A swimming pool holding 3, 000, 000 gallons has been contaminated with 120, 000 pounds of...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A swimming pool holding 3, 000, 000 gallons has been contaminated with 120, 000 pounds of raw sewage. Pure water is pumped into the swimming pool at a rate of 200 thousand per hour and contaminated water is pumped from the pool at the same rate. gallons The differential equation that models this situation is dS dt a) Solve the differential equation (Show work) 200S == ,S(0) = 120 where S is thousands of pounds of raw sewage and t is hours. 3000 b) People can safely swim in the pool when the amount of raw sewage in the pool is less than 100 pounds. Will you be able to allow swimmers in the pool after 5 hours? (Explain) c) After how many hours will you be able to allow swimmers in the pool? (Explain) A swimming pool holding 3, 000, 000 gallons has been contaminated with 120, 000 pounds of raw sewage. Pure water is pumped into the swimming pool at a rate of 200 thousand per hour and contaminated water is pumped from the pool at the same rate. gallons The differential equation that models this situation is dS dt a) Solve the differential equation (Show work) 200S == ,S(0) = 120 where S is thousands of pounds of raw sewage and t is hours. 3000 b) People can safely swim in the pool when the amount of raw sewage in the pool is less than 100 pounds. Will you be able to allow swimmers in the pool after 5 hours? (Explain) c) After how many hours will you be able to allow swimmers in the pool? (Explain)
Expert Answer:
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Posted Date:
Students also viewed these accounting questions
-
Solve Problem 21 assuming that pure water is pumped into the tank. Data from problem 21 A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per...
-
When you retire, will you be able to collect Social Security benefits? Give the reasons why you might not be able to collect?
-
A solution of ethanol has been contaminated with benzene-a technique employed to make ethanol unfit to drink. Benzene has a molar absorptivity of 230 at 260 nm in ethanol, and ethanol shows no...
-
The _________ is a checklist that is best suited for property and tangible asset tracking. Perils analysis Industry list List of assets The activity list
-
Suppose that the international parity conditions all hold and a country has a higher nominal interest rate than the United States. Characterize the forward premium (or discount) on the dollar, the...
-
Feed water enters a steam boiler at 1 0 bar pressure and 8 0 \ deg C and the mass The flow rate is 5 0 0 0 0 kg / h . Since saturated steam is produced from this steam boiler at 1 0 bar pressure, If...
-
The numbers of deaths caused by fire per year from 1990 to 2005 in New South Wales Find the range, mean, variance, and standard deviation of the population data set. 8 13 2 11 4 2 2 4 4 3 5 5 14 1 6...
-
Kent Tessman, manager of a Dairy Products Division, was pleased with his division's performance over the past three years. Each year, divisional profits had increased, and he had earned a sizable...
-
Teapot Dome Company is in the business of manufacturing various teapots. They sell their products directly to the customer. For 2022, they have reported the following financial information. Revenue...
-
For each of the following lists of premises, derive the conclusion and supply the justification for it. There is only one possible answer for each problem. (1) 1. G F 2. F 3. _______ ____ (2) 1. S...
-
The Salem Corporation sells inventory costing $15,000 each month during Year 1. At the beginning of the year, the company's balance sheet showed inventory with a balance of $22,000 and accounts...
-
How much is the amount to be deposited now in a trust bank will be equivalent paying P10000 per quarter for 6 years if the bank's rate is 10% compounded quarterly?
-
MorabeMirabel invests the additional 6 5 0 0 0 0 in fixed marketing expenses dalesales of the model 3 0 1 are expected to increase 8 % what is the break even and margin of safety under these...
-
For complete liquidations of subsidiaries under IRC Section 332, the parent corporation does not recognize a gain or loss on the receipt of property in complete liquidation of an 80% or more...
-
The following condensed income statements of the Jackson Holding Company are presented for the two years ended December 31, 2024 and 2023: Sales revenue Cost of goods sold Gross profit Operating...
-
What are the three different types of financial management?
-
How infosecurity firms enhance protection of the clients information from unauthorized hackers.
-
A statistical study shows that the fraction of television sets of a certain brand that are still in service after x years is given by f (x) = e-0.15x. (a) What fraction of the sets are still in...
-
Use the information given in the following figure to construct a mathematical model for the number of pounds of salt x 1 (t), x 2 (t), and x 3 (t) at time t in tanks A, B, and C, respectively....
-
Determine whether the given differential equation is exact. If it is exact, solve it. (5x + 4y) dx + (4x - 8y 3 ) dy = 0
-
Match each of the given differential equations with one or more of these solutions: (a) y = 0, (b) y = 2, (c) y = 2x, (d) y = 2x 2 . 1. xy' = 2y 2. y' = 2 3. y' = 2y 4 4. xy' = y 5. y'' + 9y = 18 6....
-
Cooling pipes at three nuclear power plants are investigated for deposits that would inhibit the flow of water. From 30 randomly selected spots at each plant, 13 from the first plant, 8 from the...
-
With reference to Exercise 10.57, find a large sample 95% confidence interval for the true difference of the probabilities of failure. Data From Exercise 10.57 10.57 Two bonding agents, A and B, are...
-
Two hundred tires of each of four brands are individually placed in a testing apparatus and run until failure. The results are obtained the results shown in the following table: (a) Use the 0.01...
Study smarter with the SolutionInn App