The volume of a cube decreases at a rate of 0.5 ft3 / min. What is the rate of change of the side length when the side lengths are 12 feet

If the tip varies directly with the number of guest which equation represents between the tip,t, and the number of guest,g?

Lucy spent $165 in december using a new credit card. in january, she began paying between $15 and $25 each month towards her account balance.

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?