INTEGRATED REV.F/BEG.+INT.ALG.W/ACC.>C<
18th Edition
ISBN: 9781323910528
Author: Lial
Publisher: PEARSON C
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Textbook Question
Chapter 12.4, Problem 35E
Use properties of logarithms to write each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. See Examples 1–4.
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Chapter 12 Solutions
INTEGRATED REV.F/BEG.+INT.ALG.W/ACC.>C<
Ch. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - If the function is one-to-one, find its inverse....
Ch. 12.1 - If the function is one-to-one, find its inverse....Ch. 12.1 - If the function is one-to-one, find its inverse....Ch. 12.1 - If the function is one-to-one, find its inverse....Ch. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Prob. 20ECh. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Prob. 23ECh. 12.1 - Prob. 24ECh. 12.1 - Each function is one-to-one. Find its inverse. See...Ch. 12.1 - Each function is one-to-one. Find its inverse. See...Ch. 12.1 - Each function is one-to-one. Find its inverse. See...Ch. 12.1 - Each function is one-to-one. Find its inverse. See...Ch. 12.1 - Each function is one-to-one. Find its inverse. See...Ch. 12.1 - Each function is one-to-one. Find its inverse. See...Ch. 12.1 - Concept Check Let f(x)=2x. We will see in the next...Ch. 12.1 - Concept Check Let . We will see in the next...Ch. 12.1 - Concept Check Let . We will see in the next...Ch. 12.1 - Concept Check Let f(x)=2x. We will see in the next...Ch. 12.1 - The graphs of some functions are given in...Ch. 12.1 - Prob. 36ECh. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.1 - Prob. 44ECh. 12.1 - Prob. 45ECh. 12.1 - Each function in Exercises 41–48 is one-to-one....Ch. 12.1 - Prob. 47ECh. 12.1 - Prob. 48ECh. 12.1 - Prob. 49ECh. 12.1 - Work Exercises 4952 in order. You receive the...Ch. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Prob. 10ECh. 12.2 - Prob. 11ECh. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Prob. 20ECh. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - Solve each equation. See Examples 5 and 6.
27.
Ch. 12.2 - Solve each equation. See Examples 5 and 6.
28.
Ch. 12.2 - Solve each equation. See Examples 5 and 6....Ch. 12.2 - Solve each equation. See Examples 5 and 6. 8x=4Ch. 12.2 - Solve each equation. See Examples 5 and 6....Ch. 12.2 - Solve each equation. See Examples 5 and 6....Ch. 12.2 - Solve each equation. See Examples 5 and 6. 5x=1125Ch. 12.2 - Solve each equation. See Examples 5 and 6. 3x=181Ch. 12.2 - Solve each equation. See Examples 5 and 6.
35.
Ch. 12.2 - Solve each equation. See Examples 5 and 6. 10x=0.1Ch. 12.2 - Solve each equation. See Examples 5 and 6.
37.
Ch. 12.2 - Prob. 38ECh. 12.2 - The amount of radioactive material in an ore...Ch. 12.2 - Prob. 40ECh. 12.2 - Prob. 41ECh. 12.2 - The amount of radioactive material in an ore...Ch. 12.2 - Prob. 43ECh. 12.2 - Prob. 44ECh. 12.2 - Prob. 45ECh. 12.2 - Prob. 46ECh. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.2 - Prob. 49ECh. 12.2 - Prob. 50ECh. 12.3 - Prob. 1ECh. 12.3 - Prob. 2ECh. 12.3 - 3. Concept Check The domain of is while the range...Ch. 12.3 - Prob. 4ECh. 12.3 - Write in logarithmic form. See Example 1. 45=1024Ch. 12.3 - Write in logarithmic form. See Example 1. 36=729Ch. 12.3 - Write in logarithmic form. See Example 1.
7.
Ch. 12.3 - Write in logarithmic form. See Example 1....Ch. 12.3 - Write in logarithmic form. See Example 1....Ch. 12.3 - Write in logarithmic form. See Example 1.
