Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter 9, Problem 16RP
To determine
In 2050, whether the Indonesia will predict to have the first, second, third, fourth, or fifth largest population.
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19) Consider this initial value problem:
y' + y = 2y = -21² + 2t+ 14, y(0) = 0, y (0) = 0
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8y +30y+25y = 0, y(0) = -2, y (0) = 8
What is the t-coordinate of the local extreme value of y = y(t) on the interval (0, ∞)? Enter your
answer as a decimal accurate to three decimal places.
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Chapter 9 Solutions
Prealgebra (6th Edition)
Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Population Density Use this pictograph to answer...Ch. 9.1 - Prob. 8ECh. 9.1 - Population Density Use this pictograph to answer...Ch. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - Household Expenses The average household expenses...Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Emergency Room Visits In the United States...Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Monthly Precipitation The comparison line graph...Ch. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Fat and Carbohydrates Use the table to make a...Ch. 9.1 - Life Insurance Use the information in the table to...Ch. 9.1 - Life Insurance Use the information in the table to...Ch. 9.1 - Mobile Device Accessories Use the information in...Ch. 9.1 - Mobile Device Accessories Use the information in...Ch. 9.1 - Sport Event Tickets Use the circle graph for...Ch. 9.1 - Perform the operation indicated. [6.1.4]...Ch. 9.1 - Prob. 53ECh. 9.1 - Perform the operation indicated. [6.4.2] Factor....Ch. 9.1 - Use the information in the table for exercises...Ch. 9.1 - Refer to the circle graph in exercise 51 to answer...Ch. 9.1 - Use the information in the table to construct a...Ch. 9.1 - Concept Check The college administration is...Ch. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Sales Record The double-bar graph shows the number...Ch. 9.2 - Baseball The captain of the college baseball team...Ch. 9.2 - Bowling The captain of the college bowling team...Ch. 9.2 - Prob. 15ECh. 9.2 - Gasoline Mileage Cindy and Andrea traveled to...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Cell Phone Usage The numbers of cell phone minutes...Ch. 9.2 - Swimmers' Ages The ages of 10 people swimming laps...Ch. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Find the median value. Actors in a Play The...Ch. 9.2 - Find the median value. Football Injuries The...Ch. 9.2 - Prob. 33ECh. 9.2 - Find the mode. 86, 84, 86, 87, 84, 83, 90Ch. 9.2 - Prob. 35ECh. 9.2 - Find the mode. 144, 143, 140, 141, 149, 144, 141,...Ch. 9.2 - Prob. 37ECh. 9.2 - TVs Sold The last six flat-screen television sets...Ch. 9.2 - Find the mean, median, and mode for each set of...Ch. 9.2 - Prob. 40ECh. 9.2 - Find the mean, median, and mode for each set of...Ch. 9.2 - Find the mean, median, and mode for each set of...Ch. 9.2 - Study Time Dawn studies and completes homework for...Ch. 9.2 - Restaurant Ratings Sara's Seafood Place received...Ch. 9.2 - Use the table for exercises 45 and 46. Round to...Ch. 9.2 - Use the table for exercises 45 and 46. Round to...Ch. 9.2 - Monthly Salaries A local travel office has 10...Ch. 9.2 - Track Meet A college track star ran the 100-meter...Ch. 9.2 - Prob. 49ECh. 9.2 - Find the median value. 15.276; 21.375; 18.90;...Ch. 9.2 - Evaluate. [2.6.2] x2+4forx=26Ch. 9.2 - Evaluate. [2.6.2] 35x-9forx=7Ch. 9.2 - Evaluate. [2.6.2] 2x+1forx=5Ch. 9.2 - Evaluate. [2.6.2] 3x7forx=0Ch. 9.2 - [5.1.3]Roofing Cost Wesley is putting a new roof...Ch. 9.2 - [2.3.3]Mountain Altitude The highest mountain in...Ch. 9.2 - Find the average or mean quiz score for Jake if he...Ch. 9.2 - Find the median of each of the following. a. 17,...Ch. 9.2 - Find the mode of each of the following. a. Sara...Ch. 9.3 - Describe in words the directions you move on the...Ch. 9.3 - Describe in words the directions you move on the...Ch. 9.3 - Online Orders Use the line graph to answer...Ch. