Algebra and Trigonometry
4th Edition
ISBN: 9781305719781
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: PEARSON
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Question
Chapter P.1, Problem 7E
To determine
(a)
To Find:
The mileage for a car.
To determine
(b)
To Find:
The number of gallons of gas used.
Expert Solution & Answer
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Use the model goven to answer the question about the object or process being modeled.
A Ferris wheel at a theme park rotates in an anticlockwise direction at a constant rate. People enter the cars of the Ferris wheel from a platform which is above ground level. The Ferris wheel does not stop at any time. The Ferris wheel has 16 cars, spaced evenly around the circular structure. A spider attached itself to the point P on the side of car C when the point P was at its lowest point at time 1.00 pm. The height, h metres, of the point P above ground level, at time t hours after 1.00 pm is given by h(t)=62+60 sin(((5t-1)pi)/2) a) Write down the maximum height, in metres, of the point P above ground level. b)Write down the minimum height, in metres, of the point P above ground level. c) At what time, after 1.00 pm, does point P first return to its lowest point? d)Find the time, after 1.00 pm, when P first reaches a height of 92 metres above ground level. e)Find the number of minutes during one rotation that P is at least 92 metres above ground level.
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Chapter P Solutions
Algebra and Trigonometry
Ch. P.1 - The model L=4S gives the total number of legs that...Ch. P.1 - Prob. 2ECh. P.1 - Prob. 3ECh. P.1 - Prob. 4ECh. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - 3-12 Using Models Use the model given to answer...Ch. P.1 - Prob. 9ECh. P.1 - Prob. 10E
Ch. P.1 - 3-12 Using Models Use the model given to answer...Ch. P.1 - Prob. 12ECh. 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 - Cost of a Pizza A pizza parlor charges 12 for a...Ch. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Volume of Fruit Crate A fruit crate has square...Ch. P.1 - Grade Point Average In many universities students...Ch. P.2 - CONCEPTS Give an example of each of the following:...Ch. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - CONCEPTS The symbol |x| stands for the _____ of...Ch. P.2 - CONCEPTS The distance between a and b on the real...Ch. P.2 - Prob. 6ECh. P.2 - 6-8 Yes or No? If No, give a reason. Assume that a...Ch. 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. 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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 - APPLICATIONS Temperature Variation The bar graph...Ch. 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.3 - CONCEPTS Using exponential notation, we can write...Ch. P.3 - Prob. 2ECh. P.3 - Prob. 3ECh. P.3 - CONCEPTS When we multiply two powers with the same...Ch. P.3 - Prob. 5ECh. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - CONCEPTS Scientists express very large or very...Ch. 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. 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P.5 - CONCEPTS The Special Product Formula for the...Ch. 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 - Prob. 20ECh. 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 - Prob. 54ECh. P.5 - Prob. 55ECh. 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P.6 - The Special Factoring Formula for the differecne...Ch. P.6 - Prob. 6ECh. P.6 - Prob. 7ECh. P.6 - Prob. 8ECh. P.6 - Prob. 9ECh. P.6 - Prob. 10ECh. P.6 - Prob. 11ECh. P.6 - Prob. 12ECh. P.6 - Prob. 13ECh. 