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Water is leaking out of an inverted conical tank at a rate of 6800.000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 12.000 meters and the diameter at the top is 4.000 meters. If the water level is rising at a rate of 20.000 centimeters per minute when the height of the water is 2.500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
A rectangular study plot is to be enclosed by 625 m of fencing. What are the dimensions of the study plot that will have the largest area?
A tray of electronic components contains 20 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)
A truck travels at a constant speed of 30.0m/s for 0.8 h. Find the total distance traveled in km.
Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
Which function passes the horzontal test a horzontal line of a parabla or a radical sign or a u line.
A stack of 12 papers contains three "A" papers. If three papers are selected, what is the probability
It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done.
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
(Management wants to ensure that only 1% of cans are under-filled.) Scenario 1: If the mean fill of the cans remains at 12.1 ounces, what standard deviation does the filling machine need to achieve this goal?
Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
Calculate the per capita cost per police officer. Explain why increased population can result in increased per capita taxes, even though the per-capita cost per police officer declines with population.
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