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andreyandreev
4 days ago
9

luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice . she gives 5/8 cup of juice to mags . how much is left in lu

na glass
Mathematics
2 answers:
AnnZ [9.1K]4 days ago
8 0
3/4 is equal to 6/8, and 3/8 plus 6/8 is 9/8. 9/8 minus 5/8 is 4/8 or 1/2.
Inessa [9K]4 days ago
6 0
Luna blends 3/4 cup of orange juice with 3/8 cup of cranberry juice. Initially, we need to determine the total juice volume by combining the orange and cranberry juice quantities. Let's find a common denominator to facilitate the addition. Next, since Luna shares 5/8 cup with Mags, we will deduct that from the total juice volume to calculate how much remains in her glass. Consequently, the remaining juice in Luna's glass is \frac{1}{2}.
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[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

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[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

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Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

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