10.
Ch. 12.3 - Prob. 11ECh. 12.3 - Write in logarithmic form. See Example 1. 3433=7Ch. 12.3 - Write in logarithmic form. See Example 1. 82/3=14Ch. 12.3 - Prob. 14ECh. 12.3 - Write in logarithmic form. See Example 1. 50=1Ch. 12.3 - Write in logarithmic form. See Example 1. 70=1Ch. 12.3 - Prob. 17ECh. 12.3 - Write in exponential form. See Example 1....Ch. 12.3 - Write in exponential form. See Example 1.
19.
Ch. 12.3 - Prob. 20ECh. 12.3 - Write in exponential form. See Example 1. log61=0Ch. 12.3 - Write in exponential form. See Example 1. log1=0Ch. 12.3 - Prob. 23ECh. 12.3 - Write in exponential form. See Example 1.
24.
Ch. 12.3 - Write in exponential form. See Example 1.
25.
Ch. 12.3 - Write in exponential form. See Example 1.
26.
Ch. 12.3 - Prob. 27ECh. 12.3 - Write in exponential form. See Example 1....Ch. 12.3 - Concept Check Match each logarithm in Column I...Ch. 12.3 - Prob. 30ECh. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - Prob. 34ECh. 12.3 - Prob. 35ECh. 12.3 - Prob. 36ECh. 12.3 - Prob. 37ECh. 12.3 - Prob. 38ECh. 12.3 - Prob. 39ECh. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Prob. 42ECh. 12.3 - Solve each equation. See Example 3. x=log273Ch. 12.3 - Solve each equation. See Example 3.
44.
Ch. 12.3 - Prob. 45ECh. 12.3 - Solve each equation. See Example 3. logx5=12Ch. 12.3 - Prob. 47ECh. 12.3 - Solve each equation. See Example 3.
48.
Ch. 12.3 - Solve each equation. See Example 3.
49.
Ch. 12.3 - Prob. 50ECh. 12.3 - Solve each equation. See Example 3.
51.
Ch. 12.3 - Prob. 52ECh. 12.3 - Solve each equation. See Example 3. logx125=2Ch. 12.3 - Prob. 54ECh. 12.3 - Solve each equation. See Example 3. log832=xCh. 12.3 - Prob. 56ECh. 12.3 - Solve each equation. See Example 3. log4=xCh. 12.3 - Prob. 58ECh. 12.3 - Solve each equation. See Example 3.
59.
Ch. 12.3 - Prob. 60ECh. 12.3 - Solve each equation. See Example 3. log4(2x+4)=3Ch. 12.3 - Solve each equation. See Example 3.
62.
Ch. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 65ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 68ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 70ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 72ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 74ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 78ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Prob. 80ECh. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - Use the special properties of logarithms to...Ch. 12.3 - If is on the graph of (for and), then is on the...Ch. 12.3 - Prob. 84ECh. 12.3 - Prob. 85ECh. 12.3 - Prob. 86ECh. 12.3 - Prob. 87ECh. 12.3 - Prob. 88ECh. 12.3 - Prob. 89ECh. 12.3 - Prob. 90ECh. 12.3 - Prob. 91ECh. 12.3 - Prob. 92ECh. 12.3 - Prob. 93ECh. 12.3 - Prob. 94ECh. 12.3 - Prob. 95ECh. 12.3 - Solve each problem. See Example 7.
