This document provides an overview of key concepts from Chapter 1 of a linear functions textbook, including:
- Solving linear equations and using data to create scatterplots and graph lines
- Finding equations of lines from their graphs or intercepts
- Using linear models to represent real-world situations like business costs and revenues
- Identifying the slope, intercepts, domain and range of linear equations and determining if sets of points represent functions
The chapter content is explained through examples like modeling the costs and profits of a golf cart refurbishing business.
The document discusses various topics related to data handling and probability. It defines key terms like data, raw data, and frequency distribution. It provides examples of different types of graphical representations used to display data like bar graphs, histograms, and pie charts. It also explains the meaning and calculation of probability using examples like the probability of drawing a black or red marble from a jar containing different colors.
This document provides 10 questions to practice using spreadsheets. The questions involve calculating amounts, interest, averages, sorting data, and creating pivot tables. Students are instructed to answer all questions in an Excel file named after their division, class, roll number and name using 10 different sheets labeled for each question. The file is to be emailed to the provided address by the given deadline. Students are also asked to solve the questions by handwriting and submit the solutions on paper.
CONSIDER THE INTERVAL [0, ). FOR EACH NUMERICAL VALUE BELOW, IS IT IN THE INT...ViscolKanady
This document contains 10 multiple choice and short answer mathematics questions. The questions cover topics such as intervals, functions, graphs, equations, and economic concepts. For each question, the user is asked to show work, choose an answer among options provided, or state responses in short phrases or single words.
How to combine interpolation and regression graphs in RDougLoqa
This is a general tutorial that shows you how to take Census data, aggregate columns/rows and use interpolation lines and regression curves in your graphs. You can graph individual rows/columns or aggregate rows/columns. There is an example of graphs created here: https://www.linkedin.com/pulse/comparison-annual-income-going-back-from-2017-doug-loqa-doug-loqa/
Present the data using various diagram and graphs
Simple Bar Diagram, Multiple Bar Diagram, Compound/ Subdivided Bar Diagram, Proportional Bar Diagram,Pie-chart
Pictogram,Line Diagram, Population Pyramid.
This numeracy test for year 5 students contains 20 problems involving missing numbers in series, rounding, estimating, operations with fractions and decimals, word problems, conversions between units, and identifying factors and multiples. Students are asked to fill in missing numbers, perform calculations, estimate values, convert between units like pounds to kilograms and centimeters to meters, and identify mathematical properties. The test covers a range of basic numeracy skills.
The document discusses various topics related to data handling and probability. It defines key terms like data, raw data, and frequency distribution. It provides examples of different types of graphical representations used to display data like bar graphs, histograms, and pie charts. It also explains the meaning and calculation of probability using examples like the probability of drawing a black or red marble from a jar containing different colors.
This document provides 10 questions to practice using spreadsheets. The questions involve calculating amounts, interest, averages, sorting data, and creating pivot tables. Students are instructed to answer all questions in an Excel file named after their division, class, roll number and name using 10 different sheets labeled for each question. The file is to be emailed to the provided address by the given deadline. Students are also asked to solve the questions by handwriting and submit the solutions on paper.
CONSIDER THE INTERVAL [0, ). FOR EACH NUMERICAL VALUE BELOW, IS IT IN THE INT...ViscolKanady
This document contains 10 multiple choice and short answer mathematics questions. The questions cover topics such as intervals, functions, graphs, equations, and economic concepts. For each question, the user is asked to show work, choose an answer among options provided, or state responses in short phrases or single words.
How to combine interpolation and regression graphs in RDougLoqa
This is a general tutorial that shows you how to take Census data, aggregate columns/rows and use interpolation lines and regression curves in your graphs. You can graph individual rows/columns or aggregate rows/columns. There is an example of graphs created here: https://www.linkedin.com/pulse/comparison-annual-income-going-back-from-2017-doug-loqa-doug-loqa/
Present the data using various diagram and graphs
Simple Bar Diagram, Multiple Bar Diagram, Compound/ Subdivided Bar Diagram, Proportional Bar Diagram,Pie-chart
Pictogram,Line Diagram, Population Pyramid.
This numeracy test for year 5 students contains 20 problems involving missing numbers in series, rounding, estimating, operations with fractions and decimals, word problems, conversions between units, and identifying factors and multiples. Students are asked to fill in missing numbers, perform calculations, estimate values, convert between units like pounds to kilograms and centimeters to meters, and identify mathematical properties. The test covers a range of basic numeracy skills.
The document contains questions from past exams for various subjects related to an MBA program. The first section includes questions on Organizational Behavior and Principles and Practices of Management. The second section covers Management Accounting, with questions on topics like standard costing, budgeting, and break-even analysis. The third section is on Managerial Economics and includes definitions and concepts.
This document discusses and compares different polygon filling algorithms:
- Scan line algorithm works by intersecting a scanline with polygon edges and filling between intersections.
- Flood fill algorithm uses 4-connected or 8-connected pixels to fill an area starting from a seed point until a boundary is reached.
- Boundary fill is similar to flood fill but only fills along the polygon boundary rather than the entire interior region.
- The difference is that flood fill fills the entire interior region while boundary fill only fills the polygon outline.
The document discusses Karnaugh maps, which are used to simplify Boolean algebraic expressions. It describes the basics of Karnaugh maps including their introduction in 1953, how they can simplify sum of products and product of sums expressions, their properties for two and three variable maps, and the rules for grouping cells in maps. Advantages are their simplicity and reducing costs. Applications include simplifying circuits.
The document discusses minimizing Boolean expressions using Karnaugh maps. It explains that Karnaugh maps provide a graphical way to simplify logic circuits by grouping adjacent 1s in the map. The steps for minimization using Karnaugh maps are outlined, including drawing the map, entering values, forming the largest possible groups of 1s, and selecting the fewest groups needed to cover all 1s. Rules for grouping such as group size and overlap are also covered.
This document discusses mathematical modeling and provides several examples to illustrate the process. It begins by defining mathematical modeling as using mathematical concepts to describe real-world phenomena. It then lists several examples of problems that can be solved using mathematical modeling. The document goes on to outline the basic principles and steps of mathematical modeling, including identifying the problem, relevant variables and data, assumptions, governing equations, and comparing the model's results to observations. Finally, it provides several examples walking through applying these steps to problems like estimating raw material needs for a business, maximizing production output based on constraints, and more.
- The document discusses discrete and continuous domains in functions. A discrete domain is made up of distinct, unconnected points, while a continuous domain includes all numbers on the number line and makes connected lines or curves.
- One example shows a discrete function with domain values of 0, 1, 2, 3, 4, representing ticket prices. Another shows a continuous function for cheese prices with domain values from 0 to any fraction or decimal.
- Key differences are that discrete domains only include certain numbers while continuous domains include all numbers in the given interval.
Application of Mathematics in Business : F 107 - Group Kjafar_sadik
The document discusses using linear equations and differential calculus to analyze the business operations of BestWay CNG Filling Station. Linear equations are used to determine the cost, revenue, and profit functions, and calculate the break-even point of 60,000 units. Differential calculus is applied to minimize the area needed for the station given space requirements, determining the optimal dimensions are 245.4 feet by 163 feet for an area of 88,792.2 square feet.
Karnaugh maps are a graphical technique used to simplify Boolean logic equations. They represent truth tables in a two-dimensional layout where physically adjacent cells imply logical adjacency. This adjacency allows common terms to be factored out to minimize logic expressions. Karnaugh maps are most commonly used to manually minimize logic with up to four variables into sum-of-products or product-of-sums form.
1. Advantages of Karnaugh Maps
2. SOPS And POPS
3. Properties
4. Simplification Process
5. How to solve the Karenaugh map?
6. Different Types Of K-Maps
7. Presentation Introduction
8. Don't Care Condition
9. Conclution
The document discusses the assignment problem and various methods to solve it. The assignment problem involves assigning jobs to workers or other resources in an optimal way according to certain criteria like minimizing time or cost. The Hungarian assignment method is described as a multi-step algorithm to find the optimal assignment between jobs and workers/resources. It involves creating a cost matrix and performing row and column reductions to arrive at a matrix with zeros that indicates the optimal assignment. The document also briefly discusses handling unbalanced and constrained assignment problems.
