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kondor19780726 [428]
4 years ago
5

All equilateral triangles are also isosceles triangles.

Mathematics
2 answers:
Tpy6a [65]4 years ago
8 0

Answer:

True

Step-by-step explanation:

Isosceles triangles are a subset of equilateral triangles

Equilateral have all three sides the same while isosceles have at least 2 sides the same

Equilateral have all three angles equal while isosceles have at least 2 angles equal

Fudgin [204]4 years ago
8 0

Answer:

Yes

Step-by-step explanation:

An equilateral triangle is one where all three sides are of equal length.  (3)

An isosceles triangle has at least two sides of equal length. (2)

But, if it's the other way around than no

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Vikki [24]

I guess the series is

\displaystyle\sum_{n=1}^\infty\frac{2^nn!}{n^n}

We have

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{2^{n+1}(n+1)!}{(n+1)^{n+1}}}{\frac{2^nn!}{n^n}}\right|=2\lim_{n\to\infty}\left(\frac n{n+1}\right)^n

Recall that

e=\displaystyle\lim_{n\to\infty}\left(1+\frac1n\right)^n

In our limit, we have

\dfrac n{n+1}=\dfrac{n+1-1}{n+1}=1-\dfrac1{n+1}

\left(\dfrac n{n+1}\right)^n=\dfrac{\left(1-\frac1{n+1}\right)^{n+1}}{1-\frac1{n+1}}

\implies\displaystyle2\lim_{n\to\infty}\left(\frac n{n+1}\right)^n=2\frac{\lim\limits_{n\to\infty}\left(1-\frac1{n+1}\right)^{n+1}}{\lim\limits_{n\to\infty}\left(1-\frac1{n+1}\right)}=\frac{2e}1=2e

which is greater than 1, which means the series is divergent by the ratio test.

On the chance that you meant to write

\displaystyle\sum_{n=1}^\infty\frac{2^n}{n!n^n}

we have

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{2^{n+1}}{(n+1)!(n+1)^{n+1}}}{\frac{2^n}{n!n^n}}\right|=2\lim_{n\to\infty}\frac1{(n+1)^2}\left(\frac n{n+1}\right)^2

=\displaystyle2\left(\lim_{n\to\infty}\frac1{(n+1)^2}\right)\left(\lim_{n\to\infty}\left(\frac n{n+1}\right)^n\right)=2\cdot0\cdot e=0

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3 years ago
Which is the value of x that makes the given equation true? Show all the steps to prove your answer is correct.
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3 years ago
Which number is equal to –906,060? –9. 0606 Times. 105 –9. 06 Times. 105 9. 06 Times. 10–5 9. 0606 Times. 10–5.
Nostrana [21]

The B option is correct.

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Given

A number is -906,060.

<h3>To find </h3>

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<h3>How to find the equivalent number of the given number?</h3>

We know the number is -906,060.

It can be represented as \rm -906,060 =  -9.0606 \ times\ 10^5.

Thus, the B option is correct.

More about the exponent link is given below.

brainly.com/question/5497425

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