Karolyn is arranging her art project, science project, and math project on her desk. the tree diagram below shows the sample space. a tree diagram is shown. the first three choices are art, science, and math. from art, one branch is math, science and the other branch is science, math. from science, one branch is art, math and the other branch is math, art. from math, one branch is art, science and the other branch is science, art. based on the tree diagram, what is the probability that the science project is first?

What is the value of x? enter your answer in the box. (cm)

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. ? 18 8 ? 10 30 12 ?

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)