This document contains two practice papers for the Scottish National 5 Mathematics exam. Paper 1 contains 11 multi-part questions testing various math skills. Paper 2 similarly contains 11 multi-part questions testing math concepts like algebra, geometry, statistics and trigonometry. The document also includes a formula sheet to use for reference while taking the exams.
This document provides a practice paper for the National 5 Mathematics exam in Scotland. It contains two sample exam papers with multiple choice and free response questions testing concepts in algebra, geometry, trigonometry, and statistics. An answer key is provided with worked out solutions for all questions. The document also lists common formulas students may find useful for the exam.
Karnaugh maps (K-maps) are used to simplify Boolean logic expressions. A K-map arranges the minterms from a truth table into an array of cells where adjacent cells differ by only one variable. Groups of adjacent 1s in the K-map correspond to terms in a sum-of-products expression. The process of mapping a logic function onto a K-map and grouping 1s results in a minimum simplified expression. Don't care conditions can be treated as 1s to form larger groups for greater simplification. Both sum-of-products and product-of-sums expressions can be mapped and minimized using K-maps.
The document discusses Karnaugh maps (K-maps), which are a tool for representing and simplifying Boolean functions with up to six variables. K-maps arrange the variables in a grid according to their binary values. Adjacent cells that differ in only one variable can be combined to simplify the function by eliminating that variable. The document provides examples of using K-maps to minimize Boolean functions in sum of products and product of sums form. It also discusses techniques like combining cells into the largest groups possible and handling don't-care conditions to further simplify expressions.
The document provides warnings and instructions for relearning algebraic skills based on poor quiz results. It emphasizes finding the variable, operation, and using the inverse operation on both sides before solving multi-step equations in a step-by-step manner. Specific examples are provided and homework assignments are listed at the end.
My aim for this flipbook was to raise awareness about the dangers of Facebook and social media. We are all so consumed in social media today that we sometimes fail to realize how posting or uploading can have terrifying effects. I think it is up to our generation to teach our children the dangers of using social media that coexist with the benefits of it.
This document describes a Comenius multilateral school partnership project called "The Fairytale of the European G(old)en Future". As part of annual Christmas charity events, students from the Bulgarian team prepared items to sell at a street bazaar and auction. They made Christmas cards to sell and cooked traditional Bulgarian dishes for the auction. Money raised was given to socially weak students and seniors. Participants were glad to meet Christmas through their charity work.
Three mountain climbers, Simone Moro, Ueli Steck and Jonathan Griffin, were attacked by a group of around 100 Sherpas while climbing Mount Everest in Nepal. An argument had broken out after the climbers were accused of knocking loose ice down and hitting a Sherpa below. The Sherpas became angry and attacked the climbers, punching, kicking and throwing rocks at them. The incident occurred on April 30, 2013 at around 8am at an elevation of 23,000 feet on the mountain.
This document contains a collection of inspirational quotes and sayings about life, success, failure, growth, and overcoming challenges. Some of the key messages conveyed are that after every storm the sun will shine again, success is a journey not a destination, doubt is the beginning of wisdom, and what doesn't kill you makes you stronger.
This document discusses storage of raw materials and finished products in factories. It defines storage as keeping commodities or raw materials for a period of time until they are needed. Raw materials should be stored properly in clean, dry, and organized areas to prevent quality issues. Proper storage includes labeling materials, storing them off the floor on shelves in a well-lit area, and maintaining consistent temperature and humidity. Rolled storage is recommended for large textiles while flat storage in drawers is best for painted or small items. The goals of storage are to have zero defects, stoppages, and excess storage using just-in-time principles.
The document contains questions from past exams for various subjects related to an MBA program. The first section includes questions on Organizational Behavior and Principles and Practices of Management. The second section covers Management Accounting, with questions on topics like standard costing, budgeting, and break-even analysis. The third section is on Managerial Economics and includes definitions and concepts.
This document discusses and compares different polygon filling algorithms:
- Scan line algorithm works by intersecting a scanline with polygon edges and filling between intersections.
- Flood fill algorithm uses 4-connected or 8-connected pixels to fill an area starting from a seed point until a boundary is reached.
- Boundary fill is similar to flood fill but only fills along the polygon boundary rather than the entire interior region.
- The difference is that flood fill fills the entire interior region while boundary fill only fills the polygon outline.
The document discusses Karnaugh maps, which are used to simplify Boolean algebraic expressions. It describes the basics of Karnaugh maps including their introduction in 1953, how they can simplify sum of products and product of sums expressions, their properties for two and three variable maps, and the rules for grouping cells in maps. Advantages are their simplicity and reducing costs. Applications include simplifying circuits.
The document discusses minimizing Boolean expressions using Karnaugh maps. It explains that Karnaugh maps provide a graphical way to simplify logic circuits by grouping adjacent 1s in the map. The steps for minimization using Karnaugh maps are outlined, including drawing the map, entering values, forming the largest possible groups of 1s, and selecting the fewest groups needed to cover all 1s. Rules for grouping such as group size and overlap are also covered.
This document discusses mathematical modeling and provides several examples to illustrate the process. It begins by defining mathematical modeling as using mathematical concepts to describe real-world phenomena. It then lists several examples of problems that can be solved using mathematical modeling. The document goes on to outline the basic principles and steps of mathematical modeling, including identifying the problem, relevant variables and data, assumptions, governing equations, and comparing the model's results to observations. Finally, it provides several examples walking through applying these steps to problems like estimating raw material needs for a business, maximizing production output based on constraints, and more.
- The document discusses discrete and continuous domains in functions. A discrete domain is made up of distinct, unconnected points, while a continuous domain includes all numbers on the number line and makes connected lines or curves.
- One example shows a discrete function with domain values of 0, 1, 2, 3, 4, representing ticket prices. Another shows a continuous function for cheese prices with domain values from 0 to any fraction or decimal.
- Key differences are that discrete domains only include certain numbers while continuous domains include all numbers in the given interval.
Application of Mathematics in Business : F 107 - Group Kjafar_sadik
The document discusses using linear equations and differential calculus to analyze the business operations of BestWay CNG Filling Station. Linear equations are used to determine the cost, revenue, and profit functions, and calculate the break-even point of 60,000 units. Differential calculus is applied to minimize the area needed for the station given space requirements, determining the optimal dimensions are 245.4 feet by 163 feet for an area of 88,792.2 square feet.
Karnaugh maps are a graphical technique used to simplify Boolean logic equations. They represent truth tables in a two-dimensional layout where physically adjacent cells imply logical adjacency. This adjacency allows common terms to be factored out to minimize logic expressions. Karnaugh maps are most commonly used to manually minimize logic with up to four variables into sum-of-products or product-of-sums form.
1. Advantages of Karnaugh Maps
2. SOPS And POPS
3. Properties
4. Simplification Process
5. How to solve the Karenaugh map?
6. Different Types Of K-Maps
7. Presentation Introduction
8. Don't Care Condition
9. Conclution
The document discusses the assignment problem and various methods to solve it. The assignment problem involves assigning jobs to workers or other resources in an optimal way according to certain criteria like minimizing time or cost. The Hungarian assignment method is described as a multi-step algorithm to find the optimal assignment between jobs and workers/resources. It involves creating a cost matrix and performing row and column reductions to arrive at a matrix with zeros that indicates the optimal assignment. The document also briefly discusses handling unbalanced and constrained assignment problems.
This document contains two practice papers for the Scottish National 5 Mathematics exam. Paper 1 contains 11 multi-part questions testing various math skills. Paper 2 similarly contains 11 multi-part questions testing math concepts like algebra, geometry, statistics and trigonometry. The document also includes a formula sheet to use for reference while taking the exams.
This document provides a practice paper for the National 5 Mathematics exam in Scotland. It contains two sample exam papers with multiple choice and free response questions testing concepts in algebra, geometry, trigonometry, and statistics. An answer key is provided with worked out solutions for all questions. The document also lists common formulas students may find useful for the exam.
