A website owner wishes to contract a developer to create a video display on the site. The developer charges a rate of $15/frame to create video. The website owner wants to use a frame rate of 30 frames per second. If the website developer wishes to have a 39 second video created, how much will it cost? (You do not need to include the units. You only need to enter your answer as a number.)

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)

The volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of its original volume

Graph the line y=4/3 x+1 . use the line tool and select two points on the line.