Answer:
69.66
Step-by-step explanation:
Since
are in arithmetic progression,




and since
are in geometric progression,




Recall that


It follows that

so the left side is

Also recall that

so that the right side is

Solve for
.

Now, the numerator increases more slowly than the denominator, since


and for
,

This means we only need to check if the claim is true for any
.
doesn't work, since that makes
.
If
, then

If
, then

If
, then

There is only one value for which the claim is true,
.
The median would be the middle data point. Let’s list the points
25, 26, 31, 39, 32, 57
Put them in order from least to greatest
25, 26, 31, 32, 39, 57
There is an even amount of data so take the two center points and divide by 2
31 + 32 = 63
Divide by 2
31.5
There would be an average of 31.5 strokes
Answer: 4 seconds
Step-by-step explanation:
Given: The function
can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.
Differentiate the given function with respect to t , we get

Put h'(t)=0

Also, 
By second derivative test, h(t) is maximum at t=4.
Hence, the time in Devon which the ball reaches it maximum height = 4 seconds
Answer:
ok so it basically means reducing a mixed number to its simplest form.