There are 12! ways to line 12 people up. That is 12 factorial (the name for the exclamation point
12! means 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Using a scientific calculator to compute 12!, we get 479,001,600 ways to line up 12 people. I know it sounds amazing but here is a chart.
People Ways
3 6
4 24 (Notice that if you multiply 6 x 4 you get 24)
5 120 (Notice that if you muliply 24 x 5 you get 120 etc.)
6 720
7 5040
8 40,320
9 362,880
10 3,628,880
11 39,916,800
12 479,001,600
Non linear because nothing cubed or squared can be linear.
Hope this helps
3a to the power of 2 plus 5a minus 2
Answer:
9/16
Step-by-step explanation:
First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:
volume ratio = dimension ratio ^3
surface area ratio = dimension ratio ^2
The volume ratio between small prism and the large prism is 27 / 64.
To find the dimensions ratio, we need to take the cubic root of the volume scale:
dimension ratio = 3√(27/64) = 3/4
Now, to find the surface area ratio, we just need to make the square of the dimension ratio:
surface area ratio = (3/4)^2 = 9/16
5 3/7<span> = 5.428571428571429 or 5.43</span>
