Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The surface area of a sphere is 4? times the square of the radius.

A. If S represents the surface area and r the radius, then 4?S =r2.
B. If S represents the surface area and r the radius, then S = ?r2.
C. If S represents the surface area and r the radius, then S = 4?r2.
D. If S represents the surface area and r the radius, then S = 4?r.


Answer: C

Mathematics

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Compute the values of f(x) and use them to determine the indicated limit.If f(x) = x2 - 5, find  f(x).

A.
 ; limit = ?
B.
 ; limit = -5.0
C.
 ; limit = -15.0
D.
 ; limit = -3.0

Mathematics

Estimate the answer to the problem.A mobile library has 1029 books in its collection. If there are 21 shelves in the library, then how many books, on average, are stacked on each shelf?

A. 55 B. 60 C. 50 D. 46

Mathematics

Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5),  (5, 1),  (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is less than 13.

A.
B. 0
C. 1
D.

Mathematics

Factor completely, or state that the polynomial is prime.y5 - 625y

A. y(y2 - 25)(y2 - 25) B. y(y2 + 25)(y2 + 25) C. y(y2 + 25)(y + 5)(y - 5) D. prime

Mathematics