Answer:
Chemicals in plastic-like lead, cadmium and mercury directly can come in contact with the humans. These toxins can cause cancers, congenital disabilities, immune system problems and childhood development issues. The other toxins like BPA or health-bisphenol-A are found in plastic bottles and food packaging materials.
Step-by-step explanation:
I can only give you little bit cause writing an essay is to much
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.
Answer:
2.2 or 2.18
Step-by-step explanation:
Answer:
13/20 of her money was spent.
Step-by-step explanation:
To find the answer you have to add these two fractions together, and to do that you must find a common denominator.
For this problem I chose to use 20 for the denominator since it is the smallest number that both 4 and 5 have in common.
Keep in mind that, whatever you do to the denominator, you must also do to the numerator, so if you multiply 5 by 4, you must also multiply 2 by 4.
5/20 + 8/20 = 13/20
