Answer:
24,28,32,36,40,.....
Step-by-step explanation:
It’s multiples of 4
<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:

The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:

Plug in the numbers.

A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.

V = 120 in^3
For lines to be perpendicular they would need to have opposite slopes, so for a slope of -3/7 the slope of a perpendicular line would be 7/3
<h2>
Answer:</h2>
Graph C
<h2>
Step-by-step explanation:</h2>
This is a piecewise-defined function because it is defined by two equations over a specified domain and this domain is
. The first function comes from the pattern of the square root function
and the second one is a linear function.
The graph of
has been shifted one unit to the left of
and stretched vertically where each y-value is multiplied by 3.
Moreover, we can prove that:
The graph of
passes through points (0,3) and (3,6):

It passes through these points.
The graph of
passes through points (5,0) and (3,2):

It passes through these points.
____________________
<h3>Finally, the graph is shown bellow and matches Graph C.</h3>
Answer: expression 1,3 and 4 are equivalent to 0.75t-21.
Step-by-step explanation:
Expression 1
3/4t-21
= 0.75t - 21
Expression 2
3/4( t-21)
Multiply through by 0.75
= 0.75 ( t - 21 )
= 0.75t - 15.75
Expression 3
0.75( t-28)
Multiply through by 0.75
= 0.75t - 21
Expression 4
t-0.25t-21
let t = 1
1-0.25t - 21
= 0.75t - 21
expression 1,3 and 4 are equivalent to 0.75t-21.