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Drupady [299]
2 years ago
6

What is the volume of the prism

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
4 0

Answer:

Area of the base = 24 cm²

Height of the prism = 5 cm

Volume of the prism = 120 cm³

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<span>associative property of addition and answer is 
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3 years ago
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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
Aneli [31]
\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}
5 0
3 years ago
Leo needs 1010 red roses and 1515 pink daisies for every 55 bouquets he makes for a flower shop. Drag red roses and pink daisies
user100 [1]
[(1515+1010) / 55] x 33 = 1515

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stepan [7]
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8 0
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kogti [31]

Answer:

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Step-by-step explanation:

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= 9x \times ( - 3 {x}^{2} y)  + 9x \times ( - 7xz)

=  - 27 {x}^{3} y - 63 {x}^{2} z

4 0
3 years ago
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