College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 5.1, Problem 67E
Nutrition A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 32 units of niacin and 22000 units of retinol. She uses two types of commercial pellet foods. Food A contains 0.12 unit of niacin and 100 units of retinol per gram. Food B contains 0.20 unit of niacin and 50 units of retinol per gram. How many gram of each food does she feed this group of rats each day?
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dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Five randomly selected subjects were pre-tested, and then they took the mineral supplement for a 6-week period. The Cholesterol level before and after taking the mineral supplements are shown in table below. (Cholesterol level is measured in milligrams per deciliter).
Subject: 1 2 3 4 5
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After: 212 200 188 174 250
parts a and b plewse
Peanut butter is produced from raw peanuts. During manufacturing first, the
peanut shell, soil, and sand are removed using a sheller. The removed shell, sand and
soil correspond to 2/5 of the raw material by weight entering to sheller. Then the
deshelled peanuts, containing 5.6% water, 26% protein, 47.5% fat, 18.6%
carbohydrate, and 2.3% ash, are roasted. After roasting the water content decreases
to 1.8% due to the evaporation during roasting. The roasted peanuts are then
subjected to skin removal operation in a blancher where the skins removed constitute
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a grinder with addition of 1 kg hydrogenated fat and 2 kg honey per 100 kg of roasted
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Chapter 5 Solutions
College Algebra
Ch. 5.1 - The system of equations {2x+3y=75xy=9} is a system...Ch. 5.1 - A system of equation in two variable can be solved...Ch. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...
Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Elimination method Use the elimination method to...Ch. 5.1 - Graphical Method Two equations and their graphs...Ch. 5.1 - Graphical Method Two equations and their graphs...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Number of solutions determined Graphically Graph...Ch. 5.1 - Prob. 20ECh. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Solving a system of equations Solve the system, or...Ch. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Value of coin A man has 14 coins in his pocket,...Ch. 5.1 - Admission Fees The admission fee at an amusement...Ch. 5.1 - Gas Station A gas Station sells regular gas for...Ch. 5.1 - Prob. 64ECh. 5.1 - Airplane Speed A man flies a small airplane from...Ch. 5.1 - Prob. 66ECh. 5.1 - Nutrition A researcher performs an experiment to...Ch. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - Mixture problem A biologist has two brine...Ch. 5.1 - Prob. 71ECh. 5.1 - Investments A man invests his savings in two...Ch. 5.1 - Prob. 73ECh. 5.1 - Aerobic exercise a woman is spitfire by cycling...Ch. 5.1 - Prob. 75ECh. 5.1 - Prob. 76ECh. 5.1 - Prob. 77ECh. 5.2 - These exercises refer to the following system: If...Ch. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Triangular system Use back Substitution to solve...Ch. 5.2 - Triangular system Use back substitution to solve...Ch. 5.2 - Triangular system Use back substitution to solve...Ch. 5.2 - Triangular Systems Use back-substitution to solve...Ch. 5.2 - Triangular system Use back substitution to solve...Ch. 5.2 - Triangular Systems Use Back substitution to solve...Ch. 5.2 - Eliminating a variable Perform an operation on the...Ch. 5.2 - Eliminating a variable perform and operation on...Ch. 5.2 - Eliminating a variable perform an operation on the...Ch. 5.2 - Eliminating a variable Perform an operation on the...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Solving a system of equation in three variables...Ch. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Financial Planning Mark has $100,000 to invest....Ch. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Diet Program Nicole started a new diet that...Ch. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.4 - The system of equations {2yx2=0yx=4} Is graph...Ch. 5.4 - The system of equations {2yx2=0yx=4} Is graphed...Ch. 5.4 - Substitutions method Use the substitution method...Ch. 5.4 - Substitution method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Substitution Method Use the substitution method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Elimination method Use the elimination method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Elimination method Use the elimination method to...Ch. 5.4 - Elimination Method Use the elimination method to...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Finding intersection points graphically two...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Solving Nonliear Systems Find all solutions of the...Ch. