Answer:
(a) 10.
Step-by-step explanation:
When x = 2 x + x(x^x) =
2 + 2(2^2)
= 2 + 2*4
= 2 + 8
= 10.
Answer:
20 (D)
Step-by-step explanation:
2.5 miles in 1/8 of a mile
so multiply by 8 to get 1 hour
2.5 * 8 = 20
Answer:
125
Step-by-step explanation:
Solution:
We are given with the two numbers=32 and 96
Product of the given numbers=
But Rosa rewrites the 96 as a sum or difference of two numbers and uses the distributive property
As we know, the Distributive property is 
Now, 
So, option 'd' is correct
Answer:

Step-by-step explanation:
We are given that curves y=
is rotated about x=4 .
Given that y=0 and x=2
We have to find the volume V generated by rotating the region bounded by the curves with the help of method of cylindrical shells.
First we find the intersection point
Substitute y=0 then we get
0=
x=0
Hence, x changes from 0 to 2.
Radius =4-x
Height of cylinder =y=
Surface area of cylinder =
Volume V generated by the rotating curves
=
V=
V=![2\pi[\frac{12x^5}{5}-\frac{x^6}{2}]^2_0](https://tex.z-dn.net/?f=2%5Cpi%5B%5Cfrac%7B12x%5E5%7D%7B5%7D-%5Cfrac%7Bx%5E6%7D%7B2%7D%5D%5E2_0)
V=![2\pi[\frac{384}{5}-32]](https://tex.z-dn.net/?f=2%5Cpi%5B%5Cfrac%7B384%7D%7B5%7D-32%5D)
V=

Hence, the volume V generated by rotating the region by the given curves about x =4=
.