Quadratic Lesson 5feb12
•
0 likes•153 views
The document provides instructions to multiply out several quadratic expressions, including (x+1)2, (x+2)2, (x+3)2, (x-1)2, (x-2)2, (x-3)2. It then gives examples of converting quadratic equations into the standard form of y = ax2 + bx + c, including converting y = x2 + 4x - 5, y = 3x2 - 12x + 16, and y = -2x2 - 5x + 3. It concludes by stating it is now time for Exercise 5.
Report
Share
Report
Share
Download to read offline
Recommended
5-Cm13 développer-factoriser-14-15
This document contains 5 math problems involving multiplication and distribution. The first 3 problems ask the student to calculate expressions like 23 × 102, 15 × 98, and 12 × 99. The next problem asks the student to calculate 23 × 8.5 + 23 × 1.5. The final problem is 4.25 × 12 - 4.25 × 2. The second half of the document shows the step-by-step workings and solutions to each of the 5 problems.
Alg2 lesson 9-6
The document provides examples of solving equations by finding the lowest common denominator (LCD). The first example finds the LCD of 12 and solves the equation 5x/12 + 2/3 = 4/4 to get x = -3. The second example uses the restriction that p = 1, -1 and solves the equation (p^2 - 1)/(p^2 - 1) = (p - 1)/(p^2 - 1) . The third example uses the restrictions that x = 1, -1.
Algebra 6 Point 8
This document provides instructions on how to multiply a polynomial by a monomial. It explains that to multiply terms like 3x(4x - 1), you distribute the monomial by multiplying it by each term in the polynomial. This results in 12x^2 - 3x. It then gives the example of multiplying (3y^2 - y + 6)(-2y^2), and provides more practice problems to solve involving multiplying polynomials by monomials. It directs the reader to page 227 of their materials to complete problems 1 through 9.
Document1
This document provides equations and calculations for determining the distance between two points. It defines a position vector QP pointing from point P to point Q, and a velocity vector V. It then shows the calculations for the magnitude of QP, the dot product of QP and V, and the distance between points P and V using these vectors. The distance is determined to be 28 based on the given vector components and equations.
Consider the following polynomials
The document summarizes the solution steps to find the sum of all coefficients of the polynomial A(x) + B(x) + 2C(x). It shows that the coefficients can be obtained by evaluating the polynomial at x=1. It rearranges the terms of each polynomial by degree and adds them. The sum of all coefficients is found to be 28.
MATHS
This document provides methods for calculating the square of various types of numbers:
1) For numbers ending in 5, add 1 to the digit before 5 and multiply it by that digit. Then write 25 after it (e.g. 225 for 15x15).
2) For numbers with all the same digit, write the digits in ascending then descending order (e.g. 12321 for 111x111).
3) For two-digit numbers starting with 5, take the square of the first digit and second digit separately and concatenate them (e.g. 2704 for 52x52).
4) For two-digit numbers starting with 9, subtract from 100, take the square of
MATH: QUIZ EQUALITIES
1) Solve 12 equations for the variable x. The equations range in difficulty from simple addition/subtraction to more complex expressions involving multiplication, division, fractions, and parentheses.
2) The quiz is testing the ability to isolate and solve for the variable x in different types of mathematical equations of varying complexity.
7th pre alg -l55
The document provides details for a math lesson. It includes assignments that are due on Monday and Tuesday of the following week. The lesson warm-up contains 5 math problems simplifying expressions and solving equations. The lesson introduces nets and the surface area formula for cylinders. It provides examples of calculating surface areas of cylinders.
Recommended
5-Cm13 développer-factoriser-14-15
This document contains 5 math problems involving multiplication and distribution. The first 3 problems ask the student to calculate expressions like 23 × 102, 15 × 98, and 12 × 99. The next problem asks the student to calculate 23 × 8.5 + 23 × 1.5. The final problem is 4.25 × 12 - 4.25 × 2. The second half of the document shows the step-by-step workings and solutions to each of the 5 problems.
Alg2 lesson 9-6
The document provides examples of solving equations by finding the lowest common denominator (LCD). The first example finds the LCD of 12 and solves the equation 5x/12 + 2/3 = 4/4 to get x = -3. The second example uses the restriction that p = 1, -1 and solves the equation (p^2 - 1)/(p^2 - 1) = (p - 1)/(p^2 - 1) . The third example uses the restrictions that x = 1, -1.
