Trigonometry (MindTap Course List)
10th Edition
ISBN: 9781337278461
Author: Ron Larson
Publisher: Cengage Learning
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Textbook Question
Chapter P.9, Problem 66E
True or False? In Exercises 65 and 66, determine whether the statement is true or false. Justify your answer.
When you are given two
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Express the function in the form f ∘ g.
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g(1) = d, g(2) = c, g(3) = a, g(4) = b
h(1) = b, h(2) = d, h(3) = b, h(4) = c
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Chapter P Solutions
Trigonometry (MindTap Course List)
Ch. P.1 - Repeat Example 1 for the set ,14,63,122,7.5,1,8,22...Ch. P.1 - Plot the real numbers on the real number line....Ch. P.1 - Place the appropriate inequality symbol (or)...Ch. P.1 - Describe the subset of real numbers that the...Ch. P.1 - Give a verbal description of the interval [2,5) .Ch. P.1 - Use inequality notation to represent the statement...Ch. P.1 - Evaluate each expression. a.1b.34c.23d.0.7Ch. P.1 - Evaluate x+3x+3 for (a) x3 and (b) x3 .Ch. P.1 - Prob. 9ECPCh. P.1 - a. Find the distance between 35 and 23 . b. Find...
Ch. P.1 - Prob. 11ECPCh. P.1 - Prob. 12ECPCh. P.1 - Prob. 13ECPCh. P.1 - Prob. 14ECPCh. P.1 - Fill in the blanks. The decimal representation of...Ch. P.1 - Fill in the blanks. The point representing 0 on...Ch. P.1 - Fill in the blanks. The distance between the...Ch. P.1 - Prob. 4ECh. P.1 - Fill in the blanks. The ________ of an algebraic...Ch. P.1 - Prob. 6ECh. P.1 - Classifying Real Numbers In Exercises 7-10,...Ch. P.1 - Prob. 8ECh. P.1 - Prob. 9ECh. P.1 - Prob. 10ECh. P.1 - Plotting Points on the Real Number Line In...Ch. P.1 - Plotting Points on the Real Number Line In...Ch. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Prob. 17ECh. P.1 - Prob. 18ECh. P.1 - Prob. 19ECh. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Prob. 22ECh. P.1 - Interpreting an Inequality or an Interval In...Ch. P.1 - Interpreting an Inequality or an Interval In...Ch. P.1 - Using Inequality and Interval Notation In...Ch. P.1 - Prob. 26ECh. P.1 - Prob. 27ECh. P.1 - Using Inequality and Interval Notation In...Ch. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Finding a Distance In Exercises 43-46, find the...Ch. P.1 - Prob. 44ECh. P.1 - Prob. 45ECh. P.1 - Finding a Distance In Exercises 43-46, find the...Ch. P.1 - Prob. 47ECh. P.1 - Prob. 48ECh. P.1 - In Exercises 49-52, use the bar graph, which shows...Ch. P.1 - Prob. 50ECh. P.1 - In Exercises 49-52, use the bar graph, which shows...Ch. P.1 - Prob. 52ECh. P.1 - Prob. 53ECh. P.1 - Prob. 54ECh. P.1 - Prob. 55ECh. P.1 - Prob. 56ECh. P.1 - Prob. 57ECh. P.1 - Prob. 58ECh. P.1 - Prob. 59ECh. P.1 - Prob. 60ECh. P.1 - Prob. 61ECh. P.1 - Prob. 62ECh. P.1 - Prob. 63ECh. P.1 - Prob. 64ECh. P.1 - Prob. 65ECh. P.1 - Prob. 66ECh. P.1 - Prob. 67ECh. P.1 - Prob. 68ECh. P.1 - Operations with Fractions In Exercises 69-72,...Ch. P.1 - Prob. 70ECh. P.1 - Prob. 71ECh. P.1 - Prob. 72ECh. P.1 - Prob. 73ECh. P.1 - Prob. 74ECh. P.1 - Prob. 75ECh. P.1 - Prob. 76ECh. P.1 - Prob. 77ECh. P.2 - Solve each equation. a. 72x=15 b. 7x9=5x+7Ch. P.2 - Prob. 2ECPCh. P.2 - Prob. 3ECPCh. P.2 - Solve 2x23x+1=6 by factoring.Ch. P.2 - Prob. 5ECPCh. P.2 - Prob. 6ECPCh. P.2 - Prob. 7ECPCh. P.2 - Prob. 8ECPCh. P.2 - Prob. 9ECPCh. P.2 - Prob. 10ECPCh. P.2 - Prob. 11ECPCh. P.2 - Prob. 12ECPCh. P.2 - Prob. 13ECPCh. P.2 - Prob. 14ECPCh. P.2 - Prob. 1ECh. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Prob. 7ECh. P.2 - Prob. 8ECh. P.2 - Prob. 9ECh. P.2 - Prob. 10ECh. P.2 - Prob. 11ECh. P.2 - Prob. 12ECh. P.2 - Prob. 13ECh. P.2 - Prob. 14ECh. P.2 - Prob. 15ECh. P.2 - Prob. 16ECh. P.2 - Prob. 17ECh. P.2 - Prob. 18ECh. P.2 - Prob. 19ECh. