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This document provides instructions for solving quadratic equations using a Casio FX 991 MS calculator. It explains how to enter the equation mode and input the coefficients of a quadratic equation. An example of solving the equation x2 - 7x + 10 = 0 is provided, with the solutions being x = 5, 2. The document concludes with 10 practice problems to solve for the roots of various quadratic equations, along with the answer key.

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Prova de velocitat emat 2

This document contains two mental math practice tests with 60 problems each. The first test is addition problems with numbers 1-5. The second test is subtraction problems also with numbers 1-10. Both tests instruct the student to solve the problems in 2 minutes.

Tabuada do 2

The document presents the multiplication table for 2, showing the sum of 10 twos equaling 20. It then lists the multiplication problems 1 times 2 through 10 times 2, leaving the answers blank to be filled in. This is repeated below to provide an example multiplication table to work through.

Tabuada 2

The document contains instructions to transform addition problems into multiplication problems. It includes examples of addition problems with 2 being added different numbers of times, and asks the reader to write them as multiplication problems. It also includes a partially filled in multiplication table to complete.

Adding decimalsp5(2)

This document provides a math worksheet with addition problems of decimal numbers. There are 25 addition problems presented without showing the work or steps. The answers to the problems are provided on the second page.

FraccióN Impropia Y NúMero Mixto

This document discusses improper fractions and mixed numbers. It provides 8 examples of fractions in the form of a/b or c/d and asks the reader to identify whether each example represents a true (V) or false (F) statement. The answers provided confirm that examples 1, 3, 6, 7, and 8 represent true statements, while examples 2, 4, and 5 represent false statements.

Math 6 [Division of Integers] ppt Q2 W9

Class Observation in Math 6 on Division of Integers for Grade 6 @ Conalum Elementary School, Inopacan, Leyte

1.2.4

This document contains a practice section on dividing rational numbers from an Algebra Library chapter on pre-algebra concepts. There are 12 practice problems asking the reader to find the quotient of rational numbers in simplest form. Additionally, there is a short section checking the reader's understanding of properties of dividing rational numbers with four conclusions to check.

Distributing equations quiz

This document contains a quiz on distributing property with 8 equations to solve without showing work. It also contains 5 extra credit problems translating sentences to expressions or equations. The quiz allows extra credit to increase the score up to 100%.

Prova de velocitat emat 2

This document contains two mental math practice tests with 60 problems each. The first test is addition problems with numbers 1-5. The second test is subtraction problems also with numbers 1-10. Both tests instruct the student to solve the problems in 2 minutes.

Tabuada do 2

The document presents the multiplication table for 2, showing the sum of 10 twos equaling 20. It then lists the multiplication problems 1 times 2 through 10 times 2, leaving the answers blank to be filled in. This is repeated below to provide an example multiplication table to work through.

Tabuada 2

The document contains instructions to transform addition problems into multiplication problems. It includes examples of addition problems with 2 being added different numbers of times, and asks the reader to write them as multiplication problems. It also includes a partially filled in multiplication table to complete.

Adding decimalsp5(2)

This document provides a math worksheet with addition problems of decimal numbers. There are 25 addition problems presented without showing the work or steps. The answers to the problems are provided on the second page.

FraccióN Impropia Y NúMero Mixto

This document discusses improper fractions and mixed numbers. It provides 8 examples of fractions in the form of a/b or c/d and asks the reader to identify whether each example represents a true (V) or false (F) statement. The answers provided confirm that examples 1, 3, 6, 7, and 8 represent true statements, while examples 2, 4, and 5 represent false statements.

Math 6 [Division of Integers] ppt Q2 W9

Class Observation in Math 6 on Division of Integers for Grade 6 @ Conalum Elementary School, Inopacan, Leyte

1.2.4

This document contains a practice section on dividing rational numbers from an Algebra Library chapter on pre-algebra concepts. There are 12 practice problems asking the reader to find the quotient of rational numbers in simplest form. Additionally, there is a short section checking the reader's understanding of properties of dividing rational numbers with four conclusions to check.

Distributing equations quiz

This document contains a quiz on distributing property with 8 equations to solve without showing work. It also contains 5 extra credit problems translating sentences to expressions or equations. The quiz allows extra credit to increase the score up to 100%.

Adição e-subtração

This document contains a math worksheet with addition and subtraction problems. The student's name and date are listed at the top. Below are 14 problems involving 3 or 4 digit numbers with carrying or regrouping in the additions and no regrouping in the subtractions. The student is being asked to solve the problems.