Algebra 6 Point 8
This document provides instructions on how to multiply a polynomial by a monomial. It explains that to multiply terms like 3x(4x - 1), you distribute the monomial by multiplying it by each term in the polynomial. This results in 12x^2 - 3x. It then gives the example of multiplying (3y^2 - y + 6)(-2y^2), and provides more practice problems to solve involving multiplying polynomials by monomials. It directs the reader to page 227 of their materials to complete problems 1 through 9.
Document1
This document provides equations and calculations for determining the distance between two points. It defines a position vector QP pointing from point P to point Q, and a velocity vector V. It then shows the calculations for the magnitude of QP, the dot product of QP and V, and the distance between points P and V using these vectors. The distance is determined to be 28 based on the given vector components and equations.
Consider the following polynomials
The document summarizes the solution steps to find the sum of all coefficients of the polynomial A(x) + B(x) + 2C(x). It shows that the coefficients can be obtained by evaluating the polynomial at x=1. It rearranges the terms of each polynomial by degree and adds them. The sum of all coefficients is found to be 28.
MATHS
This document provides methods for calculating the square of various types of numbers:
1) For numbers ending in 5, add 1 to the digit before 5 and multiply it by that digit. Then write 25 after it (e.g. 225 for 15x15).
2) For numbers with all the same digit, write the digits in ascending then descending order (e.g. 12321 for 111x111).
3) For two-digit numbers starting with 5, take the square of the first digit and second digit separately and concatenate them (e.g. 2704 for 52x52).
4) For two-digit numbers starting with 9, subtract from 100, take the square of
MATH: QUIZ EQUALITIES
1) Solve 12 equations for the variable x. The equations range in difficulty from simple addition/subtraction to more complex expressions involving multiplication, division, fractions, and parentheses.
2) The quiz is testing the ability to isolate and solve for the variable x in different types of mathematical equations of varying complexity.
7th pre alg -l55
The document provides details for a math lesson. It includes assignments that are due on Monday and Tuesday of the following week. The lesson warm-up contains 5 math problems simplifying expressions and solving equations. The lesson introduces nets and the surface area formula for cylinders. It provides examples of calculating surface areas of cylinders.
March 1
This document provides instructions on factoring polynomials and using the zero product property to solve equations. It includes examples of factoring quadratic, cubic, and quartic polynomials as well as solving equations by factoring. Steps are outlined for solving equations using the zero product property to set factors equal to zero and find the solution set. Examples demonstrate factoring polynomials and solving equations by factoring and applying the zero product property.
одземање на броевите до 20 со премин 12 3
The document shows step-by-step working to solve the mathematical expression 12-3. It first separates 12-3 into 12-2-1, then evaluates that as 10-1 which equals 9. Therefore, the final expression 12-3 equals 9.
Bussiness accounting assignment#2
Company 1: In 2013, Coolgardie's return on assets decreased to 15.42% from 23.78% in 2012 due to a drop in profit and increased assets. The net profit margin also decreased from 19.83% to 13.92% as expenses increased more than revenue.
Company 2: In 2010, Billie's Bakery had higher liquidity and profitability ratios compared to 2009. The debt to equity ratio was lower in 2010 at 0.39 compared to 0.41 in 2009.
NSW Ltd and QLD Ltd: In the current year, NSW Ltd had higher returns and shorter days for inventory and debtors compared to QLD Ltd, while their current and liquid
Theorem 4 of basic fundamental of integral
This document summarizes the key theorems of integral calculus taught in a lesson. It outlines 4 theorems:
1) The integral of any variable dx is x + C
2) The integral of a constant times a variable is that constant times the variable + C
3) The integral of a variable raised to a constant power n is that variable raised to n+1 over n+1 + C, when n does not equal -1
4) The integral of 1 over any variable or a variable raised to a negative constant power is the natural log of the absolute value of that variable + C
It provides examples for each theorem and has sections on reviewing the lesson, introducing a concept with a "magic
Subtracting polynomials
To subtract polynomials, you keep the sign of the first term, change subtraction to addition, and flip the sign of the second term. You then apply this process to every term in the polynomials. The document provides an example rule, two practice problems to try, and the answers to check your work.
5-Cm11 développer-factoriser-14-15
This document contains step-by-step workings and solutions for factorizing and developing several mathematical expressions. It shows the factorizations of 14 × 101, 25 × 102, and 60 × 99. It also shows the developments of the expressions 9.4 × 2 + 9.4 × 8 and 37 × 18 - 37 × 8. The document provides the full calculations and solutions to these examples.
