The volume vr (in cubic meters) of a spherical balloon with radius r meters is given by =vr43πr3. the radius wt (in meters) after t seconds is given by =wt+7t3. write a formula for the volume mt (in cubic meters) of the balloon after t seconds. it is not necessary to simplify.

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

1- 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.2- 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 the first question?

Ahiker stands at an unknown elevation before he ascends 2 miles up a mountain to an elevation of 9 miles. find the elevation of the hiker before his ascent.