Astudent is trying to remember some formulas from geometry. in what follows, assume a is area, v is volume, and all other variables are lengths. determine which formulas are dimensionally consistent.

What is the volume of a cone with a height of 6 cm in the radius of 2 cm

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?