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Mar 29, 2015 · How do you find the number of bacteria after t hours if a bacteria culture contains 300 cells initially and grows at a rate proportional to its size and after two hours the population has increased to 420 cells? Algebra Exponents and Exponential Functions Applications of Exponential Functions. 1 Answer
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(a) Find an expression for the number of bacteria after t hours. (Round yo P(t) = 50e1.94527 (b) Find the number of bacteria after 6 hours. (Round your answer to the D61 5856752 bactori ET9 3.8.003. MY NOTES ASK YOUR TEACHER Is. When Introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 13 hours the populations
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Oct 03, 2015 · 0. 0. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria after t hours. y ( t) = y ( 0) e k t = 100 e k t. y ( 0) = 100. y ( 1) = 420. y ( 1) = 100 e k ( 1) 100 = 420 100.
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The number of bacteria after {eq}t=4\; \rm hours {/eq} can be found evaluating {eq}N(4) {/eq}, {eq}N(4)=500e^{0.92\cdot 4}=20159. {/eq} After four hours there are {eq}20159 {/eq} bacteria in the ...
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That's equivalent to 4.2. So our model is p of t equals 100 times 4.2 raised to the power T. Okay, let's move on to part B in this part. We went to find the number of bacteria after three hours. So we're using the model that we just came up with. P of t equals 100 times, 4.2 to the T and we're going to substitute three in there.
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Feb 07, 2017 · (a) Find an expression for t... A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 3 hours there are 8000 bacteria.
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