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 - Prob. 34ECh. P.6 - Prob. 35ECh. P.6 - Prob. 36ECh. P.6 - Prob. 37ECh. P.6 - Prob. 38ECh. 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. 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P.8 - Prob. 35ECh. 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 - 41-54 Equations Involving Fractional Expressions...Ch. P.8 - Prob. 45ECh. P.8 - Prob. 46ECh. P.8 - Prob. 47ECh. P.8 - Prob. 48ECh. P.8 - 41-54 Equations Involving Fractional Expressions...Ch. 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 - Prob. 61ECh. P.8 - Prob. 62ECh. 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 - Prob. 69ECh. P.8 - Prob. 70ECh. P.8 - Prob. 71ECh. P.8 - Prob. 72ECh. P.8 - Prob. 73ECh. P.8 - Prob. 74ECh. P.8 - Prob. 75ECh. P.8 - Prob. 76ECh. P.8 - Prob. 77ECh. P.8 - Prob. 78ECh. P.8 - Prob. 79ECh. P.8 - Prob. 80ECh. P.8 - Prob. 81ECh. P.8 - Prob. 82ECh. P.8 - Prob. 83ECh. P.8 - Prob. 84ECh. P.8 - Prob. 85ECh. P.8 - Prob. 86ECh. P.8 - Prob. 87ECh. P.8 - Prob. 88ECh. P.8 - Prob. 89ECh. P.8 - Prob. 90ECh. P.8 - Prob. 91ECh. P.8 - Prob. 92ECh. P.8 - Prob. 93ECh. P.8 - Prob. 94ECh. P.8 - Prob. 95ECh. P.8 - Prob. 96ECh. P.8 - Prob. 97ECh. P.8 - 87-100 Solving for a Variable Solve the equation...Ch. P.8 - Prob. 99ECh. P.8 - Prob. 100ECh. P.8 - Shrinkage in Concrete Beams As concrete dries, it...Ch. P.8 - Prob. 102ECh. P.8 - Prob. 103ECh. P.8 - Food Consumption The average daily food...Ch. P.8 - Prob. 105ECh. P.8 - DISCUSS: Proof That 0 = 1? The following steps...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 - Prob. 10ECh. 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 - Prob. 18ECh. P.9 - SKILLS 7-20 Using Variables Express the given...Ch. P.9 - Prob. 20ECh. P.9 - Prob. 21ECh. P.9 - APPLICATIONS Cell Phone Costs A cell phone company...Ch. P.9 - APPLICATIONS Average Linh has obtained scores of...Ch. P.9 - Prob. 24ECh. P.9 - Prob. 25ECh. P.9 - Prob. 26ECh. P.9 - Prob. 27ECh. P.9 - Prob. 28ECh. P.9 - Prob. 29ECh. P.9 - Prob. 30ECh. P.9 - Prob. 31ECh. P.9 - APPLICATIONS Labor Costs A plumber and his...Ch. P.9 - Prob. 33ECh. P.9 - Prob. 34ECh. P.9 - Prob. 35ECh. P.9 - Prob. 36ECh. P.9 - Prob. 37ECh. P.9 - Prob. 38ECh. P.9 - Prob. 39ECh. P.9 - Prob. 40ECh. P.9 - APPLICATIONS Geometry Find the length y in the...Ch. P.9 - APPLICATIONS Geometry Find the length x in the...Ch. P.9 - Prob. 43ECh. P.9 - Prob. 44ECh. P.9 - Prob. 45ECh. P.9 - APPLICATIONS Height of Tree A woodcutter...Ch. P.9 - Prob. 47ECh. P.9 - Prob. 48ECh. P.9 - Prob. 49ECh. P.9 - Prob. 50ECh. P.9 - Prob. 51ECh. P.9 - APPLICATIONS Mixture Problem A health clinic uses...Ch. P.9 - APPLICATIONS Mixture Problem A bottle contains...Ch. P.9 - Prob. 54ECh. P.9 - Prob. 55ECh. P.9 - Prob. 56ECh. P.9 - APPLICATIONS Sharing a Job Betty and Karen have...Ch. P.9 - APPLICATIONS Sharing a Job Next-door neighbours...Ch. P.9 - Prob. 59ECh. P.9 - Prob. 60ECh. P.9 - Prob. 61ECh. P.9 - Prob. 62ECh. P.9 - APPLICATIONS Law of the Lever The figure shows a...Ch. P.9 - APPLICATIONS Law of the Lever A plank 30 ft long...Ch. P.9 - Prob. 65ECh. P.9 - Prob. 66ECh. P.9 - APPLICATIONS Dimensions of a Structure A storage...Ch. P.9 - APPLICATIONS An Ancient Chinese Problem This...Ch. P.9 - Prob. 69ECh. P.9 - Prob. 70ECh. P.CR - Prob. 1CCCh. P.CR - Prob. 2CCCh. P.CR - Prob. 3CCCh. P.CR - Prob. 4CCCh. P.CR - Prob. 5CCCh. P.CR - Prob. 6CCCh. P.CR - Prob. 7CCCh. P.CR - Prob. 8CCCh. P.CR - Prob. 9CCCh. P.CR - Prob. 10CCCh. P.CR - Prob. 11CCCh. P.CR - Prob. 12CCCh. P.CR - Prob. 13CCCh. P.CR - Prob. 14CCCh. P.CR - Prob. 15CCCh. P.CR - Prob. 16CCCh. P.CR - Prob. 17CCCh. P.CR - Prob. 18CCCh. P.CR - Prob. 19CCCh. P.CR - Prob. 1ECh. P.CR - Prob. 2ECh. P.CR - Prob. 3ECh. P.CR - Prob. 4ECh. P.CR - Prob. 5ECh. P.CR - Prob. 6ECh. P.CR - Prob. 7ECh. P.CR - Prob. 8ECh. P.CR - Prob. 9ECh. P.CR - Prob. 10ECh. P.CR - Prob. 11ECh. P.CR - Prob. 12ECh. P.CR - Prob. 13ECh. P.CR - Prob. 14ECh. P.CR - Prob. 15ECh. P.CR - Prob. 16ECh. P.CR - Prob. 17ECh. P.CR - Prob. 18ECh. P.CR - Prob. 19ECh. P.CR - Prob. 20ECh. P.CR - Prob. 21ECh. P.CR - Prob. 22ECh. P.CR - Prob. 23ECh. P.CR - Prob. 24ECh. P.CR - Prob. 25ECh. P.CR - Prob. 26ECh. P.CR - Prob. 27ECh. P.CR - Prob. 28ECh. P.CR - Prob. 29ECh. P.CR - Prob. 30ECh. P.CR - Prob. 31ECh. P.CR - Prob. 32ECh. P.CR - Prob. 33ECh. P.CR - Prob. 34ECh. P.CR - Prob. 35ECh. P.CR - Prob. 36ECh. P.CR - Prob. 37ECh. P.CR - Prob. 38ECh. P.CR - Prob. 39ECh. P.CR - Prob. 40ECh. P.CR - Prob. 41ECh. P.CR - Prob. 42ECh. P.CR - Prob. 43ECh. P.CR - Prob. 44ECh. P.CR - Prob. 45ECh. P.CR - Prob. 46ECh. P.CR - Prob. 47ECh. P.CR - Prob. 48ECh. P.CR - Prob. 49ECh. P.CR - Prob. 50ECh. P.CR - Prob. 51ECh. P.CR - Prob. 52ECh. P.CR - Prob. 53ECh. P.CR - Prob. 54ECh. P.CR - Prob. 55ECh. P.CR - Prob. 56ECh. P.CR - Prob. 57ECh. P.CR - Prob. 58ECh. P.CR - Prob. 59ECh. P.CR - Prob. 60ECh. P.CR - Prob. 61ECh. P.CR - Prob. 62ECh. P.CR - Prob. 63ECh. P.CR - Prob. 64ECh. P.CR - Prob. 65ECh. P.CR - Prob. 66ECh. P.CR - Prob. 67ECh. P.CR - Prob. 68ECh. P.CR - Prob. 69ECh. P.CR - Prob. 70ECh. P.CR - Prob. 71ECh. P.CR - Prob. 72ECh. P.CR - Prob. 73ECh. P.CR - Prob. 74ECh. P.CR - Prob. 75ECh. P.CR - Prob. 76ECh. P.CR - Prob. 77ECh. P.CR - Prob. 78ECh. P.CR - Prob. 79ECh. P.CR - Prob. 80ECh. P.CR - Prob. 81ECh. P.CR - Prob. 82ECh. P.CR - Prob. 83ECh. P.CR - Prob. 84ECh. P.CR - Prob. 85ECh. P.CR - Prob. 86ECh. P.CR - Prob. 87ECh. P.CR - Prob. 88ECh. P.CR - Prob. 89ECh. P.CR - Prob. 90ECh. P.CR - Prob. 91ECh. P.CR - Prob. 92ECh. P.CR - Prob. 93ECh. P.CR - Prob. 94ECh. P.CR - Prob. 95ECh. P.CR - Prob. 96ECh. P.CR - Prob. 97ECh. P.CR - Prob. 98ECh. P.CR - Prob. 99ECh. P.CR - Prob. 100ECh. P.CR - Prob. 101ECh. P.CR - Prob. 102ECh. P.CR - Prob. 103ECh. P.CR - Prob. 104ECh. P.CR - Prob. 105ECh. P.CR - Prob. 106ECh. P.CR - Prob. 107ECh. P.CR - Prob. 108ECh. P.CR - Prob. 109ECh. P.CR - Prob. 110ECh. P.CR - Prob. 111ECh. P.CR - Prob. 112ECh. P.CR - Prob. 113ECh. P.CR - Prob. 114ECh. P.CR - Prob. 115ECh. P.CR - Prob. 116ECh. P.CR - Prob. 117ECh. P.CR - Prob. 118ECh. P.CR - Prob. 119ECh. P.CR - Prob. 120ECh. P.CR - Prob. 121ECh. P.CR - Prob. 122ECh. P.CR - Prob. 123ECh. P.CR - Prob. 124ECh. P.CR - Prob. 125ECh. P.CR - Prob. 126ECh. P.CR - Prob. 127ECh. P.CR - Prob. 128ECh. P.CR - Prob. 129ECh. P.CR - Distance and Time Anthony leaves Kingstown at 2:00...Ch. P.CR - Prob. 131ECh. P.CR - Prob. 132ECh. P.CR - Prob. 133ECh. P.CR - Prob. 134ECh. P.CT - A pizzeria charges 9 for a medium plain cheese...Ch. P.CT - Prob. 2CTCh. P.CT - Prob. 3CTCh. P.CT - Prob. 4CTCh. P.CT - Prob. 5CTCh. P.CT - Prob. 6CTCh. P.CT - Prob. 7CTCh. P.CT - Prob. 8CTCh. P.CT - Prob. 9CTCh. P.CT - Prob. 10CTCh. P.CT - Prob. 11CTCh. P.CT - Prob. 12CTCh. P.CT - Prob. 13CTCh. P.CT - Natasha drove from Bedingfield to Portsmouth at an...Ch. P.FOM - Renting versus buying a photocopier A certain...Ch. P.FOM - Car Rental A businessman intends to rent a car for...Ch. P.FOM - Prob. 3PCh. P.FOM - Prob. 4PCh. P.FOM - Edging a Planter A woman wants to make a small...Ch. P.FOM - Prob. 6PCh. P.FOM - Cell Phone Plans Gwendolyn is mulling over the...Ch. P.FOM - Profit Sharing To form a new enterprise, Company A...
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- Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?arrow_forwardThe kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardPlease help and explain for part a b c and d Thank youarrow_forward
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