Concept explainers
For Exercises 127-130, an equation is given in the form
127.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
COLLEGE ALGEBRA+TRIG.-ALEKS 360 ACCESS
- The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220−a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts (a) and (b). Lower limit of range H=710(220−a) Upper limit of range H=45(220−a) Question content area bottom Part 1 a. What is the lower limit of the heart range, in beats per minute, for a 44-year-old with this exercise goal? Part 2 The lower limit of the heart range isarrow_forwardBased on the result in Exercise 26, describe the graph of the equation x2+y2=49arrow_forwardThe median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. † (a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.)____square ft(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)____square feet per yeararrow_forward
- One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model. Table A x 0 1 2 3 4 f(x) 10 23 36 49 62 Table B x 0 1 2 3 4 g(x) 10 23 44 73 110 linear function ---Select--- f(x) g(x) = quadratic function ---Select--- f(x) g(x) =arrow_forwardStudent Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)arrow_forwardIn the area of Russia récords were kept on the relationship between the rain Fall in inches and the yield of wheat (bushels per acre ).the data for a 9 year period is as follow. Rain fall x 13.1,11.4,16.0,15.1,21.4,12.9,9.6,18.2,18.6. yield y : 48.5,44.2,56.8,80.4,47.2,29.9,74.0,74.0,76.8 the equation of the line of least squares is given as ^y= -9.12+4.38x. How many bushels of wheat peen acre can be predicted if it’s is expected that there will be 30 inches of rain?arrow_forward
- The number of days a barrel of water lasts varies inversely with the people who consume it. If a barrel of water lasts four days for five people, how long will it last if the consumer will be ten people? 1. As you have observed on your solution, what happen to the number of days a barrel of water could last as the number of persons increases from 5 up to 10 people? 2. Dealing with the same problem, crrate your ow questio regarding the number of days the barrel could last if there is a certain number of consumers. Also show your solution to your problem.arrow_forwardFrom 1950 through 2005, the per capita consumption C of cigarettes by Americans (age 18 and older) can be modeled by C = 3565.0 + 60.30t − 1.783t2, 0 ≤ t ≤ 55, where t is the year, with t = 0 corresponding to 1950. In 2005, the U.S. population (age 18 and over) was 296,329,000. Of those, about 59,858,458 were smokers. What was the average annual cigarette consumption per smoker in 2005? What was the average daily cigarette consumption per smoker?arrow_forwardTrue or False: A canceling linear factor in the numerator and denominator, when set equal to zero, gives the x value of the coordinate of a hole in the graph.arrow_forward
- At the grocery store, 70% of the different types of juice come in a bottle holding at least 400 milliliters (mL) and 40% of the different types of juice come in a low-sugar version. Only 25% of the juice varieties are in bottles holding at least 400 mL and have a low-sugar version. using this information find a solution to the problem.arrow_forwardComplete the table below to solve the equation 2.5x − 10.5 = 64(0.5x). x f(x) = 2.5x − 10.5 g(x) = 64(0.5x) 2 3 4 5 6 A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. Use the graph below to justify the lead executive’s statement and to determine the approximate year that the two ad revenues were equal. Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach at high tide measured where 1995 is represented by year 0. Year number Western Beach width (in feet) Dunes Beach width (in feet) 0 100 20 5 90 45 10 80 70 11 78 75 12 76 80 15 70 95 Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table. Between…arrow_forwardThe molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of magnesium chloride (MgCl2), and Y is the molarity of a solution of ferric chloride (FeCl3), the molarity of chloride ion (Cl−) in a solution made of equal parts of the solutions of MgCl2 and FeCl3 is given by M = X + 1.5Y. Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10 .Assuming X and Y to be independent, find σM.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,