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. P.2 - Prob. 22ECh. P.2 - Prob. 23ECh. P.2 - Prob. 24ECh. P.2 - Prob. 25ECh. P.2 - Prob. 26ECh. P.2 - Prob. 27ECh. P.2 - Prob. 28ECh. P.2 - Prob. 29ECh. P.2 - Prob. 30ECh. P.2 - Prob. 31ECh. P.2 - Prob. 32ECh. P.2 - Prob. 33ECh. P.2 - Prob. 34ECh. P.2 - Extracting Square Roots In Exercises 35-42, solve...Ch. P.2 - Prob. 36ECh. P.2 - Prob. 37ECh. P.2 - Prob. 38ECh. P.2 - Prob. 39ECh. P.2 - Prob. 40ECh. P.2 - Prob. 41ECh. P.2 - Prob. 42ECh. P.2 - Prob. 43ECh. P.2 - Prob. 44ECh. P.2 - Prob. 45ECh. P.2 - Prob. 46ECh. P.2 - Prob. 47ECh. P.2 - Prob. 48ECh. P.2 - Prob. 49ECh. P.2 - Prob. 50ECh. P.2 - Prob. 51ECh. P.2 - Prob. 52ECh. P.2 - Prob. 53ECh. P.2 - Prob. 54ECh. P.2 - Prob. 55ECh. P.2 - Prob. 56ECh. P.2 - Prob. 57ECh. P.2 - Prob. 58ECh. P.2 - Prob. 59ECh. P.2 - Prob. 60ECh. P.2 - Prob. 61ECh. P.2 - Prob. 62ECh. P.2 - Prob. 63ECh. P.2 - Prob. 64ECh. P.2 - Prob. 65ECh. P.2 - Prob. 66ECh. P.2 - Prob. 67ECh. P.2 - Prob. 68ECh. P.2 - Prob. 69ECh. P.2 - Prob. 70ECh. P.2 - Using the Quadratic Formula In Exercises 69-72,...Ch. P.2 - Prob. 72ECh. P.2 - Prob. 73ECh. P.2 - Prob. 74ECh. P.2 - Prob. 75ECh. P.2 - Prob. 76ECh. P.2 - Prob. 77ECh. P.2 - Prob. 78ECh. P.2 - Prob. 79ECh. P.2 - Prob. 80ECh. P.2 - Prob. 81ECh. P.2 - Prob. 82ECh. P.2 - Prob. 83ECh. P.2 - Prob. 84ECh. P.2 - Prob. 85ECh. P.2 - Prob. 86ECh. P.2 - Prob. 87ECh. P.2 - Prob. 88ECh. P.2 - Prob. 89ECh. P.2 - Prob. 90ECh. P.2 - Prob. 91ECh. P.2 - Prob. 92ECh. P.2 - Prob. 93ECh. P.2 - Prob. 94ECh. P.2 - Prob. 95ECh. P.2 - Prob. 96ECh. P.2 - Prob. 97ECh. P.2 - Prob. 98ECh. P.2 - Prob. 99ECh. P.2 - Prob. 100ECh. P.2 - Prob. 101ECh. P.2 - Prob. 102ECh. P.2 - Prob. 103ECh. P.2 - Prob. 104ECh. P.2 - Prob. 105ECh. P.2 - Prob. 106ECh. P.2 - In Exercises 107 and 108, use the following...Ch. P.2 - In Exercises 107 and 108, use the following...Ch. P.2 - Prob. 109ECh. P.2 - Prob. 110ECh. P.2 - Prob. 111ECh. P.2 - Prob. 112ECh. P.2 - Prob. 113ECh. P.3 - Prob. 1ECPCh. P.3 - Prob. 2ECPCh. P.3 - Prob. 3ECPCh. P.3 - Prob. 4ECPCh. P.3 - Prob. 5ECPCh. P.3 - Prob. 6ECPCh. P.3 - Prob. 7ECPCh. P.3 - Sketch the graph of each equation. a.y=x2+3b.y=1x2Ch. P.3 - Prob. 9ECPCh. P.3 - Prob. 10ECPCh. P.3 - Prob. 11ECPCh. P.3 - Prob. 12ECPCh. P.3 - Prob. 13ECPCh. P.3 - Prob. 1ECh. P.3 - Prob. 2ECh. P.3 - Prob. 3ECh. P.3 - Prob. 4ECh. P.3 - Prob. 5ECh. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - Prob. 8ECh. P.3 - Prob. 9ECh. P.3 - Prob. 10ECh. P.3 - Prob. 11ECh. P.3 - Prob. 12ECh. P.3 - Prob. 13ECh. P.3 - Prob. 14ECh. P.3 - Prob. 15ECh. P.3 - Prob. 16ECh. P.3 - Prob. 17ECh. P.3 - Prob. 18ECh. P.3 - Prob. 19ECh. P.3 - Prob. 20ECh. P.3 - Prob. 21ECh. P.3 - Prob. 22ECh. P.3 - Prob. 23ECh. P.3 - Prob. 24ECh. P.3 - Prob. 25ECh. P.3 - Prob. 26ECh. P.3 - Prob. 27ECh. P.3 - Prob. 28ECh. P.3 - Prob. 29ECh. P.3 - Prob. 30ECh. P.3 - Prob. 31ECh. P.3 - Prob. 32ECh. P.3 - Prob. 33ECh. P.3 - Prob. 34ECh. P.3 - Prob. 35ECh. P.3 - Prob. 36ECh. P.3 - Prob. 37ECh. P.3 - Prob. 38ECh. P.3 - Prob. 39ECh. P.3 - Prob. 40ECh. P.3 - Prob. 41ECh. P.3 - Prob. 42ECh. P.3 - Prob. 43ECh. P.3 - Prob. 44ECh. P.3 - Prob. 45ECh. P.3 - Prob. 46ECh. P.3 - Prob. 47ECh. P.3 - Prob. 48ECh. P.3 - Prob. 49ECh. P.3 - Prob. 50ECh. P.3 - Prob. 51ECh. P.3 - Prob. 52ECh. P.3 - Prob. 53ECh. P.3 - Prob. 54ECh. P.3 - Prob. 55ECh. P.3 - Prob. 56ECh. P.3 - Prob. 57ECh. P.3 - Prob. 58ECh. P.3 - Prob. 59ECh. P.3 - Prob. 60ECh. P.3 - Prob. 61ECh. P.3 - Prob. 62ECh. P.3 - Prob. 63ECh. P.3 - Prob. 64ECh. P.3 - Prob. 65ECh. P.3 - Prob. 66ECh. P.3 - Prob. 67ECh. P.3 - Prob. 68ECh. P.3 - Prob. 69ECh. P.3 - Prob. 70ECh. P.3 - Prob. 71ECh. P.3 - Prob. 72ECh. P.3 - Prob. 73ECh. P.3 - Prob. 74ECh. P.3 - Prob. 75ECh. P.3 - Prob. 76ECh. P.3 - Prob. 77ECh. P.3 - Prob. 78ECh. P.3 - Prob. 79ECh. P.3 - Prob. 80ECh. P.3 - Prob. 81ECh. P.3 - Prob. 82ECh. P.3 - Prob. 83ECh. P.3 - Prob. 84ECh. P.3 - Prob. 85ECh. P.3 - Prob. 86ECh. P.3 - Prob. 87ECh. P.3 - Prob. 88ECh. P.3 - Prob. 