Answer:
Below in bold.
Step-by-step explanation:
c) 3 x (9^2)^3/4 x ((81^3)^5/6
= 3 x 81^3/4 x 81^15/6
= 3 x 81^(3/4 + 15/6)
= 3 x 81^13/4
= 3 x 3^13
= 3^14
= 4,782,969.
f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2
= 5^-2 x^2y^-4 / 625 x^4y^-2
= 5^-2 x^-2 y^-2 / 5^4
= 5^-6 x^-2y^-2
= 0.000064x^-2y^-2.
5 carrots, I found my answer by dividing 20 and 1/4
a. At its maximum height, the ball has zero vertical velocity, so


b. The ball's height in the air
at time
is given according to

Solve for
when
:

Answer:
The required relation is,
=
Step-by-step explanation:
We know that for a certain amount of dry gas when the pressure is kept constant it's volume V and temperature T is related by the function,
V = cT -----------------------(1) [where "c" is a constant]
So, in that case rate of change of volume(V) with respect to time (t),
= 
will be equal to ,

where
is equal to rate of change of temperature (T) with respect to time (t) and c is the constant stated before.
So, the required relation is,
=
The solution of the given logarithmic equation is x = 28.1
<h3>
How to solve the logarithmic equation?</h3>
Here we have the logarithmic equation:
4*ln(x - 8) = 12
And we want to solve this for x.
Remember the relations:

First, we divide both sides by 4:

Then, if we apply the exponential equation to both sides of our equation, we get:

If you want to learn more about logarithmic equations:
brainly.com/question/236421
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