4 rules-of-fractions1640

This document provides instructions for adding, subtracting, multiplying, and dividing fractions. It explains that to add or subtract fractions, the denominators must be the same. It shows how to change fractions to equivalent fractions with a common denominator to allow addition or subtraction. It also explains how to multiply and divide fractions by multiplying or dividing the numerators and denominators. Examples are provided to demonstrate each process.

0013 chapter vi

This chapter teaches students how to solve quadratic equations using a graphing calculator. It reviews solving quadratics by hand and using a calculator for basic arithmetic. Students will learn to use calculator keys to graph equations and find roots of quadratics using the quadratic formula. The document provides examples of solving quadratics step-by-step on both basic and graphing calculators. It includes a worksheet for students to practice solving 10 quadratic equations using their calculator.

Jefferson bahasa malaysia

The document contains a series of mathematical equations and their solutions, along with two tables - one listing numbers in English and another language, and another listing partial words and their complete translations.

Contas

This document contains math word problems for students to solve. It lists addition, subtraction, and equality problems involving single-digit and double-digit numbers, such as 25 + 32, 14 - 12, 26 = 43, and 5 - 4. The student is asked to solve the problems by writing out the calculations.

Lesson 9 7 dividing integers

This math worksheet provides students with practice dividing integers. It reviews the rules for dividing integers based on the signs of the numbers, and provides 27 practice problems for students to evaluate divisions of integers. The problems cover dividing integers where the signs are the same or different, and evaluating expressions involving division of a variable n by constants.

Matriks kelas 3

The document discusses the calculation of the inverse of a 3x3 matrix. It defines the minor, cofactor, adjoint and determinant of a matrix which are used to calculate the inverse. The inverse of a 3x3 matrix A is calculated as the adjoint of A divided by the determinant of A. An example calculates each component and shows the full inverse of a 3x3 matrix.

1.2.3

This document provides practice problems for multiplying rational numbers. It contains 12 problems asking the student to find the product of rational numbers in simplest form, and 1 problem asking the student to identify which conclusions are valid for an expression representing the product of two rational numbers. The key provides the answers.

Quick tricks

* X alone can do 1/20 of the work in 1 day
* Y alone can do 1/12 of the work in 1 day
* In 4 days, X did 4/20 = 1/5 of the work
* The total work is 1
* So the remaining work is 1 - 1/5 = 4/5
* X and Y's daily work is 1/20 + 1/12 = 5/60
* Equating: 4/5 = (Number of days) * (5/60)
* Number of days = 20
Therefore, the total number of days to complete the work is 20 days.

Fractions

The daily lesson plan outlines a mathematics lesson for year 6 pupils on dividing fractions, with the learning objective being that pupils will learn to divide fractions with a whole number and a fraction. The lesson includes a paper-folding activity, interactive questions to check understanding, and a plenary game where pupils will roll dice to generate division problems and find quotients in groups. The vocabulary, previous knowledge, problem, and learning outcome are also defined.

A2 Chapter 5 Study Guide

This document is an algebra 2 study guide covering various topics involving graphing and solving quadratic functions and equations. It includes:
1) Graphing quadratic functions in standard and vertex form and writing equations between the forms.
2) Solving quadratic equations by factoring, taking square roots, using the quadratic formula, and completing the square.
3) Working with complex numbers including adding, subtracting, multiplying, dividing and finding absolute values.
4) Graphing and solving quadratic inequalities.

Fall Semester Review Part A Alg 1 B

This document contains a review worksheet for algebra with 44 questions covering topics like:
1) Properties of numbers that are divisible by 3 or 5
2) Prime and composite numbers
3) Simplifying expressions with fractions, adding, subtracting, multiplying, and dividing fractions.
4) Working with signed numbers and solving equations using properties of equality.

5-Cm12 développer-factoriser-14-15

This document contains examples of developing and factorizing mathematical expressions. It includes the steps to solve expressions such as 31 × 101, 13 × 102, 70 × 99, 8.2 × 7 + 8.2 × 3, and 51 × 17 - 51 × 7 by factorizing the expressions and using the distributive property. The document demonstrates how to break down expressions into their constituent terms to calculate the solutions.

Taller de conversiones

This document describes a workshop on converting decimal numbers to binary and binary to decimal. It provides 10 examples of converting binary numbers to decimal using the place value method and their calculations. It also provides 10 examples of converting decimal numbers to binary using the division method and their step-by-step calculations. The workshop was presented to technical systems graduate students in September 2014.

