sarah1128 sarah1128

30-03-2019
Mathematics

contestada

If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?

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tramserran tramserran

30-03-2019

Answer: 1.58 hours

Step-by-step explanation:

[tex]5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t[/tex]

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