There are 8 choices for the first painting on the wall, 7 choices for the second, and so on, down to three choices for the sixth. Our result is thus 8*7*6*5*4*3=20,160. C is the correct answer.
Answer:
Part 1)
Part 2)
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{x} +1](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%20%2B1)
Part 1) Find f(125)
we know that
f(125) is the value of the function f(x) when the value of x is equal to 125
so
For x=125
substitute in the function
Remember that

substitute
Applying the power of rule
![\sqrt[3]{5^{3}}=(5^{3})^{\frac{1}{3}}= (5)^{3*\frac{1}{3}}=5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%5E%7B3%7D%7D%3D%285%5E%7B3%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%20%285%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%3D5)
substitute
Part 2) Find f(-64)
we know that
f(-64) is the value of the function f(x) when the value of x is equal to -64
so
For x=-64
substitute in the function
Remember that

substitute
Applying the power of rule
![\sqrt[3]{-4^{3}}=(-4^{3})^{\frac{1}{3}}= (-4)^{3*\frac{1}{3}}=-4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-4%5E%7B3%7D%7D%3D%28-4%5E%7B3%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%20%28-4%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%3D-4)
substitute
Answer: about 45
first since there’s 30 miles per gallon multiply 5.3 by 30 and then subtract 120 and there’s the answer
Answer:
a. every fifth student that enters her classroom
Step-by-step explanation:
I am not for sure, it makes the most sense though because her honors class is all 3 classes, and boys in each of her classes could be biased