A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectangular pyramid is 12 inches. Marbles fill half the volume of the container. How many more cubic inches of marbles are needed to finish filling the container?Enter your answer in the box. { }in3

What is the nth term rule of the linear sequence below? 27 , 25 , 23 , 21 , 19 , . .

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?

Find the area of the unshaded square