A net with 5 faces. 3 rectangles are stacked. The top and bottom rectangles are shaded blue. The middle rectangle is white. An orange rectangle is connected to the left of the top blue rectangle, and another is connected to the right of the bottom blue rectangle. Juan is drawing the two-dimensional net of a rectangular solid, but he made a mistake. What error did Juan make, and how can he correct it?
The orange faces should both be attached to the same blue face.
The prism is missing a sixth face, which should be colored orange.
The prism is missing a sixth face, which should be colored blue.
The prism is missing a sixth face, which should be colored white.

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

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?

In the geometric progression –3, 12, −48… what term is 3,072?