Solve the problem.In deciding whether or not to set up a new manufacturing plant, analysts for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to produce x bags of microwave popcorn. They estimate the cost to produce 10,000 bags as  and the cost to produce 15,000 bags as . Find the marginal cost of the bags of microwave popcorn to be produced in this plant.

A. $2490.00
B. $49.80
C. $4.98
D. $0.50


Answer: D

Mathematics

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Solve the problem.If u = -5i - 3j + 4j, v = 2i - 9j + 7k and w = 2i - 4j - 10k, evaluate (u × v) ? w.

A. -448 B. 98 C. -676 D. -712

Mathematics

Find the most general antiderivative. dy

A.  -  + C
B. 2 tan-1 y - ln |y| + C
C. 2 tan-1 y - 3 ln |y| + C
D. 2 tan-1 y + 3 ln |y| + C

Mathematics

Solve.The following data show the relationship between the radius of a sphere and the volume of that sphere. a.Plot the ordered pairs (x, y) on a graph and connect the points with straight lines.b. Compute and interpret the average rate of change in volume between radii of 2 and 5feet.c. Compute and interpret the average rate of change in volume between radii of 10 and 12 feet.d. Based upon the results to parts a, b, and c, do you think that the volume of the sphere is linearly related to the radius? Why?

What will be an ideal response?

Mathematics

Let p represent a true statement, and let q and r represent false statements. Find the truth value of the given compound statement.~[(~p ? ~q) ? ~q]

A. False B. True

Mathematics