Answer:

Step-by-step explanation:
Given

Required
Determine the period
A sine function is represented as:

Where

By comparing:
and 

So:

So, we have:



Hence, the period of the function is 
Volume of a cone:


r²h
Plug the radius and volume in the formula.


10²h = 942
Divide both sides by

.

10²h = 2,826
Divide both sides by pi.
10²h = 900
Divide both sides by 10² (100).
h = 9
The cone's height is 9 units.
Answer:
B. f(x) = 5(x/4) - 3 and g(x) = [4(x + 3)]/5
Step-by-step explanation:
In the figure attached, the question is shown (the order of the options are different).
To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:
f(x) = 5(x/4) - 3
x = 5(g(x)/4) - 3
Next, isolate g(x), as follows:
x + 3 = 5(g(x)/4)
4(x + 3) = 5g(x)
[4(x + 3)]/5 = g(x)
Answer:
<em>300watts</em>
Step-by-step explanation:
Given the power generated by an electrical device modeled by the equation
P(x) = -12x²+120x
The maximum power generated occurs when dP(x)/dx = 0
dP(x)/dx = -24x+120 = 0
-24x + 120 = 0
-24x = -120
x = 120/24
x = 5
Substitute x = 5 into the modeled function to get the maximum power as shown;
Recall that: P(x)=-12x^2+120x
P(5) = -12(5)² + 120(5)
P(5) = -12(25) + 600
P(5) = -300+600
P(5) = 300
<em>Hence the maximum power generated by the circuit is 300watts</em>