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LiRa [457]
3 years ago
9

Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria do

ubled each day-from 5 to 10, then from 10 to 20, and so on. Is the population of bacteria a function of the number of days? If so, is it linear? Explain your reasoning.
Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

The population of bacteria can be expressed as a function of number of days.

Population = \[5*2^{n-1}\] where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day=\[5 * 2^{0} = 5\]

Number of bacteria on the second day = \[5 * 2^{1} = 10\]

Number of bacteria on the third day = \[5*2^{2} = 20\]

Number of bacteria on the fourth day = \[5*2^{3} = 40\]

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as \[5*2^{n-1}\] where n is the number of days since the beginning.

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Step-by-step explanation:

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No problem!

The law we will use here is "power of a power".

What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. (\boldsymbol{4\cdot9})

So the right answer is: Choice [D] - "Power of a power"

The simplified answer is \LARGE\boldsymbol{x^{4\cdot9}=x^{36}}

Voila! There's our answer, cheers!

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Hope that this helped! Best wishes.

\it Reach\;far.\;Aim\;high.\;Dream\;big.}

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7 0
1 year ago
Solve for x: 3+(-5)x=19
malfutka [58]
3+(-5)x=19
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4 0
3 years ago
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Answer:

Capital value after 1 year will be equal to $45150

Step-by-step explanation:

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