Answer:
4
Step-by-step explanation:
14 feet is the perimeter
to get the perimeter you need to add alll the sides together
if the length is 3 feet then u add
3 + 3 for both sides
then you subtract 6-14
and that is 8
then you divide it by 2 becuase u need it for one side not both sides combined
Answer: (-6, infinty)
Step-by-step explanation:
Answer:
All of them
Step-by-step explanation:
According to the ratio test, for a series ∑aₙ:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
(I) aₙ = 10 / n!
lim(n→∞) |(10 / (n+1)!) / (10 / n!)|
lim(n→∞) |(10 / (n+1)!) × (n! / 10)|
lim(n→∞) |n! / (n+1)!|
lim(n→∞) |1 / (n+1)|
0 < 1
This series converges.
(II) aₙ = n / 2ⁿ
lim(n→∞) |((n+1) / 2ⁿ⁺¹) / (n / 2ⁿ)|
lim(n→∞) |((n+1) / 2ⁿ⁺¹) × (2ⁿ / n)|
lim(n→∞) |(n+1) / (2n)|
1/2 < 1
This series converges.
(III) aₙ = 1 / (2n)!
lim(n→∞) |(1 / (2(n+1))!) / (1 / (2n)!)|
lim(n→∞) |(1 / (2n+2)!) × (2n)! / 1|
lim(n→∞) |(2n)! / (2n+2)!|
lim(n→∞) |1 / ((2n+2)(2n+1))|
0 < 1
This series converges.
3 and 1/2 can be rewritten as a fraction as 7/2.
7 can be written as 7/1.
When dividing by a fraction, simply multiply by the reciprocal.
7/2*1/7.
Then, cross multiply across the top.
7*1=7
2*7=14
So it's 7/14, which can be reduced to 1/2.
Answer:
1 -x -2 +2x = 10x -25 -x
Step-by-step explanation:
1-(x+2)+2x = 5(2x-5) - X,
Distribute
1 -x -2 +2x = 10x -25 -x