Karnaugh maps (K-maps) are used to simplify Boolean logic expressions. A K-map arranges the minterms from a truth table into an array of cells where adjacent cells differ by only one variable. Groups of adjacent 1s in the K-map correspond to terms in a sum-of-products expression. The process of mapping a logic function onto a K-map and grouping 1s results in a minimum simplified expression. Don't care conditions can be treated as 1s to form larger groups for greater simplification. Both sum-of-products and product-of-sums expressions can be mapped and minimized using K-maps.
The document discusses Karnaugh maps (K-maps), which are a tool for representing and simplifying Boolean functions with up to six variables. K-maps arrange the variables in a grid according to their binary values. Adjacent cells that differ in only one variable can be combined to simplify the function by eliminating that variable. The document provides examples of using K-maps to minimize Boolean functions in sum of products and product of sums form. It also discusses techniques like combining cells into the largest groups possible and handling don't-care conditions to further simplify expressions.
The document provides warnings and instructions for relearning algebraic skills based on poor quiz results. It emphasizes finding the variable, operation, and using the inverse operation on both sides before solving multi-step equations in a step-by-step manner. Specific examples are provided and homework assignments are listed at the end.
My aim for this flipbook was to raise awareness about the dangers of Facebook and social media. We are all so consumed in social media today that we sometimes fail to realize how posting or uploading can have terrifying effects. I think it is up to our generation to teach our children the dangers of using social media that coexist with the benefits of it.
This document describes a Comenius multilateral school partnership project called "The Fairytale of the European G(old)en Future". As part of annual Christmas charity events, students from the Bulgarian team prepared items to sell at a street bazaar and auction. They made Christmas cards to sell and cooked traditional Bulgarian dishes for the auction. Money raised was given to socially weak students and seniors. Participants were glad to meet Christmas through their charity work.
Three mountain climbers, Simone Moro, Ueli Steck and Jonathan Griffin, were attacked by a group of around 100 Sherpas while climbing Mount Everest in Nepal. An argument had broken out after the climbers were accused of knocking loose ice down and hitting a Sherpa below. The Sherpas became angry and attacked the climbers, punching, kicking and throwing rocks at them. The incident occurred on April 30, 2013 at around 8am at an elevation of 23,000 feet on the mountain.
This document contains a collection of inspirational quotes and sayings about life, success, failure, growth, and overcoming challenges. Some of the key messages conveyed are that after every storm the sun will shine again, success is a journey not a destination, doubt is the beginning of wisdom, and what doesn't kill you makes you stronger.
This document discusses storage of raw materials and finished products in factories. It defines storage as keeping commodities or raw materials for a period of time until they are needed. Raw materials should be stored properly in clean, dry, and organized areas to prevent quality issues. Proper storage includes labeling materials, storing them off the floor on shelves in a well-lit area, and maintaining consistent temperature and humidity. Rolled storage is recommended for large textiles while flat storage in drawers is best for painted or small items. The goals of storage are to have zero defects, stoppages, and excess storage using just-in-time principles.
This document provides an overview of expert systems and CVIP tools. It defines an expert system as a computer program containing subject-specific knowledge from human experts. The key components of an expert system are the knowledge base containing the system's knowledge represented as rules, the inference engine that derives answers from the knowledge base, and the user interface. Developing an expert system involves determining the problem characteristics, translating the expert's knowledge, and designing the reasoning structure. CVIP tools can be used for image analysis tasks like enhancement, restoration, compression, and utilities.
This document describes traditional Bulgarian national costumes as a specific cultural characteristic of the Bulgarian people. It notes that the costumes are handmade using materials like linen, hemp, wool, cotton and silk, and are richly embroidered. It outlines some of the main elements of traditional women's and men's costumes, including various types of aprons, headgear, belts and accessories. It also explains that Bulgaria has six ethnographic regions, each with their own distinctive features influenced by neighboring countries. The document concludes by mentioning that Bulgarian painter Vladimir Dimitrov was inspired by the colorful costumes of young women for some of his most famous paintings.
This document summarizes the activities of a Bulgarian school group for a European multi-lateral partnership project focused on traditions. The group visited local libraries and retirement homes where they learned folk songs, knitting, and how to make "martenitsi" decorations. They also participated in charity events like a Christmas bazaar. The document describes the legend and symbolism of the martenitsi tradition in Bulgaria, where red and white threads are worn in March to wish for health and speed the coming of spring. It provides details on crafting the decorations by hand tying red and white yarn.
This document discusses HP SmartCache technology, which uses solid-state drives (SSDs) to cache frequently accessed data from hard disk drives (HDDs). This improves performance over HDD-only systems by serving cached data from SSDs faster than HDDs, while maintaining high capacity from HDDs. The caching architecture stores a copy of data on both SSDs and HDDs. Management tools provide analytics on cache hit rates. A case study shows SmartCache doubled the transactions per second of an online transaction processing workload compared to HDD-only storage. In conclusion, SmartCache provides SSD performance benefits while preserving investments in HDD capacity.
This document provides an overview of expert systems and CVIP tools. It defines an expert system as a computer program containing subject-specific knowledge from human experts. The key components of an expert system are the knowledge base containing the system's knowledge represented as rules, the inference engine that derives answers from the knowledge base, and the user interface. Developing an expert system involves determining the problem characteristics, translating the expert's knowledge, and designing the reasoning structure. CVIP tools can be used for image analysis tasks like enhancement, restoration, compression, and utilities.
The document discusses various aspects of Christianity based on the author's study of the Bible and other religious texts. It notes that the word "Christianity" is not found in the Bible and was first used by pagans to describe Jesus' followers. It also highlights that there are many different versions of the Bible used by different Christian sects. The author questions the validity of basing a religion on doctrines created by men rather than what is clearly taught in the scriptures. The document aims to provide objective information to help Christians examine their faith.
Este documento describe las diferentes partes y funciones del teclado de una computadora. Explica las teclas de función, las teclas de navegación, el teclado numérico y cómo usarlos. También describe los métodos abreviados de teclado y cómo mover el cursor y navegar usando las teclas.
Informe de las páginas www.colombiaaprende.edu.do www.medellin.edu.coSebastian Arboleda
El documento proporciona dos sitios web relacionados con la educación en Colombia. WWW.COLOMBIAAPRENDE.EDU.CO es el portal educativo del gobierno colombiano. WWW.MEDELLIN.EDU.COM ofrece información sobre oportunidades educativas en la ciudad de Medellín.
La película trata sobre un grupo de amigos que planean una noche de diversión. Sin embargo, las cosas no salen como lo habían planeado y se encuentran en una situación peligrosa que pone en riesgo sus vidas. Deberán usar su ingenio para salir con vida de la situación en la que se metieron.
El documento describe la importancia del juego en el nivel inicial y cómo debe fomentarse. El juego es fundamental para el desarrollo cognitivo de los niños ya que les permite practicar habilidades como comparar, negociar, mantener reglas en mente y pensar sobre sus acciones. El jardín debe ofrecer diferentes tipos de juego a través de actividades libres, espacios adaptados, materiales variados y la guía docente.
Introductory Algebra Lesson 11 – Linear Functions, Part 2 .docxmariuse18nolet
Introductory Algebra Lesson 11 – Linear Functions, Part 2
Practice Problems
Skills Practice
1. Determine the slope-intercept form of the equation of the line between each of the following
pairs of points.
a. (4, -5) and (2, 3)
b. (-3, 2) and (1, 8)
c. (5, -9) and (5, 2)
d. (2, -1) and (-2, 3)
e. (4, 3) and (12, -3)
f. (2, -4) and (7, -4)
Introductory Algebra Lesson 11 – Linear Functions, Part 2
2. Give the equation of the linear function that generates the following table of values. Write
your answer in slope-intercept form.
x f (x)
-5 91
-2 67
1 43
4 19
9 -21
3. Give the equation of the linear function that generates the following table of values. Write
your answer in slope-intercept form.
t C(t)
5 -1250
15 -900
20 -725
35 -200
45 150
4. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
Introductory Algebra Lesson 11 – Linear Functions, Part 2
5. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
6. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
7. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
Introductory Algebra Lesson 11 – Linear Functions, Part 2
8. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
9. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
10. Give the equation of the linear function shown below. Write your answer in slope-intercept
form.