Increasing decreasing functions
The document discusses increasing and decreasing functions. It defines an increasing function as one where the gradient (dy/dx) is always positive, and a decreasing function as one where the gradient is always negative. To determine if a function is increasing or decreasing, you find where the derivative (dy/dx) is equal to 0 to find critical points, and use a nature table to analyze the sign of the derivative on each interval. The derivative also needs to be analyzed to determine if a function is always increasing or decreasing.
Battleship a
The document describes a battleship game where students work in partnerships to solve math problems, write their answers on a dry erase board without showing other teams, and get a chance to shoot at the other team's battleships if correct. The goal is for even-numbered teams to sink odd-numbered teams' battleships and vice versa, earning points for each sunk ship.
Examen de matematicas TERCERO
This document appears to be a math exam with the following questions and operations: multiplication problems involving place value (13 x 10, 24 x 100, 54 x 1000), a multiplication word problem (5679 x 4), an addition problem (3456 + 956 = 4562), a subtraction problem (5675 - 898 = 4777), and a section asking to complete boxes applying the commutative property to addition expressions like (6 + 4) + 5 and 6 + (4 + 5). The document provides the student's name, course, questions, and the teacher's name.
Solving Equations And Equality
This document provides 7 examples of solving different types of equations. The equations include addition, subtraction, multiplication, division, inequality, and combining operations. Each step is shown to solve for the variable. The solutions are X=7, a=-27, x=18, y<16, Y=126, c=38, and X<49.
Comuter graphics dda algorithm
DDA algorithm examples, solved examples, computer graphics, pixel calculation, line drawing algorithm, line drawing solved, 2D line drawing calculation, extra examples on DDA algorithm, Hearn and Baker book on computer graphics
1st period exam review(w)
This document contains an answer key for a period exam reviewing quadratic equations, factoring polynomials, and solving quadratic equations. The answer key provides the factored form or solutions for 44 different quadratic equations or polynomials. The equations range in complexity from simple factoring like (x+1)(3x-5) to solving quadratics with irrational solutions like x = (-2 ± √14) /2.
Quinary multiplication
This document provides examples of multiplication in quinary, a base-5 numeral system. Example 21 shows the step-by-step working of 324 x 34. Each digit is multiplied individually and carried to the next column. The final answer is 1,022,311. Example 22 shows a longer multiplication problem of 2,440,3 x 4,232, with the final answer being 10,431,114,212,101.
Textbook problems worked out
These slides show some of the more difficult problems from the text worked out in detail with all the steps included. The text leaves out many key steps
Tugas 1 kalkulus
This document contains a student's assignments on calculus integration problems. It includes the student's name, student ID number, and major, followed by 7 integration problems with solutions. The problems involve integrating polynomials, rational functions, and finding integrals using u-substitution. The solutions provide the integrated functions and constants of integration.
Diamond and box factoring student version
The document explains and provides examples of how to factor quadratic expressions using the "x-box" method. This method involves drawing an x-box with the coefficients of the expression and identifying the greatest common factor and two binomial factors that multiply to the original expression. Three examples are provided and worked through step-by-step to demonstrate how to set up and solve factoring problems using the x-box method.
Important formulas for JEE Main 2020 - Subject-wise List
This document provides important formulas for the JEE Main 2020 exam across various subjects - mathematics, physics, and chemistry. In mathematics, formulas are provided for topics like roots of unity, complex numbers, trigonometry, quadratic equations, and vectors. In physics, formulas cover topics such as electricity, magnetism, motion, gravitation, work, and friction. Formulas in chemistry include those for temperature conversion, molarity, molecular mass, atomic structure, gas laws, thermodynamics, and electrochemistry. Mastering these essential formulas can help JEE aspirants save time during the exam, better prepare, and reduce mistakes.
Topic19
The document provides examples of how to solve multiplication problems without using pen and paper by rearranging the terms. It shows that (45 × 92) +(45 × 8) is the same as 45 x (92 + 8) which equals 4500. It also works through (225 × 98) + (225 × 2) which equals 22500 by treating it as 225 x 100. The final example is (132 × 7) + (132 × 993) and instructs the reader to work it out in their notebook.
How to factor
This document provides steps for factoring a quadratic equation of the form ax^2 + bx + c. It uses the example equation 2x^2 + 15x + 18. The steps are: 1) Identify the coefficients a, b, c. 2) Multiply a and c and add to b to find the first two terms' common factor. 3) Group the terms and factorize the equation into the form (ax + b)(cx + d). The example is factorized as (1x+6)(2x+3).
