Elementary & Intermediate Algebra
4th Edition
ISBN: 9780134556079
Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.
Publisher: Pearson,
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Textbook Question
Chapter 8.8, Problem 42E
Gas Laws The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. If a cylinder contains oxygen at a temperature of 300 kelvin (K) and a pressure of 15 atmospheres in a volume of 100 liters, what is the constant of proportionality k? If a piston is lowered into the cylinder, decreasing the volume occupied by the gas to 70 liters and raising the temperature to 315 K, what is the pressure?
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Elementary & Intermediate Algebra
Ch. 8.1 - Prob. 1ECh. 8.1 - True or False If a point lies in quadrant III of...Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Determine if the following coordinates represent...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Determine the coordinates of each of the points...Ch. 8.1 - Prob. 18ECh. 8.1 - In Prowers 19 and 20, plot each point in the...Ch. 8.1 - Prob. 20ECh. 8.1 - In Problems 21-26, determine whether the given...Ch. 8.1 - Prob. 22ECh. 8.1 - In Problems 21-26, determine whether the given...Ch. 8.1 - Prob. 24ECh. 8.1 - In Problems 21-26, determine whether the given...Ch. 8.1 - Prob. 26ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 28ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 32ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 34ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 36ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 38ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 40ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 42ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 44ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 48ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 50ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 52ECh. 8.1 - In Problems 27-54, graph each equation by plotting...Ch. 8.1 - Prob. 54ECh. 8.1 - In Problems 55-58, the graph of an equation is...Ch. 8.1 - In Problems 55-58, the graph of an equation is...Ch. 8.1 - In Problems 55-58, the graph of an equation is...Ch. 8.1 - Prob. 58ECh. 8.1 - If (a, 4) is a point on the graph of y = 4x 3,...Ch. 8.1 - Prob. 60ECh. 8.1 - If (3, b) is a point on the graph of y = x2 + 2x +...Ch. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Wind Chill It is 10 Celsius outside. The wind is...Ch. 8.1 - Plot the points (4, 0), (4, 2), (4, 3), and (4,...Ch. 8.1 - Prob. 68ECh. 8.1 - Prob. 73ECh. 8.1 - Prob. 74ECh. 8.1 - Prob. 75ECh. 8.1 - Prob. 76ECh. 8.1 - Prob. 77ECh. 8.1 - Prob. 78ECh. 8.1 - Prob. 79ECh. 8.1 - Prob. 80ECh. 8.1 - Prob. 81ECh. 8.1 - Prob. 82ECh. 8.1 - Prob. 83ECh. 8.1 - Prob. 84ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - True or False The range of a relation is always...Ch. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - In Problems 19-24, write each relation as a map....Ch. 8.2 - Prob. 20ECh. 8.2 - In Problems 19-24, write each relation as a map....Ch. 8.2 - Prob. 22ECh. 8.2 - In Problems 19-24, write each relation as a map....Ch. 8.2 - Prob. 24ECh. 8.2 - In Problems 2532, identity the domain and the...Ch. 8.2 - Prob. 26ECh. 8.2 - In Problems 2532, identity the domain and the...Ch. 8.2 - Prob. 28ECh. 8.2 - In Problems 2532, identity the domain and the...Ch. 8.2 - Prob. 30ECh. 8.2 - In Problems 2532, identity the domain and the...Ch. 8.2 - Prob. 32ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 34ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 36ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 38ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 40ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 42ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 44ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 46ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 50ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 52ECh. 8.2 - In Problems 33-64, graph the relation to identify...Ch. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.3 - A _______ is a relation in which each element in...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - In Problems 18 and 19, let f(x) = 2x 5. Evaluate...Ch. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - In Problem 53-60, find the indicated value of each...Ch. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - In Problems 61-64, find the indicated value of...Ch. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - Prob. 74ECh. 8.3 - Prob. 75ECh. 8.3 - Prob. 76ECh. 8.3 - Prob. 77ECh. 8.3 - Prob. 78ECh. 8.3 - Prob. 79ECh. 8.3 - Prob. 80ECh. 8.3 - Prob. 81ECh. 8.3 - Prob. 82ECh. 8.3 - Prob. 83ECh. 8.3 - Prob. 84ECh. 8.3 - Prob. 85ECh. 8.3 - Prob. 86ECh. 8.3 - Salary Express the gross salary G of Jackie, who...Ch. 8.3 - Prob. 88ECh. 8.3 - Prob. 89ECh. 8.3 - Prob. 90ECh. 8.3 - Prob. 91ECh. 8.3 - Prob. 92ECh. 8.3 - Prob. 93ECh. 8.3 - Prob. 94ECh. 8.3 - Salary The gross salary G of Kevin as a function...Ch. 8.3 - Prob. 96ECh. 8.3 - Prob. 97ECh. 8.3 - Prob. 98ECh. 8.3 - Prob. 99ECh. 8.3 - Prob. 100ECh. 8.3 - Prob. 102ECh. 8.3 - Prob. 103ECh. 8.3 - Prob. 104ECh. 8.3 - Prob. 105ECh. 8.3 - Prob. 106ECh. 8.3 - Prob. 107ECh. 8.3 - Prob. 108ECh. 8.3 - Prob. 109ECh. 8.3 - Prob. 110ECh. 8.3 - Prob. 111ECh. 8.3 - Prob. 112ECh. 8.3 - Prob. 113ECh. 8.3 - Use technology to find the value of each function...Ch. 8.4 - When a function is defined by an equation in x and...Ch. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - In Problems 15-22, graph each function See...Ch. 8.4 - Prob. 16ECh. 8.4 - In Problems 15-22, graph each function See...Ch. 8.4 - Prob. 18ECh. 8.4 - In Problems 15-22, graph each function See...Ch. 8.4 - Prob. 20ECh. 8.4 - In Problems 15-22, graph each function See...Ch. 8.4 - Prob. 22ECh. 8.4 - In Probems 2332, for each graph of a function,...Ch. 8.4 - Prob. 24ECh. 8.4 - In Probems 2332, for each graph of a function,...Ch. 8.4 - Prob. 26ECh. 8.4 - In Probems 2332, for each graph of a function,...Ch. 8.4 - Prob. 28ECh. 8.4 - In Probems 2332, for each graph of a function,...Ch. 8.4 - Prob. 30ECh. 8.4 - In Probems 2332, for each graph of a function,...Ch. 8.4 - Prob. 32ECh. 8.4 - Use the graph of the function f shown to answer...Ch. 8.4 - Prob. 34ECh. 8.4 - Use the table of values for the function F to...Ch. 8.4 - Prob. 36ECh. 8.4 - In Problems 37-40, answer the questions about the...Ch. 8.4 - Prob. 38ECh. 8.4 - In Problems 37-40, answer the questions about the...