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Solving Nonlinear system Find all solutions of the...Ch. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Prob. 46ECh. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.5 - Prob. 1ECh. 5.5 - To graph an inequality, we first graph the...Ch. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - Prob. 6ECh. 5.5 - Prob. 7ECh. 5.5 - Prob. 8ECh. 5.5 - Prob. 9ECh. 5.5 - Prob. 10ECh. 5.5 - Prob. 11ECh. 5.5 - Graphing Inequalities Graph the inequality x1Ch. 5.5 - Graphing Inequalities Graph the inequality x2Ch. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Prob. 19ECh. 5.5 - Prob. 20ECh. 5.5 - Prob. 21ECh. 5.5 - Prob. 22ECh. 5.5 - Prob. 23ECh. 5.5 - Graphing inequalities Use a Graphing calculator to...Ch. 5.5 - Graphing inequalities Use a Graphing calculator to...Ch. 5.5 - Prob. 26ECh. 5.5 - Prob. 27ECh. 5.5 - Prob. 28ECh. 5.5 - Prob. 29ECh. 5.5 - Prob. 30ECh. 5.5 - Systems of Inequalities Graph the solutions set of...Ch. 5.5 - Prob. 32ECh. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Systems of Inequalities Graph the solutions set of...Ch. 5.5 - Prob. 37ECh. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Prob. 40ECh. 5.5 - Prob. 41ECh. 5.5 - Prob. 42ECh. 5.5 - Prob. 43ECh. 5.5 - Prob. 44ECh. 5.5 - Prob. 45ECh. 5.5 - Prob. 46ECh. 5.5 - Prob. 47ECh. 5.5 - Prob. 48ECh. 5.5 - Prob. 49ECh. 5.5 - Prob. 50ECh. 5.5 - Prob. 51ECh. 5.5 - Prob. 52ECh. 5.5 - Prob. 53ECh. 5.5 - Prob. 54ECh. 5.5 - Prob. 55ECh. 5.5 - Prob. 56ECh. 5.5 - Prob. 57ECh. 5.5 - Prob. 58ECh. 5.5 - Prob. 59ECh. 5.5 - Prob. 60ECh. 5.5 - Prob. 61ECh. 5.5 - Prob. 62ECh. 5.5 - Prob. 63ECh. 5.5 - Prob. 64ECh. 5.5 - Prob. 65ECh. 5.5 - Prob. 66ECh. 5.5 - Prob. 67ECh. 5.5 - Graphing Systems in inequalities Use a graphing...Ch. 5.5 - Prob. 69ECh. 5.5 - Prob. 70ECh. 5.5 - Prob. 71ECh. 5.5 - Prob. 72ECh. 5.5 - Coffee Blends A coffee merchant sells two...Ch. 5.5 - Prob. 74ECh. 5.5 - Discuss Shading unwanted regions to graph the...Ch. 5 - Prob. 1CCCh. 5 - Prob. 2CCCh. 5 - Prob. 3CCCh. 5 - Prob. 4CCCh. 5 - Prob. 5CCCh. 5 - (a) Explain how Gaussian elimination works. (b)...Ch. 5 - (a) How do we express a rational function r as a...Ch. 5 - Prob. 8CCCh. 5 - (a) How do we graph the solution set of a system...Ch. 5 - Prob. 1ECh. 5 - Systems Of linear Equations in two Variables Solve...Ch. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - Prob. 5ECh. 5 - Prob. 6ECh. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Prob. 9ECh. 5 - Prob. 10ECh. 5 - Prob. 11ECh. 5 - Prob. 12ECh. 5 - Prob. 13ECh. 5 - Prob. 14ECh. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - Prob. 19ECh. 5 - Prob. 20ECh. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38ECh. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Prob. 43ECh. 5 - Prob. 44ECh. 5 - Prob. 45ECh. 5 - Graphing Inequalities Graph the inequality xy24Ch. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - Prob. 50ECh. 5 - Prob. 51ECh. 5 - Prob. 52ECh. 5 - Prob. 53ECh. 5 - Prob. 54ECh. 5 - Prob. 55ECh. 5 - Prob. 56ECh. 5 - Prob. 57ECh. 5 - General System of equations for what Values of k...Ch. 5 - A system of equations if given. (a) Determine...Ch. 5 - A system of equation is given. (a) Determine...Ch. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Find the maximum and minimum values of the given...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Manufacturing Calculators A manufacturer of...Ch. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Feeding Lab Rabbits A biologist wishes to feed...Ch. 5 - Investing in Bonds A woman wishes to invest...Ch. 5 - Annual interest yield refer to problem 13 .suppose...Ch. 5 - Business Strategy A small software company...Ch. 5 - Feasible region all part of this problem refer to...
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardThe body needs vitamin D in order to use calcium. An experiment is designed to study the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Two doses of calcium will be used: 0 and 300 milligrams per day (mg/day). The doses of vitamin D will be 0 and 150 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets, including those with no calcium and no vitamin D, will look identical. Subjects for the study will be 30 men and 30 women. There are how many factors? and how many treatments in this design?.arrow_forwardThe body needs vitamin D in order to use calcium. An experiment is designed to study the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Two doses of calcium will be used: 0 and 300 milligrams per day (mg/day). The doses of vitamin D will be 0 and 150 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets, including those with no calcium and no vitamin D, will look identical. Subjects for the stud 20 d0n.man. V [ Select ] factors ani one There are Select] two three treatments in this design. four five six MacBook Air DII DD F3 F4 F5 F7 F8 F9 $ & 4 5 6 8. R Y U F G H K L V M comma * 00 B トarrow_forward
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