89ECh. P.3 - Prob. 90ECh. P.3 - Prob. 91ECh. P.3 - Prob. 92ECh. P.3 - Prob. 93ECh. P.3 - Prob. 94ECh. P.3 - Prob. 95ECh. P.3 - Population Statistics The table shows the life...Ch. P.3 - Prob. 97ECh. P.3 - Prob. 98ECh. P.3 - Prob. 99ECh. P.3 - Prob. 100ECh. P.3 - Prob. 101ECh. P.3 - Prob. 102ECh. P.3 - Proof Prove that the diagonals of the...Ch. P.3 - HOW DO YOU SEE IT? Use the plot of the point x0,y0...Ch. P.3 - Prob. 105ECh. P.4 - Prob. 1ECPCh. P.4 - Prob. 2ECPCh. P.4 - Prob. 3ECPCh. P.4 - Prob. 4ECPCh. P.4 - Prob. 5ECPCh. P.4 - An accounting firm determines that the value V (in...Ch. P.4 - Prob. 7ECPCh. P.4 - Prob. 8ECPCh. P.4 - Prob. 1ECh. P.4 - Prob. 2ECh. P.4 - Prob. 3ECh. P.4 - Prob. 4ECh. P.4 - Prob. 5ECh. P.4 - Fill in the blanks. When the x-axis and y-axis...Ch. P.4 - Prob. 7ECh. P.4 - Prob. 8ECh. P.4 - Prob. 9ECh. P.4 - Prob. 10ECh. P.4 - Prob. 11ECh. P.4 - Prob. 12ECh. P.4 - Prob. 13ECh. P.4 - Prob. 14ECh. P.4 - Prob. 15ECh. P.4 - Prob. 16ECh. P.4 - Prob. 17ECh. P.4 - Prob. 18ECh. P.4 - Prob. 19ECh. P.4 - Prob. 20ECh. P.4 - Prob. 21ECh. P.4 - Prob. 22ECh. P.4 - Prob. 23ECh. P.4 - Prob. 24ECh. P.4 - Prob. 25ECh. P.4 - Prob. 26ECh. P.4 - Prob. 27ECh. P.4 - Prob. 28ECh. P.4 - Prob. 29ECh. P.4 - Prob. 30ECh. P.4 - Prob. 31ECh. P.4 - Prob. 32ECh. P.4 - Prob. 33ECh. P.4 - Prob. 34ECh. P.4 - Prob. 35ECh. P.4 - Prob. 36ECh. P.4 - Prob. 37ECh. P.4 - Prob. 38ECh. P.4 - Prob. 39ECh. P.4 - Prob. 40ECh. P.4 - Prob. 41ECh. P.4 - Prob. 42ECh. P.4 - Prob. 43ECh. P.4 - Prob. 44ECh. P.4 - Prob. 45ECh. P.4 - Prob. 46ECh. P.4 - Prob. 47ECh. P.4 - Prob. 48ECh. P.4 - Prob. 49ECh. P.4 - Prob. 50ECh. P.4 - Prob. 51ECh. P.4 - Prob. 52ECh. P.4 - Prob. 53ECh. P.4 - Prob. 54ECh. P.4 - Prob. 55ECh. P.4 - Prob. 56ECh. P.4 - Prob. 57ECh. P.4 - Prob. 58ECh. P.4 - Prob. 59ECh. P.4 - Prob. 60ECh. P.4 - Prob. 61ECh. P.4 - Prob. 62ECh. P.4 - Prob. 63ECh. P.4 - Finding an Equation of a Line In Exercises 55-64,...Ch. P.4 - Prob. 65ECh. P.4 - Prob. 66ECh. P.4 - Prob. 67ECh. P.4 - Prob. 68ECh. P.4 - Prob. 69ECh. P.4 - Prob. 70ECh. P.4 - Prob. 71ECh. P.4 - Prob. 72ECh. P.4 - Prob. 73ECh. P.4 - Prob. 74ECh. P.4 - Prob. 75ECh. P.4 - Prob. 76ECh. P.4 - Prob. 77ECh. P.4 - Prob. 78ECh. P.4 - Prob. 79ECh. P.4 - Prob. 80ECh. P.4 - Prob. 81ECh. P.4 - Prob. 82ECh. P.4 - Prob. 83ECh. P.4 - Prob. 84ECh. P.4 - Prob. 85ECh. P.4 - Prob. 86ECh. P.4 - Prob. 87ECh. P.4 - Sales The graph shows the sales (in billions of...Ch. P.4 - Prob. 89ECh. P.4 - Prob. 90ECh. P.4 - Prob. 91ECh. P.4 - Prob. 92ECh. P.4 - Prob. 93ECh. P.4 - Monthly Salary A pharmaceutical salesperson...Ch. P.4 - Prob. 95ECh. P.4 - Prob. 96ECh. P.4 - Temperature Conversion Write a linear equation...Ch. P.4 - Neurology The average weight of a male child’s...Ch. P.4 - Prob. 99ECh. P.4 - Geometry The length and width of a rectangular...Ch. P.4 - Prob. 101ECh. P.4 - Prob. 102ECh. P.4 - Prob. 103ECh. P.4 - Prob. 104ECh. P.4 - Prob. 105ECh. P.4 - Prob. 106ECh. P.4 - Prob. 107ECh. P.4 - Prob. 108ECh. P.4 - Prob. 109ECh. P.4 - HOW DO YOU SEE IT? Match the description of the...Ch. P.4 - Prob. 111ECh. P.4 - Prob. 112ECh. P.4 - Prob. 113ECh. P.4 - Prob. 114ECh. P.5 - Determine whether the relation represents y as a...Ch. P.5 - Determine whether each equation represents y as a...Ch. P.5 - Let fx=103x2. Find each function value. a. f2 b....Ch. P.5 - Evaluate the function given in Example 4 when...Ch. P.5 - Find all real values of x for which fx = 0, where...Ch. P.5 - Prob. 6ECPCh. P.5 - Prob. 7ECPCh. P.5 - For the experimental can described in Example 8,...Ch. P.5 - Prob. 9ECPCh. P.5 - Prob. 10ECPCh. P.5 - Prob. 11ECPCh. P.5 - Prob. 1ECh. P.5 - Fill in the blanks. For an equation that...Ch. P.5 - Prob. 3ECh. P.5 - Prob. 4ECh. P.5 - Prob. 5ECh. P.5 - Prob. 6ECh. P.5 - Prob. 7ECh. P.5 - Prob. 8ECh. P.5 - Prob. 9ECh. P.5 - Prob. 10ECh. P.5 - Prob. 11ECh. P.5 - Prob. 12ECh. P.5 - Prob. 13ECh. P.5 - Prob. 