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Mademuasel [1]
2 years ago
11

What is the solution to the equation? 1/2n + 3 = 6​

Mathematics
1 answer:
yawa3891 [41]2 years ago
4 0

Answer:

n = 6

Step-by-step explanation:

1/2n + 3 = 6

1/2n = 3

n = 6

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Express the fraction 11/30 in decmail form
ella [17]

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Step-by-step explanation:

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7m+3

Step-by-step explanation:

distribute the - to 7m+1

14m+4-7m-1

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What value for C will make the expression a perfect square trinomial x2-7x+c
Tom [10]

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The value of c is 12.25

Step-by-step explanation:

we know that

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(x-a)^{2}=x^{2}-2ax+a^{2}

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x^{2}-7x+c

so

equate the equations

x^{2}-7x+c=x^{2}-2ax+a^{2}

we have

the following equations

-7x=-2ax -----> equation A

and

c=a^{2} -----> equation B

<u>Solve the equation A</u>

-7x=-2ax

7=2a

a=3.5

<u>Solve the equation B</u>

c=a^{2}

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therefore

(x-3.5)^{2}=x^{2}-7x+12.25

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7 0
3 years ago
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Why is the answer to this integral's denominator have 1+pi^2
ss7ja [257]

It comes from integrating by parts twice. Let

I = \displaystyle \int e^n \sin(\pi n) \, dn

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\displaystyle \int u \, dv = uv - \int v \, du

Let

u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn

dv = e^n \, dn \implies v = e^n

Then

\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn

Apply IBP once more, with

u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn

dv = e^n \, dn \implies v = e^n

Notice that the ∫ v du term contains the original integral, so that

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6 0
2 years ago
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