Evaluate the algebraic expression for the given values of the variables.x - y + z for x = 24, y = 9, and z = 5

A. 10
B. 21
C. 38
D. 20


Answer: D

Mathematics

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A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the volume of paint needed. Assume that x and y are measured in meters.The spherical zone generated when the upper portion of the circle x2 + y2 = 64 on the interval  is revolved about the x-axis.

A. 384? m3
B.  m3
C. ? m3
D. ? m3

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Use an Euler diagram to determine whether the argument is valid or invalid.All dogs are animals.Therefore, some dogs are pets.

A. valid B. invalid

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Solve the problem.The quadratic function  models the median, or average, age, y, at which U.S. men were first married x years after 1900. In which year was this average age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that year? (Round to the nearest tenth.)

A. 1962, 50.5 years old B. 1953, 36 years old C. 1936, 50.5 years old D. 1962, 21.9 years old

Mathematics

Use the figure to answer the question.This double-bar graph shows the number of male (M) and female (F) athletes at a university over a  period.2009201020112012YearWhich year had the smallest number of male athletes?

A. 2011 B. 2012 C. 2010 D. 2009

Mathematics