Graph the function in part e performance task

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blayneaafedt

15.02.2022

Mathematics

$t_{\frac{1}{2}}=5730\\
N_0=120\ g\\
t=2t_{\frac{1}{2}}=2\cdot5730=11460\\
N(t)=?\\\\
N(t)=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{\frac{1}{2}}}}\\
N(11460)=120\cdot\left(\frac{1}{2}\right)^{\frac{11460}{5730}}\\
N(11460)=120\cdot\left(\frac{1}{2}\right)^2\\
N(11460)=120\cdot\frac{1}{4}\\
N(11460)=30\ g$

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