Solve the problem.Find the mass of the solid in the first octant between the spheres  and  if the density at any point is inversely proportional to its distance from the origin.

A. 9k?
B. 12k?
C. 72k?
D. 6k?


Answer: A

Mathematics

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Construct the requested preference table.Construct a preference table for a vote in which voters make an ordered selection of three, where the winner by the plurality method represents a violation of the independence-of-irrelevant-alternatives criterion.

What will be an ideal response?

Mathematics

Graph the pair of functions on the same plane. Use a dashed line for g(x).f(x) = x2 , g(x) = x2 - 2

A.

B.

C.

D.

Mathematics

Decide whether or not the matrices are inverses of each other. and  

A. Yes B. No

Mathematics

Solve.The sales of typewriters have declined considerably in recent years because of the advent of computers. Assume that there were 29 million typewriters sold in 1980 and 5 million sold in 1990. In addition, assume the sales are decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes the number of typewriters sold after time t, in years. (Round decimals to three places.)

A. k = 0.176; S(t) = 29e-0.176t, where S(t) is in millions and t is the number of years since 1980. B. k = 0.161; S(t) = 29e-0.161t, where S(t) is in millions and t is the number of years since 1980. C. k = 0.337; S(t) = 29e-0.337t, where S(t) is in millions and t is the number of years since 1980. D. k = -0.176; S(t) = 29e-0.176t, where S(t) is in millions and t is the number of years since 1980.

Mathematics