96. A study...Ch. 12.3 - Prob. 97ECh. 12.3 - The Richter scale is used to measure the intensity...Ch. 12.4 - Concept Check Decide whether each statement of a...Ch. 12.4 - Concept Check Decide whether each statement of a...Ch. 12.4 - Concept Check Decide whether each statement of a...Ch. 12.4 - Prob. 4ECh. 12.4 - 5. Concept Check A student erroneously wrote. When...Ch. 12.4 - Prob. 6ECh. 12.4 - Use the indicated rule of logarithms to complete...Ch. 12.4 - Prob. 8ECh. 12.4 - Use the indicated rule of logarithms to complete...Ch. 12.4 - Use the indicated rule of logarithms to complete...Ch. 12.4 - Use the indicated rule of logarithms to complete...Ch. 12.4 - Use the indicated rule of logarithms to complete...Ch. 12.4 - Prob. 13ECh. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Use properties of logarithms to express each...Ch. 12.4 - Prob. 24ECh. 12.4 - Use properties of logarithms to write each...Ch. 12.4 - Prob. 26ECh. 12.4 - Use properties of logarithms to write each...Ch. 12.4 - Prob. 28ECh. 12.4 - Use properties of logarithms to write each...Ch. 12.4 - Prob. 30ECh. 12.4 - Use properties of logarithms to write each...Ch. 12.4 - Prob. 32ECh. 12.4 - Use properties of logarithms to write each...Ch. 12.4 - Prob. 34ECh. 12.4 - Use properties of logarithms to write each...Ch. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.4 - Prob. 44ECh. 12.4 - Prob. 45ECh. 12.4 - Prob. 46ECh. 12.4 - Prob. 47ECh. 12.4 - Prob. 48ECh. 12.4 - Prob. 49ECh. 12.4 - Prob. 50ECh. 12.4 - Prob. 51ECh. 12.4 - Decide whether each statement is true or false....Ch. 12.4 - Prob. 53ECh. 12.4 - Decide whether each statement is true or false....Ch. 12.4 - Decide whether each statement is true or false....Ch. 12.4 - Decide whether each statement is true or false....Ch. 12.5 - Concept Check Choose the correct response.
1. What...Ch. 12.5 - Prob. 2ECh. 12.5 - Concept Check Choose the correct response. Given...Ch. 12.5 - Concept Check Choose the correct response. Given...Ch. 12.5 - Prob. 5ECh. 12.5 - Prob. 6ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 8ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 10ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 12ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 16ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 22ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 24ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 29ECh. 12.5 - You will need a calculator for most of the...Ch. 12.5 - Prob. 31ECh. 12.5 - Concept Check Let k represent the number of...Ch. 12.5 - Prob. 33ECh. 12.5 - Suppose that water from a wetland area is sampled...Ch. 12.5 - Prob. 35ECh. 12.5 - Suppose that water from a wetland area is sampled...Ch. 12.5 - Suppose that water from a wetland area is sampled...Ch. 12.5 - Suppose that water from a wetland area is sampled...Ch. 12.5 - Find the pH of the substance with the given...Ch. 12.5 - Find the pH of the substance with the given...Ch. 12.5 - Find the pH of the substance with the given...Ch. 12.5 - Prob. 42ECh. 12.5 - Find the hydronium ion concentration of the...Ch. 12.5 - Prob. 44ECh. 12.5 - Find the hydronium ion concentration of the...Ch. 12.5 - Prob. 46ECh. 12.5 - Solve each problem. See Examples 4 and...Ch. 12.5 - Prob. 48ECh. 12.5 - Solve each problem. See Examples 4 and 6. The...Ch. 12.5 - Prob. 50ECh. 12.5 - Prob. 51ECh. 12.5 - Solve each problem. See Examples 4 and 6.
