Answer:
4.1 in
Step-by-step explanation:
now we multiply pi and 10.71- i left it in the hundreths
place when i get my final answer ill round it to the tenths)
, we need the 
alone so we now dive with 33. 62 on both sides, elimenating the 33.62. Now 751/ 33.62= 16.98.
now we square root it
= 4.12 which rounded is 4.1
Answer:
a) -8/9
b) The series is a convergent series
c) 1/17
Step-by-step explanation:
The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.
If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r
a is the first tern of the series.
a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;
∑(-8)^(n−1)/9^n
= ∑(-8)^(n−1)/9•(9)^n-1
= ∑1/9 • (-8/9)^(n−1)
From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9
The common ratio r = -8/9
b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.
c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.
S∞ = a/1-r
Given a = 1/9 and r = -8/9
S∞ = (1/9)/1-(-8/9)
S∞ = (1/9)/1+8/9
S∞ = (1/9)/17/9
S∞ = 1/9×9/17
S∞ = 1/17
The sum of the geometric series is 1/17
Answer:
Michelle is correct.
Step-by-step explanation:
The statement Michelle said is valid and correct since 10 to the power of 3 in the denominator is equivalent to 0.001 in the numerator.
Dividing by 1,000 is the same as multiplying by 0.001.
Answer:
396
Step-by-step explanation:
15x6= 90,Therefore you found one side, now you need to multiply by 4 because their is 4 sides.
90x4= 360
6x6=36
Add them all together, 360+36= 396.
