A 300-gallon tank is initially full of water and is being drained at a rate of 10

Question:

A 300-gallon tank is initially full of water and is being drained at a rate of 10 gallons per minute.

(a) Write a formula for a function W that gives the number of gallons of water in the tank after t minutes.

(b) How much water is in the tank after 7 minutes?

(d) Find the domain of W.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

College Algebra With Modeling And Visualization

ISBN: 9780134418049

6th Edition

Authors: Gary Rockswold

See More Books

Question Posted: May 23, 2023 08:03 AM

See More Questions

A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially full of water and water leaks from a circular hole of radius 1/2 inch...
A continuous, stirred-tank reactor is initially full of water with the inlet and exit volumetric flow rates of water having the same numerical value. At a particular time, an operator shuts off the...
The hot-water needs of a household are met by a 60- L electric water heater whose heaters are rated at 1.6 kW. The hot-water tank is initially full with hot water at 80°C. Somebody takes a shower...
Audrey has recently purchased a home with a $325,000 mortgage. She opted for monthly payments, a term of 5 years at a rate of 3.2%, and an amortization period of 25 years. Had Audrey chosen, instead,...
Research by Harvard Medical School experts suggests that boys are more likely than girls to grow out of childhood asthma when they hit their teenage years (BBC News, August 15, 2008). Scientists...
A recent GSS reported that the 486 surveyed females had a mean of 8.3 close friends (s = 15.6) and the 354 surveyed males had a mean of 8.9 close friends (s = 15.5). a. Estimate the difference...
Identify and describe the key attributes that might mitigate a red flag, suggesting that no bad act or compliance issues exist.
Following are some of the tests of controls and substantive tests of transactions procedures often performed in the payroll and personnel cycle. (Each procedure is to be done on a sample basis.) 1....
1. We define the product of operators by composition. That is, AB|4) = A(B|4)). Show that, for the two-level atom, the evolution operator satisfies U(t) U(ts)U(s).
ATM The graph of y = f(x) depicts the amount of money y in dollars in an automatic teller machine (ATM) after x minutes. (a) Determine the initial and final amounts of money in the ATM. (b) Evaluate...
A 500-gallon tank initially contains 200 gallons of fuel oil. A pump is filling the tank at a rate of 6 gallons per minute. (a) Write a formula for a linear function f that models the number of...
For the regression equation given in Exercise 1, the P-value is 0.000 and the adjusted R2 value is 0.925. If we were to include an additional predictor variable of neck size (in.), the P-value...
Imagine that you have placed an electron at the origin of a grid and a proton is placed at x = 0 . 2 9 nm and y = 0 . 3 8 nm . Find the force on the negative charge. [ Hint: The magnitude of the...
Assume that Riot Games Inc. (Riot) is a company that manufactures games and is owned by people with well-diversified portfolios. The company's estimated average annual property loss is $2,000,000....
Jane Thompson is an independent contractor working on a six-month project at Lawson Consulting. She earns $1,200 per week and owes $384 in taxes. Her insurance premium is $19.28 per week. What amount...
If a mechanic is exerting 1 1 9 Newton - m of torque on a nut , and he is applying a 3 1 5 - Newton force perpendicular to the wrench, how far away from the center of the nut is he grasping the...
What is a grapevine communication and how are they used in centralized/decentralized communications?
Consider the following problem. Maximize Z = 2x1 +5x2 + 3x3, Subject to and x1 0, x2 0, x3 0. (a) Using the Big M method, construct the complete first simplex tableau for the simplex method and...
What impact has the Internet had on the globalization of small firms? How do you think small companies will use the Internet for business in the future?
In Exercises 8194, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = -x + 4 + 2
Use the graphs of f and g to solve Exercises 8390. Graph f - g. y = g(x) HH y .y = f(x) # X
In Exercises 7192, find and simplify the difference quotient f(x +h)-f(x) h -, h = 0
Yuhao paid $220 for a used washing machine and dryer on Kijiji. He paid $85 to a moving company to pick up and deliver washer and dryer. These two events caused nominal GDP to increase by ?
How much do you need to save every monthly ( assuming equal amount of savings each month ) in order to have one million dollars in 4 0 years assuming your savings / investments return 1 2 % per year?
1. Provide a definition for civil rights and civil liberties. How are they alike and how are they similar? Provide an example of each in a thoughtful discussion. 2. What kinds of laws are important...

A 300-gallon tank is initially full of water and is being drained at a rate of 10

Question:

Step by Step Answer:

a b...View the full answer

College Algebra With Modeling And Visualization

Students also viewed these Mathematics questions