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There are 2 inlet pipes for a large water tank and one drain pipe. Alone at full force, the first inlet pipe can fill the tank in 10 hours. The second inlet pipe can fill the tank in eight hours. The drain pipe empties a full tank in six hours if neither inlet pipe is running.
Suppose the tank is empty. Both inlet pipes are running at full force. The drain pipe is open. When the tank is half full, the drain pipe is closed. How long would it take to completely fill the tank in this situation beginning with an empty tank? Please provide your answer to the nearest minute.
Find the critical value for this hypothesis test.
her wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have?
How many seats should the airline sell in order to minimize their expected losses?
a spherical balloon is to be felated so that the radius decreases at a rate of 3ft^3/min. How fast is the diameter of the balloon decreasing when the radius is 1ft?
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
What is the probability of a random dart landing inside the bullseye? Round to the nearest thousandth.
A vat with length 6 meters, width 4 meters, and depth 3 meters is filled with water to a depth of 2 meters. Find the work required to pump all the water to the top of the vat. The weight density of water is 9810 N/m^3
Find the breakeven volume as a percentage of capacity.
Determine which coin is the counterfeit coin in as few weightings as possible. Does your method also allow you to state whether the counterfeit coin is heavy or light?
A bit vector is simply an array of bits (0's and 1's). A bit vector of length m takes much less space than an array of m pointers. Describe how to use a bit vector to represent a Dynamic Set of Distinct Elements with no Satellite Data. Dictionary ..
Calculate the work against gravity required to build a tower of height 70 ft in the shape of a right circular cone with base of radius 14 ft out of brick.
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
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