Factoring by Gemma Maniago

This document provides materials on factoring polynomials for 8th grade mathematics. It includes an overview explaining that factoring is the reverse of multiplication. It then presents different types of factorizable polynomials like common monomial factors and quadratic trinomials. Several activity and assessment cards are included to guide students in matching factors to products, finding perfect square trinomials, and factoring polynomials. It aims to help students understand and apply the concept of factoring through hands-on practice. Answer keys are also provided for student self-checking. In the end, a scoring guide and reflection questions are given to evaluate learning.

Beautiful Number Patterns

In Mathematics, number patterns are the patterns
in which a list number follows a certain sequence. Generally, the patterns establish the relationship between two numbers. It is also known as the sequence of series in numbers.

4-Cm12 09-10

This document contains a math worksheet on relative numbers with 5 problems: 7-7x2 = -7, -9:5 = -1.8, -98/10 = -9.8, 23/5 = 4.6, and 32:-8 = -4. The document provides the problems, spaces for solutions, and then the corrected answers.

Algebra 2 warm up 11.12.13

1) The document provides examples of solving imaginary number equations and simplifying imaginary number expressions.
2) Imaginary numbers are defined as having i as the square root of -1. They allow taking the square root of negative numbers.
3) To simplify imaginary numbers, like terms are combined, i^2 equals -1, and negatives under square roots are removed before operations are performed.

Unit Two Math Review

This document contains a math review with multiple choice and word problems. It asks students to show their work for problems involving multiplication, finding missing factors, solving word problems, addition, subtraction, rounding, and writing numbers in standard form. There are over 40 questions in total covering topics from the previous two math units.

Multiplicacion segundo grado

The document contains examples of single-digit multiplication problems presented vertically and horizontally. It provides practice for students by showing the multiplication sign and leaving blanks for the answer. The problems include multiplying all single digits from 0 to 9 together in various combinations.

Numeros reales, inecuaciones y desigualdades

En el presente trabajo encontraremos conceptos básicos sobre números reales al igual que ejemplos. También conceptos sobre inecuaciones y desigualdades y sus ejercicios, operaciones con conjuntos

Tarea 1 vectores, matrices y determinantes laura montes

This document summarizes the exercises and solutions for Unit 1 of an algebra linear course. It includes exercises on vectors in 2D and 3D space, including calculating angles between vectors, adding vectors, and taking cross products. Matrix exercises are also presented, such as finding the transpose and inverse of matrices. Determinants are calculated to find the inverse of a matrix. The exercises are to help conceptualize vectors, matrices, and determinants as covered in Unit 1.

Adição e-subtração

This document contains a math worksheet with addition and subtraction problems. The student's name and date are listed at the top. Below are 14 problems involving 3 or 4 digit numbers with carrying or regrouping in the additions and no regrouping in the subtractions. The student is being asked to solve the problems.

4 rules-of-fractions1640

This document provides instructions for adding, subtracting, multiplying, and dividing fractions. It explains that to add or subtract fractions, the denominators must be the same. It shows how to change fractions to equivalent fractions with a common denominator to allow addition or subtraction. It also explains how to multiply and divide fractions by multiplying or dividing the numerators and denominators. Examples are provided to demonstrate each process.

0013 chapter vi

This chapter teaches students how to solve quadratic equations using a graphing calculator. It reviews solving quadratics by hand and using a calculator for basic arithmetic. Students will learn to use calculator keys to graph equations and find roots of quadratics using the quadratic formula. The document provides examples of solving quadratics step-by-step on both basic and graphing calculators. It includes a worksheet for students to practice solving 10 quadratic equations using their calculator.

Jefferson bahasa malaysia

The document contains a series of mathematical equations and their solutions, along with two tables - one listing numbers in English and another language, and another listing partial words and their complete translations.

Contas

This document contains math word problems for students to solve. It lists addition, subtraction, and equality problems involving single-digit and double-digit numbers, such as 25 + 32, 14 - 12, 26 = 43, and 5 - 4. The student is asked to solve the problems by writing out the calculations.

Lesson 9 7 dividing integers

This math worksheet provides students with practice dividing integers. It reviews the rules for dividing integers based on the signs of the numbers, and provides 27 practice problems for students to evaluate divisions of integers. The problems cover dividing integers where the signs are the same or different, and evaluating expressions involving division of a variable n by constants.

