I think it is true. But Please don't take my word on it.
<u>Answer:</u>
<em>First Equation → </em><u><em>y = 21/4</em></u>
<em>Second Equation → </em><u><em>x = -1/57</em></u>
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<u>Explanation:</u>
<em>solving equation #1</em>
<em></em>
step 1 - simplify
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step 3 - multiply each side of the equation by six
step 4 - add three to both sides of the equation.
step 5 - add three y to both sides of the equation.
step 6 - simplify
step 7 - divide both sides of the equation by four
Therefore, the solution to the first given equation is <u><em>y = 21/4 </em></u><em>or y = 5.25.</em>
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<em>solving equation #2</em>
<em />
step 1 - simplify.
step 2 - multiply each side of the equation by five.
step 3 - subtract twenty x from each side of the equation.
step 4 - divide each side of the equation by negative nineteen.
step 5 - switch
Therefore, the solution to the second equation is <em><u>x = -1/57.</u></em>
Answer:
1920π
Step-by-step explanation:
First, you need to find the volume of the statue in terms of pi.
Volume of cylinder formula:
V=πr²h
V=π4²15
V=π16×15
V=240π
Then, you need to find the mass of the statue.
Mass:
Mass= density × volume
Mass=20×240π
Mass=4800π
Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:
V=mass of sand/density
V=4800π/2.5
That gives you your answer:
1920π
Note: I had to do the exact same problem on Khan Academy. This is right.
x-coordinates for the maximum points in any function f(x) by f'(x) =0 would be x = π/2 and x= 3π/2.
<h3>How to obtain the maximum value of a function?</h3>
To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
we want to find x-coordinates for the maximum points in any function f(x) by f'(x) =0
Given f(x)= 4cos(2x -π)
In general
from x = 0 to x = 2π :
when k =0 then x = π/2
when k =1 then x= π
when k =2 then x= 3π/2
when k =3 then x=2π
Thus, X-coordinates of maximum points are x = π/2 and x= 3π/2
Learn more about maximum of a function here:
brainly.com/question/13333267
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