Probability With a Pair of Dice: Find the probability of rolling the difference of 3.

An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 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?

Let f(x) = 5/x and g(x)=2x2+5x. what two numbers are not in the domain of f o g