Matriks kelas 3

The document discusses the calculation of the inverse of a 3x3 matrix. It defines the minor, cofactor, adjoint and determinant of a matrix which are used to calculate the inverse. The inverse of a 3x3 matrix A is calculated as the adjoint of A divided by the determinant of A. An example calculates each component and shows the full inverse of a 3x3 matrix.

1.2.3

This document provides practice problems for multiplying rational numbers. It contains 12 problems asking the student to find the product of rational numbers in simplest form, and 1 problem asking the student to identify which conclusions are valid for an expression representing the product of two rational numbers. The key provides the answers.

Quick tricks

* X alone can do 1/20 of the work in 1 day
* Y alone can do 1/12 of the work in 1 day
* In 4 days, X did 4/20 = 1/5 of the work
* The total work is 1
* So the remaining work is 1 - 1/5 = 4/5
* X and Y's daily work is 1/20 + 1/12 = 5/60
* Equating: 4/5 = (Number of days) * (5/60)
* Number of days = 20
Therefore, the total number of days to complete the work is 20 days.

Fractions

The daily lesson plan outlines a mathematics lesson for year 6 pupils on dividing fractions, with the learning objective being that pupils will learn to divide fractions with a whole number and a fraction. The lesson includes a paper-folding activity, interactive questions to check understanding, and a plenary game where pupils will roll dice to generate division problems and find quotients in groups. The vocabulary, previous knowledge, problem, and learning outcome are also defined.

A2 Chapter 5 Study Guide

This document is an algebra 2 study guide covering various topics involving graphing and solving quadratic functions and equations. It includes:
1) Graphing quadratic functions in standard and vertex form and writing equations between the forms.
2) Solving quadratic equations by factoring, taking square roots, using the quadratic formula, and completing the square.
3) Working with complex numbers including adding, subtracting, multiplying, dividing and finding absolute values.
4) Graphing and solving quadratic inequalities.

Fall Semester Review Part A Alg 1 B

This document contains a review worksheet for algebra with 44 questions covering topics like:
1) Properties of numbers that are divisible by 3 or 5
2) Prime and composite numbers
3) Simplifying expressions with fractions, adding, subtracting, multiplying, and dividing fractions.
4) Working with signed numbers and solving equations using properties of equality.

5-Cm12 développer-factoriser-14-15

This document contains examples of developing and factorizing mathematical expressions. It includes the steps to solve expressions such as 31 × 101, 13 × 102, 70 × 99, 8.2 × 7 + 8.2 × 3, and 51 × 17 - 51 × 7 by factorizing the expressions and using the distributive property. The document demonstrates how to break down expressions into their constituent terms to calculate the solutions.

Taller de conversiones

This document describes a workshop on converting decimal numbers to binary and binary to decimal. It provides 10 examples of converting binary numbers to decimal using the place value method and their calculations. It also provides 10 examples of converting decimal numbers to binary using the division method and their step-by-step calculations. The workshop was presented to technical systems graduate students in September 2014.

Factoring by Gemma Maniago

This document provides materials on factoring polynomials for 8th grade mathematics. It includes an overview explaining that factoring is the reverse of multiplication. It then presents different types of factorizable polynomials like common monomial factors and quadratic trinomials. Several activity and assessment cards are included to guide students in matching factors to products, finding perfect square trinomials, and factoring polynomials. It aims to help students understand and apply the concept of factoring through hands-on practice. Answer keys are also provided for student self-checking. In the end, a scoring guide and reflection questions are given to evaluate learning.

Beautiful Number Patterns

In Mathematics, number patterns are the patterns
in which a list number follows a certain sequence. Generally, the patterns establish the relationship between two numbers. It is also known as the sequence of series in numbers.

4-Cm12 09-10

This document contains a math worksheet on relative numbers with 5 problems: 7-7x2 = -7, -9:5 = -1.8, -98/10 = -9.8, 23/5 = 4.6, and 32:-8 = -4. The document provides the problems, spaces for solutions, and then the corrected answers.

Algebra 2 warm up 11.12.13

1) The document provides examples of solving imaginary number equations and simplifying imaginary number expressions.
2) Imaginary numbers are defined as having i as the square root of -1. They allow taking the square root of negative numbers.
3) To simplify imaginary numbers, like terms are combined, i^2 equals -1, and negatives under square roots are removed before operations are performed.

