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3 years ago

Which fraction is the reciprocal of 5 2/3?

2 answers:

7 0

B.

Okay, so the fraction 5 $\frac{2}{3}
$ ... 5, in terms of thirds, is 15/3, plus ⅔ = 17/3.
The reciprocal of that is just upside-down— 3/17.

xenn [34]3 years ago

4 0

You would need to make the fraction a improper fraction and reverse it. It's improper fraction would be 17/3, flip that around and you will get 17/3. The answer is B.

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Rudiy27

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1 year ago

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3 years ago

Read 2 more answers

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

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$S(t)=0.975^ts$

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$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

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$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

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3 years ago

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