If two events are mutually exclusive, can they occur concurrently? explain.

Acircle has a circumference of 28.36 units what is the diameter of the circle

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?

Atown has a population of 12000 and grows at 3.5% every year. what will be the population after 7 years, to the nearest whole number?