So there are 50 teens total
16% have no sibblings
so we must find 16% of 50
16%=16/100=0.16
'of' can be translated as multiply so
0.16 times 50=8
there were 8 teens who have no sibblings
See the attached picture:
Answer:

Step-by-step explanation:
= Surface area of base = 5 square meters
Volume of water in tank = 70 cubic meters
The rate at which the volume is reducing is

Integrating from
to 

Volume of water remaining in the tank is 
Suface area of base
depth = Volume

The depth of the water remaining in the tank is
.
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is

Taking the first derivative of this with respect to
and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of
w.r.t
is

And setting this = 0 gives

Eliminating
on both sides and solving for
gives us
Plugging this value of
into the original equation gives us

This is the maximum value that the function can acquire. The attached graph shows this as correct