A tank has the shape of an inverted right circular cone with a base radius of 4 m and a height of 9 m. If the tank is filled to a height of 1 m, find the work required (to the nearest joule) to empty the tank by pumping the water over the top of the tank. (The mass of water is 1000 and the force of gravity is 9.8.)

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16,724 J

Mathematics

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Provide an appropriate response.Write the fifth root of 3,125 using radical notation.

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Mathematics

Find the product and simplify.6 ? 4

A. 24
B. 48
C. 2
D. 48

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Consider a linear programming problem given in standard form where the final simplex tableau for maximization is shown below.  If x and y are the original variables and u and v are the slack variables, what is the solution to the problem and to its dual?

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Mathematics

Differentiate.

Mathematics