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faltersainse [42]
2 years ago
5

A fair cube has 2 blue sides, 2 red sides, and 2 green sides.

Mathematics
1 answer:
natulia [17]2 years ago
3 0
4/6 or 2/3. All you need to do is add the amount of blue and red sides from the cube and divide it by the total number of sides on a cube.

You can also say 66%

Hope this helps!! :)
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Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =
Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0
3 years ago
When Lara was born,her mass was 3 kilograms.by the time she started third grade, she had gained 24 kilograms.what was Lara’s mas
krok68 [10]

Answer:

27 kilograms

Step-by-step explanation:

When she was born, she weighed 3 kilograms. If she gained 24 kilograms, then that is the initial value (3) plus the added value (24) and you get her weight, which is 27.

3 0
3 years ago
Solve for x. 0=65892.56*x^(-1.67)
scoundrel [369]
0=65892.56\cdot x^{-1.67}

It would seem the only solution is 0, but x^{-1.67}=\frac{1}{x^{1.67}} and the denominator of the fraction can't be equal zero, therefore there's no solution.
3 0
3 years ago
Item to ship 76<br> Item per case 14
Igoryamba

Answer:

6 cases

Step-by-step explanation:

76÷14= 5.4

round up so every item can be put in a case.

4 0
2 years ago
What is the smallest multiple of 6 and 10
Slav-nsk [51]
30 is the smallest for both
3 0
3 years ago
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