Answer the question in the image
1 answer:
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The partial fraction decomposition is
The fraction is given as:
Split the fraction as follows:
Take the LCM
Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:
Hence, the partial fraction decomposition is
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Hello!
The find the volume of a cone you divide the product of the base and height by 3. First we find the area using
r².
A=49(3.14)=153.86
Now we multiply this by the height.
153.86(18)=2769.48
Now we divide by 3.
2769.48/3=923.16
Now we divide this number by 21 to see how many days it will take for the container to become empty.
923.16/21=43.96≈44
Therefore, our answer is A) 44 days.
I hope this helps!
The find the volume of a cone you divide the product of the base and height by 3. First we find the area using
A=49(3.14)=153.86
Now we multiply this by the height.
153.86(18)=2769.48
Now we divide by 3.
2769.48/3=923.16
Now we divide this number by 21 to see how many days it will take for the container to become empty.
923.16/21=43.96≈44
Therefore, our answer is A) 44 days.
I hope this helps!