Unit Two Math Review

This document contains a math review with multiple choice and word problems. It asks students to show their work for problems involving multiplication, finding missing factors, solving word problems, addition, subtraction, rounding, and writing numbers in standard form. There are over 40 questions in total covering topics from the previous two math units.

Multiplicacion segundo grado

The document contains examples of single-digit multiplication problems presented vertically and horizontally. It provides practice for students by showing the multiplication sign and leaving blanks for the answer. The problems include multiplying all single digits from 0 to 9 together in various combinations.

Adição e-subtração

Adição e-subtração

4 rules-of-fractions1640

4 rules-of-fractions1640

0013 chapter vi

0013 chapter vi

Jefferson bahasa malaysia

Jefferson bahasa malaysia

Contas

Contas

Lesson 9 7 dividing integers

Lesson 9 7 dividing integers

Matriks kelas 3

Matriks kelas 3

1.2.3

1.2.3

Quick tricks

Quick tricks

Fractions

Fractions

A2 Chapter 5 Study Guide

A2 Chapter 5 Study Guide

Fall Semester Review Part A Alg 1 B

Fall Semester Review Part A Alg 1 B

5-Cm12 développer-factoriser-14-15

5-Cm12 développer-factoriser-14-15

Taller de conversiones

Taller de conversiones

Factoring by Gemma Maniago

Factoring by Gemma Maniago

Beautiful Number Patterns

Beautiful Number Patterns

4-Cm12 09-10

4-Cm12 09-10

Algebra 2 warm up 11.12.13

Algebra 2 warm up 11.12.13

Unit Two Math Review

Unit Two Math Review

Multiplicacion segundo grado

Multiplicacion segundo grado

Numeros reales, inecuaciones y desigualdades

En el presente trabajo encontraremos conceptos básicos sobre números reales al igual que ejemplos. También conceptos sobre inecuaciones y desigualdades y sus ejercicios, operaciones con conjuntos

Tarea 1 vectores, matrices y determinantes laura montes

This document summarizes the exercises and solutions for Unit 1 of an algebra linear course. It includes exercises on vectors in 2D and 3D space, including calculating angles between vectors, adding vectors, and taking cross products. Matrix exercises are also presented, such as finding the transpose and inverse of matrices. Determinants are calculated to find the inverse of a matrix. The exercises are to help conceptualize vectors, matrices, and determinants as covered in Unit 1.

Unit 3 lesson 6 diving decimals

1. The document provides steps for dividing decimals by decimals. It includes moving the decimal in the divisor to make it a whole number, moving the decimal in the dividend the same number of places, and bringing up the decimal to the quotient.
2. There are examples of dividing decimals with values such as 9.0 ÷ 0.9, 29.6 ÷ 3.7, and 10.81 ÷ 2.3.
3. Questions are asked such as how many weeks it will take Anna to save $6.35 per week to buy a $57.15 game, and how long it took Ben to run a 19.5 mile race at 7.8 miles per hour.

[This sheet must be completed and attached to the last page of.docx

[This sheet must be completed and attached to the last page of your homework]
ISE 421
Operations Research II
Term 161
Homework #1
Student Name ID# Signature
Homework Guidelines
To receive full credit, you should make sure you follow the following guidelines.
Homework Presentation:
• Every main problem should be answered on a different page.
• You should submit the solutions for the first two problems only.
• All pages of your homework should be in chronological order.
• Your name, and the homework number should be clearly indicated.
Modeling Questions:
• Clearly define all the variables in one group. Then clearly define all the parameters in another group. Then display
the final model in the standard style (Objective, Constraints, Restriction on Domain). You can use ABCD, and
EVER OLD CARD mnemonic if desired.
ISE-421 HW-1
Problem #1
Suppose that the decision variables of a mathematical programming model are defined as:
xi,j,t := acers of land plot i allocated to crop j in year t
Ct := the funds in SAR donated by the governament at the begining of year t
Rj,t := the revenue generated from crop j in $ at the end of year t
where i = 1, . . . , 47; j = 1, . . . , 9; t = 1, . . . , 10.
Use summation (
∑
) and enumeration (∀) indexed notation to write expressions for each of
the following systems of constraints in terms of these decision variables, and determine how many
constraints belong to each system. You need to define additional variables to model the following
constraints. Assume $1 = 3.75SAR. In addition assume appropriate information wherever neces-
sary.
(a) The acres allocated in each plot i cannot exceed the available acreage (call it Ai) in any year.
(b) At least 1000 total acres must be devoted to corn (corp j = 4) in each year.
(c) At least one-third of the total acreage planted over 10 years must be in soybeans (corp j = 2).
(d) Either rice (corp j = 9) or wheat (corp j = 8) should be planted in a given year.
(e) Grapes (corp j = 7) should be planted in a year, when the current funds from the government
and the total revenue from the previous year is greater than or equal to 38000 SAR.
(f) In the odd years (t = 1, 3, . . . , 9) land plot 32 is unusable.
(g) On the same land plot, there should be at least a two years of difference between corn and rice
crops plantation.
(h) If soybeans are planted in a land plot, then no other crops should be planted on the same land
plot.
(i) Every plot must be used for planting in a given year.
(j) In every year, there should be at least 7 different crops.
1
ISE-421 HW-1
Problem #2
Consider the following IP problem.
maximize :
14 ∗ x1 + 22 ∗ x2 + 12 ∗ x3 + 10 ∗ x4
subject to :
50 ∗ x1 + 70 ∗ x2 + 40 ∗ x3 + 30 ∗ x4 ≤ 100
10 ∗ x1 + 60 ∗ x2 + 50 ∗ x3 + 60 ∗ x4 ≤ 80
6 ∗ x1 + 1 ∗ x2 + 3 ∗ x3 + 7 ∗ x4 ≤ 9
xi ∈ {0, 1} ∀ i = 1, . . . , 4
(a) Write the LP relaxation of the above model.
(b) Get the optimal objective function value of the LP relaxation from Tabl.