Introductory Algebra Lesson 11 – Linear Functions, Part 2
11. Give the equation of the horizontal line passing through the point (-6, 11). _______________
12. Give the equation of the vertical line passing through the point (4, 7). _______________
13. Give the equation of the x-axis. _______________
14. Give the equation of the y-axis. _______________
15. Give the equation of the line passing through the point (1, -5) that is parallel to y = 12 – 8x.
16. Give the equation of the line passing through the point (6, 0) that is parallel to y = x
2
3
9 .
17. Give the equation of the line passing through the point (10, 3) that is perpendicular to
1
5
2
xy .
18. Give the equation of the line passing through the point (-12, -1) that is perpendicular to
xy 43 .
Introductory Algebra Lesson 11 – Linear Functions, Part 2
19. Draw an accurate graph of the linear equation 2x + 3y = 6.
Slope-Intercept Form:
Slope: ___________
Vertical Intercept: ____________
Horizontal Intercept: ____________
Two additional points on the line:
____________ _____________
20. Draw an accurate graph of the function 155 yx
Slope-In.
The document contains several word problems involving linear relationships between two variables. It asks the student to identify slopes and intercepts of linear trendlines, interpret them in real world contexts, make predictions based on linear models, and justify whether a linear model is appropriate for different situations. The student is asked to perform various calculations and algebraic manipulations to solve the problems.
Question 1 – Exercise 8.3Why is it not possible in Example 8.1 o.docxIRESH3
This document contains information and questions related to exercises on variable costing, absorption costing, and contribution margin analysis. It provides cost and sales data for multiple companies and products, and asks the reader to calculate various financial metrics like variable costs, contribution margins, and net income under different costing methods and sales levels. The exercises are intended to help the reader practice converting between variable and absorption costing income statements and calculating contribution margins.
K to 12 - Grade 8 Math Learners Module Quarter 2Nico Granada
Here are the completed statements based on the conclusions:
1. n(A × B) = n(B × A).
2. A × B ≠ B × A.
The key conclusions are:
1. The cardinalities of the Cartesian products A × B and B × A are equal, since n(A × B) = n(B × A).
2. However, the sets A × B and B × A are not equal, since the ordered pairs will be arranged differently, so A × B ≠ B × A.
The document introduces the topic of relations and functions and outlines 3 lessons that will be covered - rectangular coordinate system, representations of relations and functions, and linear functions and applications. It provides learning objectives for each lesson and examples of how concepts like slope, intercepts, and graphs will be explored. A pre-assessment with 20 multiple choice questions is also included to gauge students' prior knowledge.
The document introduces the key concepts that will be covered in a module on relations and functions, including the rectangular coordinate system, representations of relations and functions, and linear functions and their applications. It outlines 3 lessons that will examine how to predict the value of a quantity given the rate of change, and provides sample problems to assess students' prior knowledge on these topics before beginning the lessons.
Instructions This is an open-book exam. You may refer to you.docxdirkrplav
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
There are 25 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-15 are short answer. Record your answer for each problem.
Problems #16-25 are short answer with work required when directed. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13. (a)
(b)
(c)
(d)
14. (a)
(b)
(c)
15. (a)
(b)
(c)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
16
Answers:
(a)
(b)
(c)
Work for (a), (b), and (c):
17
Answer:
Work:
18
Answer:
Work:
19
Answers:
(a)
(b)
(c)
Work for (a) and (b):
20
Answer:
Work:
21
Answer:
Work:
22
Answer:
Work:
23
Answers:
(a)
(b)
(c)
(d)
Work for (b), (c), and (d):
24
Answer:
Work:
25
Answers:
(a)
(b) Region I:
Region II:
Region III:
Region IV:
Work:
MATH 106 Finite Mathematics 2148-OL4-7983-3D
Page 1 of 10
MATH 106 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed. Use of instructors’ solutions
manuals or online problem solving services in NOT allowed.
Record your answers and work on the separate answer sheet provided.
There are 25 problems.
Problems #1–12 are Multiple Choice.
Problems #13–15 are Short Answer. (Work not required to be shown)
Problems #16–25 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. – 2. Amalgamated Furniture Company makes dining room tables and chairs. A table requires
8 labor-hours for assembling and 2 labor-hours for finishing. A chair requires 2 labor-hours for
assembly and 1 labor-hour for finishing. The maximum labor-hours available per day for
assembling and finishing are 400 and 120, respectively. Production costs are $600 per table and
$150 per chair. Let x represent number of tables and y represent number of chairs made per day.
1. Identify the daily production constraint for finishing:
.
Pre-Calculus Midterm Exam
1
Score: ______ / ______
Name: ____________________________
Student Number: ___________________
Short Answer: Type your answer below each question. Show your work.
1 Verify the identity. Show your work.
cot θ ∙ sec θ = csc θ
2 A gas company has the following rate schedule for natural gas usage in single-family residences:
Monthly service charge $8.80
Per therm service charge
1st 25 therms $0.6686/therm
Over 25 therms $0.85870/therm
What is the charge for using 25 therms in one month? Show your work.
What is the charge for using 45 therms in one month? Show your work.
Construct a function that gives the monthly charge C for x therms of gas.
Pre-Calculus Midterm Exam
2
3 The wind chill factor represents the equivalent air temperature at a standard wind speed that would
produce the same heat loss as the given temperature and wind speed. One formula for computing
the equivalent temperature is
W(t) = {
𝑡
33 −
(10.45+10√𝑣−𝑣)(33−𝑡)
2204
33 − 1.5958(33 − 𝑡)
if 0 ≤ v < 1.79
if 1.79 ≤ v < 20
if v ≥ 20
where v represents the wind speed (in meters per second) and t represents the air temperature .
Compute the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second.
(Round the answer to one decimal place.) Show your work.
4 Complete the following:
(a) Use the Leading Coefficient Test to determine the graph's end behavior.
(b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis
and turns around at each intercept. Show your work.
(c) Find the y-intercept. Show your work.
f(x) = x2(x + 2)
(a).
(b).
(c).
Pre-Calculus Midterm Exam
3
5 For the data set shown by the table,
a. Create a scatter plot for the data. (You do not need to submit the scatter plot)
b. Use the scatter plot to determine whether an exponential function or a logarithmic function is
the best choice for modeling the data.
Number of Homes Built in a Town by Year
6 Verify the identity. Show your work.
(1 + tan2u)(1 - sin2u) = 1
Pre-Calculus Midterm Exam
4
7 Verify the identity. Show your work.
cot2x + csc2x = 2csc2x - 1
8 Verify the identity. Show your work.
1 + sec2xsin2x = sec2x
Pre-Calculus Midterm Exam
5
9 Verify the identity. Show your work.
cos(α - β) - cos(α + β) = 2 sin α sin β
10 The following data represents the normal monthly precipitation for a certain city.
Draw a scatter diagram of the data for one period. (You
This document contains a multi-part economics homework assignment involving supply and demand curves. It includes:
1) Graphing demand and supply curves for MSU sweatshirts and calculating the original equilibrium price and quantity.
2) Analyzing a news article showing a market equilibrium change and illustrating it with supply/demand graphs.
3) Drawing supply/demand diagrams to show how equilibrium changes with shifts in demand or supply for milk.
4) Multiple choice questions about supply, demand, and factors that shift the curves.
Math 095 Final Exam Review (updated 102811) This .docxandreecapon
Math 095 Final Exam Review (updated 10/28/11)
This review is an attempt to provide a comprehensive review of our course concepts and problem types, but there
is no guarantee the final will only include problems like in this review. This is a good starting point in your review
for the final, but you should also study the textbook, your notes and homework.
Module I – Sections 1.1, 1.6, 2.1, 2.2, 2.3
1. Consider the graph of the function f to the right.
a) How can you tell the graph represents a
function?
b) What is the independent variable?
c) What is the dependent variable?
d) What is the value of
(6)f ?