52. In...Ch. 12.5 - Prob. 53ECh. 12.5 - Solve each problem. See Examples 4 and 6.
54. The...Ch. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Prob. 56ECh. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Prob. 58ECh. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Prob. 60ECh. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Prob. 62ECh. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Prob. 64ECh. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Use the change-of-base rule (with either common or...Ch. 12.5 - Prob. 67ECh. 12.5 - Prob. 68ECh. 12.6 - Prob. 1ECh. 12.6 - Prob. 2ECh. 12.6 - Prob. 3ECh. 12.6 - Prob. 4ECh. 12.6 - Solve each equation. Approximate solutions to...Ch. 12.6 - Prob. 6ECh. 12.6 - Solve each equation. Approximate solutions to...Ch. 12.6 - Prob. 8ECh. 12.6 - Solve each equation. Approximate solutions to...Ch. 12.6 - Solve each equation. Approximate solutions to...Ch. 12.6 - Prob. 11ECh. 12.6 - Solve each equation. Approximate solutions to...Ch. 12.6 - Prob. 13ECh. 12.6 - Solve each equation. Approximate solutions to...Ch. 12.6 - Prob. 15ECh. 12.6 - Prob. 16ECh. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Prob. 21ECh. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Prob. 24ECh. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Solve each equation. Use natural logarithms. When...Ch. 12.6 - Prob. 27ECh. 12.6 - Prob. 28ECh. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Prob. 31ECh. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Prob. 33ECh. 12.6 - Prob. 34ECh. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Prob. 36ECh. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Prob. 39ECh. 12.6 - Concept Check Suppose that in solving a...Ch. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Prob. 42ECh. 12.6 - Solve each equation. Give exact solutions. See...Ch. 12.6 - Prob. 44ECh. 12.6 - Prob. 45ECh. 12.6 - Prob. 46ECh. 12.6 - Prob. 47ECh. 12.6 - Prob. 48ECh. 12.6 - Prob. 49ECh. 12.6 - Prob. 50ECh. 12.6 - Prob. 51ECh. 12.6 - Prob. 52ECh. 12.6 - Prob. 53ECh. 12.6 - Solve each problem. See Examples 810. How much...Ch. 12.6 - Prob. 55ECh. 12.6 - Prob. 56ECh. 12.6 - Prob. 57ECh. 12.6 - Solve each problem. See Examples 8–10.
58. Find...Ch. 12.6 - Prob. 59ECh. 12.6 - Prob. 60ECh. 12.6 - Prob. 61ECh. 12.6 - Prob. 62ECh. 12.6 - Prob. 63ECh. 12.6 - Prob. 64ECh. 12.6 - Prob. 65ECh. 12.6 - Prob. 66ECh. 12 - Prob. 1TYWPCh. 12 - Prob. 2TYWPCh. 12 - Prob. 3TYWPCh. 12 - Prob. 4TYWPCh. 12 - Prob. 5TYWPCh. 12 - See how well you have learned the vocabulary in...Ch. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 15RECh. 12 - Prob. 16RECh. 12 - Prob. 17RECh. 12 - Prob. 18RECh. 12 - Prob. 19RECh. 12 - 12.3 Use a calculator to approximate each...Ch. 12 - Prob. 21RECh. 12 - Prob. 22RECh. 12 - Prob. 23RECh. 12 - Prob. 24RECh. 12 - Prob. 25RECh. 12 - Prob. 26RECh. 12 - Prob. 27RECh. 12 - Prob. 28RECh. 12 - Prob. 29RECh. 12 - Prob. 30RECh. 12 - A company has found that total sales, in thousands...Ch. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Prob. 36RECh. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Find the pH of each substance with the given...Ch. 12 - 45. If orange juice has pH 4.6, what is its...Ch. 12 - Prob. 46RECh. 12 - Prob. 47RECh. 12 - Prob. 48RECh. 12 - Prob. 49RECh. 12 - Prob. 50RECh. 12 - Prob. 51RECh. 12 - Prob. 52RECh. 12 - Prob. 53RECh. 12 - Prob. 54RECh. 12 - Prob. 55RECh. 12 - Prob. 56RECh. 12 - Prob. 57RECh. 12 - Prob. 58RECh. 12 - Prob. 59RECh. 12 - Prob. 60RECh. 12 - Prob. 61RECh. 12 - Prob. 62RECh. 12 - Prob. 63RECh. 12 - Prob. 64RECh. 12 - Prob. 1MRECh. 