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Butoxors [25]
3 years ago
9

89. A scientist is studying the growth of a population of bacteria. At the beginning of her study, she has 800 bacteria. She not

ices that the population is quadrupling every hour.
c. Find the time, in hours, when there will be 5,120,000 bacteria. Express your answer as a logarithmic expression.
Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

\frac{log(6400)}{log(4)}

Step-by-step explanation:

The initial population of bacteria is 800 and we know that this number is quadrupling every hour.

<u>We're going to find a function in terms of t (time) that gives us the population of bacteria at that time.</u>

Since the population is quadrupling every hour the function in terms of t (where t is expressed in hours) is:

f(t)=800(4^{t})

Now we need to find the time when there will be 5,120,000 bacterias. This means the time t when f(t) = 5,120,000

So we have 5,120,000 = 800(4^{t})

5,120,000 = 800(4^{t})\\\frac{5,120,000}{800} =4^{t} \\6400=4^{t} \\log(6400) =t log(4)\\\frac{log(6400)}{log(4)} =t

Therefore, the time when there will be 5,120,000 bacterias will be:

\frac{log(6400)}{log(4)}

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Step-by-step explanation:

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2 years ago
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3 years ago
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boyakko [2]
The factors of 16 are 1, 2, 4, 8, and 16. 
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4 0
3 years ago
Hey, try this one out guys.
MrRissso [65]

Answer:

879cm

Step-by-step explanation:

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6 0
3 years ago
59 and/or 60. Determine if the triangles are similar. If they are similar, find the scale factor from ABC to JKL.
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9514 1404 393

Answer:

  59) not similar

  60)

Step-by-step explanation:

59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.

  7:8:12 ≠ 6:7:11

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60) The side length ratios both reduce to 8:7:10, so the triangles are similar.

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