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vovikov84 [41]
3 years ago
11

I need help with this plz

Mathematics
1 answer:
Sauron [17]3 years ago
6 0
48 c atoms
88 h atoms
44 o atoms
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Answer the question with explanation;​
PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0

Therefore, by the series divergence test, the series \sum_{n=1}^\infty\frac{n^2}{(n+1)^2} diverges.

EDIT: To VectorFundament120, if (x_n)_{n\in\mathbb N} is a sequence, both \lim x_n and \lim_{n\to\infty}x_n are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0
3 years ago
Read 2 more answers
4a+6b=10<br> 2a-4b=12<br><br> what does 12a =?
Usimov [2.4K]
If you have at least as many equations as your have unknown variables, the 'system' is solvable (unless the equations are copies of eachother).

In this case, isolate one letter and plug it in the other. I'm going for the 2a in the bottom one (it doesn't matter)

2a - 4b = 12 => (divide by two and move the b's to the other side)

a = 6 + 2b. (plug this one into the top equation)

4(6+2b) + 6b = 10 => 24+8b+6b = 10 => 24 + 14b = 10 => 14b = -14 => b=-1

a = 6 + -2 = 4.

So a=4 and b=-1. 


4 0
3 years ago
Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and
Angelina_Jolie [31]

it would be 4.5 total

6 0
3 years ago
Complete the table:​
Oksi-84 [34.3K]

Answer:

Fraction                            Percentage                                  Decimal

    ¹/₅                                        20%                                           0.2

    ¹/₄                                        25%                                         0.25

    ¹/₂                                        50%                                           0.5

    ²/₃                                      66.6%                                        0.6

Fraction;

25/100 = 1/4

66.6/100 = 2/3

Percentage

1/5 * 100 = 20%

1/2 * 100 = 50%

Decimal

1/5 = 0.2

25/100 = 0.25

1/2 = 0.5

3 0
2 years ago
Help! 10 points available
miss Akunina [59]

the answer should be c

8 0
3 years ago
Read 2 more answers
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