If I have a 7/8 gallon of bottled water. How many 3/16 gallon servings can I pour?

Mathematics

1 answer:

OleMash [197]3 years ago

7 0

Answer:

Is this a multiple choice question or do you actually have to fill it in? I think it might be 4

Step-by-step explanation:

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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.

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2 years ago

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In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of

worty [1.4K]

Answer:

France = 15, Italy = 14, Korea = 13

Step-by-step explanation:

We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.

let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15

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3 years ago

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Help me (22 Points Will also Make Brainliest)

Over [174]

Answer:

1 orange, apple 1 3/5, blueberries 1 1/4, peaches 1 7/9

Step-by-step explanation:

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3 years ago

What is the equation of the line in slope-intercept form?

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