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - In Problems 4750, sketch the graph of each...Ch. 8.4 - Prob. 48ECh. 8.4 - In Problems 1522, graph each function See...Ch. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Pulse Rate Consider the following scenario: Zach...Ch. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.4 - Explain what the range of a function is.Ch. 8.4 - Prob. 64ECh. 8.4 - Prob. 65ECh. 8.5 - For the graph of a linear function f(x) = mx + 6,...Ch. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - In Problems 5-8, graph each linear function. 8....Ch. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - For Problems 19-30, graph each linear function....Ch. 8.5 - Prob. 20ECh. 8.5 - For Problems 19-30, graph each linear function....Ch. 8.5 - Prob. 22ECh. 8.5 - For Problems 19-30, graph each linear function....Ch. 8.5 - Prob. 24ECh. 8.5 - For Problems 19-30, graph each linear function....Ch. 8.5 - Prob. 26ECh. 8.5 - For Problems 19-30, graph each linear function....Ch. 8.5 - Prob. 28ECh. 8.5 - For Problems 19-30, graph each linear function....Ch. 8.5 - Prob. 30ECh. 8.5 - In Problems 31-38, find the zero of the linear...Ch. 8.5 - Prob. 32ECh. 8.5 - In Problems 31-38, find the zero of the linear...Ch. 8.5 - Prob. 34ECh. 8.5 - In Problems 31-38, find the zero of the linear...Ch. 8.5 - Prob. 36ECh. 8.5 - In Problems 31-38, find the zero of the linear...Ch. 8.5 - Prob. 38ECh. 8.5 - In Problems 39-42, determine whether the scatter...Ch. 8.5 - Prob. 40ECh. 8.5 - In Problems 39-42, determine whether the scatter...Ch. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8.5 - Prob. 58ECh. 8.5 - Prob. 59ECh. 8.5 - Prob. 60ECh. 8.5 - Prob. 61ECh. 8.5 - Prob. 62ECh. 8.5 - Phone Charges Sprint has a long-distance phone...Ch. 8.5 - RV Rental The weekly rental cost R of a class C...Ch. 8.5 - Prob. 65ECh. 8.5 - Prob. 66ECh. 8.5 - Prob. 67ECh. 8.5 - Prob. 68ECh. 8.5 - Prob. 69ECh. 8.5 - Prob. 70ECh. 8.5 - Prob. 71ECh. 8.5 - Prob. 72ECh. 8.5 - Prob. 73ECh. 8.5 - Height versus Head Circumference The following...Ch. 8.5 - Prob. 75ECh. 8.5 - Prob. 76ECh. 8.5 - Prob. 77ECh. 8.5 - Prob. 78ECh. 8.5 - Prob. 79ECh. 8.5 - Prob. 80ECh. 8.6 - The ________ intersection of two sets A and B,...Ch. 8.6 - The word _______ implies intersection. The word...Ch. 8.6 - Prob. 3ECh. 8.6 - True or False The symbol for the union of two sets...Ch. 8.6 - Prob. 5ECh. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8.6 - Prob. 10ECh. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - In Problems 29-34, use A = {4, 5, 6, 7, 8, 9}, B=...Ch. 8.6 - Prob. 30ECh. 8.6 - In Problems 29-34, use A = {4, 5, 6, 7, 8, 9}, B=...Ch. 8.6 - Prob. 32ECh. 8.6 - In Problems 29-34, use A = {4, 5, 6, 7, 8, 9}, B=...Ch. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - In Problems 3538, use the graph of the inequality...Ch. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - In Problems 3942, use the graph to solve the...Ch. 8.6 - Prob. 42ECh. 8.6 - Prob. 43ECh. 8.6 - Prob. 44ECh. 8.6 - In Problems 43-66, solve each compound inequality....Ch. 8.6 - Prob. 46ECh. 8.6 - Prob. 47ECh. 8.6 - Prob. 48ECh. 8.6 - In Problems 43-66, solve each compound inequality....Ch. 8.6 - Prob. 50ECh. 8.6 - Prob. 51ECh. 8.6 - Prob. 52ECh. 8.6 - In Problems 43-66, solve each compound inequality....Ch. 8.6 - In Problems 43-66, solve each compound inequality....Ch. 8.6 - Prob. 55ECh. 8.6 - Prob. 56ECh. 8.6 - In Problems 43-66, solve each compound inequality....Ch. 8.6 - Prob. 58ECh. 8.6 - Prob. 59ECh. 8.6 - Prob. 60ECh. 8.6 - Prob. 61ECh. 8.6 - Prob. 62ECh. 8.6 - Prob. 63ECh. 8.6 - Prob. 64ECh. 8.6 - In Problems 43-66, solve each compound inequality....Ch. 8.6 - Prob. 66ECh. 8.6 - Prob. 67ECh. 8.6 - Prob. 68ECh. 8.6 - In Problems 67-80, solve each compound inequality....Ch. 8.6 - Prob. 70ECh. 8.6 - Prob. 71ECh. 8.6 - Prob. 72ECh. 8.6 - In Problems 6780, solve each compound inequality...Ch. 8.6 - Prob. 74ECh. 8.6 - Prob. 75ECh. 8.6 - Prob. 76ECh. 8.6 - In Problems 6780, solve each compound inequality...Ch. 8.6 - Prob. 78ECh. 8.6 - Prob. 79ECh. 8.6 - Prob. 80ECh. 8.6 - In Problems 8194, solve each compound inequality....Ch. 8.6 - Prob. 82ECh. 8.6 - Prob. 83ECh. 8.6 - Prob. 84ECh. 8.6 - In Problems 8194, solve each compound inequality....Ch. 8.6 - Prob. 86ECh. 8.6 - In Problems 8194, solve each compound inequality....Ch. 8.6 - Prob. 88ECh. 8.6 - In Problems 8194, solve each compound inequality....Ch. 8.6 - Prob. 90ECh. 8.6 - Prob. 91ECh. 8.6 - Prob. 92ECh. 8.6 - In Problems 8194, solve each compound inequality....Ch. 8.6 - Prob. 94ECh. 8.6 - Prob. 95ECh. 8.6 - Prob. 96ECh. 8.6 - Prob. 97ECh. 8.6 - Prob. 98ECh. 8.6 - Prob. 99ECh. 8.6 - Prob. 100ECh. 8.6 - Systolic Blood Pressure Blood pressure is measured...Ch. 8.6 - Prob. 102ECh. 8.6 - Prob. 103ECh. 8.6 - Prob. 104ECh. 8.6 - Prob. 105ECh. 8.6 - Prob. 106ECh. 8.6 - Prob. 107ECh. 8.6 - Prob. 108ECh. 8.6 - Prob. 109ECh. 8.6 - Prob. 110ECh. 8.6 - Prob. 111ECh. 8.6 - Prob. 112ECh. 8.6 - Prob. 113ECh. 8.6 - Prob. 114ECh. 8.6 - Prob. 115ECh. 8.6 - Prob. 116ECh. 8.6 - Consider the following analysis, assuming that x ...Ch. 8.7 - In Problems 1 and 2, solve the equation...Ch. 8.7 - In Problems 1 and 2, solve the equation...Ch. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.7 - Prob. 30ECh. 8.7 - Prob. 31ECh. 8.7 - Prob. 32ECh. 8.7 - Prob. 33ECh. 8.7 - Prob. 34ECh. 8.7 - Prob. 35ECh. 8.7 - In Problems 3540, solve each inequality. Express...Ch. 8.7 - Prob. 37ECh. 8.7 - Prob. 38ECh. 8.7 - In Problems 3540, solve each inequality. Express...Ch. 8.7 - Prob. 40ECh. 8.7 - Prob. 41ECh. 8.7 - Prob. 42ECh. 8.7 - Prob. 43ECh. 8.7 - Prob. 44ECh. 8.7 - Prob. 45ECh. 8.7 - Prob. 46ECh. 8.7 - Prob. 47ECh. 8.7 - Prob. 48ECh. 8.7 - Prob. 49ECh. 8.7 - Prob. 50ECh. 8.7 - Prob. 51ECh. 8.7 - In Problems 4368, solve each absolute value...Ch. 8.7 - Prob. 53ECh. 8.7 - Prob. 54ECh. 8.7 - Prob. 55ECh. 8.7 - Prob. 56ECh. 8.7 - Prob. 57ECh. 8.7 - Prob. 58ECh. 8.7 - Prob. 59ECh. 8.7 - Prob. 60ECh. 8.7 - Prob. 61ECh. 8.7 - Prob. 62ECh. 8.7 - Prob. 63ECh. 8.7 - Prob. 64ECh. 8.7 - Prob. 65ECh. 8.7 - Prob. 66ECh. 8.7 - Prob. 67ECh. 8.7 - Prob. 68ECh. 8.7 - Prob. 69ECh. 