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# Basic Algebra

### Expressions - Question #11 / 50 Rewrite the following..... (see attachment for complete description)

Question #11 / 50 Rewrite the following..... Question #12 / 50 Simplify.... Write your answer without using negative exponents. Question #13 / 50 Simplify.... Write your answer without using negative exponents. Question #14 / 50 Simplify the following..... Question #8 / 50 Express the following produ

### Square Roots of numbers ending in 25(see attachment)

To find the square of any number with 2 or more digits with 5 as the last digit. 15 ^ 2 = you multiply 1 x the next number (2) + 25 = 225 25^2 = you multiply 2 x the next number (3) + 25 = 625 35^2 = you multiply 3 x the next number (4) + 25 = 1225 ... 95^2 = you multiply 9 x the next number (10) + 25 = 9025 and o

### Mathematics - Algebra of Rate Questions

Question #21 / 25 Mary drove 378 miles using 15 gallons of gas. At this rate, how many miles would she drive using 8 gallons of gas? Question #22 / 25 There is a sales tax of \$9 on an item that costs \$125 before tax. The sales tax on a second item is 20. 55 . How much does the second item cost before tax? Questio

### Algebra - (Need assistance on the attachment.) 1. On three consecutive passes a football team gains 9 yards, losses 14 yards, and gains 19 yards. What number represents the total net yardage? 2. Solve by elimination method....... ...

(Need assistance on the attachment.) 1. On three consecutive passes a football team gains 9 yards, losses 14 yards, and gains 19 yards. What number represents the total net yardage? 2. Solve by elimination method....... 3. Find the domain of the function...... 4. g(x)= 3/6-5x What is the domain of the

### Algebra

What does an equation have that an expression does not?

### Algebra problems

Please see attachment for complete description 94. Area of a painting. A rectangular painting with a width of....... 96. Amount of an investment. The amount of an investmentof P dollars for ...... a) Rewrite this formula by factoring..... b) Find A if \$8300 is invested for 3 years..... 5.2 100. Demand for pool

### Matrx theory and analysis homework problem

Please see the word document I have included, Thank-you for your help. Let B = . Find each of the following. You may use a calculator to replace hand calculation for row reduction and finding the characteristic polynomial. Show your work; don't just write down the answers. (a) Find the characteristic polynomial of "A

### Mathematics - Algebra - Compounding interest

Initial deposit was 2,000 for 5 years at a rate of 8 percent. If a bank compounds continuously, then the formula used is A= Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round the answer to the hundredths place.

### Factoring polynomials, difference of two fourth powers

Factor each trinomial using the AC method. Problem 1:2x^2+11x + 5 Problem 2:21x +2x-3 Factoring a difference of two fourth powers. Problem 3: m^4 - n^4 Problem 4:3x^3 -12x Problem 5:8b^2 +24b +18 Problem 6:3x^2 -18x -48 factoring two squares: Problem 7: x^3+ax+3a+3x^2

### Polynomials and monomials

Greatest Common Factor for Monomials. Find the greatest common factor for each group of monomials. Problem 1: 16x z, 40xz , 72z Problem 2: 15x y - 9xy +6x y Problem 3: a(a+1) - 3(a+1) Factoring a Difference of Two squares. Factor each polynomial. Problem 4: 9a -64b Problem 5: x y + 2x y +xy

### Word problems on quadratic equations

Problem 1: One side of a rectangle is 2 meters longer than the other. If the diagonal is 10 meters, what are the lengths of the sides? Problem 2:you throw down an object from a height of 128 feet with an initial velocity of 32 feet per second. The height of the object above the ground after 't' seconds is given by s(t)= -16t

### Word problems (see attachment)

See attachment Section 6,1: 120. Toxic pollutants. The annual cost in dollars for removing p% of the toxic chemicals from a town's water supply is given by the formula c(p) = b) Use the formula to find C(99.5) and C(99.9). c) What happens to the cost as the percentage of pollutants removed approaches 100%? Se

### Rewrite without parentheses and simplify ... (see attachment for equation)

Rewrite without parentheses and simplify ... (see attachment for equation)

### Exponential and Logarithmic Functions - Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of the substance using the formula. Discuss the meaning of pH and [H+], the pH scale and why your chosen substance is alkaline. Use scientific notation or enough decimal places so that your answer has at least 3 place values. For example, either use 3.44*10-9 or 0.00000000344.

Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of the

### Graph - Graph the line y = 2x - 2 I only need the points on the graph (see attachment)

Graph - Graph the line y = 2x - 2 I only need the points on the graph (see attachment)

### Technique- Application, use factoring to solve problems

See attachment Choose one of the techniques for factoring polynomials ( Application, use factoring to solve problems). I need an explanation on this technique (Application. Use factoring to solve problems, here is an example. 5.2 5. Technique- Application, use factorin

### Mathematics - Algebra - Equations

106. Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula N(t) = 3t^3 + 23t^2 +8t. a) Rewrite the formula by factoring the right-hand side completely. b) Us

### Graphing and finding logarithmic function for given data

In an art class, students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. their scores after time x in months, are give in the following table Time, X (in months) Score, y 1 84.9% 2

### Algebra assistance

Need assistance with the attached problems 1. Determine whether the ordered pair is a solution of the inequality (2,23) 8y-9x>2

### Subsets of given finite sets

(a) List all subsets of the set {a, b, c, d}. (b) Determine the number of subsets of the set A = {a, b, c, d, e, f}, without writing them down. (c) Determine the number of subsets of the set B = {a, b, c, d, e, f, g, h, i} , without writing them down.

### Exponential and Logarithmic Functions

Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of the

### Word problems on linear and quadratic equations

See attachment 114. Diameter of a circle. If the diameter of a circle is 1.3 x10^-12 meters, then what is its radius? 94. Perimeter of a rectangle. The width of a rectangular playground is 2x x- 5 feet, and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perime

### Inequality - 1. The body mass index, I, can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index given by the formula, or model, I = 700W/H2, (H2 means to the second power) where, W= weight in pounds, and H= height, in inches. Francis weighs 181 pounds and stands 74 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low risk category. 2. Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first \$170 of her medical bill, plus 40% of the rest. Under plan B, Giselle would have to pay the first \$240, but only 35% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over \$240 in bills. 3. In order to receive maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 30 year old women with a resting heart rate with 65 beats per minute should keep her heart rate between 140 and 165 beats per minute while exercising. She checks her pulse 10 seconds while exercising. What should the number of beats be? Between ___ and _____ BPM

Assistance with attached problems 1. The body mass index, I, can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index given by the formula, or model, I = 700W/H2, (H2 means to the second power) where, W= weight in pounds, and H= height, in inches. Francis

### Order of operations - What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression for someone to simplify using at least three of the following: o Groupings (parenthesis, brackets, or braces) o Exponents o Multiplication or division o Addition or subtraction

What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression for someone to simplify using at least three of the following: o Groupings (parenthesis, brackets, or braces) o Exponents o Multiplication or division o Addition

### Monthly Cost of Water Consumption

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.65. If the monthly bill for 21 HCF is 27.51 what is the monthly bill for 26 HCF?

### What is the Expoential Function - I have to pick a country that is experiencing population growth. I have selected France and the population is currently: 64,057,790, (2008) the growth rate per year is: 0.574%. I have to use the growth rate to approximate the population for 2009, 2010, 2011 and 2012. I am to solve the problem using the Exponential Growth Function of: F(x), = current population (growth rate). X is the number of years. I have to show all work.I know it must be simple but I can not figure it out. Thanks!

I have to pick a country that is experiencing population growth. I have selected France and the population is currently: 64,057,790, (2008) the growth rate per year is: 0.574%. I have to use the growth rate to approximate the population for 2009, 2010, 2011 and 2012. I am to solve the problem using the Exponential Growth Functio

### Applying Algebra in Daily Routines

In your work or personal life, what are some common applications of algebra? If you don't have first-hand knowledge of these applications, then how do you perceive it being used? If you're feeling really motivated, please give an example equation with your example.

### Multiplying binomials - Problem: (3h-5)(3h+5)

Problem: (3h-5)(3h+5)

### Population

The population of Japan in 2005 was 127,417,244 They have a 0.05 percent growth rate. Use growth rate to approximate the population in 2012

### Various algebra / math problems

See the attachment for algebra word problems and problems with operations. 1. Porfirio went shopping for some clothes. He bought a shirt for \$59.98, a pair shoes for \$93.19, a hat for \$22.95, a coat for \$120.85, and socks for \$11.29. Estimate to the nearest dollar the total amount of Porfirio's purchases. 2. Divide: 72/6 3.