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valentina_108 [34]

2 years ago

6

The new school and my parents ordered me for my birthday cost $140.00 They were not happy that they had to pay 5% shipping fee w

hat was the total cost of my new scooter excluding the tax

1 answer:

ExtremeBDS [4]2 years ago

3 0

5% of 140 is 7 so the answer is $147

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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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Aleks04 [339]

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Step-by-step explanation:

The answer is 4

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2 years ago

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2 years ago

If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?

Alekssandra [29.7K]

Using the law of sines:

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Solve for b:

$\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}$

Answer:

7.708

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11 months ago