Solve.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 94 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.
A. V(r) = ?(94 - r)r3 + ?r2
B. V(r) = ?(94 - r) + ?r2
C. V(r) = ?(94 - r)r2 + ?r3
D. V(r) = 94?r2 + ?r3
Answer: C
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Solve the problem.A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city 1 mile downstream on the opposite side costs $225 per foot across the river and $150 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the
A. C(x) = 225 + 150(5280 - x)
B. C(x) = 225(650 - x) + 150(1 - x)
C. C(x) = 225 + 150(1 - x)
D. C(x) = 150 + 225(5280 - x)
Subtract. Simplify, if possible. -
A.
B.
C.
D.
Determine whether the following is a statement. If it is, then also classify the statement as true or false.2.4 = 5.2
A. Not a statement B. True statement C. False statement
Solve the problem.In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference represents the total profit for producing x widgets. Given R(x) = 60x - 0.4 x2 and
find the equation for P(x).
A. P(x) = -0.4 x2 + 63x + 13 B. P(x) = 3x + 13 C. P(x) = -0.4 x2 + 57x - 13 D. P(x) = 60x - 0.4 x2