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NISA [10]
3 years ago
15

A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho

w long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes hours for the number of bacteria to increase to 300.
Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0
<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)

<em>Start</em> is the original amount

<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

and 299.94≅300

Have a nice day!

Rina8888 [55]3 years ago
3 0

Answer:

23.77

Step-by-step explanation:

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We can round numbers to estimate.

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John needs to save around $240 more in order to be able to afford the bike.

Hope this helps!
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37 points! The square root of 83 can be plotted on the number line below.
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9.1 is the nearest tenth

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2 years ago
Can someone help me solve. I'm not sure if I did it right.
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X≤-8

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Area of the square: 29.0

Step-by-step explanation:

The area of a square is given by

A=L^2

where

L is the length of the side of the square

The sides of a square all have the same length, so here we just need to find the length of one side.

The length of the side of the square here is the distance between two vertices, which can be calculated as

L=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where

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(x_2,y_2) are the coordinates of the 2nd vertex

By taking the two vertices (3,6) and (1,1), we find

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Learn more about area of a figure:

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