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taurus [48]
2 years ago
7

A 48 gram sample of a substance that’s used for drug research has a k value of 0.1325

Mathematics
1 answer:
Lyrx [107]2 years ago
3 0

Using an exponential function, it is found that the half-life of the substance is of 5.23 units of time.

<h3>What is the exponential function for the amount of a substance?</h3>

The function is given by:

A(t) = A(0)e^{-kt}

In which:

  • A(0) is the initial value.
  • k is the exponential decay rate.

The parameters are given by:

A(0) = 48,  k = 0.1325.

Hence the equation is:

A(t) = 48e^{-0.1325t}

The half-life is the amount of time for which A(t) = 0.5A(0) = 24, hence:

A(t) = 48e^{-0.1325t}

24 = 48e^{-0.1325t}

e^{-0.1325t} = 0.5

\ln{e^{-0.1325t}} = \ln{0.5}

0.1325t = -\ln{0.5}

t = -\frac{\ln{0.5}}{0.1325}

t = 5.23.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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