Solve the problem.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 70 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.

A. V(r) = ?(70 - r)r2 +  ?r3
B. V(r) = 70?r2 +  ?r3
C. V(r) = ?(70 - r) +  ?r2
D. V(r) = ?(70 - r)r3 +  ?r2


Answer: A

Mathematics

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A. Absolute maximum at (?/2, 0); absolute minimum at 
B. Absolute maximum at (?/6, ln 2); absolute minimum at (?/2, 0)
C. Absolute maximum at ; absolute minimum at (?/2, 0)
D. Absolute maximum at (?/2, 0); absolute minimum at (?/6, - ln 2)

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Solve.The population of a town was 33,900 at the beginning of 1970. If the population decreased 300 people per year, how many people lived in the town at the beginning of 1985?

A. 4500 B. 29,100 C. 29,400 D. 29,700

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Factor completely. If the polynomial cannot be factored, say it is prime.24x2 + 76x + 60

A. 4(3x + 1)(2x + 15) B. 4(3x + 5)(2x + 3) C. 4(15x + 5)(x + 3) D. (3x + 1)(2x + 15)

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Use synthetic division to divide.(-5x3 - 13x2 + 10x + 12) ÷ (x + 3)

A. -5x2 + 2x + 4 
B. 5x2 - 3x + 4
C. -5x + 2
D. - x2 - x + 

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