Tara ran 3 laps around her neighborhood for a total of 1 mile yesterday. today she wants to run 2/3 of a mile. how many laps will she need to run around her neighborhood?

What is the pattern in the values as the exponents increase?

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

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?