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3 years ago

A rectangular prism has a volume of 36 cubic units. Which set of dimensions could make this prism?

Mathematics

2 answers:

xenn [34]3 years ago

6 0

9 units, 2 units, 2 units

Kaylis [27]3 years ago

3 0

2 units, 3 units, 6 units

36 units, 1 unit, 1 unit

9 units, 2 units, 2 units

12 units, 3 units, 1 unit

All options stated above would result in a volume of 36 cubic units.

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3xy'+y=12x find general solution

Eduardwww [97]

The equation is linear, as you can write

$3xy'+y=12x\implies y'+\dfrac1{3x}y=4$

An integrating factor would be

$\mu(x)=\exp\left(\displaystyle\int\frac{\mathrm dx}{3x}\right)=x^{1/3}$

Multiplying both sides of the ODE by this yields

$x^{1/3}y'+\dfrac1{3x^{2/3}}y=4x^{1/3}$

where the LHS is a derivative:

$\dfrac{\mathrm d}{\mathrm dx}\left[x^{1/3}y\right]=4x^{1/3}$

Integrating both sides, we get

$x^{1/3}y=4\displaystyle\int x^{1/3}\,\mathrm dx$
$x^{1/3}y=3x^{4/3}+C$
$y=3x^{3/3}+Cx^{-1/3}=3x+\dfrac C{x^{1/3}}$

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3 years ago

A student takes English and American History this semester. The probability that a student passes English is 0.5. The probabilit

mash [69]

Answer:

50% chance of passing english

40% chance of passing American History

30% chance of passing both classes

Step-by-step explanation:

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3 years ago

Help me!! <ABC = ____?

Free_Kalibri [48]

<ABC= <MNP
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3 years ago

Find the answer given below

Anastasy [175]

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by $\sqrt{2}$

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1 :2 $\sqrt{2}$

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If <u>each sides</u> of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled <u>by doubling the height and without changing the length and width</u>" But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.

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3 years ago

Nicholas has 8 pieces of rope that are 4 yards each. He uses 4 pieces that are each 4 feet long.

Komok [63]

What's the question nbnnbbb

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4 years ago