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fgiga [73]
3 years ago
10

Dan had 15 cups Of apple juice he wanted to add 6 oz how much would he have in the end?

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0
If you want to know the total, it would be 15 cups and 6 oz. One cup is 8 oz, so 6 oz would have to stand next to 15 cups. 
If  you want to know the total amount of ounces, it would be 126 ounces. 
This information is only accurate if you are using USA  measurements. 
Hope this helps! Have a happy holiday!
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7 0
3 years ago
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Rasek [7]

With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that

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Replace x \to x^{\frac1\phi} = x^{\phi-1} :

I = \displaystyle \frac1\phi \int_0^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx

Split the integral at x = 1. For the integral over [1, ∞), substitute x \to \frac1x :

\displaystyle \int_1^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx = \int_0^1 \frac{\tan^{-1}(x^{1-\phi})}{\left(1+\frac1x\right)^2} \frac{dx}{x^2} = \int_0^1 \frac{\pi2 - \tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx

The integrals involving tan⁻¹ disappear, and we're left with

I = \displaystyle \frac\pi{2\phi} \int_0^1 \frac{dx}{(1+x)^2} = \boxed{\frac\pi{4\phi}}

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Step-by-step explanation:

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V125BC [204]

Answer:

<u>Given </u>

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A

<u>Find the inverse of f(x):</u>

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B

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4 0
2 years ago
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