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alexira [117]
1 year ago
7

The bacteria in a Petri dish culture are self-duplicating at a rapid pace.

Mathematics
1 answer:
tester [92]1 year ago
8 0

Answer:

66.44 Minutes

Step-by-step explanation:

The number of Bacteria, B(t) at any time t(in minutes) is given by the function:

B(t)=100\cdot 2^{t/10}

We want to determine the time(in minutes) for the culture to achieve 10,000 bacteria.

Therefore:

10000=100\cdot 2^{t/10}

Divide both sides by 100

100=2^{t/10}\\$Change to logarithm form\\Log_{2}100=t/10\\\dfrac{Log 100}{Log 2}= \dfrac{t}{10}\\t=10*\dfrac{Log 100}{Log 2}\\t=66.44 $ minutes (correct to the nearest hundredth)

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<span>This question is a simple one. To answer this question, you need to understand the description in the question and determine to multiply or divide the number.

The first problem would be:
50.75 x 0.18= 9.135
</span>If you need to estimate, 50.75 is near 50; 0.18 is near 0.2 or 1/5 so it would be: 50/0.2= 10<span>

The second problem would be:
196 / 0.499: 392.785 
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1 year ago
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A pool is comprised of a rectangle with 2 semicircles on the ends.
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Answer:

Step-by-step explanation:

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A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a funct
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Answer:

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Step-by-step explanation:

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Required

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From the question, we have that the edge of the cube increases in a minute by 5 feet

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2 years ago
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Step-by-step explanation:

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