2 years ago

Simplify: (8^2/3)^4

Mathematics

1 answer:

tia_tia [17]2 years ago

7 0

Hello!

The answer is 207,126 10/81!

Hopefully this helps! :D

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2 years ago

The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), whe

AleksandrR [38]

Using the inverse function, it is found that the equation is:

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is 20.

---------------------------

We want to find the inverse of:

$y = P^{-1}(t) = 10\ln{50t - 1000}$

To do this, we <u>exchange y and t, and isolate y.</u>

Then:

$10\ln{50y - 1000} = t$

$\ln{50y - 1000} = \frac{t}{10}$

$e^{\ln{50y - 1000}} = e^{0.1t}$

$50y - 1000 = e^{0.1t}$

$50y = e^{0.1t} + 1000$

$y = \frac{e^{0.1t} + 1000}{50}$

$y = \frac{e^{0.1t}}{50} + \frac{1000}{50}$

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is:

$P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02$

Rounding, 20.

A similar problem is given at brainly.com/question/23950969

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3 years ago

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SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

1. 12+6 = 18 so that's the diameter of the big circle

2. next we take the square of 18 and multiply it by pi (324x3.14)

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Max is 26 now because 24 + 2 = 26 so 26 / 2 = 13

Liam is 13.

I hope this helps :)

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