During a normal day, there are 280 planes taking off from the airport, but the airport is a lot busier during Christmas holiday, about 300 planes take off every day from the airport. During the Christmas holidays, the airport opens 10 hours during each day, how many planes take off from this airport in each hour?

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

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?

1. evaluate 8x(2)y9(-2) for x=-1 and y=2 2. simplify the equation. -() 3. simplify the expression. [tex]\frac{5}{x(-2) y9(5)}[/tex]