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3 years ago

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A right rectangular prism is packed with cubes of side length Fraction 1 over 2 inch. If the prism is packed with 5 cubes along

the length, 3 cubes along the width, and 6 cubes along the height, what is the volume of the prism?

1 answer:

Vinil7 [7]3 years ago

4 0

The volume of the rectangular based prism is 11.25 inches cubed.

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Please help me with this Algebra I question.

horrorfan [7]

Answer:

$-\dfrac{b^2}{16a^4}$

Step-by-step explanation:

Given expression:

$\dfrac{(2a)^{-2}b^5}{-4a^2b^3}$

$\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:$

$\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}$

Separate the variables:

$\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}$

$\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}$

$\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}$

$\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:$

$\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}$

$\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}$

Simplify:

$\implies -\dfrac{b^2}{16a^4}$

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2 years ago

Solve the equation above

Roman55 [17]

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3 years ago

Read 2 more answers

Find the slope of the line passing through the points (7, -1) and (2, -8).

Ugo [173]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

We have to use the slope formula: m = slope

(x1, y1) = coordinates of the first point in the line

(x2, y2) = coordinates of the second point in the line

Here, we'll plug into our given points to give; $\frac{7--1}{2--8}$

Solving this, we get, $\frac{8}{10}$ , but we're not done, as this fraction can be reduced.

Diving both sides of the fraction by 2, we get our final answer of $\frac{4}{5}$ .

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lorasvet [3.4K]

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

6 / (3/400) = ?

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3 years ago