Answer:
20
Step-by-step explanation:
The range is the largest number take away the smallest
Try looking at this steps, I hope this helps!
Answer:
A, B, C,
Step-by-step explanation:
Just use a calculator...?
a)
![2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\](https://tex.z-dn.net/?f=2%5E-%5E2%2A2%5E8%3D%5Cfrac%7B1%7D%7B2%5E2%7D%2A2%5E8%3D%5Cfrac%7B2%5E8%7D%7B2%5E2%7D%3D2%5E8%5E-%5E6%3D2%5E6%3D64%5C%5C)
b)
![3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}](https://tex.z-dn.net/?f=3%5E-%5E5%2A3%5E1%3D%5Cfrac%7B1%7D%7B3%5E5%7D%2A3%3D%5Cfrac%7B3%7D%7B243%7D%3D%5Cfrac%7B1%7D%7B81%7D)
c)
![4^4*4^-^3=\frac{4^4}{4^3}=4^1=4](https://tex.z-dn.net/?f=4%5E4%2A4%5E-%5E3%3D%5Cfrac%7B4%5E4%7D%7B4%5E3%7D%3D4%5E1%3D4)
d)
![5^3*5^-^1=\frac{5^3}{5^1}=5^2=25](https://tex.z-dn.net/?f=5%5E3%2A5%5E-%5E1%3D%5Cfrac%7B5%5E3%7D%7B5%5E1%7D%3D5%5E2%3D25)
e)
![6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}](https://tex.z-dn.net/?f=6%5E-%5E8%2A6%5E-%5E6%3D%5Cfrac%7B6%5E6%7D%7B6%5E8%7D%3D6%5E-%5E2%3D%5Cfrac%7B1%7D%7B6%5E2%7D%3D%5Cfrac%7B1%7D%7B36%7D)
f)
![8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}](https://tex.z-dn.net/?f=8%5E2%2A8%5E-%5E4%3D%5Cfrac%7B8%5E2%7D%7B8%5E4%7D%3D8%5E-%5E2%3D%5Cfrac%7B1%7D%7B8%5E2%7D%3D%5Cfrac%7B1%7D%7B64%7D)
The average rate of change in a function from a to b is
.
For the left function, from x = 4 to x = 5, the rate of change is
.
For the right function, the rate of change is
![\frac{1024-256}{5-4} = \frac{768}{1} = 768](https://tex.z-dn.net/?f=%20%5Cfrac%7B1024-256%7D%7B5-4%7D%20%3D%20%5Cfrac%7B768%7D%7B1%7D%20%3D%20768%20)
Using a ratio to compare the right function's growth rate with that of the left function, you get
.
The right function is growing approximately 21 times faster than the left function (over the interval from 4 to 5).
If there are 8 groups of 65 students, that means they can seat 8*65 students total. 520 students