( 2)f ?
e) For what values of x is ( ) 2f x ?
f) What is the domain of the function?
g) What is the range of the function?
- 2
- 1
2
6
5
4
3
1
654321- 1- 2
x
y
2. Do the tables represent functions? How do you know?
a) b)
3. The graph at right represents a scattergram and a linear model for the number of companies on the NASDAQ1 stock
market between 1990 and 1999, where n represents the number of companies t years after 1990.
a) Using the linear model, in what year were there
approximately 3500 companies?
b) What is the n-intercept of the linear model and what
does it mean?
c) What is the t-intercept and what does it mean?
d) From the linear model, what would you predict the
number of companies to be in the year 1996?
x 3 5 7 3 5
y 2 6 8 9 6
x 5 4 2 1 0
y 2 6 8 9 6
Years since 1990
0 2 4 6 108 12
1
2
3
4
N
um
b
er
o
f
co
m
p
an
ie
s
(t
h
o
us
an
ds
)
Number of Companies on the Nasdaq Stock Market
between 1990 and 1999n
t
5
Online MTH095 Final Review 2
KA 10/28/2011
4. Find a linear equation of the line that passes through the given pairs of points.
a) (3, 5) and (7,1)
b) (4, 6) and (2, 0)
5. The average consumption of sugar in the U.S. increased from 26 pounds per person in 1986 to 136 pounds per person
in 2006. Let p be the average number of pounds consumed t years after 1980. Find an equation of a linear model that
describes the data.
6. If 2( ) 2 4f x x , find the following.
a) ( 3)f
b) (0)f
c) (5.2)f
Module 2 – Sections 4.1, 4.2, 4.3, 4.4, 4.5
7. Simplify each of the following and write without negative exponents.
a)
2
3
4
y
b)
2 36
1 4
x y
x y
c) 252 25 xxx
d)
4
10
p
8. Simplify each expression using the laws of exponents. Write the answers with positive exponents.
a) 2 43 35 3x x
Online MTH095 Final Review 3
KA 10/28/2011
b)
3
44
5
x
x
c)
3
52
3
m
t
d)
1
26 4m n
9. Let
1
( ) (4)
2
xf x
a) What is the y-intercept of the graph of f ?
b) Does f represent growth or decay?
c) Find ( 2)f
d) Find (2)f
e) Find x when ( ) 32f x
10. Find ...
Short Answer Type your answer below each question. Show your work.docxbjohn46
Short Answer:
Type your answer below each question. Show your work.
1
Verify the identity.
cot θ ∙ sec θ = csc θ
2
A gas company has the following rate schedule for natural gas usage in single-family residences:
Monthly service charge $8.80
Per therm service charge
1st 25 therms $0.6686/therm
Over 25 therms $0.85870/therm
What is the charge for using 25 therms in one month?
What is the charge for using 45 therms in one month?
Construct a function that gives the monthly charge C for x therms of gas.
3
The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is
W(t) =
where v represents the wind speed (in meters per second) and t represents the air temperature . Compute the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second. (Round the answer to one decimal place.)
4
Complete the following:
(a) Use the Leading Coefficient Test to determine the graph's end behavior.
(b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and turns around at each intercept.
(c) Find the y-intercept.
f(x) = x
2
(x + 2)
(a).
(b).
(c).
5
For the data set shown by the table,
a. Create a scatter plot for the data. (You do not need to submit the scatter plot)
b. Use the scatter plot to determine whether an exponential function or a logarithmic function is the best choice for modeling the data.
Number of Homes Built in a Town by Year
6
Verify the identity.
(1 + tan
2
u)(1 - sin
2
u) = 1
7
Verify the identity
.
cot
2
x + csc
2
x = 2csc
2
x - 1
8
Verify the identity.
1 + sec
2
xsin
2
x = sec
2
x
9
Verify the identity.
cos(α - β) - cos(α + β) = 2 sin α sin β
10
The following data represents the normal monthly precipitation for a certain city.
Draw a scatter diagram of the data for one period. (You do not need to submit the scatter diagram). Find the sinusoidal function of the form
that fits the data.
Multiple Choice:
Type your answer choice in the blank next to each question.
_____11.
The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question.
Does the graph represent a function?
A. Yes
B. No
_____12.
Find the vertical asymptotes, if any, of the graph of the rational function.
f(x) =
A. x = 0 and x = 4
B. x = 0
C. x = 4
D. no vertical asymptote
_____13.
The formula A = 118e
0.024t
models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 140 thousand?
A. 2008
B. 2005
C. 2006
.
{NAME}{DATE}IDS 210HM – Culture Through Literature The Story .docxgerardkortney
{NAME}
{DATE}
IDS 210HM – Culture Through Literature: The Story of Cinderella
Graphic Organizer
Directions: Complete the graphic organizer using the Disney version of Cinderella, along with two other versions from two different cultures. DO NOT use any of the fractured fairy-tale versions. You can just type your information into the graphic organizer. It may be useful to bullet each of your points of information. Once this graphic organizer is complete, you will synthesize the information into a PowerPoint/Prezi presentation. Both the graphic organizer and PowerPoint will be turned in for grading.
Disney Version
Version 1
Version 2
Story Elements
Complete Title/Author
Cinderella
Based on the Charles Perrault version
Country/Origin/Year
France
Disney movie 1950
Main Characters
Sequence of Events
Resolution
Motif Elements
Magical Guardian
Magical Aspects
Animals
Heroine’s Wish
Lost Item
Cultural Elements
Setting/Geography/Natural Resources
Food
Dress
Language
Religion/Celebrations
Family Structure
Societal Roles (as determined by gender, age, and class)
Societal Values
SLU Core Value of Respect Connection to Assignment
{Narrative}
Sources
{In MLA format}
Instructor: Ram Sewak Dubey ECON 317: Problem Set 2 September 28, 2018
1. [Graph I - Demand Function]
A complete demand fucntion is given by the equation
Qd =−30P+0.05Y +2Pr +4T
wherer P is the price of the good, Y is the income, Pr is the price of a related good (here it
is a substitute, why?) and T is the taste parameter.
(a) Can we graph this function?
(b) Draw the graph of the demand function, by assuming Y = 6000, Pr = 20, and T = 30.
(c) Describe in words, as to what does a typical demand function, like the one here,
shows?
(d) What happens to the graph if the price of the good changes from $5 to $8?
(e) What happens to the graph when T changes from 30 to 40; or income increases from
6000 to 8000.
(f) In economics, we typically draw the demand curve by graphing the independent vari-
able (price, P) on the vertical axis and the dependent variable (quantity Qd) on the
horizontal axis. For this we modify the demand function to inverse demand function.
What is the inverse demand function for the above demand.
2. [Graph II - Budget Line]
A person has $120 to spend on two goods (x and y) whose respective prices are $3 and $5
per unit.
(a) Draw the budget line showing all the different combinations of the two goods that can
be bought with the given budget.
(b) What happens to the budget line if the budget (money available to spend) falls by 25%.
(c) What happens to the budget line if the price of good x doubles?
(d) What happens to the budget line if the price of good y falls to $4?
(e) Bonus Question Consider a scheme of quantity discount where is you buy more than
20 units of good x for each additional unit the price of good x is lower by 50%. Draw
the new budget line.
Submission deadline: October 3, 2018 11:59 .
This document appears to be a math exam consisting of two sections - Section I does not allow calculators, while Section II does. Section I contains 30 multiple choice questions to be completed in 30 minutes. Section II contains 13 short constructed response questions and allows 60 minutes for completion. The exam instructions state that only one answer should be marked for each multiple choice question and final results only should be written on the answer sheet for constructed response questions. Calculators are allowed in Section II and students should be aware of radian and median modes when using a calculator. A formula sheet is also provided as a reference.
