4 years ago

22.5+7(n-34) simplified

Mathematics

1 answer:

Aneli [31]4 years ago

7 0

$22.5 + 7n - 238 \\ 7n - 215.5$

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Situation: a 25 gram sample of a substance that’s used for drug research has a K-value of 0.1205

Lelu [443]

The decay model is given as

$N=N_0e^{-Kt}$

The substance's half-life is the time it takes for the substance to decay to half its original amount. In other words, it's the time $t$ such that $N=\dfrac{N_0}2$ . Substituting into the model, you have

$\dfrac12=e^{-Kt}$

You can solve for $t$ now.

$\dfrac12=e^{-Kt}$
$\implies\ln\dfrac12=\ln e^{-Kt}$
$\implies-\ln2=-Kt\ln e$
$\implies\dfrac{\ln2}K=t\approx5.7523\text{ days}$

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3 years ago

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RUDIKE [14]

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Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!