The dollars d that Katie earns at a certain company is directly proportional to the hours h that she works and inversely proportional to the cube of vacation days v. With k as the constant of proportionality, which equation correctly represents Katie's earnings? A. k/hv3
B. kh/v3
C. kv3/h
D. hv3/k
E. khv3

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.