Problema 1
This document discusses solving polynomials using various numerical approximation methods and finding real roots. It provides examples of:
1) Finding the real roots of a cubic polynomial using numerical methods and comparing to the exact solution;
2) Approximating roots of a polynomial using the bisection method and comparing approximations to exact solutions;
3) Finding possible real roots of a quartic polynomial and approximating them using the bisection method.
Mar2 09 House Insurance
The document discusses the key factors that determine the cost of homeowners insurance. It lists five main factors: 1) replacement cost of buildings, contents, and liability coverage, 2) location and proximity to fire services, 3) type of coverage (comprehensive or standard), 4) deductible amount, and 5) available discounts for claims history, security systems, and age. It then provides examples of calculating insurance premiums for different policy scenarios.
Lesson 8 Nov 27 09
The document discusses linear approximation and finding zeros using Newton's method. It provides the formula for calculating the equation of the tangent line near a given point using the value and derivative of the function at that point. As an example, it calculates the tangent line approximation of the function y = -4x^2 + 6x + 9 near x = 2. It also gives the general formula for performing one iteration of Newton's method to find zeros of a function.
More Related Content
What's hot
March 1
This document provides instructions on factoring polynomials and using the zero product property to solve equations. It includes examples of factoring quadratic, cubic, and quartic polynomials as well as solving equations by factoring. Steps are outlined for solving equations using the zero product property to set factors equal to zero and find the solution set. Examples demonstrate factoring polynomials and solving equations by factoring and applying the zero product property.
одземање на броевите до 20 со премин 12 3
The document shows step-by-step working to solve the mathematical expression 12-3. It first separates 12-3 into 12-2-1, then evaluates that as 10-1 which equals 9. Therefore, the final expression 12-3 equals 9.
Bussiness accounting assignment#2
Company 1: In 2013, Coolgardie's return on assets decreased to 15.42% from 23.78% in 2012 due to a drop in profit and increased assets. The net profit margin also decreased from 19.83% to 13.92% as expenses increased more than revenue.
Company 2: In 2010, Billie's Bakery had higher liquidity and profitability ratios compared to 2009. The debt to equity ratio was lower in 2010 at 0.39 compared to 0.41 in 2009.
NSW Ltd and QLD Ltd: In the current year, NSW Ltd had higher returns and shorter days for inventory and debtors compared to QLD Ltd, while their current and liquid
Theorem 4 of basic fundamental of integral
This document summarizes the key theorems of integral calculus taught in a lesson. It outlines 4 theorems:
1) The integral of any variable dx is x + C
2) The integral of a constant times a variable is that constant times the variable + C
3) The integral of a variable raised to a constant power n is that variable raised to n+1 over n+1 + C, when n does not equal -1
4) The integral of 1 over any variable or a variable raised to a negative constant power is the natural log of the absolute value of that variable + C
It provides examples for each theorem and has sections on reviewing the lesson, introducing a concept with a "magic
Subtracting polynomials
To subtract polynomials, you keep the sign of the first term, change subtraction to addition, and flip the sign of the second term. You then apply this process to every term in the polynomials. The document provides an example rule, two practice problems to try, and the answers to check your work.
5-Cm11 développer-factoriser-14-15
This document contains step-by-step workings and solutions for factorizing and developing several mathematical expressions. It shows the factorizations of 14 × 101, 25 × 102, and 60 × 99. It also shows the developments of the expressions 9.4 × 2 + 9.4 × 8 and 37 × 18 - 37 × 8. The document provides the full calculations and solutions to these examples.
Increasing decreasing functions
The document discusses increasing and decreasing functions. It defines an increasing function as one where the gradient (dy/dx) is always positive, and a decreasing function as one where the gradient is always negative. To determine if a function is increasing or decreasing, you find where the derivative (dy/dx) is equal to 0 to find critical points, and use a nature table to analyze the sign of the derivative on each interval. The derivative also needs to be analyzed to determine if a function is always increasing or decreasing.
Battleship a
The document describes a battleship game where students work in partnerships to solve math problems, write their answers on a dry erase board without showing other teams, and get a chance to shoot at the other team's battleships if correct. The goal is for even-numbered teams to sink odd-numbered teams' battleships and vice versa, earning points for each sunk ship.
Examen de matematicas TERCERO
This document appears to be a math exam with the following questions and operations: multiplication problems involving place value (13 x 10, 24 x 100, 54 x 1000), a multiplication word problem (5679 x 4), an addition problem (3456 + 956 = 4562), a subtraction problem (5675 - 898 = 4777), and a section asking to complete boxes applying the commutative property to addition expressions like (6 + 4) + 5 and 6 + (4 + 5). The document provides the student's name, course, questions, and the teacher's name.
