Write an equation in slope-intercept form of the line perpendicular to y = 3x + 4 that passes through the point (3, 4).

a) y = 3x - 5
b) y = 3x + 5
c) y = 1/3x + 5
d) y = -1/3x + 5

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?

Find the area of the surface obtained by rotating the curve z=4e^2y from y = 0 to y =1 about the y-axis. the area is square units

Suppose medical records indicate that the length of newborn babies (in inches) is normally distributed with a mean of 20 and a standard deviation of 2.6. find the probability that a given infant is between 14.8 and 25.2 inches long.