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3 years ago

Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters?

Mathematics

2 answers:

algol133 years ago

7 0

Answer:

m³

Step-by-step explanation:

Side of the cube is 2 meters

Volume of the cube is:

(2 m)³ = 8 m³

Unit of measure is cubic meter or m³

Ilya [14]3 years ago

3 0

Answer: 8m³

Step-by-step explanation: to workout the volume, you have to use the formula for a cube which is a³ where a is the one side. 2³ = 8.

The unit of measurement would be m³.

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Use the procedures developed to find the general solution of the differential equation. (Let x be the independent variable.)

makkiz [27]

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

$(a_0D^n + a_1D^{n-1}+a_2D^{n-2} + ....+ a_n) y) = Q(x)$ is a differential equation.

If $Q(x) \neq 0$

It is non homogeneous then,

The general solution = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution = complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

$(2D^3+15D^2+24D+11)y=0$

Auxiliary equation,

$2m^3+15m^2+24m +11 = 0$

-1 | 2 15 24 11

2 13 11 0

∴ $2m^2+13m+11=0$

The roots are

$=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$

$=\frac{-13\pm9}{4}$

$=-5.5, -1$

So, $m_1, m_2, m_3 = -1, -1, -5.5$

Then the general solution is :

$= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$

8 0

3 years ago

Order 74.585, 74.586, 74.486, and 74.587 in decreasing order.

Veseljchak [2.6K]

Answer:

74.587, 74.586, 74.585, 75.486

Step-by-step explanation:

yes

6 0

2 years ago

Read 2 more answers

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Margaret [11]

The median is 3
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5 0

3 years ago

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Tanzania [10]

Answer:

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Step-by-step explanation:

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3 years ago

If a large rectangle area is 99 yards on one side and 88 yards on the other side. How much space does it take up in square yards

aivan3 [116]

Answer:

99x88= 8712 square yards

3 0

3 years ago