Solving Equations And Equality
This document provides 7 examples of solving different types of equations. The equations include addition, subtraction, multiplication, division, inequality, and combining operations. Each step is shown to solve for the variable. The solutions are X=7, a=-27, x=18, y<16, Y=126, c=38, and X<49.
Comuter graphics dda algorithm
DDA algorithm examples, solved examples, computer graphics, pixel calculation, line drawing algorithm, line drawing solved, 2D line drawing calculation, extra examples on DDA algorithm, Hearn and Baker book on computer graphics
1st period exam review(w)
This document contains an answer key for a period exam reviewing quadratic equations, factoring polynomials, and solving quadratic equations. The answer key provides the factored form or solutions for 44 different quadratic equations or polynomials. The equations range in complexity from simple factoring like (x+1)(3x-5) to solving quadratics with irrational solutions like x = (-2 ± √14) /2.
Quinary multiplication
This document provides examples of multiplication in quinary, a base-5 numeral system. Example 21 shows the step-by-step working of 324 x 34. Each digit is multiplied individually and carried to the next column. The final answer is 1,022,311. Example 22 shows a longer multiplication problem of 2,440,3 x 4,232, with the final answer being 10,431,114,212,101.
Textbook problems worked out
These slides show some of the more difficult problems from the text worked out in detail with all the steps included. The text leaves out many key steps
Tugas 1 kalkulus
This document contains a student's assignments on calculus integration problems. It includes the student's name, student ID number, and major, followed by 7 integration problems with solutions. The problems involve integrating polynomials, rational functions, and finding integrals using u-substitution. The solutions provide the integrated functions and constants of integration.
Diamond and box factoring student version
The document explains and provides examples of how to factor quadratic expressions using the "x-box" method. This method involves drawing an x-box with the coefficients of the expression and identifying the greatest common factor and two binomial factors that multiply to the original expression. Three examples are provided and worked through step-by-step to demonstrate how to set up and solve factoring problems using the x-box method.
Important formulas for JEE Main 2020 - Subject-wise List
This document provides important formulas for the JEE Main 2020 exam across various subjects - mathematics, physics, and chemistry. In mathematics, formulas are provided for topics like roots of unity, complex numbers, trigonometry, quadratic equations, and vectors. In physics, formulas cover topics such as electricity, magnetism, motion, gravitation, work, and friction. Formulas in chemistry include those for temperature conversion, molarity, molecular mass, atomic structure, gas laws, thermodynamics, and electrochemistry. Mastering these essential formulas can help JEE aspirants save time during the exam, better prepare, and reduce mistakes.
Topic19
The document provides examples of how to solve multiplication problems without using pen and paper by rearranging the terms. It shows that (45 × 92) +(45 × 8) is the same as 45 x (92 + 8) which equals 4500. It also works through (225 × 98) + (225 × 2) which equals 22500 by treating it as 225 x 100. The final example is (132 × 7) + (132 × 993) and instructs the reader to work it out in their notebook.
How to factor
This document provides steps for factoring a quadratic equation of the form ax^2 + bx + c. It uses the example equation 2x^2 + 15x + 18. The steps are: 1) Identify the coefficients a, b, c. 2) Multiply a and c and add to b to find the first two terms' common factor. 3) Group the terms and factorize the equation into the form (ax + b)(cx + d). The example is factorized as (1x+6)(2x+3).
Problema 1
This document discusses solving polynomials using various numerical approximation methods and finding real roots. It provides examples of:
1) Finding the real roots of a cubic polynomial using numerical methods and comparing to the exact solution;
2) Approximating roots of a polynomial using the bisection method and comparing approximations to exact solutions;
3) Finding possible real roots of a quartic polynomial and approximating them using the bisection method.
What's hot (20)
Important formulas for JEE Main 2020 - Subject-wise List
Important formulas for JEE Main 2020 - Subject-wise List
Viewers also liked
Mar2 09 House Insurance
The document discusses the key factors that determine the cost of homeowners insurance. It lists five main factors: 1) replacement cost of buildings, contents, and liability coverage, 2) location and proximity to fire services, 3) type of coverage (comprehensive or standard), 4) deductible amount, and 5) available discounts for claims history, security systems, and age. It then provides examples of calculating insurance premiums for different policy scenarios.