14ECh. P.5 - Prob. 15ECh. P.5 - Prob. 16ECh. P.5 - Prob. 17ECh. P.5 - Prob. 18ECh. P.5 - Prob. 19ECh. P.5 - Evaluating a Function In Exercises 19-30, find...Ch. P.5 - Prob. 21ECh. P.5 - Prob. 22ECh. P.5 - Prob. 23ECh. P.5 - Prob. 24ECh. P.5 - Prob. 25ECh. P.5 - Prob. 26ECh. P.5 - Prob. 27ECh. P.5 - Prob. 28ECh. P.5 - Prob. 29ECh. P.5 - Prob. 30ECh. P.5 - Prob. 31ECh. P.5 - Prob. 32ECh. P.5 - Prob. 33ECh. P.5 - Prob. 34ECh. P.5 - Prob. 35ECh. P.5 - Prob. 36ECh. P.5 - Prob. 37ECh. P.5 - Prob. 38ECh. P.5 - Prob. 39ECh. P.5 - Prob. 40ECh. P.5 - Prob. 41ECh. P.5 - Prob. 42ECh. P.5 - Prob. 43ECh. P.5 - Prob. 44ECh. P.5 - Prob. 45ECh. P.5 - Prob. 46ECh. P.5 - Prob. 47ECh. P.5 - Prob. 48ECh. P.5 - Prob. 49ECh. P.5 - Prob. 50ECh. P.5 - Prob. 51ECh. P.5 - Prob. 52ECh. P.5 - Prob. 53ECh. P.5 - Finding the Domain of a Function In Exercises...Ch. P.5 - Prob. 55ECh. P.5 - Prob. 56ECh. P.5 - Prob. 57ECh. P.5 - Prob. 58ECh. P.5 - Prob. 59ECh. P.5 - Prob. 60ECh. P.5 - Prob. 61ECh. P.5 - Postal Regulations A rectangular package has a...Ch. P.5 - Prob. 63ECh. P.5 - Prob. 64ECh. P.5 - Prob. 65ECh. P.5 - Median Sale Price The median sale price p (in...Ch. P.5 - Prob. 67ECh. P.5 - Prob. 68ECh. P.5 - Prob. 69ECh. P.5 - Prob. 70ECh. P.5 - Prob. 71ECh. P.5 - E-Filing The table shows the numbers of tax...Ch. P.5 - Prob. 73ECh. P.5 - Prob. 74ECh. P.5 - Prob. 75ECh. P.5 - Prob. 76ECh. P.5 - Prob. 77ECh. P.5 - Prob. 78ECh. P.5 - Evaluating a Difference Quotient In Exercises...Ch. P.5 - Prob. 80ECh. P.5 - Prob. 81ECh. P.5 - Prob. 82ECh. P.5 - Prob. 83ECh. P.5 - Prob. 84ECh. P.5 - Prob. 85ECh. P.5 - Prob. 86ECh. P.5 - Prob. 87ECh. P.5 - Prob. 88ECh. P.5 - Prob. 89ECh. P.5 - Prob. 90ECh. P.5 - Prob. 91ECh. P.5 - Prob. 92ECh. P.5 - Prob. 93ECh. P.5 - Prob. 94ECh. P.6 - Use the graph of the function f to find (a) the...Ch. P.6 - Prob. 2ECPCh. P.6 - Prob. 3ECPCh. P.6 - Prob. 4ECPCh. P.6 - Use a graphing utility to approximate the relative...Ch. P.6 - Find the average rates of change of f(x)=x2+2x (a)...Ch. P.6 - Prob. 7ECPCh. P.6 - Prob. 8ECPCh. P.6 - Prob. 1ECh. P.6 - Prob. 2ECh. P.6 - Prob. 3ECh. P.6 - Prob. 4ECh. P.6 - Prob. 5ECh. P.6 - Prob. 6ECh. P.6 - Domain, Range, and Values of a Function In...Ch. P.6 - Prob. 8ECh. P.6 - Prob. 9ECh. P.6 - Domain, Range, and Values of a Function In...Ch. P.6 - Prob. 11ECh. P.6 - Vertical Line Test for Functions In Exercises...Ch. P.6 - Vertical Line Test for Functions In Exercises...Ch. P.6 - Prob. 14ECh. P.6 - Prob. 15ECh. P.6 - Prob. 16ECh. P.6 - Prob. 17ECh. P.6 - Prob. 18ECh. P.6 - Prob. 19ECh. P.6 - Prob. 20ECh. P.6 - Prob. 21ECh. P.6 - Prob. 22ECh. P.6 - Prob. 23ECh. P.6 - Prob. 24ECh. P.6 - Prob. 25ECh. P.6 - Prob. 26ECh. P.6 - Prob. 27ECh. P.6 - Prob. 28ECh. P.6 - Prob. 29ECh. P.6 - Prob. 30ECh. P.6 - Prob. 31ECh. P.6 - Prob. 32ECh. P.6 - Prob. 33ECh. P.6 - Describing Function Behavior In Exercises 33-40,...Ch. P.6 - Prob. 35ECh. P.6 - Prob. 36ECh. P.6 - Prob. 37ECh. P.6 - Describing Function Behavior In Exercises 33-40,...Ch. P.6 - Prob. 39ECh. P.6 - Prob. 40ECh. P.6 - Prob. 41ECh. P.6 - Prob. 42ECh. P.6 - Prob. 43ECh. P.6 - Prob. 44ECh. P.6 - Prob. 45ECh. P.6 - Prob. 46ECh. P.6 - Prob. 47ECh. P.6 - Prob. 48ECh. P.6 - Prob. 49ECh. P.6 - Prob. 50ECh. P.6 - Prob. 51ECh. P.6 - Prob. 52ECh. P.6 - Prob. 53ECh. P.6 - Prob. 54ECh. P.6 - Prob. 55ECh. P.6 - Prob. 56ECh. P.6 - Prob. 57ECh. P.6 - Prob. 58ECh. P.6 - Prob. 59ECh. P.6 - Prob. 60ECh. P.6 - Prob. 61ECh. P.6 - Prob. 62ECh. P.6 - Prob. 63ECh. P.6 - Prob. 64ECh. P.6 - Research and Development The amounts (in billions...Ch. P.6 - Prob. 66ECh. P.6 - Physics In Exercises 67-70, (a) use the position...Ch. P.6 - Prob. 68ECh. P.6 - Prob. 69ECh. P.6 - Prob. 70ECh. P.6 - Prob. 71ECh. P.6 - Prob. 72ECh. P.6 - Prob. 73ECh. P.6 - Prob. 74ECh. P.6 - Prob. 75ECh. P.6 - Prob. 76ECh. P.6 - Prob. 77ECh. P.6 - Prob. 78ECh. P.6 - Prob. 79ECh. P.6 - Prob. 80ECh. P.6 - Prob. 81ECh. P.6 - Prob. 82ECh. P.6 - Prob. 83ECh. P.6 - Height of a Rectangle In Exercises 83 and 84,...Ch. P.6 - Prob. 85ECh. P.6 - Prob. 86ECh. P.6 - Prob. 87ECh. P.6 - Prob. 88ECh. P.6 - Prob. 89ECh. P.6 - Temperature The table shows the temperatures y (in...Ch. P.6 - True or False? In Exercises 91-93, determine...Ch. P.6 - Prob. 92ECh. P.6 - Prob. 93ECh. P.6 - Prob. 94ECh. P.6 - Prob. 95ECh. P.6 - Prob. 96ECh. P.6 - Prob. 97ECh. P.6 - Prob. 98ECh. P.6 - Prob. 99ECh. P.7 - Prob. 1ECPCh. P.7 - Prob. 2ECPCh. P.7 - Prob. 3ECPCh. P.7 - Prob. 1ECh. P.7 - Prob. 2ECh. P.7 - Prob. 3ECh. P.7 - Prob. 4ECh. P.7 - Prob. 5ECh. P.7 - Prob. 6ECh. P.7 - Prob. 7ECh. P.7 - Prob. 8ECh. P.7 - Prob. 9ECh. P.7 - Prob. 10ECh. P.7 - Prob. 11ECh. P.7 - Prob. 12ECh. P.7 - Prob. 13ECh. P.7 - Prob. 14ECh. P.7 - Prob. 15ECh. P.7 - Prob. 16ECh. P.7 - Prob. 17ECh. P.7 - Prob. 18ECh. P.7 - Prob. 19ECh. P.7 - Prob. 20ECh. P.7 - Prob. 21ECh. P.7 - Prob. 22ECh. P.7 - Prob. 23ECh. P.7 - Prob. 24ECh. P.7 - Prob. 25ECh. P.7 - Prob. 26ECh. P.7 - Prob. 27ECh. P.7 - Evaluating a Step Function In Exercises 27-30,...Ch. P.7 - Evaluating a Step Function In Exercises 27-30,...Ch. P.7 - Prob. 30ECh. P.7 - Prob. 31ECh. P.7 - Prob. 32ECh. P.7 - Prob. 33ECh. P.7 - Prob. 34ECh. P.7 - Prob. 35ECh. P.7 - Prob. 36ECh. P.7 - Prob. 37ECh. P.7 - Prob. 38ECh. P.7 - Prob. 39ECh. P.7 - Prob. 40ECh. P.7 - Prob. 41ECh. P.7 - Prob. 42ECh. P.7 - Prob. 43ECh. P.7 - Prob. 44ECh. P.7 - Fluid Flow The intake pipe of a 100-gallon tank...Ch. P.7 - Prob. 46ECh. P.7 - Prob. 47ECh. P.7 - HOW DO YOU SEE IT? For each graph of f shown...Ch. P.7 - Prob. 49ECh. P.7 - Prob. 50ECh. P.8 - Use the graph of fx=x3 to sketch the graph of each...Ch. P.8 - Prob. 2ECPCh. P.8 - Prob. 3ECPCh. P.8 - Prob. 4ECPCh. P.8 - Prob. 5ECPCh. P.8 - Prob. 1ECh. P.8 - Prob. 2ECh. P.8 - Prob. 3ECh. P.8 - Prob. 4ECh. P.8 - Prob. 5ECh. P.8 - Prob. 6ECh. P.8 - Prob. 7ECh. P.8 - Shifting the Graph of a Function For each...Ch. P.8 - Prob. 9ECh. P.8 - Prob. 10ECh. P.8 - Prob. 11ECh. P.8 - Writing Equations from Graphs Use the graph of...Ch. P.8 - Prob. 13ECh. P.8 - Prob. 14ECh. P.8 - Prob. 15ECh. P.8 - Prob. 16ECh. P.8 - Prob. 17ECh. P.8 - Writing Equations from Graphs In Exercises 15-20,...Ch. P.8 - Prob. 19ECh. P.8 - Prob. 20ECh. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Prob. 22ECh. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Prob. 26ECh. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Prob. 28ECh. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Prob. 32ECh. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Prob. 34ECh. P.8 - Describing Transformations In Exercises 21-38, g...Ch. P.8 - Prob. 36ECh. P.8 - Prob. 37ECh. P.8 - Prob. 38ECh. P.8 - Prob. 39ECh. P.8 - Prob. 40ECh. P.8 - Prob. 41ECh. P.8 - Prob. 42ECh. P.8 - Prob. 43ECh. P.8 - Prob. 44ECh. P.8 - Prob. 45ECh. P.8 - Prob. 46ECh. P.8 - Prob. 47ECh. P.8 - Prob. 48ECh. P.8 - Prob. 49ECh. P.8 - Prob. 50ECh. P.8 - Prob. 51ECh. P.8 - Prob. 52ECh. P.8 - Prob. 53ECh. P.8 - Prob. 54ECh. P.8 - Prob. 55ECh. P.8 - Prob. 56ECh. P.8 - Prob. 57ECh. P.8 - Prob. 58ECh. P.8 - Prob. 59ECh. P.8 - Prob. 60ECh. P.8 - Automobile Aerodynamics The horsepower H required...Ch. P.8 - Households The number N (in millions) of...Ch. P.8 - Prob. 63ECh. P.8 - Prob. 64ECh. P.8 - Prob. 65ECh. P.8 - Prob. 66ECh. P.8 - Prob. 67ECh. P.8 - Prob. 68ECh. P.8 - Error Analysis Describe the error. The graph of g...Ch. P.8 - Prob. 70ECh. P.8 - Prob. 71ECh. P.8 - Prob. 72ECh. P.9 - Given fx=x2 and gx=1x, find f+gx. Then evaluate...Ch. P.9 - Prob. 2ECPCh. P.9 - Prob. 3ECPCh. P.9 - Prob. 4ECPCh. P.9 - Prob. 5ECPCh. P.9 - Prob. 6ECPCh. P.9 - Prob. 7ECPCh. P.9 - The number N of bacteria in a refrigerated food is...Ch. P.9 - Prob. 1ECh. P.9 - Prob. 2ECh. P.9 - Prob. 3ECh. P.9 - Prob. 4ECh. P.9 - Prob. 5ECh. P.9 - Prob. 6ECh. P.9 - Prob. 7ECh. P.9 - Prob. 8ECh. P.9 - Prob. 9ECh. P.9 - Finding Arithmetic Combinations of Functions In...Ch. P.9 - Prob. 11ECh. P.9 - Prob. 12ECh. P.9 - Prob. 13ECh. P.9 - Prob. 14ECh. P.9 - Prob. 15ECh. P.9 - Prob. 16ECh. P.9 - Prob. 17ECh. P.9 - Evaluating an Arithmetic Combination of Functions...Ch. P.9 - Prob. 19ECh. P.9 - Prob. 20ECh. P.9 - Prob. 21ECh. P.9 - Prob. 22ECh. P.9 - Prob. 23ECh. P.9 - Prob. 24ECh. P.9 - Prob. 25ECh. P.9 - Prob. 26ECh. P.9 - Prob. 27ECh. P.9 - Prob. 28ECh. P.9 - Finding Compositions of Functions In Exercises...Ch. P.9 - Finding Compositions of Functions In Exercises...Ch. P.9 - Prob. 31ECh. P.9 - Prob. 32ECh. P.9 - Prob. 33ECh. P.9 - Finding Compositions of Functions In Exercises...Ch. P.9 - Prob. 35ECh. P.9 - Prob. 36ECh. P.9 - Finding Domains of Functions and Composite...Ch. P.9 - Finding Domains of Functions and Composite...Ch. P.9 - Prob. 39ECh. P.9 - Prob. 40ECh. P.9 - Prob. 41ECh. P.9 - Prob. 42ECh. P.9 - Graphing Combinations of Functions In Exercises 43...Ch. P.9 - Graphing Combinations of Functions In Exercises 43...Ch. P.9 - Prob. 45ECh. P.9 - Prob. 46ECh. P.9 - Evaluating Combinations of Functions In Exercises...Ch. P.9 - Prob. 48ECh. P.9 - Prob. 49ECh. P.9 - Prob. 50ECh. P.9 - Prob. 51ECh. P.9 - Prob. 52ECh. P.9 - Prob. 53ECh. P.9 - Prob. 54ECh. P.9 - Prob. 55ECh. P.9 - Prob. 56ECh. P.9 - Prob. 57ECh. P.9 - Business The annual cost C (in thousands of...Ch. P.9 - Vital Statistics Let bt be the number of births in...Ch. P.9 - Pets Let dt be the number of dogs in the United...Ch. P.9 - Prob. 61ECh. P.9 - Biology The number N of bacteria in a refrigerated...Ch. P.9 - Prob. 63ECh. P.9 - Consumer Awareness The suggested retail price of a...Ch. P.9 - True or False? In Exercises 65 and 66, determine...Ch. P.9 - True or False? In Exercises 65 and 66, determine...Ch. P.9 - Prob. 67ECh. P.9 - Prob. 68ECh. P.9 - Prob. 69ECh. P.9 - Prob. 70ECh. P.9 - Writing Functions Write two unique functions f and...Ch. P.9 - Prob. 72ECh. P.9 - Prob. 73ECh. P.10 - Prob. 1ECPCh. P.10 - Prob. 2ECPCh. P.10 - Prob. 3ECPCh. P.10 - Prob. 4ECPCh. P.10 - Prob. 5ECPCh. P.10 - Prob. 6ECPCh. P.10 - Prob. 7ECPCh. P.10 - Prob. 1ECh. P.10 - Prob. 2ECh. P.10 - Prob. 3ECh. P.10 - Prob. 4ECh. P.10 - Prob. 5ECh. P.10 - Prob. 6ECh. P.10 - Prob. 7ECh. P.10 - Prob. 8ECh. P.10 - Prob. 9ECh. P.10 - Finding an Inverse Function Informally In...Ch. P.10 - Prob. 11ECh. P.10 - Prob. 12ECh. P.10 - Prob. 13ECh. P.10 - Prob. 14ECh. P.10 - Prob. 15ECh. P.10 - Prob. 16ECh. P.10 - Prob. 17ECh. P.10 - Prob. 18ECh. P.10 - Prob. 19ECh. P.10 - Prob. 20ECh. P.10 - Prob. 21ECh. P.10 - Prob. 22ECh. P.10 - Prob. 23ECh. P.10 - Prob. 24ECh. P.10 - Prob. 25ECh. P.10 - Prob. 26ECh. P.10 - Prob. 27ECh. P.10 - Prob. 28ECh. P.10 - Prob. 29ECh. P.10 - Prob. 30ECh. P.10 - Prob. 31ECh. P.10 - Prob. 32ECh. P.10 - Prob. 33ECh. P.10 - Prob. 34ECh. P.10 - Prob. 35ECh. P.10 - Prob. 36ECh. P.10 - Prob. 37ECh. P.10 - Prob. 38ECh. P.10 - Prob. 39ECh. P.10 - Prob. 40ECh. P.10 - Prob. 41ECh. P.10 - Prob. 42ECh. P.10 - Prob. 43ECh. P.10 - Prob. 44ECh. P.10 - Prob. 45ECh. P.10 - Prob. 46ECh. P.10 - Prob. 47ECh. P.10 - Prob. 48ECh. P.10 - Prob. 49ECh. P.10 - Prob. 50ECh. P.10 - Prob. 51ECh. P.10 - Prob. 52ECh. P.10 - Prob. 53ECh. P.10 - Prob. 54ECh. P.10 - Prob. 55ECh. P.10 - Prob. 56ECh. P.10 - Prob. 57ECh. P.10 - Finding an Inverse Function In Exercises 55-70,...Ch. P.10 - Prob. 59ECh. P.10 - Prob. 60ECh. P.10 - Prob. 61ECh. P.10 - Prob. 62ECh. P.10 - Prob. 63ECh. P.10 - Prob. 64ECh. P.10 - Prob. 65ECh. P.10 - Prob. 66ECh. P.10 - Prob. 67ECh. P.10 - Prob. 68ECh. P.10 - Prob. 69ECh. P.10 - Prob. 70ECh. P.10 - Prob. 71ECh. P.10 - Prob. 72ECh. P.10 - Prob. 73ECh. P.10 - Prob. 74ECh. P.10 - Prob. 75ECh. P.10 - Prob. 76ECh. P.10 - Prob. 77ECh. P.10 - Prob. 78ECh. P.10 - Prob. 79ECh. P.10 - Prob. 80ECh. P.10 - Prob. 81ECh. P.10 - Prob. 82ECh. P.10 - Prob. 83ECh. P.10 - Prob. 84ECh. P.10 - Prob. 