on a recent day, 8 dogs were worth $9 and 24 dogs worth $27. write a chart for the proportion and write an equation the for formulas y=kx

Asphere has a diameter of 10 in. what is the volume of the sphere?

The trigonometric ratios sine and secant are reciprocals of each other

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?