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zvonat [6]
3 years ago
9

Explain how you can use reasoning to compare two fractions with the same denominator.

Mathematics
1 answer:
scoray [572]3 years ago
5 0
Since if a denominator and another are the same you have the best opportunity to add subtract or do what you think is best
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2 years ago
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PIT_PIT [208]

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\boxed{\textbf{1700 yr}}

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-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

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\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

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