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IRISSAK [1]
3 years ago
8

Write an equation that represents the line. ​

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

Step-by-step explanation:

first find your <em>y-intercepts</em> which is 7

then find your slope which is 7/5

and your equation is <em>y=mx+b </em>

<em>which mean y equals slope times x plus your y-intercept so your answer is</em>

y=7x+7/5

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
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Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
3 years ago
WILL GIVE BRAINLIEST!!!!!!!!!!! PLSSSSSSS HELP
Eddi Din [679]

Answer:

angle 1 and angle 7

Step-by-step explanation:

If two lines intersected by a transversal form supplementary same-side interior angles, then the lines are parallel.

7 0
3 years ago
An equilateral triangle measures 3½ inches on one side. What is the perimeter of the triangle?
VLD [36.1K]
Since it's an equilateral triangle, all of the angles are the same. Since its perimeter we just need to add. So 3.5+3.5+3.5= 10.5
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6 0
3 years ago
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Kori spent $46.20 on 12 gallons of gasoline. what was the price per gallon?
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Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
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Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

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3 years ago
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