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Leto [7]
3 years ago
8

An atom has 24 protons and 12 neutrons what is the chemical symbol for the atom?

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

<u>Answer:</u>

The element is Chromium.

<u>Explanation:</u>

The atom has 24 protons and 12 neutrons.

We know that Cr has 24 number of protons, to the Chemical is Cr (Chromium)

Again, we know that the atomic number is the number of protons and the atomic mass is the sum of proton and neutron.

So, the atomic number is 24 and the atomic mass is (24+12)= 36

Therefore, the symbol is \bold^{36} \mathrm{Cr}_{24}\bold

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What is the next term of the arithmetic sequence?<br> 6,2, -2, -6,
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3 years ago
Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e
Bingel [31]
Assuming the series is

\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}

The series will converge if

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|

We have

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

So the series will certainly converge if -1, but we also need to check the endpoints of the interval.

If x=1, then the series is a scaled harmonic series, which we know diverges.

On the other hand, if x=-1, by the alternating series test we can show that the series converges, since

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and is strictly decreasing.

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6 0
3 years ago
What is 0.16666666...as fraction .show your work
Alecsey [184]
<h3>Answer:   1/6</h3>

Work Shown:

x = 0.1666666...

10x = 1.666666...

100x = 16.666666...

100x - 10x = 16.666666... - 1.666666...

90x = 15

x = 15/90

x = (1*15)/(6*15)

x = 1/6

So, 1/6 = 0.1666666...

8 0
3 years ago
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