Lesson 8 Nov 27 09
The document discusses linear approximation and finding zeros using Newton's method. It provides the formula for calculating the equation of the tangent line near a given point using the value and derivative of the function at that point. As an example, it calculates the tangent line approximation of the function y = -4x^2 + 6x + 9 near x = 2. It also gives the general formula for performing one iteration of Newton's method to find zeros of a function.
Doug's Truck project
The document summarizes work done over two summers to restore a truck cab. It describes picking up the cab in Detroit to replace the original, taking out the old cab, sandblasting and priming the cab and frame, doing bodywork like installing a new floor, and finally lifting the restored cab onto the frame.
Algebra Project Period 4
Algebra is a branch of mathematics that studies structure, relations, and quantities. The quadratic formula provides a method for solving quadratic equations of the form ax^2 + bx + c = 0 by using the coefficients a, b, and c. There are three main methods for solving quadratic equations: factoring, completing the square, and using the quadratic formula.
Foreign Exchange March 20
The document discusses foreign exchange rates and customs duties when importing goods into Canada from other countries. It provides examples of calculating costs of purchasing foreign currency and importing items. Foreign exchange rates have a buying rate and selling rate, with the difference earned by the bank. When importing goods, costs include converting currency, paying applicable customs duties and taxes, and GST. Personal exemptions apply to goods travelers bring into Canada depending on trip length.
Lesson 1 Oct 26
The federal government spends trillions of dollars each year, with around $4 trillion spent in 2019. Most of the government's revenue comes from individual and corporate income taxes, as well as payroll taxes that fund programs like Social Security and Medicare. The government also borrows money by issuing Treasury bonds and bills to help fund its spending.
Logatithms 0918
The document discusses properties of logarithms, including formulas for logb(MN), logb(M/N), and logbMr. It also covers the change of base formula and provides an example of approximating log5 7. The document then presents a word problem about modeling population growth over time for Ottawa, asking the reader to write a function for the population as a function of years and calculate how many years it will take for Ottawa's population to reach 3 million people, growing at 3% per year.
Invest review
Rem purchased 1000 shares of Wartel stock at $7.50 per share with a 7% commission. Six months later, Rem sold the shares at $8.50 per share with another 7% commission. Rem's total gain or loss from the transaction needs to be calculated. Registered savings plans offer advantages like tax-deferred growth that Marlon should consider for his $50 monthly investment goal. GICs have low risk but also low returns, while stocks have higher risk and potential returns. A 3% commission applies to purchasing 300 shares worth $12.48 each. Appropriate financial goals differ by age, such as saving for emergencies for a 20-year-old and retirement for a 50-year
Feb112009
This document discusses how to invest in stocks and provides examples of calculating costs for purchasing stocks and profits or losses from stock transactions. It explains that Louis wants to buy 500 shares of Manitoba Telecom and calculates his total cost including a 2% broker fee. It also gives an example of Mary purchasing then selling shares of Astral Media, calculating her profit/loss while factoring in 3% broker commissions for each transaction.
Correlation May 14 2009
The document discusses different types of correlations: positive correlation, where two variables increase together or decrease together; negative correlation, where one variable increases as the other decreases; and zero correlation, where there is no relationship between the variables. It provides examples of years of education and income showing positive correlation, while grade point average and time spent watching TV show negative correlation. The correlation coefficient r indicates the strength of correlations, with values between 0 and 1 for positive correlations, between 0 and -1 for negative correlations, and close to 0 for zero correlation.
04 Probability Mar8
This document contains 15 probability and counting problems involving scenarios like choosing meal combinations, generating random numbers, arranging letters, and determining routes. It asks the reader to find theoretical probabilities, count outcomes, and calculate the number of possibilities that satisfy given constraints.
Lesson 3 Mar 11 2010
The document defines net worth as the difference between total assets and total liabilities. Assets are things owned that have value, while liabilities are amounts owed. Assets can be liquid, semi-liquid, or non-liquid depending on how easily they can be converted to cash. Debts can be short-term, usually under 12 months, or long-term like mortgages. The document uses Krista's financial information, including home value, investments, bank account, credit card and vehicle debts, to calculate her net worth.
Statement And Demand For Taxes
This document discusses property taxes, which include municipal taxes and education taxes. Municipal taxes have a general municipal tax and local improvement taxes. Education taxes include provincial education taxes and school division taxes. The document provides an example of calculating the annual municipal and education taxes for a property owner named Andre Herbert based on his property's assessed value, tax rates, and other details. His total annual property taxes are calculated to be $3,287.51.
