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ikadub [295]
3 years ago
7

le=" \sqrt[6]{x {}^{2}y {}^{3} } " alt=" \sqrt[6]{x {}^{2}y {}^{3} } " align="absmiddle" class="latex-formula">
express with fraction exponents instead of radicals​
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

6 x^2 y^3

Step-by-step explanation:

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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
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Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

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