The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD : DE : EF is equal to 1 : 5 : 2. If CF = 40, find DF.

What is the slope of a line that is perpendicular to y = 3x + 1

What is the first quartile of the data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38 a. 12 b. 19 c. 29 d. 10

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)