A piece of solid, spherical glass has a circumference of 31 cm. The sphere is cut in half, creating two identical hemispheres. Geena plans to paint one of the hemispheres to give as a gift. To determine the minimum amount of paint needed, she computes the following.

​

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

The function f(x) = 14,600(1.1)* represents the population of a town x years after it was established. what was the original population of the town?

The constitution gives congress the power to create federal courts lower than the supreme court higher than the supreme court equal to the supreme court, unaffected by the supreme court.