Math 141 Exam Final Exam Name____________________.docxendawalling
The document is a math exam for Math 141. It contains 14 multi-part questions testing a variety of math concepts including factoring, functions, inequalities, sequences, series, logarithms, and optimization problems. Students must show their work, box their answers, and use scientific calculators. The exam covers domains, ranges, increasing/decreasing intervals, relative and absolute extrema of functions, zeros, asymptotes, graphing, rational zeros of polynomials, solving inequalities, volumes of boxes, sums of sequences and series, and solving word problems involving rectangles and rates of change.
Math 141 Exam Final Exam Name____________________.docxwkyra78
Math 141 Exam Final Exam Name:_____________________________
SCIENTIFIC CALCULATORS ONLY! YOU MUST SHOW WORK FOR CREDIT!!! BOX ANSWERS!
1. [6 ea] Factor completely; simplify.
a) 12𝑥
!
" − 5𝑥
#
" − 2 b)3(4𝑥 + 5)! − 2(4𝑥 + 5) − 1
2. [4 each (a-e)] Approximate if necessary. For the given function , find/determine:
a) Domain: Range:
b) On what interval(s) is 𝑓:
i) Increasing:
ii) Decreasing:
c) ______ when ______.
d) Find any relative extrema (tell me if you have a max or min, what it is, and where it is):
e) Find any absolute extrema (tell me if you have a max or min, what it is, and where it is):
f) [2] Is 𝑓 even, odd , or neither? g) [4] What is the end behavior?
h)[4] What are the x and y- intercepts?
( )f x
( )2f - = ( ) 4f x = x =
3. [8 pts] a) Graph the function 4. [1 ea] Given 𝑔(𝑥) = −"
!
|𝑥 + 3| − 1
𝑓(𝑥) = /
2 − 𝑥, −3 ≤ 𝑥 < 1
𝑥! − 2𝑥 + 2, 𝑥 > 1
. Label 3+ points. Explain how the graph of 𝑔(𝑥) is obtained from the graph
𝑓(𝑥) = |𝑥|. (Hint: four actions=transformations)
a)
b)
c)
d)
5. [8;6] Given that
𝑓(𝑥) = #
$
, ℎ(𝑥) = log(𝑥 + 1) , 𝑗(𝑥) = !
$%"
, 𝑔(𝑥) = √𝑥 − 10
find the following and their DOMAINS. Use Interval Notation! and simplify the function when possible.
a) b)
6. [14 pts] Given 𝑅(𝑥) = &$
$#%$%"!
find:
a) Zero(s):
b) Vertical Asymptote(s):
c) Horizontal OR Slant Asymptote: d) Sketch . You do not need
specific values except for zero(s) and
asymptote. The shape needs be accurate!!!
j! f( ) x( ) ( )
( )
h x
g x
( )R x
y-
( )R xx
7. [9] Let 𝑝(𝑥) = 2𝑥' − 9𝑥! + 7.
a) List all possible rational zeros.
b) Find the remaining zeros of if one zero is −1.
8) [8] Solve the inequality 𝑥& + 2𝑥! − 3𝑥 > 0. Graph the solution on a number line and state the solutions in interval
notation.
9. [8 pts] A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions inches
by inches by cutting out equal squares of side at each corner and then folding up the sides as in the figure.
Express the volume of the box as a function of and simplify completely.
( )p x
8
20 x
V x
x
x
10. [10 pts] Find for 𝑓(𝑥) = !
"#$
. Simplify!
11. [9 pts] Solve - use “zones” or sign-chart. Graph solution and express in Interval Notation.
%
"&'
≥ (
"&)
12. [8 pts] A landscape engineer has 200 feet of border to enclose a rectangular pond. What dimensions will result in the
largest pond?
( ) ( )f x h f x
h
+ -
13. a) [4 pts] Express in terms o
For helpful CXC Maths Multiple Choice Videos please click below
These videos are very helpful
https://oke.io/dUqlSrd
https://oke.io/UWfOCCP
https://oke.io/FrCDQ
In January 2013, Mitzu Co. pays $2,650,000 for a tract of land wit.docxbradburgess22840
In January 2013, Mitzu Co. pays $2,650,000 for a tract of land with two buildings on it. It plans to demolish Building 1 and build a new store in its place. Building 2 will be a company office; it is appraised at $823,500, with a useful life of 20 years and an $75,000 salvage value. A lighted parking lot near Building 1 has improvements (Land Improvements 1) valued at $305,000 that are expected to last another 10 years with no salvage value. Without the buildings and improvements, the tract of land is valued at $1,921,500. The company also incurs the following additional costs:
Cost to demolish Building 1
$
346,400
Cost of additional land grading
189,400
Cost to construct new building (Building 3), having a useful life
of 25 years and a $402,000 salvage value
2,222,000
Cost of new land improvements (Land Improvements 2) near Building 2 having a 20-year useful life and no salvage value
173,000
Total costs
7,965,799
Allocation of purchase price
Appraised value
Percent of total appraized value
X
Total cost of acquisition
=
Apportioned cost
Land
x
=
Building 2
x
=
Land improvements 1
x
=
Total
Land
Building 2
Building 3
Land Improvements 1
Land Improvements 2
Purchase Price
Demolition
Land grading
New Building (Construction cost)
New Improvements cost
Totals
2. Prepare a single journal entry to record all the incurred costs assuming they are paid in cash on January 1, 2013.
Journal Entry Worksheet
A. Record the costs of the plant assets.
Journal Entry Worksheet
Using the straight-line method, prepare the December 31 adjusting entries to record depreciation for the 12 months of 2013 when these assets were in use.
A. Record the year-end adjusting entry for the depreciation expense of Building 2
B. Record the year-end adjusting entry for the depreciation expense of Building 3
C. Record the year-end adjusting entry for the depreciation expense of Land Improvements 1
D. Record the year-end adjusting entry for the depreciation expense of Land Improvements 2.
Group Assignment - 0213
Instruction
Please you need to follow an appropriate format explained below..
· All written answers must be clearly typed
· All assignment questions and sub-questions should be typed in order at the heading.
· Separate each main question by different page. For example, if Question 1 (a) (b) (c) and (d) are answered on pages 1-2, then start Question 2 on page 3, etc.
1.1 The answers should be written clearly and concisely with the main points only, and avoid irrelevant points. In your answers,
· You should analyse, explain and show how and why you draw your answers. Providing just answers without explanation will not receive full marks.
1.2 You should also include appropriate and relevant diagrams, charts and tables together in your explanatio.
1 John Augustus Stone, Excerpts from Metamora; Or, the L.docxhoney725342
1
John Augustus Stone, Excerpts from Metamora; Or, the Last of the Wampanoags, 1829
Stone’s tragic play presents a fictionalized account about Metacom/King Philip, a Native
American who led an armed conflict against the Puritans of the New England colonies in the
1670s. The story examines the struggles between English settlers, such as Walter and Oceana,
and the Native American Wampanoags, including Metamora and his wife Nahmeokee. At first,
there is peace, as the English and Native Americans cooperate. As time moves on, however,
there are increasing incidents of violence, leading to the tragic end of Metamora and his family
As you read through the excerpts below, pay attention to the depictions of the Native Americans
participants, especially the mixing of the “Noble Savage” and the “Vanishing Indian” motifs.
Euro-American Edwin Forrest dressed as Native American Metamora, 1861
2
3
Act I, Scene 1
…
…
…
…
4
Act II, Scene 1
…
…
5
Act II, Scene 3
…
…
…
…
6
…
…
7
…
…
8
Act III, Scene 2
…
…
9
Act III, Scene 4
…
…
…
10
…
11
Act IV, Scene 2
…
…
…
…
12
Act V, Scene 1
…
…
13
Act V, Scene 3
…
…
14
Act V, Scene 4
…
15
Act V, Scene 5
…
…
…
…
16
…
MATH 106 Finite Mathematics 2168-OL1-6382-1A
Page 1 of 10
MATH 106 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed. Use of instructors’ solutions
manuals or online problem solving services in NOT allowed.
Record your answers and work on the separate answer sheet provided.
There are 25 problems.
Problems #1–12 are Multiple Choice.
