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nataly862011 [7]
3 years ago
5

Which ratio correctly compares 60 mm to 45 cm?

Mathematics
1 answer:
docker41 [41]3 years ago
6 0
First we need to convert cm to mm
45 cm = 450 mm

Now our ratio looks like this
60/450
We can divide both by 30 and once we do that our ratio will look like this:
2/15

That means the answer is B
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Step-by-step explanation:

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The indicated function y1(x) is a solution of the given differential equation. use reduction of order or formula (5) in section
Ber [7]
Given that y_1=e^{2x/3}, we can use reduction of order to find a solution y_2=v(x)y_1=ve^{2x/3}.

\implies {y_2}'=\dfrac23ve^{2x/3}+v'e^{2x/3}=\left(\dfrac23v+v'\right)e^{2x/3}
\implies{y_2}''=\dfrac23\left(\dfrac23v+v'\right)e^{2x/3}+v''e^{2x/3}=\left(\dfrac49v+v'+v''\right)e^{2x/3}

\implies9y''-12y'+4y=0
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Let u=v', so that

9u'-3u=0\implies 3u'-u=0\implies u'-\dfrac13u=0
e^{-x/3}u'-\dfrac13e^{-x/3}u=0
\left(e^{-x/3}u\right)'=0
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\implies v'=C_1e^{x/3}
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\implies y_2=\left(3C_1e^{x/3}+C_2\right)e^{2x/3}
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Since y_1 already accounts for the e^{2x/3} term, we end up with

y_2=e^x

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Answer:

the answer is (3,4)

Step-by-step explanation:

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6 0
2 years ago
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