8.7 - Prob. 70ECh. 8.7 - Prob. 71ECh. 8.7 - Prob. 72ECh. 8.7 - Prob. 73ECh. 8.7 - Prob. 74ECh. 8.7 - Prob. 75ECh. 8.7 - Prob. 76ECh. 8.7 - Prob. 77ECh. 8.7 - Prob. 78ECh. 8.7 - Prob. 79ECh. 8.7 - Prob. 80ECh. 8.7 - Prob. 81ECh. 8.7 - Prob. 82ECh. 8.7 - Prob. 83ECh. 8.7 - Prob. 84ECh. 8.7 - In Problems 83-94, solve each absolute value...Ch. 8.7 - Prob. 86ECh. 8.7 - Prob. 87ECh. 8.7 - Prob. 88ECh. 8.7 - In Problems 83-94, solve each absolute value...Ch. 8.7 - Prob. 90ECh. 8.7 - Prob. 91ECh. 8.7 - Prob. 92ECh. 8.7 - Prob. 93ECh. 8.7 - In Problems 83-94, solve each absolute value...Ch. 8.7 - Prob. 95ECh. 8.7 - Prob. 96ECh. 8.7 - Prob. 97ECh. 8.7 - Prob. 98ECh. 8.7 - Prob. 99ECh. 8.7 - Prob. 100ECh. 8.7 - Prob. 101ECh. 8.7 - Prob. 102ECh. 8.7 - Prob. 103ECh. 8.7 - Prob. 104ECh. 8.7 - Prob. 105ECh. 8.7 - Prob. 106ECh. 8.7 - Prob. 107ECh. 8.7 - Prob. 108ECh. 8.7 - Prob. 109ECh. 8.7 - Prob. 110ECh. 8.7 - Prob. 111ECh. 8.7 - Prob. 112ECh. 8.7 - Prob. 113ECh. 8.7 - Prob. 114ECh. 8.7 - Prob. 115ECh. 8.7 - Prob. 116ECh. 8.7 - Prob. 117ECh. 8.7 - Prob. 118ECh. 8.7 - Prob. 119ECh. 8.7 - Prob. 120ECh. 8.7 - Prob. 121ECh. 8.7 - Prob. 122ECh. 8.7 - Express the fact that twice x differs from 6 by...Ch. 8.7 - Prob. 124ECh. 8.7 - Prob. 125ECh. 8.7 - Prob. 126ECh. 8.7 - Prob. 127ECh. 8.7 - Prob. 128ECh. 8.7 - Prob. 129ECh. 8.7 - Prob. 130ECh. 8.7 - Prob. 131ECh. 8.7 - Prob. 132ECh. 8.7 - Prob. 133ECh. 8.7 - Prob. 134ECh. 8.7 - Prob. 135ECh. 8.7 - Prob. 136ECh. 8.7 - Prob. 137ECh. 8.7 - Prob. 138ECh. 8.7 - Prob. 139ECh. 8.7 - Prob. 140ECh. 8.8 - Prob. 1ECh. 8.8 - Prob. 2ECh. 8.8 - Prob. 3ECh. 8.8 - Prob. 4ECh. 8.8 - Prob. 5ECh. 8.8 - Prob. 6ECh. 8.8 - Prob. 7ECh. 8.8 - The kinetic energy K of an object varies jointly...Ch. 8.8 - Prob. 9ECh. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.8 - Prob. 13ECh. 8.8 - Prob. 14ECh. 8.8 - Prob. 15ECh. 8.8 - Prob. 16ECh. 8.8 - Prob. 17ECh. 8.8 - Prob. 18ECh. 8.8 - Prob. 19ECh. 8.8 - Prob. 20ECh. 8.8 - Prob. 21ECh. 8.8 - Prob. 22ECh. 8.8 - Prob. 23ECh. 8.8 - In Problems 2124 (a) find the constant of...Ch. 8.8 - Prob. 25ECh. 8.8 - Prob. 26ECh. 8.8 - Prob. 27ECh. 8.8 - Prob. 28ECh. 8.8 - Prob. 29ECh. 8.8 - Circumference of a Circle The circumference of a...Ch. 8.8 - Demand Suppose that the demand D for candy at the...Ch. 8.8 - Prob. 32ECh. 8.8 - Prob. 33ECh. 8.8 - Resistance The current I in a circuit is inversely...Ch. 8.8 - Prob. 35ECh. 8.8 - Prob. 36ECh. 8.8 - Prob. 37ECh. 8.8 - Prob. 38ECh. 8.8 - Prob. 39ECh. 8.8 - Prob. 40ECh. 8.8 - Prob. 41ECh. 8.8 - Gas Laws The volume V of an ideal gas varies...Ch. 8.8 - David and Goliath The force F (in newtons)...Ch. 8.8 - Prob. 44ECh. 8 - Plot the following ordered pairs in the same...Ch. 8 - Prob. 2PCTCh. 8 - Prob. 3PCTCh. 8 - Prob. 4PCTCh. 8 - Prob. 5PCTCh. 8 - Prob. 6PCTCh. 8 - Prob. 7PCTCh. 8 - Prob. 8PCTCh. 8 - Prob. 9PCTCh. 8 - Prob. 10PCTCh. 8 - Prob. 11PCTCh. 8 - Prob. 12PCTCh. 8 - Prob. 13PCTCh. 8 - Prob. 14PCTCh. 8 - Prob. 15PCTCh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - In Problems 1720, identify the domain and range of...Ch. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Cell Phones A cell phone company offers a plan for...Ch. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - The table below gives the number of calories and...Ch. 8 - Prob. 76RECh. 8 - In Problems 77-80, use A = {2, 4, 6, 8}, B = {1,...Ch. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RECh. 8 - Prob. 83RECh. 8 - Prob. 84RECh. 8 - Prob. 85RECh. 8 - Prob. 86RECh. 8 - Prob. 87RECh. 8 - Prob. 88RECh. 8 - Prob. 89RECh. 8 - Prob. 90RECh. 8 - Prob. 91RECh. 8 - Prob. 92RECh. 8 - Prob. 93RECh. 8 - Prob. 94RECh. 8 - Prob. 95RECh. 8 - Prob. 96RECh. 8 - Prob. 97RECh. 8 - Prob. 98RECh. 8 - Prob. 99RECh. 8 - Prob. 100RECh. 8 - Prob. 101RECh. 8 - Prob. 102RECh. 8 - Prob. 103RECh. 8 - Prob. 104RECh. 8 - Prob. 105RECh. 8 - Prob. 106RECh. 8 - In Problems 101-108, solve each absolute value...Ch. 8 - Prob. 108RECh. 8 - Prob. 109RECh. 8 - Prob. 110RECh. 8 - Prob. 111RECh. 8 - Prob. 112RECh. 8 - Prob. 113RECh. 8 - Prob. 114RECh. 8 - Prob. 115RECh. 8 - Prob. 116RECh. 8 - Prob. 117RECh. 8 - Prob. 118RECh. 8 - Prob. 119RECh. 8 - Prob. 120RECh. 8 - Prob. 121RECh. 8 - Prob. 122RECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - In Problems 89, determine whether each relation...Ch. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - h(x) = 5x + 12 a. Is the point (2, 2) on the graph...Ch. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Prob. 19TCh. 8 - Prob. 20TCh. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Prob. 24TCh. 8 - Prob. 25T
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- Power from a Windmill The power P that can be obtained from a windmill is directly proportional to the cube of the wind speed s. (a)Write an equation that expresses this variation. (b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is blowing at 20 mi/h. (c) How much power will this windmill produce if the wind speed increases to 30 mi/h?arrow_forwardKeplers Third Law Keplers Third Law of planetary motion states that the square of the period T of a planet the time it takes for the planet to make a complete revolution about the sun is directly proportional to the cube of its average distance d from the sun. a Express Keplers Third Law as an equation. b Find the constant of proportionality by using the fact that for our planet the period is about 365 days and the average distance is about 93 million miles. c The planet Neptune is about 2.79109 mi from the sun. Find the period of Neptune.arrow_forwardHookes Law Hookes Law states that the force needed to keep a spring stretched x units beyond its natural length is directly proportional to x. Here the constant of proportionality is called the spring constant. a Write Hookes Law as an equation. b If a spring has a natural length of 5 cm and a force of 30 N is required to maintain the spring stretched to a length of 9 cm, find the spring constant. c What force is needed to keep the spring stretched to a length of 11 cm?arrow_forward
