We appreciate your visit to A culture of bacteria has an initial population of 980 bacteria and doubles every 9 hours Using the formula P t P 0 cdot 2. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer: pt=2667.1484≈2667
Thanks for taking the time to read A culture of bacteria has an initial population of 980 bacteria and doubles every 9 hours Using the formula P t P 0 cdot 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
The population of bacteria in the culture after 13 hours is approximately 2704 bacteria, rounded to the nearest whole number.
To calculate the population of bacteria in the culture after 13 hours, using the provided formula [tex]P_t = P_0 \cdot 2^{\frac{t}{d}}[/tex], we can plug in the values: [tex]P_0[/tex] (initial population) = 980, t (time in hours after start) = 13, and d (doubling time in hours) = 9. The calculation will look like this:
[tex]P_t = 980 \cdot 2^{\frac{13}{9}}[/tex]
This formula represents exponential growth, where the population doubles after every set period of time, in this case, every 9 hours. The solution is as follows:
- Calculate the exponent: 13/9 ≈ 1.4444.
- Calculate 2 to the power of 1.4444.
- Multiply the initial population by this value: 980 * [tex]2^{1.4444}[/tex].
Using a calculator, we find:
- [tex]2^{1.4444}[/tex] ≈ 2.7595.
- Therefore, [tex]P_t[/tex] ≈ 980 * 2.7595 ≈ 2704.31.
To the nearest whole number, the population of bacteria after 13 hours would be 2704.
