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3 years ago

8

What is the slope of the line shown below? (8,8) (5,5)

2 answers:

balu736 [363]3 years ago

3 0

Hello!

To find the slope of a line, you divide the differences in the y-values by the differences in the x-values as shown below.

$\frac{5-8}{5-8} =\frac{3}{3} = 1$

Our slope is 1.

I hope this helps!

IceJOKER [234]3 years ago

3 0

The slope simplifies to 1:

Using the slope equation, which is y2 - y1/x2 - x1, we can find the answer

5 - 8 / 5 - 8 = -3 / -3

Of course, -3 divided by -3 is 1 when simplified.

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The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

$=10,000[e^{0.4}-1]$

$=10,000[0.49]$

=4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

$=10,000e^{0.02(5)}$

$=11051$

In 2000,

$P=10,000e^{0.02(10)}$

$=12,214$

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0

3 years ago

ivan plans to recognize the music on his Mp3 player . After the changes he is planning he will have 2 4/5 times as many hours of

hammer [34]

So what do you want to know about it? We need more info on this.

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3 years ago

Solve the equation. Then check your solution

kondaur [170]

Answer:

Option <u>B </u>is correct i.e. <u>2</u><u>1</u>

Step-by-step explanation:

In the question we're provided with an equation that is :

v/7 = 3

And we are asked to find the solution for the equation .

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u> $\longrightarrow \: \frac{v}{7} = 3$ </u>

Multiplying by 7 on both sides :

$\longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7$

On further calculations , we get :

$\longrightarrow \: \blue{\boxed{v = 21}}$

<u>Therefore</u><u> </u><u>,</u><u> </u><u>solution</u><u> </u><u>for</u><u> equation</u><u> </u><u>is </u><u>2</u><u>1</u><u> </u><u>.</u><u>That </u><u>means</u><u> </u><u>option </u><u>B </u><u>is </u><u>the </u><u>correct</u><u> answer</u><u>.</u>

<u>Verifying</u><u> </u><u>:</u>

We are verifying our answer by substituting value of v in the equation given in question :

$\longrightarrow \: \frac{v}{7} = 3$

Putting value of v :

$\longrightarrow \: \cancel{\frac{21}{7}} = 3$

By dividing 21 with 7 , we get :

$\longrightarrow \:3 = 3$

$\longrightarrow \: L.H.S=R.H.S$

$\longrightarrow \: Hence , \: Verified.$

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our </u><u>answer</u><u> is</u><u> valid</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

3 0

2 years ago

Read 2 more answers

Enter the value of x 1.5 2.5 of a right triangle

vekshin1

If 1.5 and 2.5 are the height and base, then just use Pythagorean theorem,

7 0

3 years ago

I will mark brainliest

Brilliant_brown [7]

Answer:

the first answer is correct answer

8 0

2 years ago