Factoring the Difference of Two Squares Worksheet

This mathematics worksheet provides 20 practice problems for factoring the difference of two squares using the identity x^2 - y^2 = (x + y)(x - y). The worksheet includes the factorizations of algebraic expressions involving variables like x, y, a, b, c, d, e, m, n, p, and q. It also provides the student's name, grade/section, date, and score at the top for identification and grading purposes.

Overview Of Using Calculator

The document provides information on the various functions and modes of the Casio calculator that are useful for Project Maths exams, including:
1) Functions such as BIMDAS, memory, prime factors, conversions between decimal, fraction and recurring decimal forms, and statistical and regression calculations.
2) Modes like setup, table, statistics and verify modes which allow configuration of display settings, generation of tables, and statistical analysis.
3) Information on navigating menus and accessing alternate functions by using keys with labels in different colors.

ASSESSMENT M105 (1).pdf

This document contains an activity sheet for a Calculus with Analytic Geometry course. It includes multiple problems involving graphing points and lines, finding distances, slopes, equations of circles, parabolas, and hyperbolas, as well as limits, functions, continuity, and differentiation. The activity sheet provides spaces for students to show their work and solutions.

4.1 matrices

The document discusses properties of matrix addition and scalar multiplication. It explains that to add matrices, we add corresponding elements and the matrices must have the same dimensions. Scalar multiplication involves multiplying each element of the matrix by the scalar. Some key properties covered are:
- To add matrices, we add corresponding elements and matrices must have the same dimensions.
- Scalar multiplication involves multiplying each element of the matrix by the scalar.
- Properties of addition like commutativity and distributivity apply, but multiplication is not included.

Raices de un polinomio 11

This document provides examples of factorizing polynomials by:
1. Finding the roots of polynomials using the quadratic formula.
2. Factoring polynomials using the difference of squares and perfect square trinomial identities.
3. Factoring polynomials into irreducible factors.
The document contains several examples of factorizing polynomials of varying degrees up to degree 5. The examples illustrate the process of finding the roots and then factorizing the polynomials based on those roots.

ملزمة الرياضيات للصف السادس الاحيائي الفصل الاول

طبعة جديدة ومنقحة
حل تمارين الكتاب
شرح المواضيع الرياضية بالتفصيل وبأسلوب واضح ومفهوم لجميع المستويات
حلول الاسألة الوزارية
اعداد الدكتور أنس ذياب خلف
email: anasdhyiab@gmail.com

Arithmetic sequence G10.pptx

This document defines arithmetic sequences and provides examples. It explains that an arithmetic sequence is a series of numbers where the difference between consecutive terms is constant. It gives the formula for finding the nth term (an) of a sequence given the first term (a1) and common difference (d). Several examples are worked out applying this formula to find specific terms of arithmetic sequences. The objectives are to define arithmetic sequences, find the common difference and nth term given the first few terms.

