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Gemiola [76]
2 years ago
12

What is the logarithmic formula 10000= 625/8*2^t ?

Mathematics
1 answer:
Elodia [21]2 years ago
8 0

9514 1404 393

Answer:

     log(128) = t·log(2)

Step-by-step explanation:

You can take logarithms the way the formula is, or you can simplify it first.

<u>As is</u>

  log(10000) = log(625) -log(8) +t·log(2)

__

<u>Simplified</u>

  8·10000/625 = 2^t . . . . . multiply by 8/625

  128 = 2^t

  log(128) = t·log(2)

_____

Solution:

  t = log(128)/log(2) = 7

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
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Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

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We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

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2 years ago
Why is 15 + 1/2 an algebraic expression?
Marat540 [252]

Answer:

There is no equal sign.

Step-by-step explanation:

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5 0
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Savatey [412]
The four?

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To get irrationals we could just add a teeny irrational to the ones we just generated, like \frac{6}{10} + \frac{\pi}{100}

We could just change that denominator a bit and get as many as we like.

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Keeping with the trig theme, also in between are

\dfrac{\pi} 6

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In which step did Honi make the mistake
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