Answer: a) 2092278989 b) 576, c) ![\dfrac{576}{2092278989}](https://tex.z-dn.net/?f=%5Cdfrac%7B576%7D%7B2092278989%7D)
Step-by-step explanation:
Since we have given that
Number of students = 16
Number of desks = 16
a) How many days must pass before the class must repeat a seating arrangement?
![16!=2092278989](https://tex.z-dn.net/?f=16%21%3D2092278989)
If the number of rows = 4
b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?
![4!\times 4!\\\\=24\times 24\\\\=576](https://tex.z-dn.net/?f=4%21%5Ctimes%204%21%5C%5C%5C%5C%3D24%5Ctimes%2024%5C%5C%5C%5C%3D576)
c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?
![\dfrac{576}{2092278989}](https://tex.z-dn.net/?f=%5Cdfrac%7B576%7D%7B2092278989%7D)
Hence, a) 2092278989 b) 576, c) ![\dfrac{576}{2092278989}](https://tex.z-dn.net/?f=%5Cdfrac%7B576%7D%7B2092278989%7D)
So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
Answer:
A table?
Step-by-step explanation:
fingers crossed this is right
Answer:
36
Step-by-step explanation:
order of operations
Answer:
the mixed fraction is 2 4/9