a dentist conducts a survey to determine whether a certain brand of mouthwash improves gum health more than others. When his patients come in for their regular cleanings, the dentist surveys them about their mouthwash use and makes a conclusion based on the survey results.

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?

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?

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2