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 9ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 11ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 13ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 15ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 18ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 21ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Give the coordinates of each point. KCh. 9.3 - Prob. 24ECh. 9.3 - Give the coordinates of each point. MCh. 9.3 - Prob. 26ECh. 9.3 - Give the coordinates of each point. OCh. 9.3 - Give the coordinates of each point. PCh. 9.3 - Give the coordinates of each point. QCh. 9.3 - Prob. 30ECh. 9.3 - Give the coordinates of each point. SCh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Give the coordinates of each point. VCh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Plot and label the ordered pairs on a rectangular...Ch. 9.3 - Prob. 2QQCh. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Concept Check Line M passes through the points...Ch. 9.4 - Prob. 1ECh. 9.4 - Is (1,3) a solution to 2x+y=5? Why or why not?Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Prob. 14ECh. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Prob. 23ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 30ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 32ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 1QQCh. 9.4 - Prob. 2QQCh. 9.4 - Prob. 3QQCh. 9.4 - Prob. 4QQCh. 9 - Course Enrollment Use this pictograph to answer...Ch. 9 - Course Enrollment Use this pictograph to answer...Ch. 9 - Prob. 3RPCh. 9 - Course Enrollment Use this pictograph to answer...Ch. 9 - Prob. 5RPCh. 9 - Prob. 6RPCh. 9 - Household Budget Nancy and Wally Worzowski's...Ch. 9 - Prob. 8RPCh. 9 - Prob. 9RPCh. 9 - Household Budget Nancy and Wally Worzowski's...Ch. 9 - Prob. 11RPCh. 9 - Household Budget Nancy and Wally Worzowski's...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Prob. 16RPCh. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Prob. 20RPCh. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Circus Souvenir Use the information in the table...Ch. 9 - Prob. 30RPCh. 9 - Prob. 31RPCh. 9 - Bus Rides Use the information in the table to...Ch. 9 - Prob. 33RPCh. 9 - Find the median value. Student Enrollment The...Ch. 9 - Prob. 35RPCh. 9 - Find the median value. Pizza Delivery The numbers...Ch. 9 - Find the mean (average). Temperature Readings The...Ch. 9 - Find the mean (average). Groceries Purchased The...Ch. 9 - Find the mean (average). Textbooks Purchased The...Ch. 9 - Prob. 40RPCh. 9 - Find the mode. 22, 13, 18, 14, 13, 19Ch. 9 - Find the mode. 18, 14, 28, 18, 29, 18, 14Ch. 9 - Prob. 43RPCh. 9 - Prob. 44RPCh. 9 - Plot and label each point on the rectangular...Ch. 9 - Plot and label each point on the rectangular...Ch. 9 - Plot and label each point on the rectangular...Ch. 9 - Plot and label each point on the rectangular...Ch. 9 - Give the coordinates of each point. RCh. 9 - Give the coordinates of each point. SCh. 9 - Give the coordinates of each point. TCh. 9 - Give the coordinates of each point. UCh. 9 - Plot the points corresponding to the ordered pairs...Ch. 9 - Prob. 54RPCh. 9 - Prob. 55RPCh. 9 - List three ordered pairs that are solutions to the...Ch. 9 - Typing Speed The secretary for the JM law offices...Ch. 9 - Prob. 58RPCh. 9 - Fill in the ordered pairs so that they are...Ch. 9 - Graph each equation. y=3x1Ch. 9 - Graph each equation. y=5x4Ch. 9 - Graph each equation. y=4x6Ch. 9 - Graph each equation. y=1Ch. 9 - The ages of 5000 students on campus were recorded....Ch. 9 - The ages of 5000 students on campus were recorded....Ch. 9 - The ages of 5000 students on campus were recorded....Ch. 9 - Prob. 4TCh. 9 - The water in Toronto Harbor in Canada freezes...Ch. 9 - The water in Toronto Harbor in Canada freezes...Ch. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - The multiple bar graph indicates the number of...Ch. 9 - Prob. 10TCh. 9 - The multiple bar graph indicates the number of...Ch. 9 - The multiple bar graph indicates the number of...Ch. 9 - The multiple bar graph indicates the number of...Ch. 9 - Prob. 14TCh. 9 - A student received quiz grades of 89, 46, 85, 91,...Ch. 9 - Prob. 16TCh. 9 - Plot and label each ordered pair on the...Ch. 9 - Plot and label each ordered pair on the...Ch. 9 - Plot and label each ordered pair on the...Ch. 9 - Plot and label each ordered pair on the...Ch. 9 - Give the coordinates of each point. ACh. 9 - Give the coordinates of each point. BCh. 9 - Give the coordinates of each point. CCh. 9 - Prob. 24TCh. 9 - Plot the set of ordered pairs and then draw a line...Ch. 9 - Prob. 26TCh. 9 - Graph. y=4x2Ch. 9 - Graph. y=3x+1
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- 10) Which of the following is the general solution of the homogeneous second-order differential equation y + 8y + 52y=0? Here, C, C₁, and C2 are arbitrary real constants. A) y = C₁ecos(61) + C₂e*sin(61) + C B) y = et (sin(4t) + cos(6t)) + C C) y = C₁esin(6) + C₂e+ cos(6t) + C D) y = C₁esin(6) + C₂e+cos(6) E) y=e(C₁sin(61) + C₂cos(61))arrow_forward3) Consider the initial value problem ' y' + 8y = 0, y(0) = -4, y (0) = 16 What is the solution of this initial value problem? A) y = -4t - 2e8t D) y = -4 + 2e-8t B) y = -2 + 2e8t C) y = -2 -2e-8t E) y = -4+ 2e8t F) y = -2t-2e-8tarrow_forward6) Consider the initial value problem y + cos πι + e²бty = 0, y(-1) = 0, y' (-1) = 0 Which of these statements are true? Select all that apply. A) There exists a nonzero real number r such that y(t) = ert is a solution of the initial value problem. B) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t. C) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval (-∞, ∞). D) This initial value problem has only one solution on the interval (-7, 5). E) There must exist a function y = q(t) that satisfies this initial value problem on the interval (-7,∞).arrow_forward
- 7) Compute the Wronskian of the pair of functions sin(5t) and cos(5t). A) -5 B) 4 C) 1 D) -4 E) 5arrow_forward8) The pair of functions y₁ = eбt and y₁ = teбt forms a fundamental set of solutions for the differential equation y'' - 12y' + 36y= 0.arrow_forward6) Consider the initial value problem y + cos πι + e²бty = 0, y(-1) = 0, y' (-1) = 0 Which of these statements are true? Select all that apply. A) There exists a nonzero real number r such that y(t) = ert is a solution of the initial value problem. B) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t. C) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval (-∞, ∞). D) This initial value problem has only one solution on the interval (-7, 5). E) There must exist a function y = q(t) that satisfies this initial value problem on the interval (-7,∞).arrow_forward
- 5) Consider the initial value problem 9 (8² 9t+ 1)y' - 8ty = sin(2πt), ) = -4, y = -3.5 16 16 On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A) (-∞, ∞) B) (0, 1) 25 C) (-4, -3.5) D) E) 32'32 明arrow_forward1) Which of the following are solutions to the homogeneous second-order differential equation 4y 7y -2y=0? Select all that apply. A) YA = Ce2t, where C is any real constant B) y = 2e-21 6 2t C) y = C (e- 21 + e21), where C is any real constant D) 1/3 = 8 (221 + €21) E) y2 = Ce 2t, where C is any real constant 2t F) y₁ = 8e +2e2t G) y5 = (C₁ e²) · (C₂e-21), where C₁ and C₂ are any real constants 1arrow_forward7) Compute the Wronskian of the pair of functions sin(5t) and cos(5t). A) -5 B) 4 C) 1 D) -4 E) 5arrow_forward
- 5) Consider the initial value problem 9 (8² 9t+ 1)y' - 8ty = sin(2πt), ) = -4, y = -3.5 16 16 On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A) (-∞, ∞) B) (0, 1) 25 C) (-4, -3.5) D) E) 32'32 明arrow_forward2) For which of these differential equations is the characteristic equation given by r(10r + 1) = 0? A) y (10y + 1) = 0 B) 10y'' + 1 = 0 C) 10y+1y=0 D) y (10y + 1y) = 0 E) 10y'' + 1y=0arrow_forwardS 36. lim 5x+2 x-2 37. lim √√2x4 + x² x-3 Answer-> 2x3 +4 38. lim x12 √ x² + 1 √√x² + 8 39. lim x-1 2x+4 Answer 40. lim x3 2x x√x² + 7 √√2x+3arrow_forward
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