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dangina [55]
3 years ago
12

The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. after 3 hours

it is observed that 600 bacteria are present. after 10 hours 4000 bacteria are present. what was the initial number of bacteria? (round your answer to the nearest integer.)
Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
Ten thousand I believe let me know if wrong that’s what my math got
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<u>Solution:</u>

Given, Rob is making a tent out of canvas in the shape of a square pyramid.  Each side of the square base is 6 feet long, and the height is 6.3 feet.  

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As tent if filled with balloons the amount of balloons equals with volume of tent.

<em><u>Volume of tent is given as:</u></em>

\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}

where "a" is side length and "h" is height.

\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}

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