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3 years ago

This shows an equation 2p + 3 = 5 - 6p

Mathematics

1 answer:

S_A_V [24]3 years ago

4 0

Answer:

p=1/4 or 0.25

Step-by-step explanation:

2p+3=5-6p Subtract 2p from both sides.

3=5-8p Subtract 5 on both sides.

-2=-8p Divide by -8 on both sides.

1/4=p or (as a decimal) 0.25=p

Hope this helps you out!! Have a great day c:

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Solve y' + 2xy = 2x^3, y(0) = 1.

dalvyx [7]

This is an ODE of the form y' + P(x)y = Q(x)
IF = $e^{ \int\limits {P(x)} \, dx }=e^{ \int\limits {2x} \, dx }=e^{x^2}$
Multiply through by IF
$e^{x^2}y'+2xe^{x^2}y=2x^3e^{x^2} \\ (e^{x^2}y)'=2x^3e^{x^2} \\ \int {(e^{x^2}y)'} \, dx = \int {2x^3e^{x^2}} \, dx \\ e^{x^2}y=x^2e^{x^2}-e^{x^2} + c \\ y=c_1e^{-x^2}+x^2-1$
But y(0) = 1
$1=c_1e^{-(0)^2}+(0)^2-1 = c_1-1 \\ c_1=1+1=2$
Therefore, solution is
$y=2e^{-x^2}+x^2-1$

3 0

3 years ago

What is 617 rounded to the nearest ten?

Ne4ueva [31]

Answer:

620

Step-by-step explanation:

7 is near 10 so you round to the next number on the 10 table

7 0

3 years ago

Read 2 more answers

The population of grizzly bears at Yellowstone National Park has been threatened with local extinction since 1975. Through many

____ [38]

The complete statement is: In the year 2010, there will be approximately 600 grizzly bears at Yellowstone National Park.

<h3>Find the approximate value from the graph.</h3>

The complete question is added as an attachment

From the attached graph, we have the following highlights

x represents the number of years since 2009
y represents the number of grizzly bears

So, the value of A(1) means that we find the number of grizzly bears in the year 2010

According to the graph, the value of the function where x = 1 is 600

So, we have:

A(1) = 600

<h3>Based on your answer for part A. Complete this sentence.</h3>

The incomplete sentence is given as:

In the year there will be approximately grizzly bears at Yellowstone National Park.

A(1) = 600 represents the number of grizzly bears in the year 2010

So, the complete statement is:

In the year 2010, there will be approximately 600 grizzly bears at Yellowstone National Park.

Read more about functions at:

brainly.com/question/15602982

#SPJ1

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2 years ago

in a class of 14 boys and 12 girls one of the student is picked in a random what is the probability that the student is a girl

poizon [28]

Step-by-step explanation:

Total number of students =14+12

=26

Probability that a student is a girl

$= \frac{number \: of \:girls}{total \: number \: of \: students} \\ = \frac{12}{26} \\ = \frac{6}{13} \\ therefore \: the \: probability \: that \: \\ a \: student \: is \: a \: girl \: \\ = \frac{6}{13}$

7 0

3 years ago

Please please help solve both :)))))

Slav-nsk [51]

They are both true.
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3 years ago