Problems #13–15 are Short Answer. (Work not required to be shown)
Problems #16–25 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. – 2. An electronics firm manufactures two types of personal computers: a desktop model and
a laptop model. Producing a desktop computer costs $400 and 40 labor-hours. Producing a
desktop costs $250 and 30 labor-hours. The firm currently has $20,000 and 2160 labor-hours
available for desktop and laptop production. Each desktop sold brings the firm a $320 profit and
each laptop sold brings a $220 profit. Let x represent number of desktops and y represent
number of laptops made per week.
1. Identify the constraint for computer production labor-hours:
1. _______
A. 40𝑥 + ..
This document contains 30 multiple choice questions and answers related to Tableau. It covers topics like reference bands, reference distributions, trend line models, map visualizations, actions, highlighting, sheets vs dashboards, identifying continuous vs discrete fields, using measures multiple times, creating sets, variable size bins, reference lines, disaggregation, displaying measures over time, grouped fields, reference bands, heat maps, confidence intervals, trend lines, profit ratios, and more. The questions range from basic to more advanced levels and are meant to help with Tableau certification preparation or job interviews.
Homework Value of InformationPlease respond to the following.docxadampcarr67227
Homework
Value of Information
Please respond to the following:
-- Firms realize that in order to make money, they have to invest money. This can be attributed to the information that the firm relies on. As discussed in the text, there are seven characteristics of useful information. From the first e-Activity and assuming that you are new CFO of Strayer University, identify the top-three characteristics you would rely on the most for improving the profitability of the firm. Provide an example of how each characteristic would directly help the firm in terms of profitability.
-- On the other hand, public and private firms are accountable to a wide range of regulators and stakeholders. Of the seven characteristics, identify the top three that would be applicable to meeting the needs of regulators and stakeholders. Provide an example of how each characteristic would directly help the firm in terms of meeting the needs of these key regulators and stakeholders. [250 words][1-refreneces]
Impact of Design of an Accounting Information System (AIS)
Please respond to the following:
-- Some of the world’s most successful companies (Fortune 500) operate multiple lines of business. Despite this fact, many of these firms rely on a single AIS. From the second e-Activity, for the business you researched, examine how its lines of business would affect the design of a new AIS.
-- If the business was selecting a new AIS, examine how the business model would affect the design of a new AIS. [250 words][1-refreneces]
MAT 1214 – Brucks – Spring 2014 Name: ____________________________________________
Sample Exam 2
Part 2
Instructions: Answer all of the following on your own paper. Show all necessary work neatly, using proper notation, and
box your answers. When necessary, solutions may be expressed as decimals rounded to 3 places.
9. Show that the function ( ) has exactly one zero in the interval [ ], with the following steps:
a. Show that the function has at least one zero.
(Hint: To do this, show that the function changes sign in the interval.)
b. Show that the function has at most one zero.
(Hint: To do this, show that the function has no turning points in the interval.)
10. Given the velocity function ( ) and the initial position of the body moving along a coordinate line
( ) , find the body’s position at time with the following steps:
a. Find a family of functions ( ) having derivative ( ). (Use as an arbitrary constant.)
b. Find a particular member of that family of functions that satisfies the initial condition.
11. Determine the following for the function ( ) whose derivative is given below.
( ) ( )( )
a. Find the critical points of .
b. Determine the intervals on which is increasing and decreasing.
c. Determine the -values of the local extrema of by applying the first derivative test.
12. Determine the following for the function ( )
.
Homework Value of InformationPlease respond to the following.docx
Chapter%201%20 examples 2 2
1. Chapter 1
Linear Functions
Table of Contents
1.1 Solving Linear Equations
1.2 Using Data to Create Scatterplots
1.3 Fundamentals of Graphing and Slope
1.4 Intercepts and Graphing
1.5 Finding Equations of Lines
1.6 Finding Linear Models
1.7 Functions and Function Notation
3. What to expect
• In this chapter we are going to translate word
problems into equations of lines
• We will then graph those lines and find useful
properties of those lines
• We will then use those properties to analyze
what is happening in the physical situation to
give the numbers meaning
4. Golf Carts To Go sells refurbished golf carts in south Florida. The
company has fixed costs of $26,000 per month for rent, salary and
utilities. They can buy used carts and refurbish them for an
average of $1,400 each. They sell the carts for an average price of
$2500 each. Golf Carts To Go can only refurbish 55 carts a month.
a. Write an equation for the monthly cost of refurbishing n carts.
b. Write an equation for the monthly revenue from selling golf
carts.
c. Write an equation for the monthly profit the company makes if
they refurbish and sell n carts.
d. What is the profit of refurbishing and selling 25 golf carts?
1.1-24 Back to Table of Contents
5. Golf Carts To Go sells refurbished golf carts in south Florida. The
company has fixed costs of $26,000 per month for rent, salary and
utilities. They can buy used carts and refurbish them for an
average of $1,400 each. They sell the carts for an average price of
$2500 each. Golf Carts To Go can only refurbish 55 carts a month.
e. what is the fewest number of golf carts that the company can
physically or reasonably make?
f. What is the most golf carts that the company can physically or
reasonably make?
1.1-25 Back to Table of Contents
6. Equations for Business Models
• Costs = Variable Costs + Fixed Costs
– variable cost increase as I make/buy more of
something
• cost of $.5 per phone case made
– fixed costs do not change no matter how much is
made/bought
• rent, utilities, wages [sometimes], loans, ect.
7. Equations for Business Models
• Revenue = Price * Quantity
– this is how much money comes in from sales
– gross reciepts
8. Equations for Business Models
• Profit = Revenue – Cost
• Profit = Revenue – Variable Cost – Fixed Cost
– this is what is left over for the business
– how much was actually made
9. An equation for the total cost, C, in dollars for purchasing L lunch
coolers is .
a. Create a table of points that satisfy this equation.
Use 0, 50, 100, & 150.
1.3-29 Back to Table of Contents
45 3C L
Lunch Coolers Cost
10. An equation for the total cost, C, in dollars for purchasing L lunch
coolers is .
b. Create a graph for the equation using your points. Label your
graph with units.
1.3-2
45 3C L
10 Back to Table of Contents
11. Use the graph to estimate the slope of the line and
determine if the line is increasing or decreasing.
y=x y=-x
11
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12. Use the graph to estimate the slope of the line and
determine if the line is increasing or decreasing.
Determine if it is “steeper” or “flatter”.
y=4x y= ¼ x
12
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13. Use the graph to estimate the slope of the line and
determine if the line is increasing or decreasing.
Determine if it is “steeper” or “flatter”
y=3x y= -⅓x
13
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14. Determine if the points given in the table all lie on a line.
a.
1.3-514 Back to Table of Contents
x y
6 11
10 16
12 18.5
22 31
15. Determine if the points given in the table all lie on a line.
b.
1.3-5
x y
5.4
2 3.4
4 2.8
8 1
3
15 Back to Table of Contents
17. Let be the total cost in dollars to produce p
pizzas a day at a local pizzeria.
a. describe “C”
b. describe 4.5
c. describe “p”
d. describe 1200
1.3-7
4.5 1200C p
17 Back to Table of Contents
18. Let be the total cost in dollars to produce p
pizzas a day at a local pizzeria.
e. Now that you now the Cost what might you ask?
f. How could you model it?
g. What math should you now perform to answer important
questions
1.3-7
4.5 1200C p
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19. Let be the percentage of adults aged 18
years old and over in the United States that have been
diagnosed with diabetes, t years since 2000. Source: CDC.
a. Describe “D”
b. Describe .28
c. Describe “t”
d. Describe 5.95
e. What is the upper limit where the model breaks down
f. what is the lower limit where the model breaks down
1.3-7
0.28 5.95D t
19 Back to Table of Contents
20. Sketch the graph of the following lines. Label the vertical
intercept.
a. b.
1.3-8
3
6
4
y x 2 7y x
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21. Find the intercepts and graph the line
1.4-4
2 3 18x y
21 Back to Table of Contents
22. Sketch the graph of the following lines
a.
1.4-522 Back to Table of Contents
4x
24. A business purchased a production machine in 2005 for $185,000.
For tax purposes, the value of the machine in 2011 was $129,500.
