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den301095 [7]
3 years ago
8

This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular

prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

Step-by-step explanation:

This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112

The volume of a rectangular prism when given edge length = (Edge length)³

Hence,

Volume = (12 inch)³

Volume = 1728 cubic inches

Therefore, from the above options given, the possible dimensions of the Rectangular prism =

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3x(-2x)8(-2)=30 what value of x makes the equation true.<br><br> A. 24<br> B.26<br> C.5<br> D.6
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Answer:

Step-by-step explanation:

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sdas [7]

Answer:

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4 0
3 years ago
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Find integra of xlnxdx
Mademuasel [1]

Answer:

\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

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If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}

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Given <u>indefinite integral</u>:

\displaystyle \int x \ln x \:\: \text{d}x

To integrate the given integral, use Integration by Parts:

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\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}

\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2

Therefore:

\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}

Learn more about integration here:

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5 0
2 years ago
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kari74 [83]
The answer is C. 16/55 because P(Q and R) = P (Q) . P (R) (for independent events Q and R) 

So, the prob. is 4/5 * 4/11 = 16/55 = D. 
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3 years ago
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