Answer:
5/2
Step-by-step explanation:
5/2
<em>Denote x2 by y.
</em>
<em> </em>
<em>(x2-3)7=(y-3)7
</em>
<em> </em>
<em>This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
</em>
<em> </em>
<em>You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
</em>
<em> </em>
<em>7!/(4!3!)=35</em>
<em />
<em>So, the coefficient of x8 in the given expansion will be 210.</em>
<em>HOPE IT HELPS</em>
<em>THANK YOU </em>
ANSWER

EXPLANATION
The volume of a cylinder is given by the formula:

The given cylinder has diameter 6. This means that, the radius is


The is height is


We substitute the values into the formula to obtain;



The volume is

to the nearest hundredth
Simplify 2/3 - 1/7 to 11/21
10/21 + 11/21
Simplify
The answer is 1.