For all odd positive integers n, 4n + 5n + 6n is divisible by 15. (a) Prove this statement using weak induction. (b) Suppose you wanted to prove this statement with strong induction instead. Provide the induction hypothesis you would use. Do not complete the induction step.

What is the simplified form of 7 √x • 7 √x • 7 √x • 7 √x?

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?

I’m on question 7 it says a covered water tank is in the shape of a cylinder the tank has a 28 inch diameter and a height of 66 inches to the nearest square inch what is the surface area of the water tank