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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 Earth has a diameter
mrs_skeptik [129]

Answer:

<em>L = 24,873.6 miles</em>

Step-by-step explanation:

<u>Length of the Circumference</u>

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

L =2\pi\cdot r

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

L =2\pi\cdot 3,958.75\ miles

L = 24,873.6 miles

4 0
3 years ago
A convenience store sells a coffee mug that comes
madreJ [45]

Answer:

The cost of the mug is of $6.50.

Step-by-step explanation:

The cost of the mug and r refills is given by the following equation:

C(r) = 2.3r + 6.5

Cost of the mug:

The cost of the mug is found when no refills are bought, that is, C when r = 0, which is C(0)

C(0) = 2.3*0 + 6.5 = 6.5

The cost of the mug is of $6.50.

7 0
3 years ago
1/2x - 7 = 1/3(x-12) what is x?
sashaice [31]

Answer:

x = 18

Step-by-step explanation:

took test!!

7 0
3 years ago
Read 2 more answers
Two parallel lines are crossed by a transversal.What is the value of m?
AlladinOne [14]

Same side interior angles are supplementary, which means together they add up to 180 degrees.

In order to find the value of angle m, subtract 180 from the supplement.

180 - 78 = 102

The value of m is 102 degrees

4 0
3 years ago
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Which correctly describes how to determine the measure of angle 1?
liraira [26]

The first one is correct.

The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

Let's go through the rest of them.

The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

2 isn't an interior angle.

The 81° angle and angle 2 are corresponding angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

Corresponding angles are congruent, with the same measure.

The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

81 and angle 2 aren't alternate interior and if they were they'd be congruent.

5 0
3 years ago
Read 2 more answers
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