12 - Prob. 2MRECh. 12 - Prob. 3MRECh. 12 - Prob. 4MRECh. 12 - Prob. 5MRECh. 12 - Prob. 6MRECh. 12 - Solve each equation. log3(x+9)=4Ch. 12 - Prob. 8MRECh. 12 - Prob. 9MRECh. 12 - Prob. 10MRECh. 12 - Prob. 11MRECh. 12 - Prob. 12MRECh. 12 - Prob. 13MRECh. 12 - Prob. 14MRECh. 12 - Prob. 15MRECh. 12 - Prob. 16MRECh. 12 - Prob. 17MRECh. 12 - Prob. 18MRECh. 12 - Prob. 19MRECh. 12 - Prob. 20MRECh. 12 - Prob. 1TCh. 12 - Prob. 2TCh. 12 - Prob. 3TCh. 12 - Prob. 4TCh. 12 - Prob. 5TCh. 12 - Prob. 6TCh. 12 - Prob. 7TCh. 12 - Prob. 8TCh. 12 - Prob. 9TCh. 12 - Prob. 10TCh. 12 - Prob. 11TCh. 12 - Prob. 12TCh. 12 - Prob. 13TCh. 12 - Prob. 14TCh. 12 - Prob. 15TCh. 12 - Solve each equation. logx16=4Ch. 12 - Prob. 17TCh. 12 - Prob. 18TCh. 12 - Prob. 19TCh. 12 - Prob. 20TCh. 12 - Prob. 21TCh. 12 - Prob. 22TCh. 12 - Prob. 23TCh. 12 - Prob. 24TCh. 12 - Prob. 25TCh. 12 - Prob. 26TCh. 12 - Prob. 27TCh. 12 - Prob. 28TCh. 12 - Prob. 1CRECh. 12 - Prob. 2CRECh. 12 - Prob. 3CRECh. 12 - Prob. 4CRECh. 12 - Prob. 5CRECh. 12 - Prob. 6CRECh. 12 - Prob. 7CRECh. 12 - Prob. 8CRECh. 12 - Prob. 9CRECh. 12 - Prob. 10CRECh. 12 - Prob. 11CRECh. 12 - Prob. 12CRECh. 12 - Prob. 13CRECh. 12 - Prob. 14CRECh. 12 - Prob. 15CRECh. 12 - Prob. 16CRECh. 12 - Prob. 17CRECh. 12 - Prob. 18CRECh. 12 - Prob. 19CRECh. 12 - Prob. 20CRECh. 12 - Prob. 21CRECh. 12 - Prob. 22CRECh. 12 - Prob. 23CRECh. 12 - Prob. 24CRECh. 12 - Prob. 25CRECh. 12 - Prob. 26CRECh. 12 - Prob. 27CRECh. 12 - Prob. 28CRECh. 12 - Prob. 29CRECh. 12 - Prob. 30CRECh. 12 - Prob. 31CRECh. 12 - Prob. 32CRECh. 12 - Prob. 33CRECh. 12 - Prob. 34CRECh. 12 - Prob. 35CRECh. 12 - Prob. 36CRECh. 12 - Prob. 37CRECh. 12 - Prob. 38CRECh. 12 - Prob. 39CRECh. 12 - Prob. 40CRECh. 12 - Prob. 41CRECh. 12 - Prob. 42CRE
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- For the spinner below, assume that the pointer can never lie on a borderline. Find the following probabilities. (enter the probabilities as fractions)arrow_forwardQuestions 1. Identify and describe potential bias in the study. 2. Identify and describe the way in which the selected participants may or may not represent the population as a whole. 3. Identify and describe the possible problems with the end results since the majority will be from females rather than an even split. 4. Identify and describe the possible problems with identifying females as possibly more vulnerable based on the data collected. 5. Identify a possible null hypothesis and problems in how the study might address this null hypothesis. 6. Identify one possible method of improving the study design and describe how it would improve the validity of the conclusions. 7. Identify a second possible method of improving the study design and describe how it would improve the validity of the conclusions.arrow_forwardThe Course Name Real Analysis please Solve questions by Real Analysisarrow_forward
- part 3 of the question is: A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forward2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? (b) What is the position of that passenger when the ride ends?arrow_forward3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forward
- A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward1. Graph the function f(x)=sin(x) −2¸ Answer: y -2π 一元 1 −1 -2 -3 -4+ 元 2πarrow_forward
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