The first place and 15th place are already decided, so we have to find the number of <span>different ways that the </span>other<span> 13 students can line up, in the places from 2 to 14.</span>
2nd place can be any one of 13 people. For each of those . . .
3rd place can be any one of 12 people. For each of those . . .
4th place can be any one of 11 people. For each of those
13th place can be any one of 2 people. For each of those
14th place has to be the one student who is left.
Total number of ways that 13 students can line up in places 2 through 14 is
(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
<span>That number is called "thirteen factorial". The number is </span>6,227,020,800<span> . </span>
<span>When you write it in math, you write it like this:</span><span>13</span>
perimeter of a shape is just adding all side lengths together. Since it is a square, all sides are the same so just multiply 16.5 x 4
which is = 66 m.
Answer: Second option.
Step-by-step explanation:
Below are some transformation for a function f(x):
If 
then the function is shifted up "k" units.
If 
then the function is shifted down "k" units.
If 
then the function is shifted "k" units to the left.
If 
then the function is shifted "k" units to the right.
Knowing this tranformations and given the parent function 
and the function 
, we can conclude that the function g(x) is shifted 2 units to the right and 7 units up.
We can observe that this matches with the second option.
To simplify this, we first need to distribute the 2 into the parenthesis.
= 2 * x + 2 * 3 - 4
Now, we can simplify:
= 2x + 6 - 4
= 2x + 2
Hope this helps!
