Answer:
the unit rate is 70 miles per 1 hour
Step-by-step explanation:
let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
Answer:
Step-by-step explanation:
m∠1 = 3 times of m∠2
m∠2 = (1/3) times of ∠1

m∠2 = 24°
Answer:
103 ft.
Step-by-step explanation:
Volume = length x width x height
Thus, you need to find the cubic root of 500....the number that when multiplied by itself three times = 500,
There are different ways to write this.
![\sqrt[3]{500}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B500%7D%20)
=
![\sqrt[3]{125 * 4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%20%2A%204%7D%20)
= 5
![\sqrt[3]{4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B4%7D%20)
You can also show it as a decimal using a calculator = 7.94