Sid has a job shoveling sidewalks that pays $25 per sidewalk shoveled and his goal is to make between $475 and $925 in a week.
If x is the number of sidewalks he completes in a week and y is the money he earns in
a week, write the domain and range of the function as compound inequalities.

Domain:

Range:

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min