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olchik [2.2K]
2 years ago
14

A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the ba

cterial population be after 5 hours
Mathematics
1 answer:
faust18 [17]2 years ago
8 0

The number of bacterial population after 5 hours is; 816

  • The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

  • We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

  • Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

  • Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; brainly.com/question/15316908

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Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

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Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

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Either one would work. Hope this works.

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Answer:

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Step-by-step explanation:

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Moment of inertia about its perpendicular axis is \frac{MR^{2} }{2}. Moment of inertia of quarter disk about its perpendicular is \frac{MR^{2} }{8}.

Now using perpendicular axis theorem, Ix = Iy = \frac{MR^{2} }{16} = \frac{ρπR^{4} }{16}.

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

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