The table lists the amount of emissions of a certain pollutant in millions of tons.Year1980 1985 1990 1995P 18.8 22.6 26.0 29.0If the amount of emissions is modeled by a function of the form f(x) = ax² + bx + c, where x is the year, estimate the year in which the amount of emissions will be 10.0 million tons.OA. 2075.OB. 2090OC. 2020OD. 2050

Answered: The table lists the amount of emissions…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A large tank is used to collect water during a heavy rain storm. A graph of the amount of water in the tank as a function of the time since the beginning of the storm is given below. W (t) 80 70 60 50 e of Water (gallons) 40 30 20 10 0 0 10 20 30 40 50 60 70 Time (minutes) 70 80 90 (a) How much water was added to the tank in the 40 minutes since the beginning of the storm? gallons (b) Solve W(t) = 30. t = minutes
On wet roads, under certain conditions the front tires of a car will hydroplane, or run along the surface of the water. The critical speed V at which hydroplaning occurs is a function of p, the tire inflation pressure. Suppose the following table shows hypothetical data for p, in pounds per square inch, and V, in miles per hour. Find a formula that models V as a power function of p. Round parameters to the nearest hundredth. Tire inflation pressure p Critical speed for hydroplaning V 25 52.5 30 57.4 35 62.0 40 66.2 a) V = 35.89 x p^0.02 b) V = -41.49 x p^67.11 c) V = 29.82 x p^0.91 d) V = 10.70 x p^0.49
2. An investment of $100 is placed into an account that earns interest, compounded annually, at a rate of 5% for 7 years. The amount, A, in the account can be modelled by the function A = 100(1.05)', where t is the time, in years. What is the domain of this function? a. (t e R, 2 7} b. (t e R, 0 SIS7) c. (te R, t > 7} d. (t e R,0
The.table.gives.the power consumption P in megawatts in a county from midnight to 6:00 AM on a day in December. Use Simpson's Rule to estimate the energy used during that time period. (Use the fact that power is the derivative of energy. Round your answer to one decimal place.) megawatt-hours Enter a number. t Pt P 0:00 1812 3:30 1611 0:30 1735 4:00 1625 4:30 1664 1:00 1688 1:30 1644 5:00 1745 2:00 1635 5:30 1884 2:30 1607 6:00 2056 3:00 1606
This table of ordered pairs contains elements of a function x. y 3 4 1.5 2.5 Determine the exponential equation for the curve of best fit. Oy 1.7(0.2)* Oy 0.2(1.7)* Oy =14(0 5)* Oy =0.5(14)* 1. 2.
1. An adult takes 400 mg of ibuprofen. The amount of ibuprofen in the person's system decreases by about 29% every 30 minutes. a. Construct a function that will show the amount of ibuprofen in the person's system after a certain number of hours. b. Show the graph of the function using Desmos. Include the graph of the asymptote/s. c. How much ibuprofen is left after 6 hours?
Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in the table below. P(x) 3 0.05 4 0.40 0.25 0.20 0.10 On average, how many years do you expect it to take for an individual to earn a B.S.? (Enter your answer to two decimal places.) 4.95 X years Additional Materials

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