Rationalize the denominator.

A.
B.
C.
D.  


Answer: D

Mathematics

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Find all vertical asymptotes of the given function.f(x) = 

A. x = -6, x = -9 B. none C. x = -6, x = 6 D. x = -6, x = 6, x = -9

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Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: portion of the cone x2 + y2 - z2 = 0 between z = 2 and z = 3Density: ? = 1

A. Iz = ?
B. Iz = 
C. Iz = 65
D. Iz = 65?

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Solve using a system of linear equations in three variables.The Family Arts Center charges $23 for adults, $18 for senior citizens, and $9 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was  for 874 tickets sold. There were 42 more children than adults. How many children attended?

A. 240 children B. 458 children C. 328 children D. 296 children

Mathematics

Solve the problem.A data set consists of 80 test scores. Over a long period it has been found that the mean and standard deviation for these scores are known and that the scores are normally distributed. How many scores within this data set should lie within one standard deviation of the mean? Round your answer to the nearest whole number.

A. 27 B. 60 C. 76 D. 55

Mathematics