Task compilation - Differential Equation II

The document contains solutions to differential equation problems. It solves 5 problems involving determining characteristic equations and solutions for differential equations of varying orders. The solutions involve finding real or complex eigenvalues and expressing the solutions as combinations of exponential and trigonometric functions with arbitrary constants.

ملزمة الرياضيات للصف السادس التطبيقي الفصل الاول الاعداد المركبة 2022

طبعة جديدة ومنقحة
حل تمارين الكتاب
شرح المواضيع الرياضية بالتفصيل وبأسلوب واضح ومفهوم لجميع المستويات
حلول الاسألة الوزارية
اعداد الدكتور أنس ذياب خلف
email: anasdhyiab@gmail.com

Q1-Quiz 1 - Special Product (Set A).docx

quiz for special product

[Q1~12]Aclothingstoreisconsideringtwomethodstoreducetheselosses1).docx

[Q1~12]Aclothingstoreisconsideringtwomethodstoreducetheselosses:1)tohireasecurityguardvs.2)toinstallcameras.Aftercollectingdatafor5-monthperiodeachrespectively,themonthlylosses(in100)wererecordedinthetable.Themanagerwouldinstallthecamerasonlyiftherewasenoughevidencethattheguardwasbetter.
̅ s2 n
Guard (x1)
27
20
32
23
38
Cameras (x2)
48
31
29
38
44
)
2
a) Compute the average, variance in the above table. (Show ( − ̅ calculation!)
b) Test whether you use equal variance or not.
(b-1) Setup hypotheses.
(b-2) F-stat =
(b-3) Fcrit region:
(b-4) Conclusion:
Assumetheequal-variancet-statisticfortheabovetwopopulations
c) T-test about μ1 – μ2.
(c-1) Setup hypotheses.
Conclusion must include
- Whether you can reject H0 or not - Explain in the problem context.
(c-2) Compute SD & d.f. d.f. =
1 1
1 2
+ ?
( )
��
SD= ? ?𝑛 𝑛 (c-3) t-stat = � = �
(c-4) rejection region:
(c-5) Conclusion:
Becausehiringtheguardismoreexpensive,themanagerrequiresthatthereducinglosses(in100)whenhiringtheguardmustbeatleast2
d) 2nd t-test
(d-1) Setup hypotheses. H1
)
��
(d-2) t-stat = � = �
(d-3) Conclusion: Since t-stat
1 2
(BA 2606 MID-2) 2
[Q13~19]Hopingtoimprovesales,onecompanydecidedtointroducemoreattractivepackaging.Totesttheeffectonsales,themanagerdistributesthenewdesigntoSupermarket1(MKT1),whilesendingtheolddesigntoSupermarket2(MKT2).Thebarcodedatawerereceivedafteracertainperiod.Thecodeforthisproductwas9077inbothsupermarkets.Sincethecostfornewpackageismoreexpensive,themanagerwantstoknowtheeffectivenessofthisnewdesign.Thecollecteddataforthetotaltransactions(n)andthenumberof9077(x)isasfollows:
a) Set up the alternative hypothesis.
b) Fill up the table. (Use 3 decimal point calculation.) What is the pooled proportion for (p1 – p2)?
1 1
+ ?
c) Compute the standard error for (p1 – p2). ? ?𝑛 𝑛
d) What distribution does (p1 – p2) follow?
MKT1 MKT2 Total n 904 1038
x 180 155 p
)
Why not t-distribution? .
𝒑
−𝒑
?
𝟏 𝟏
e) Compute z-statistic: ( ? 𝑺𝑫
f) What is zcrit at α = 0.05? Explain where you get the number. P(Z
g) Conclusion: Since
Becausethenewdesignismoreexpensive,themanagementrequiresthenewdesignoutsellstheoldonebyatleast2%.Inthisassumption,pleaseanswerforthefollowingquestions.
? ?
1 1
𝑛
?
h) Compute the standard error for (p1 – p2). ? ?𝑝(1−𝑝) 1
?
?
)
� − 𝑝
𝟏 𝟏 2
𝑺𝑫
i) Compute z-statistic: ( �−𝒑 ( 1−𝑝)
Speeds(km/h)
20
30
40
50
60
ABS(x1)
36
48
60
67
70
non-ABS(x2)
34
51
64
69
73
d = x1 – x2
[Q22~27]TofindtheeffectivenessofABS,acarbuyerorganizedanexperiment.HehitthebrakesatsomespeedandrecordedthetimetostopanABS-equippedcarandanotheridenticalcarwithoutABS.Thespeedsandthetime(in0.1seconds)tostopondrypavementarelistedhere.CanweinferthatABSisbetter(thatis,thestoppingtimeisshorter)with95%confidence?
a) What kind of comparison is this question about?
b) Set up the alternative hypothesis, using d = x1 – x2.
c) Compute d in the table and the average and standard deviation