85ECh. P.10 - Prob. 86ECh. P.10 - Prob. 87ECh. P.10 - Prob. 88ECh. P.10 - Hourly Wage Your wage is $10.00 per hour plus...Ch. P.10 - Prob. 90ECh. P.10 - Prob. 91ECh. P.10 - True or False? In Exercises 91 and 92, determine...Ch. P.10 - Prob. 93ECh. P.10 - Prob. 94ECh. P.10 - Prob. 95ECh. P.10 - Prob. 96ECh. P.10 - Prob. 97ECh. P.10 - Prob. 98ECh. P.10 - Prob. 99ECh. P.10 - HOW DO YOU SEE IT? The cost C for a business to...Ch. P.10 - Prob. 101ECh. P.10 - Prob. 102ECh. P - Prob. 1RECh. P - Prob. 2RECh. P - Prob. 3RECh. P - Prob. 4RECh. P - Prob. 5RECh. P - Prob. 6RECh. P - Prob. 7RECh. P - Using Absolute Value Notation In Exercises 7 and...Ch. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Prob. 28RECh. P - Prob. 29RECh. P - Prob. 30RECh. P - Prob. 31RECh. P - Prob. 32RECh. P - Prob. 33RECh. P - Prob. 34RECh. P - Prob. 35RECh. P - Prob. 36RECh. P - Prob. 37RECh. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Prob. 47RECh. P - Prob. 48RECh. P - Prob. 49RECh. P - Prob. 50RECh. P - Prob. 51RECh. P - Prob. 52RECh. P - Prob. 53RECh. P - Prob. 54RECh. P - Prob. 55RECh. P - Prob. 56RECh. P - Prob. 57RECh. P - Prob. 58RECh. P - Prob. 59RECh. P - Prob. 60RECh. P - Prob. 61RECh. P - Prob. 62RECh. P - Prob. 63RECh. P - Prob. 64RECh. P - Prob. 65RECh. P - Prob. 66RECh. P - Prob. 67RECh. P - Prob. 68RECh. P - Sales A discount outlet offers a 20 discount on...Ch. P - Prob. 70RECh. P - Prob. 71RECh. P - Prob. 72RECh. P - Prob. 73RECh. P - Prob. 74RECh. P - Prob. 75RECh. P - Evaluating a Function In Exercises 75 and 76, find...Ch. P - Prob. 77RECh. P - Prob. 78RECh. P - Prob. 79RECh. P - Prob. 80RECh. P - Prob. 81RECh. P - Prob. 82RECh. P - Prob. 83RECh. P - Finding the Zeros of a Function In Exercises 83...Ch. P - Prob. 85RECh. P - Prob. 86RECh. P - Prob. 87RECh. P - Prob. 88RECh. P - Prob. 89RECh. P - Average Rate of Change of a Function In Exercises...Ch. P - Prob. 91RECh. P - Prob. 92RECh. P - Prob. 93RECh. P - Prob. 94RECh. P - Prob. 95RECh. P - Prob. 96RECh. P - Graphing a Function In Exercises 97-100, sketch...Ch. P - Prob. 98RECh. P - Prob. 99RECh. P - Graphing a Function In Exercises 97-100, sketch...Ch. P - Describing Transformations In Exercises 101-110, h...Ch. P - Prob. 102RECh. P - Prob. 103RECh. P - Prob. 104RECh. P - Prob. 105RECh. P - Prob. 106RECh. P - Prob. 107RECh. P - Prob. 108RECh. P - Prob. 109RECh. P - Prob. 110RECh. P - Prob. 111RECh. P - Prob. 112RECh. P - Prob. 113RECh. P - Prob. 114RECh. P - Retail In Exercises 115 and 116, the price of a...Ch. P - Retail In Exercises 115 and 116, the price of a...Ch. P - Prob. 117RECh. P - Prob. 118RECh. P - Prob. 119RECh. P - Prob. 120RECh. P - Prob. 121RECh. P - Prob. 122RECh. P - Prob. 123RECh. P - Prob. 124RECh. P - Prob. 125RECh. P - Prob. 126RECh. P - Place the appropriate inequality symbol or between...Ch. P - Take this test as you would take a test in class....Ch. P - Prob. 3TCh. P - Prob. 4TCh. P - In Exercises 4-7, solve the equation and check...Ch. P - Prob. 6TCh. P - In Exercises 4-7, solve the equation and check...Ch. P - Prob. 8TCh. P - Prob. 9TCh. P - Exercises 9-11, find any intercepts and test for...Ch. P - Prob. 11TCh. P - Prob. 12TCh. P - In Exercises 13 and 14, find an equation of the...Ch. P - In Exercises 13 and 14, find an equation of the...Ch. P - Prob. 15TCh. P - Prob. 16TCh. P - In Exercises 17-19, (a) use a graphing utility to...Ch. P - In Exercises 17-19, (a) use a graphing utility to...Ch. P - In Exercises 17-19, (a) use a graphing utility to...Ch. P - In Exercises 20-22, (a) identify the parent...Ch. P - Prob. 21TCh. P - Prob. 22TCh. P - Prob. 23TCh. P - Prob. 24TCh. P - Prob. 25TCh. P - Prob. 26TCh. P - Prob. 27TCh. P - Prob. 1PSCh. P - Prob. 2PSCh. P - Prob. 3PSCh. P - Prob. 4PSCh. P - Prob. 5PSCh. P - Miniature Golf A golfer is trying to make a...Ch. P - Titanic At 2:00 p.m. on April 11, 1912, the...Ch. P - Prob. 8PSCh. P - Prob. 9PSCh. P - Prob. 10PSCh. P - Prob. 11PSCh. P - Prob. 12PSCh. P - Prob. 13PSCh. P - Prob. 14PSCh. P - Prob. 15PS
