Let
. Then
. Note that
.
Recall that for
, we have

This means that for
, or
, we have

Integrate the series to get


Answer:
-0.574
Step-by-step explanation:
Subtract the two numbers to get the solution
Answer:
Could you please help me with the two most recent questions of mine on my page? I will give u brainliest and 20 points! :))) X
Step-by-step explanation:
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.
Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60