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Vsevolod [243]
3 years ago
9

Express the repeating decimal as a fraction \large 2.11111...

Mathematics
1 answer:
deff fn [24]3 years ago
4 0

Answer:

i believe A

Step-by-step explanation:

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Let f(x) = x^2+1 and g(x)= 4x+7. Evaluate and simplify the following f(g(x))=
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See in attachment and Mark as brainleist please.

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4 years ago
What is equivalent to 9^2•9^6
IrinaK [193]

9^2 • 9^6 = 9^(2 + 6) = 9^8

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3 years ago
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Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0
marin [14]

If you do in fact mean f(1)=f(6)=0 (as opposed to one of these being the derivative of f at some point), then integrating twice gives

f''(x) = -\dfrac1{x^2}

f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1

f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2

From the initial conditions, we find

f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0

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Eliminating C_2, we get

(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))

-5C_1 = \ln(6)

C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)

Then

\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}

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2 years ago
1. Water vapor given off by water, plants, and animals is called ?
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Step-by-step explanation:

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3 years ago
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