Mathematics: The drug lorazepam, used to relieve anxiety and nervousness, has a half life of 14 hours. if a doctor prescribes one 2.5 milligram tablet every 24 hours, then what percentage of the last dosage remains in the patients body when the next dosage is taken

The volume of a cone is:Plug in the values (I am assuming not 1/18π but 1/18×π):Get rid of the radius: Continue:Remove the denominators:Divide both sides by π :...

The drug lorazepam, used to relieve anxiety and

Ответ:

hiyagirllyric

11.03.2022

Mathematics

$\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2.5\\ t=\textit{elapsed time}\dotfill &24\\ h=\textit{half-life}\dotfill &14 \end{cases} \\\\\\ A=2.5\left( \frac{1}{2} \right)^{\frac{24}{14}}\implies A=2.5\left( \frac{1}{2} \right)^{\frac{12}{7}}\implies A\approx 0.761883533878$

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Ответ:

kidzay

10.12.2021

Mathematics

The volume of a cone is:
$v = \frac{\pi {r}^{2} h }{3}$
Plug in the values (I am assuming not 1/18π but 1/18×π):
$\frac{1}{18} \pi = \frac{\pi { \frac{1}{3} }^{2} h}{3}$
Get rid of the radius:
${ \frac{1}{3} }^{2} = \frac{1}{9}$
Continue:
$\frac{\pi}{18} = \frac{\pi h}{3} \times \frac{1}{9} = \frac{\pi h}{18}$
Remove the denominators:
$\pi = \pi h$
Divide both sides by π :
h = 1

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The drug lorazepam, used to relieve anxiety and nervousness, has a half life of 14 hours. if a doctor prescribes one 2.5 milligram tablet every 24 hours, then what percentage of the last dosage remains in the patients body when the next dosage is taken

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