Radio signals travel at a rate of 3x10^8 meter per second. how many seconds would it take for a radio signal to travel from a satellite to the surface of earth if the satellite is orbiting at a height of 9.6*10^6 meters? ( hint: time divide by speed.)

a) 3.2*10^2 seconds
b) 3.2*10^-2 seconds
c) 3.13 *10^1seconds
d) 2.88*10^15 seconds

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?