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2. One exercise involves solving the differential equation y'' + 9y = 0, which has general solution y(x) = c1sin3x + c2cos3x.
3. Another exercise involves solving the non-homogeneous differential equation y'' + y' = 2e^2x/csc3x, yielding the general solution y(x) = c1 + c2e^-x + (1/5)e^2x(sinx - cosx).

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...............................

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إضغ بين إيديكم من أقوى الملازم التي صممتها
ملزمة تشريح الجهاز الهيكلي (نظري 3)
💀💀💀💀💀💀💀💀💀💀
تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
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𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐈𝐂𝐓 𝐢𝐧 𝐞𝐝𝐮𝐜𝐚𝐭𝐢𝐨𝐧:
Students will be able to explain the role and impact of Information and Communication Technology (ICT) in education. They will understand how ICT tools, such as computers, the internet, and educational software, enhance learning and teaching processes. By exploring various ICT applications, students will recognize how these technologies facilitate access to information, improve communication, support collaboration, and enable personalized learning experiences.
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐫𝐞𝐥𝐢𝐚𝐛𝐥𝐞 𝐬𝐨𝐮𝐫𝐜𝐞𝐬 𝐨𝐧 𝐭𝐡𝐞 𝐢𝐧𝐭𝐞𝐫𝐧𝐞𝐭:
-Students will be able to discuss what constitutes reliable sources on the internet. They will learn to identify key characteristics of trustworthy information, such as credibility, accuracy, and authority. By examining different types of online sources, students will develop skills to evaluate the reliability of websites and content, ensuring they can distinguish between reputable information and misinformation.

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- 1. Name:___________________________________________________Grade & Section:_______________ SOLVING QUADRATIC EQUATIONS Casio FX 991 MS Calculator Instruction: *Press Mode when you want to solve equation. EQN ………….…………………………… *Entering EQN Mode and pressing displays the initial quadratic equation screen *Press 2 for quadratic equation and input values for each of the coefficient. *You can use the and keys to move between coefficients on the screen and make changes, if you want. *Pressing the key returns to the coefficient input screen. Example: To solve the equation 푥2 − 7푥 + 10 = 0 (푥 = 5, 2 ) (Degree?) 2 (푎? ) 1 (푏? ) 7 (푐? ) 10 (푥1 = 5) (푥2 = 2) Find the roots of the following equations. 1.) 3푥2 − 10푥 − 8 = 0 푥 = ____________ 2.) 3푥2 + 13푥 − 10 = 0 푥 = ____________ 3.) 푥2 + 2푥 − 15 = 0 푥 = ____________ 4.) 푢2 − 4푢 − 12 = 0 푢 = ____________ 5.) 6푥2 − 푥 − 12 = 0 푥 = ____________ 6.) 2푦2 − 7푦 + 13 = 0 푦 = ____________ 7.) 3푎2 − 6 = 17푎 푎 = ____________ 8.) −20푥 − 3 = 25푥2 푥 = ____________ 9.) 2푥2 + 푥 = 6 푥 = ____________ 10.) 36푎2 + 9푎 = 10 푥 = ____________ Prepared By: Caryl Mae S. Puertollano
- 2. ANSWER KEY Find the roots of the following equations. 1.) 3푥2 − 10푥 − 8 = 0 푥 = − 2 3 , 4 2.) 3푥2 + 13푥 − 10 = 0 푥 = 2 3 , -5 3.) 푥2 + 2푥 − 15 = 0 푥 = -5 , 3 4.) 푢2 − 4푢 − 12 = 0 푢 = 6, -2 5.) 6푥2 − 푥 − 12 = 0 푥 = − 4 3 , 3 2 6.) 2푦2 − 7푦 + 3 = 0 푦 = 1 2 , 3 7.) 3푎2 − 6 = 17푎 푎 = − 1 3 , 6 8.) −20푥 − 3 = 25푥2 푥 = − 3 5 , − 1 5 9.) 2푥2 + 푥 = 6 푥 = 3 2 , -2 10.) 36푎2 + 9푎 = 10 푎 = − 2 3 , 5 12