<h3>
Answer: 64</h3>
Explanation:
If there are n = 6 items in the set, then there are 2^n = 2^6 = 64 subsets
This is because there are 2 choices per slot. Either the item is in the subset or not. Since we have 6 slots, and 2 choices per slot, we have (2*2*2)*(2*2*2) = 2^6 = 64 different combos.
Side note: The empty set is included as one of the subsets. Also, the original set itself is a subset.
Answer: Option D

Step-by-step explanation:
Note that the projectile height as a function of time is given by the quadratic equation

To find the maximum height of the projectile we must find the maximum value of the quadratic function.
By definition the maximum value of a quadratic equation of the form
is located on the vertex of the parabola:

Where 
In this case the equation is: 
Then

So:


Answer:
True
Step-by-step explanation:
I think the answer might be C
Answer:
the length is 8ft
the width is 3ft
Step-by-step explanation:
Step one:
given
perimter= 22ft
let the length be x
width = x-5
Step two
the expression for the perimeter of a rectangle is
P=2L+2W
substituting our data
22= 2(x)+2(x-5)
open brackets
22=2x+2x-10
collect terms and solve for x
22+10=4x
32=4x
divide both sides by 4
x= 32/4
x= 8ft
the length is 8ft
the width = x-5= 8-5= 3ft