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Alex_Xolod [135]
3 years ago
10

What is the exact volume of the cylinder? ​

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

15 is the volume of it

Step-by-step explanation:

hope I helped

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A bacterial culture starts with 500 bacteria and doubles in size every half-hour.
tekilochka [14]

Answer:

a). 32000

b). T_{t}=500\times 4^{t}

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

T_{n}=ar^{n}

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

T_{3}=500\times 4^{3}

T_{3}=32000  

b). After t hours number of bacteria will be represented by

T_{t}=500\times 4^{t}

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of \frac{2}{3} hours

By the formula,

T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}

T_{\frac{2}{3}}=1259.92 ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

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3 years ago
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