Answer:

Step-by-step explanation:
So we have the two functions:

And we want to find f(g(-2)).
First, let's find g(-2):

Multiply:

Subtract:

Now, substitute:

Now, find the value of f(-20):

Multiply:

Add:

So:

And we're done!
Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is
ft.
Height of Skateboard ramp is
ft.
From figure,
It is forming a Right angle triangle
.
In
,
and
.
Clearly see that we need to find measure of angle
.
Using Trigonometric ratio:

So, 
Then 
Therefore, Angle made by ramp with ground is ≈
Solution for x^2+5x=150 equation:
<span>Simplifying
x2 + 5x = 150
Reorder the terms:
5x + x2 = 150
Solving
5x + x2 = 150
Solving for variable 'x'.
Reorder the terms:
-150 + 5x + x2 = 150 + -150
Combine like terms: 150 + -150 = 0
-150 + 5x + x2 = 0
Factor a trinomial.
(-15 + -1x)(10 + -1x) = 0
Subproblem 1Set the factor '(-15 + -1x)' equal to zero and attempt to solve:
Simplifying
-15 + -1x = 0
Solving
-15 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15
Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15
Combine like terms: 0 + 15 = 15
-1x = 15
Divide each side by '-1'.
x = -15
Simplifying
x = -15
Subproblem 2Set the factor '(10 + -1x)' equal to zero and attempt to solve:
Simplifying
10 + -1x = 0
Solving
10 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10
Combine like terms: 0 + -10 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10Solutionx = {-15, 10}</span>
Answer:
The mean for Stem is 2.5
The mean for Leaf is 81.25
Answer:
Step-by-step explanation:
Discussion
Where does that 682 come from? It cannot be the surface area of a cube with a side of 50 inches.
The edge length is 50 inches, so s = 50
SA = 6 * 50^2
SA = 15000 in^2
Answer: So at the very minimum, you need <u>15000</u> square inches of wrapping paper.