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Ludmilka [50]
3 years ago
8

What are two division expressions that have the same value as 61.12 divided by 3.2

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0

Answer:

Other division expression that have the same value as 61.12 divided by 3.2 are

122.24 divided by 6.4 AND

183.36 divided by 9.6

Step-by-step explanation:

61.12/3.2 = 19.1

Other division expression that have the same value as this:

122.24/6.4 = 19.1

183.36/9.6 = 19.1

slavikrds [6]3 years ago
4 0
122.24 divided by 6.4

And

30.56 divided by 1.6
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Please help me I’m struggling :’(
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Find y'' by implicit differentiation. 4x^3 + 5y^3 = 4
iVinArrow [24]
\bf 4x^3+5y^3=4\implies 12x^2+15y^2\cfrac{dy}{dx}=0\implies 4x^2+5y^2\cfrac{dy}{dx}=0
\\\\\\
5y^2\cfrac{dy}{dx}=-4x^2\implies \boxed{\cfrac{dy}{dx}=\cfrac{-4x^2}{5y^2}}\\\\
-------------------------------\\\\
\cfrac{d^2y}{dx^2}=\stackrel{quotient~rule}{\cfrac{-8x(5y^2)~~-~~(-4x^2)(10y)\left( \frac{dy}{dx} \right)}{(5y^2)^2}}
\\\\\\
\cfrac{d^2y}{dx^2}=\cfrac{-40xy^2+(40x^2y)\left( \frac{-4x^2}{5y^2} \right)}{25y^4}

\bf \cfrac{d^2y}{dx^2}=\cfrac{-40xy^2+(40x^2y)\left( \frac{-4x^2}{5y^2} \right)}{25y^4}
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\cfrac{d^2y}{dx^2}=\cfrac{-40xy^2-\frac{160x^4y}{5y^2}}{25y^4}\implies 
\cfrac{d^2y}{dx^2}=\cfrac{\frac{-200xy^4-160x^4y}{5y^2}}{25y^4}
\\\\\\
\cfrac{d^2y}{dx^2}=\cfrac{-200xy^4-160x^4y}{(25y^4)(5y^2)}\implies 
\cfrac{d^2y}{dx^2}=\cfrac{-200xy^4-160x^4y}{125y^6}
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\cfrac{d^2y}{dx^2}=\cfrac{-40xy^4-32x^4y}{25y^6}
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