While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. how long does it take for 3,000 bacteria to reduce to 375? it takes minutes for the number of bacteria to reduce from 3,000 to 375.

Ineed in figuring out this problem.

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?

Answer for 10 points show work you guys in advanced < 3