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prisoha [69]
3 years ago
9

Please complete the ratios below? : 44 = 2 : 11? : 14 = 5 : 2

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

For the first problem, you need to divide 44 by 11, and multiply that quotient by 2 to get 8:44.

The second problem has the same steps:

14/2 = 7, 7*5 = 35. 35:14

Hope this helps! Good luck!!

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A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
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<h2>Hello!</h2>

The answer is: 23.77 hours

<h2>Why?</h2>

Total(t)=Start*2^\frac{t}{15}

Where:

Total(t) is equal to the amount for a determined time (in hours)

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<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

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Have a nice day!

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