If the business is using straight line depreciation, write the
equation of the line that gives the value of the machine based on
the age of the machine in years.
1.5-224 Back to Table of Contents
25. Using the value of the production machine equation we found
earlier, answer the following:
a. What is the slope of the equation? What does it represent in
regards to the value of the machine?
b. What is the vertical intercept of the equation? What does it
represent in this situation?
1.5-7
9250 185,000v a
25 Back to Table of Contents
26. Using the value of the production machine equation we found
earlier, answer the following:
c. What is the horizontal intercept of the equation? What does it
represent in this situation?
1.5-726 Back to Table of Contents
9250 185,000v a
27. According to www.childtrendsdatabank.org the number of newly
diagnosed AIDS cases for adolescents 13-19 years old in the
United States was 310 in 2000 and 458 in 2003. Assume that the
number of cases is growing at a constant rate, and write an
equation to represent this situation.
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28. Using the AIDS equation found in classroom example 3, answer
the following:
a. What is the slope of the equation? What does it mean in this
situation?
b. What is the vertical intercept for the equation? What does it
represent in this situation?
1.5-828 Back to Table of Contents
49.3 310C t
29. There were 44.1 million major home appliances shipped in the
United States in 2007. In 2009 only 36.7 million were shipped.
Source: Association of Home Appliance Manufacturers.
a. Write an equation for the number of major home appliances
shipped in the US t years since 2000.
b. What is the slope of the equation found in part a? What does it
represent?
1.5-929 Back to Table of Contents
30. There were 44.1 million major home appliances shipped in the
United States in 2007. In 2009 only 36.7 million were shipped.
Source: Association of Home Appliance Manufacturers.
c. What is the vertical intercept for the equation you found in
part a? What does it represent?
1.5-9
3.7 70A t
30 Back to Table of Contents
31. a. Write the equation of the line that passes through the points in
the table.
1.5-5
x y
5 13
7 15.8
15 27
18 31.2
31
32. b. Write the equation of the line shown in the graph.
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35. a. Write the equation of the line that goes through the point
and is perpendicular to the line .
1.5-6
4 23y x( 12,8)
35 Back to Table of Contents
36. b. Write the equation of the line that goes through the point (8,11)
and is parallel to the line .
1.5-6
5 2 30x y
36 Back to Table of Contents
37. Create a scatter plot on your graphing calculator for the
population data for North Carolina given in the table.
Source: Population Division, U.S. Census Bureau
Find an equation for a model of the population of North Carolina
data given earlier.
1.6-1
Year
Population
(millions)
2003 8.41
2004 8.52
2005 8.66
2006 8.85
2007 9.04
2008 9.22
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39. The total revenue for GE is given in the table.
Source: GE 2008 annual report
a. Find an equation for a model of these data.
1.6-3
Year
Revenue
(billions $)
2004 124
2005 136
2006 152
2007 172
2008 183
39 Back to Table of Contents
40. The total revenue for GE is given in the table.
b. Using your model estimate GE’s revenue
in 2010.
c. What is the slope of your model? What does it mean in regards
to GE’s revenue?
d. Determine a reasonable domain and range for the model.
1.6-3
Year Revenue (billions $)
2004 124
2005 136
2006 152
2007 172
2008 183
40
14.75 65R t
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41. Determine whether the following descriptions of relations are
functions or not.
a. The set
b.
c. Weekly salaries during the mth month of the year.
1.7-1
(2,5),(4,8),(10,8),(20,15)A
Day of week Monday Wednesday Saturday Monday
Temperature
degrees
Fahrenheit
90 88 91 93
41 Back to Table of Contents
42. a. Is the equation a function or not?
b. Is the equation a function or not?
1.7-2
7 20y x
2 2
4 16y x
42 Back to Table of Contents
43. c. Does the graph represent a function?
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44. = The height of a toy rocket in feet t second after launch is
given by
H(t) = 100t – 4.9 t2
Interpret the following mathematical statements:
a. H(0)
b. H(4)
c. H(6)
1.7-3
( )H t
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47. Let
Find the following.
c. x such that
1.7-5
2
( ) 7 2 ( ) 1.25 14 ( ) 2 10f x x g x x h x x
( ) 15g x
47 Back to Table of Contents
48. Use the graph to estimate the following.
a.
b. x such that
1.7-6
(2)f
( ) 5f x
48 Back to Table of Contents
49. What is Domain and Range for a Model?
Domain
• the smallest value that is
reasonable is the beginning
of the Domain
– avoid making negative objects
– avoid losing money
• the largest possible value
that is reasonable is the end
of the Domain
– avoid making infinite objects
– avoid making infinite money
• If you are given data, do not
stray to far away
Range
• Enter the smallest value
from the Domain and that
gives you one endpoint of
the Range
• Enter the largest value from
the Domain and that is the
other endpoint of the Range
49
50. !WARNING!
• The Domain and Range of a Line are
DIFFERENT than the Domain and Range of a
Model!
– A Line is a mathematical object without physical
meaning or constraint
– A Model uses a mathematical object to assist in
analysis that has physical meaning and constraints
51. Create a scatterplot of the data given in the table.
The percent of adults aged 20
years and over in the United
States who are considered obese
are given in the table.
Source: CDC 2008 National Health Interview Survey.
1.2-1
Year Percent
2004 24.5
2005 25.4
2006 26.4
2007 26.7
2008 26.8
51 Back to Table of Contents
52. a. Using the scatterplot of the obesity data from before, draw an
“eyeball best fit” line through the data.
1.2-252 Back to Table of Contents
53. 1.2-1
b. Using your eyeball best-fit line, make a prediction for the
percentage of adults in the United States who were considered
obese in 2010.
53 Back to Table of Contents
54. Determine a reasonable domain and range for the graphical
model found for the obesity data.
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55. Use the graph to answer the following questions
a. Estimate the vertical
intercept.
b. Estimate the horizontal
intercept.
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56. Use the graph to answer the following questions
c. Estimate the input value that
makes the output of this
graph equal 3.
d. Estimate the output value of
this graph when the input
value is .
1.2-3
2
56 Back to Table of Contents
57. The percentage of students in twelfth grade who report smoking
daily is given in the table. Source: www.monitoringthefuture.org
a. Create a scatterplot for these data and
draw an “eyeball best fit” line through the
data.
1.2-5
Year Percent
2000 20.6
2001 19.0
2002 16.9
2003 15.8
2004 15.6
2005 13.6
2006 12.2
57
58. Answer: t = years since 2000. P = percent of twelfth grade students
who report smoking daily.
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59. b. Determine the vertical
intercept for this model.
Explain its meaning in this
situation.
c. Find a reasonable domain
and range for this model.
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60. d. According to your graphical
model, what percentage of
twelfth grade students
reported smoking daily in
2007?
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61. Determine the domain and range of the following functions
a.
b.
1.7-7
( ) 3 7f x x
( ) 8g x
61 Back to Table of Contents
62. The population of Wisconsin, in millions, is given in the table.
Source: www.census.gov
Let P(t) be the population of
Wisconsin, in millions,
t years since 2000.
a. Find an equation for a model
of these data. Write your
model in function notation.
b. Determine a reasonable domain and range for your model.
1.7-4
Year
Population
(in millions)
2003 5.47
2004 5.51
2005 5.54
2006 5.57
2007 5.60
2008 5.63
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63. The population of Wisconsin, in millions, is given in the table.
Source: www.census.gov
c. Find P(14) and interpret its
meaning in regard to the
population of Wisconsin.
d. Find when P(t) = 5.75 and interpret its meaning in regard to
the population of Wisconsin.
1.7-4
Year
Population
(in millions)
2003 5.47
2004 5.51
2005 5.54
2006 5.57
2007 5.60
2008 5.63
63
( ) 0.03 5.39P t t
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What is a best-fit? Mathematicians use Least Squares Regression or for lines, Linear Regression.Demonstrate with Calc / Excel.
What is a reasonable domain?Reasonable range?When might the model break down? Hurricane cones and the hockey stickExplain the extrapolate and interpolate.