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vredina [299]
4 years ago
9

Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Mathematics
1 answer:
Fed [463]4 years ago
6 0

Answer:

\large \boxed{\text{0.0462 min}^{-1}}

Step-by-step explanation:

One formula for the reproduction of bacteria is

\dfrac{N}{N_{0}} = e^{kt}

Data:

N = 2

N₀ = 1

  t = 15 min

Calculation:

\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}

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