Define $t: \mathbb{r}^3\to\mathbb{r}^2$ by $$t(x, y,z)=(3x-2y+5z+b,7x+axyz)$$show that $t$ is linear if and only if $a=b=0$.

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

The volume of the sun is approximately 1 × 10^18 cu km, while the volume of jupiter is approximately 1 × 10^15 cu km. which of the following is true? a. the volume of jupiter is approximately one thousand times the volume of the sun. b. the volume of jupiter is approximately one hundred times the volume of the sun. c. the volume of the sun is approximately one thousand times the volume of jupiter. d. the volume of the sun is approximately one hundred times the volume of jupiter.

If on=8x-8,lm=7x+4,nm=x-5,and ol=3y-6