A roller coaster in the figure below starts at the top of a straight track is inclined 30° with the horizontal. this causes it to accelerate at a rate of 4.9 m/s^2 (1/2g). What is the roller coasters speed after 5s? How far does it travel during that time?

Which system of linear inequalities is represented by the graph?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Describe the end behavior of the function below. f(x)=(2/3)^x-2 a. as x increases, f(x) approaches infinity. b. as x decreases, f(x) approaches 2. c. as x increases, f(x) approaches -2. d. as x decreases, f(x) approaches negative infinity.