What are the relative minimum and relative maximum values over the interval [−4, 4] for the function shown in the graph?

a. relative minimum = −36 , relative maximum = 64

b. relative minimum = 0, relative maximum = 64

c. relative minimum = −3 , relative maximum = 64

d. relative minimum = −3 , relative maximum = −36

What is the remainder when 2872 is divided by 76? a) 51 b) 57 c) 60 d) 63

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125