12. A rectangular piece of insulation is to be wrapped around a pipe that is 4.25 inches in diameter. How wide does the rectangular piece of insulation need to be? (give an answer to the nearest hundredth)

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

Elena is paid a constant rate for each hour she works. the table shows the amounts of money that elena earned for various amounts of time that she worked.