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pogonyaev
3 years ago
6

Please answer this asap!

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0
This is an exponential equation that can be represented by the following:

f(x) = a(b)^x

In this case...

25143 = a(0.66)^3

25143 is the population after 3 hours.

3 is the amount of time in hours.

0.66 represents the percent of the population remaining after each hour (66% as there is a 34% decline each hour).

We must solve for a, which is the initial population.

First, simplify (0.66)^3 to 0.2874.

25143 = 0.2874a

Now divide both sides by 0.2874 to isolate a.

a = 87455

There were initially 87,455 people within the city. I wouldn't want to be in that place!
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The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

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a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

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