01 Probability Mar2
The document describes two probability experiments: spinning a die 30 times and recording results to calculate the probability of landing on 5, and spinning a spinner 20 times to calculate the probability of landing on red. It asks the reader to conduct the experiments, record their results, and compare the experimental probabilities to the theoretical probabilities of 1/6 for the die and the spinner's designated probability for each color section.
Quadratic Functions
This document provides information about graphing parabolas on a graphing calculator. It discusses the key parts of a parabola graph like the vertex, axis of symmetry, zeros, and y-intercept. It explains how to input equations into the graphing calculator and use functions to find the vertex, zeros, and maximum or minimum points. The document also covers how changing variables in the standard parabola equation affects the shape, direction, and location of the graphed parabola. Some examples of word problems involving parabolas are presented as well.
Perm And Comb Review Answers
This document contains a permutation and combination review test with multiple choice, short answer, and long answer questions. The test covers topics like permutations of letters, binomial expansions, and arrangements of identical objects on a shelf. It provides questions without answers to assess understanding of fundamental permutation and combination concepts.
Imaginary Mar 16 09
A rectangular piece of cardboard had its length and width determined by cutting out 3 cm by 3 cm squares from each corner and folding up the sides to form an open box with a volume of 450 cm3. An equation was needed to calculate the original length and width of the cardboard based on this information.
Presentation Letter (Caroline Labonte)
The candidate is seeking a position with the company and has over 6 years of experience as an interior designer, including contracting with design and architecture firms. She recently spent a year and a half traveling internationally to broaden her design inspiration. During her travels, she volunteered teaching English to children in Cambodia. The candidate believes she would be a good fit for the company due to her team spirit, perseverance, and ability to take on new challenges while welcoming constructive criticism. She is interested in meeting to present her portfolio and learn more about the company's business.
Viewers also liked (20)
More from ingroy
Lesson 4 Apr 8 2010
Dave needs a new computer for university costing $3,294 before taxes. Financing is available at 18.99% compounded monthly over 48, 36, or 24 months. The monthly payments and total paid are calculated for each term. Daniel can also lease the same computer for $106.92/month over 48 months, $132.32/month over 36 months, or $182.88/month over 24 months. The document then provides information about leasing, including what costs make up monthly lease payments and details that would be in a lease agreement.
Lesson 2 Apr 6 2010
The document discusses various interest rates and compounding periods for investments, savings accounts, and credit cards, and uses calculations to determine future values, effective interest rates, and the best investment options based on interest rates and compounding frequencies. Formulas like the Rule of 72 are presented for estimating doubling times given interest rates.
Lesson 3 Apr 7 2010
The monthly payments and total amount paid will increase as the loan term decreases from 48 months to 36 months to 24 months due to the interest being applied over a shorter period of time.
Lesson 1 Apr5 2010
The document defines key terms and concepts related to circles and their equations. It explains that a circle consists of points equidistant from a fixed center point, and defines the radius as the distance from the center to any point on the circle. It provides the standard equation for a circle with center at the origin, and notes that the standard form includes variables h and k to indicate the center coordinates and r for the radius. It also describes a second form for the circle equation that can be converted to standard form by completing the square.
Lesson 1 Apr 5 2010
This document discusses personal finance concepts like the time value of money and compound interest. It provides the basic formulas for calculating future value (FV), present value (PV), interest rate (I%), number of periods (N), principal (P), payments (PMT), periodic interest rate (r), number of compounding periods per year (n), and time (t). The document works through examples of using these formulas to calculate things like how much money you will have after investing a principal amount over a period of time at a given interest rate.
Pretest
The document contains 6 math problems: 1) Find the value of k that gives equal roots of the quadratic equation f(x)=x^2 + 4x + k. 2) Determine the nature of the roots of the quadratic equation 13x^2 - 15x = 4. 3) Solve the equation x - 3 = 2 for x. 4) Find the quadratic equation with integer coefficients given the roots 3 + 9i and 10. 5) Solve the equation x + 8 = 10x - 81 for x. 6) Solve the equation x/3 = 6 - 2x for x.
Lesson 03 Appsof Integrals Mar23
This document discusses using the shell method to calculate volumes of solids generated by revolving regions between functions around axes. It provides examples of revolving the function f(x)=x^2 around the x-axis and y-axis, and revolving the region between f(x)=0.5x^2-2x+4 and g(x)=4+4x-x^2 around both the x-axis and y-axis. Instructions are given to use the shell method to find each volume.
Lesson 08 Mar 23
Absolute value refers to the distance from zero on the number line. There are two values, -2 and 2, that have an absolute value of 2. Absolute value can never be negative because distance cannot be negative. The document provides examples of using absolute value to solve equations.
