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pashok25 [27]
2 years ago
10

HELP PLEASE ASAP!!!!

Mathematics
1 answer:
Akimi4 [234]2 years ago
4 0

Answer:

85°

Step-by-step explanation:

add 125+150=275

a circle is 360

so 275+85=360

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Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19
Katen [24]

x''+4x'+53x=15

has characteristic equation

r^2+4r+53=0

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x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)

For the particular solution, consider the ansatz x_p=a_0, whose first and second derivatives vanish. Substitute x_p and its derivatives into the equation:

53a_0=15\implies a_0=\dfrac{15}{53}

Then the general solution to the equation is

x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}

With x(0)=8, we have

8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}

and with x'(0)=-19,

-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}

Then the particular solution to the equation is

\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}

8 0
3 years ago
Simplify 38 over 49 what’s the anwswer
Katyanochek1 [597]

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If you are reducing it as a fraction, it is not possible because there is no other number to reduce it, so it will be in it's simplest form already.

8 0
3 years ago
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Answer please!! Thanks!
sergij07 [2.7K]

Answer: 9.6 units

<u>Step-by-step explanation:</u>

The formula for the length of a diagonal (d) for a rectangular prism given length (L), width (w), and height (h) is: d² = L² + w² +  h²

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Write the reciprocal of<br> 13
Masteriza [31]

Answer:

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Step-by-step explanation:

To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted). For instance, the reciprocal of 3/4 is 4/3. Any number times its reciprocal will give you 1.

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If it rains 6 inches in three weeks how many inches did it rain per week?
ipn [44]

Answer:

2

Step-by-step explanation:

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