- Kepler’s Third Law Kepler’s Third Law of planetary motion states that the square of the period T of a planet (the time it takes fur the planet to make a complete resolution about the sun) is directly proportional to the cube of its average distance d from the sun. (a) Express Kepler’s Third Law as an equation. (b) Find the constant of proportionality by using the Fact that for our planet the period is about 365 days and the average distance is about 93 million miles (c) The planet Neptune is about 2.79109 mi from the sun. Find the period of Neptune.arrow_forwardSkidding in a Curve A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight w of the car and the square of its speed s and is inversely proportional to the radius r of the curve. a Write an equation that expresses this variation. b A car weighing 1600 lb travels around a curve at 60 mi/h. The next car to round this curve weighs 2500 lb and requires the same force as the first car to keep from skidding. How fast is the second car traveling?arrow_forwardLoudness of Sound The loudness L of a sound (measured in decibels, dB) is inversely proportional to the square of the distance d from the source of the sound. (a) Write an equation that expresses this variation. (b) Find the constant of proportionality if a person 10 ft. from a lawn mower experiences a sound level of 70 dB . (c) If the distance in part (b) is doubled, by what factor is the loudness changed? (d) If the distance in part (b) is cut in half, by what factor is the loudness changed?arrow_forward
- A Jet of Water The power P of a jet of water is jointly proportional to the cross-sectional area A of the jet and to the cube of the velocity v. a Write an equation that expresses this variation. b If the velocity is doubled and the cross-sectional area is halved, by what factor is the power changed? c If the velocity is halved and the cross-sectional area is tripled, by what factor is the power changed?arrow_forwardHubbles Constant Astronomers believe that the universe is expanding and that stellar objects are moving away from us at a radial velocity V proportional to the distance D from Earth to the object. a. Write V as a function of D using H as the constant of proportionality. b. The equation in part a was first discovered by Edwin Hubble in 1929 and is known as Hubbles law. The constant of proportionality H is known as Hubbles constant. The currently accepted value of Hubbles constant is 70 kilometers per second per megaparsec. One megaparsec is about 3.0861019 kilometers. With these units for H, the distance D is measured in megaparsecs, and the velocity V is measured in kilometers per second. The galaxy G2237+305 is about 122.7 megaparsecs from Earth. How fast is G2237+305 receding from Earth? c. One important feature of Hubbles constant is that scientists use it to estimate the age of the universe. The approximate relation is y=1012H Where y is time in years. Hubbles constant is extremely difficult to measure, and Edwin Hubbles best estimate in 1929 was about 530 kilometers per second per megaparsec. What is the approximate age of the universe when this value of H is used? d. The calculation in part c would give scientists some concern, since Earth is thought to be about 4.6 billion years old. What estimate of the age of the universe does the more modern value of 70 kilometers per second per megaparsec give?arrow_forward
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