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MA_775_DIABLO [31]
4 years ago
9

In complete sentences explain how you would simplify √8/2.

Mathematics
1 answer:
Dovator [93]4 years ago
7 0

Answer:

To find the square root of any number you must see what the number that you are trying to find the square of then you look at it and think what number times itself equals this number that you are trying to find the square root of the you solve it...

But in this case you have to divide 8 by 2 then find the square root of 4 which is 2

So there is your answer, Hope this helps:)

Step-by-step explanation:

Well, the answer is 2.

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Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
salantis [7]

Answer:

9,942 bacteria were there at 10 hours.

Step-by-step explanation:

Equation for population decay:

The equation for population decay, after t hours, is given by:

P(t) = P(0)(1-r)^t

In which P(0) is the initial population and r is the decay rate, as a decimal.

Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.

This means that P(0) = 200000 and that when t = 18, P(t) = 900. So we use this to find r.

P(t) = P(0)(1-r)^t

900 = 200000(1-r)^{18}

(1-r)^{18} = \frac{900}{200000}

\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}

1 - r = (\frac{900}{200000})^{\frac{1}{18}}

1 - r = 0.7407

So

P(t) = P(0)(1-r)^t

P(t) = 200000(0.7407)^t

At this rate of decay, how many bacteria was there at 10 hours?

This is P(10). So

P(10) = 200000(0.7407)^{10} = 9941.5

Rounding to the nearest whole number:

9,942 bacteria were there at 10 hours.

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