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patriot [66]
3 years ago
15

I already know the answer but need help getting the remainder for 89,736 divided by 40

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

when you divide

89736÷40 the answer is 221 with the remainder 16.

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Element X decays radioactively with a half life of 12 minutes. If there are 160
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Answer:

It would take 75.8 minutes for the element to decay to 2 grams.

Step-by-step explanation:

The number of grams of element x, after t minutes, is given by the following equation:

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X(t) = X(0)(1-r)^{t}

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This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So

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So

X(t) = 160(1-r)^{t}

X(t) = 160(0.9438)^{t}

How long would it take for the element to decay to 2 grams?

This is t for which X(t) = 2. So

X(t) = 160(0.9438)^{t}

2 = 160(0.9438)^{t}

(0.9438)^{t} = \frac{2}{160}

\log{(0.9438)^{t}} = \log{\frac{2}{160}}

t\log{0.9438} = \log{\frac{2}{160}}

t = \frac{\log{\frac{2}{160}}}{\log{0.9438}}

t = 75.8

It would take 75.8 minutes for the element to decay to 2 grams.

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