A septic tank has the shape shown to the right. How many gallons does it​ hold? (1 ft cube equals 7.48 ​gallons) A solid has two identical half-sphere bases and a smooth side that connects the two bases. The length of the smooth side is 6 feet 9 inches. The diameter is 3 feet 6 inches.

6' 9''

3' 6''

What is the definition of exponential decay?

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)

Graph the line that represents a proportional relationship between d and t with the property that an increase of 33 units in t corresponds to an increase of 44 units in d. what is the unit rate of change of dd with respect to t? (that is, a change of 11 unit in t will correspond to a change of how many units in d? )