Height of the water increasing is at rate of
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
<h3>Formula used: </h3>
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12×12×12×12×12 is equivalent to 12^5 (a^b means a is to be written down B times all being multiplied.)
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Let's do this step by step!
We must convert 24/40 to a decimal before we can find out what percentage of 40 is 24.
To convert 24/40 to a decimal, we must multiply the numerator (24) by the denominator (40):
24 ÷ 40 = 0.6
Now that we have the decimal form, we will multiply the decimal by 100 to convert it to a percentage.
0.6 × 100 = 60
24/40 = 60%
A N S W E R
60% of a lawn is planted with Kentucky blue grass.
Vertex form is
y = a(x - b)^2 + c
here a = -3 and b = -18 so we have
y = a(x + 3)^2 - 18
when x = 0 , y= 0 ( the y-intercept) so:-
0 = a(3^)2 - 18
9a = 18
a = 2
so the parabola is y = 2(x + 3)^2 - 18
x intercepts found as follows:-
2(x + 3)^2 - 18 = 0
(x + 3)^2 = 9
x + 3 = +/- sqrt9 = +/- 3
so x intercepts are 0 and -6 Answer
Answer: 31,536,000
Step-by-step explanation: