Determine whether the relation represents a function. If the relation is a function, state its domain and range.{(r, x), (s, y), (t, z), (r, w)}
A. function; domain: {r, s, t}; range: {x, y, z, w}
B. function; domain: {r, s, t}; range: {x, y, z}
C. not a function
D. function; domain: {x, y, z, w}; range: {r, s, t}
Answer: C
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Find the volume of the described solid.The base of a solid is the region between the curve y = 5cos x and the x-axis from x = 0 to x = ?/2. The cross sections perpendicular to the x-axis are squares with diagonals running from the x-axis to the curve.
A. 
?
B. 
?
C. 6?
D. 
?
Solve. Write a mixed numeral for the answer.To make a batch of juice, 1
cups of concentrate are required. How many batches of juice can be made from 27 cups of concentrate?
A. 17 batches
B. 19 batches
C. 18 batches
D. 16
batches
Multiply. Write the answer in lowest terms.
? 2
A. 
B. 
C. 
D. 
Fifty percent of students enrolled in an astronomy class have previously taken physics. Thirty percent of these students received an A for the astronomy class, whereas twenty percent of the other students received an A for astronomy.Find the probability that a student selected at random previously took a physics course and did not receive an A in the astronomy course.
A. 0.35 B. 0.40 C. 0.15 D. 0.10 E. none of these