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Basic Algebra

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

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.

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

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?

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.

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.

Algebra Word Problems: Linear System

1. The perimeter of a rectangle is 60m. The length is 9m more than twice the width. Find the dimensions 2. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320lb mixture that is 11% protein? How many pounds of the cornmeal should be in the mixture? How

Population growth - Pick a country of your choice that is experiencing population growth.(Not China, India, or United states) Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. ...

Pick a country of your choice that is experiencing population growth.(Not China, India, or United states) Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the populat

Mathematics - Algebra - Quadratic Equations Problems

Solving Quadratic Equations - 2. Give exact and approximate solutions to three decimal places. (Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.) 3. Give exact and approximate solutions to three decimal places

Differential Equations Problem Involving Implicit Differentiation

The problem is: dx/dt = (x-1)(1-2x); ln {2x-1/x-1} = t To solve this problem I must, first, verify that the indicated expression is an implicit solution of the given first-order differential equation then find at least one explicit solution. The last element of the solution is to use a graphing utility to obtain the graph

Algebra problems

1. In 1920 the record for a certain race was 46.8 sec. In 1970, it was 45.8 sec. Let R(t)= the record in the race and t= the number of years since 1920. a. Find a linear function that fits the data b. Use the function in (a) to predict the record in 2003 and in 2006 c. Find the year when the record will be 44.8 sec 2.

Radical and rational exponents

Part 1: Using the Library, web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the avera

Gas mileage

In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50. The first car has consumed 20 gallons during that week, and the second has consumed 35 gallons, for a total of 1450 miles driven by the two cars combined. What was the average gas mileage obtained by each

Algebra - Finding How Many Members In A Club

Members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the the club so that the cost per person will decrease by $2000. How many members are currently in the club?