If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 
and 
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.
The derivative of this function is
and it equals zero if and only if
If we evaluate the volume function at these points, we have
So, the maximum volume is given if you cut a square with side length
Answer:
Step-by-step explanation:
Ok let start by putting a set amount of hats, let start with 12, 8 times 12 equals 96, 200-96 is 104… I would subtract 8 until you get a number you can divide equally by 10, 104-8=96, 96-8 =88 , 88-8=80, there is 80 dollars left! Ok 80 divide by 10 = 8 so
8 shirts and we’ll we started at 12 and then we add how many more time we subtracted 8 so 15 total,
So, in total 8 shirts and 15 hats!!!
The hypothesis is if you win the championship the conclusion is you will get the trophy
Theoretical probability is data from our experiment , Experimental is our prediction