Lesson 07 Mar 20
This document discusses solving rational equations by finding the least common denominator, combining like terms, and then solving the resulting equation for the variable. It contains an exercise with questions 1, 6, and 7 about solving rational equations.
Vectors 03 Mar 20
This document provides instructions and problems for solving vector problems by drawing scale diagrams, adding vectors using the triangle method, and calculating distances and directions from starting points. Specifically, it asks the reader to: 1) draw scale diagrams of vectors for a person walking 13 blocks E15°S and a boat headed 300° at 45 km/h; 2) add the vectors using the triangle method; and 3) solve problems involving distances and directions for a man walking in different directions and a jogger moving north and east over time.
Lesson 06 Mar 19
An equation containing a radical is called a radical equation. This document refers to exercises 18 questions 1 through 5 and also questions 8 and 9 which involve solving or working with radical equations. The goal is to extract the key essential information about radical equations from the given document in 3 sentences or less.
Vectors 02 Mar 19
The document provides information about vector addition and trigonometric equations. It discusses drawing scale diagrams to represent vectors and their directions and magnitudes. Methods for adding vectors are described, including the triangle method used when vectors are tip-to-tail and the parallelogram method used when vectors are tail-to-tail. An example of each method is worked out to find the resultant vector.
Lesson 02 Appsof Integrals Mar19
The document contains instructions to find the volumes of solids generated by revolving regions bounded by graphs about axes. It gives the volume as 183.981 when revolving the region between the graphs y = 2x + 4 and y = ex about the x-axis. It also gives the volumes as 7/15 when revolving the region between y = x^2 + 1 and y = x + 1 about the x-axis and 4/5 when revolving the same region about the line y = -1.
Vectors 02 Mar 19
The document provides information about vector addition and trigonometric equations. It discusses drawing scale diagrams to represent vectors and their directions and magnitudes. Specific examples are given of adding vectors using the triangle method when vectors are tip-to-tail and the parallelogram method when they are tail-to-tail. Measurements from the scale diagrams along with a protractor can be used to find the resultant vector.
Vectors 01 Mar 18
The document discusses vectors and provides examples of identifying quantities as scalar or vector. It also discusses four notations for writing vectors using arrows, bearings, angle-direction-direction, and angle-direction of direction. Examples are given to demonstrate each notation. The document also discusses stating the direction of vectors in five ways and using diagrams of parallelograms to name vectors that are equal, opposite, collinear, or parallel but not equal to other vectors in the diagram.
Lesson 05 Mar 18
The document describes a problem where a rectangular piece of cardboard has a length longer than its width. Square pieces are cut from the corners and the sides are folded up to form a box with a volume of 450 cm3. The original length of the cardboard was 16 cm and the width was 11 cm.
Lesson 04 Mar 17
This document discusses methods for finding the roots of quadratic equations. It introduces the discriminant formula to determine the type of roots, and explains how to use the quadratic formula to find the exact values of the roots. It also shows how to write a quadratic equation given the sum and product of its roots, or given two integer roots.
Lesson 01 Appsof Integrals Mar17
The document discusses calculating the volume of solids of revolution using integrals. It provides the formula for finding the volume of a solid rotated about the x-axis between x=a and x=b using a cross-sectional area function A(x). It then works through an example of finding the volume of a right circular cone of height 4 and base radius 1, and confirms the result matches the standard volume formula for a cone.
Lesson 03 mar 16
This document provides instructions to solve equations by graphing them. The reader is directed to graph two or more equations simultaneously and find the point(s) of intersection, which will represent the solution(s) to the system of equations. The document references exercise problems 15 questions 1 through 3, which likely involve graphing and solving systems of equations.
More from ingroy (20)
Recently uploaded
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
Temple of Asclepius in Thrace. Excavation results
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
Constructing Your Course Container for Effective Communication
Communicating effectively and consistently with students can help them feel at ease during their learning experience and provide the instructor with a communication trail to track the course's progress. This workshop will take you through constructing an engaging course container to facilitate effective communication.
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Topic : Bed making
Subject : Nursing Foundation
Gender and Mental Health - Counselling and Family Therapy Applications and In...
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
How to Make a Field Mandatory in Odoo 17
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience Wahiba Chair Training & Consulting
Wahiba Chair's Talk at the 2024 Learning Ideas Conference. Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
Leveraging Generative AI to Drive Nonprofit Innovation
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
Hindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Recently uploaded (20)
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Constructing Your Course Container for Effective Communication
Constructing Your Course Container for Effective Communication
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx