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Zolol [24]
3 years ago
7

Arrange the steps in correct order to show that the sum, over the set of people at a party, of the number of people a person has

shaken hands with, is even. Assume that no one shakes his or her own hand.
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

86

Step-by-step explanation:

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Put the puzzle together by solving Last week, Alina walked 1.7 miles on Saturday and 2.56 miles on Sunday. How many miles did sh
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She walked 4.26 miles

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I just added both the miles given to get total miles walked on the weekend

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What is a dependent clause???
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3 years ago
A line has a rise of 3 and a run of 12. find the slope of the line. type a numerical answer in the space provided. if necessary,
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7 0
3 years ago
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If
attashe74 [19]

Answer:

t=7.85 years

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

\frac{dP}{dt}=aP

Where a is proportional constant, P the population variable, and t the time.

\frac{dP}{P}=adt

Integrating each side of the equation.

\int \frac{dP}{P}=\int adt

ln(P)=at+c

P=e^{at+c}

P=e^{c}e^{at}=Ce^{at}

To find C we need to use the initial condiction, it means evaluae P at t=0.

P_{0}=Ce^{0}=C

P=P_{0}e^{at}

Now, we use the sentence  the population has doubled in 5 years.

2P_{0}=P_{0}e^{a5}

We can find "a" in this condition.

2=e^{a5}

ln(2)=a5

a=\frac{ln(2)}{5}

a=0.14

Finally, let's find how long will it take to triple.

3P_{0}=P_{0}e^{0.14t}

3=e^{0.14t}

t=\frac{ln(3)}{0.14}

t=7.85 years

I hope it helps you!

4 0
2 years ago
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