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- Converting Units There are 4 quarts in I gallon, 4 cups in I quart, and 16 tablespoons in I cup. (a) Write a function Q that converts x gallons to quarts. (b) Write a function C that converts x quarts to cups. (c) Write a function Tthat converts x cups to tablespoons. ( d) Express a function F that converts x gallons to tablespoons as a composition of three functions.arrow_forwardBoyle's Law 2 states that for a certain container we have P · V = 345 where P represents gas in a the pressure of the gas (in mmHG) and V represents the volume of the gas (in liters). a. If the pressure of the gas is 225 mmHG, what is the volume of the gas? liters Preview b. Write a function f that determines the volume of the gas (in liters) in terms of the pressure of the gas in mmHG, P. f(P) Preview c. Complete the following statement. (Hint: if f(P) increases without bound, enter "oo". If f(P) decreases without bound, enter "-oo".) As P → 0*, f(P) → Previewarrow_forwardBoyle's Law 2 states that for a certain gas in a container we have P. V = 350 where P represents the pressure of the gas (in mmHG) and V represents the volume of the gas (in liters). a. If the pressure of the gas is 240 mmHG, what is the volume of the gas? liters Preview b. Write a function f that determines the volume of the gas (in liters) in terms of the pressure of the gas in mmHG, P. f(P) Preview c. Complete the following statement. (Hint: if f(P) increases without bound, enter "oo". If f(P) decreases without bound, enter "- o0".) As P → 0*, f(P) → Previewarrow_forward
- In retail sales, an important marker of retail activity is the stock turnover at retail. This figure is calculated for a specific period of time as the total net sales divided by the retail value of the average stock during that time, where both are measured in dollars. As a formula, this is expressed as follows. Net sales Stock turnover = Average stock at retail This formula expresses stock turnover as a function of net sales and average stock at retail. (a) Suppose that your store had net sales of $681,000 in men's shoes over the past six months and that the retail value of the average stock of men's shoes was $124,000. What was the stock turnover at retail for that time period? (Round your answer to two decimal places.) (b) Suppose that in a certain month your store's net sales of women's dresses were $88,000 and that the usual stock turnover at retail is 0.5 per month. What do you estimate to be your store's average stock at retail? (Round your answer to the nearest dollar.) $ (c)…arrow_forwardIn the language of functions, all of the following are true except one. Identify the false statement. The phrase DEPENDENT VARIABLE means output. The phrase INDEPENDENT VARIABLE means input The input is determined by the output The dependent variable (output) is a function of the independent variable (input).arrow_forwardSubject: calculusarrow_forward
- Mr. Ackerman likes to play basketball. He scores 20 points in each game he plays. His total points scored, p, is a function of the number of games played, g. PART A: Identify the independent and dependent variables Independent variable:_________________________________________ Dependent variable:__________________________________________ PART B: Fill in the function table to represent this situation. # of games played total points 1 4 100 7 280 PART C: Write a function rule to represent the total points scored. Then, show all work to determine the number of points scored in 9 games. Function Rule:____________________________________ Total points in 9 games:___________________________arrow_forwardPlease solve A&Barrow_forward
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