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Chemistry

1 answer:

Ostrovityanka [42]2 years ago

3 0

It is an adaptation

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Which of the following will most likely happen if you apply unbalanced forces to an object? It will change position. It will bec

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It will change position.

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What is a solute that dissolves in a solvent called

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A population of rabbits triples every 2 months If there are 2 rabbits initially, how long will it take for the population to inc

Bezzdna [24]

Answer:

The rabbit population will reach 500 after 10 months.

Explanation:

According to the given data:

The initial number of rabbit's equals 2.

Number of rabbit's after 2 months =2x3= 6

Number of rabbit's after 4 months = 6x3=18

Number of rabbit's after 6 months = 18x3=54

Number of rabbit's after 8 months = 54x3=162

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Now the general term of a geometric series with first term 'a' and common ratio 'r' is given by

$T_{n+1}=ar^{n}$

Thus we need to find when the term becomes 500 thus using the given data we have

$500=2\cdot 3^{n}\\\\3^{n}=250\\\\(n)log_3(3)=log_3(250)\\\\(n)=5.025\\\\$

Thus the fifth term (excluding the start term) will have a rabbit count of 500 now since each term has a time difference of 2 months thus sixth term will occur after $5\times 2=10months$