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zzz [600]
3 years ago
7

Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.

Mathematics
1 answer:
aliina [53]3 years ago
5 0

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

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So, x > 7 - 2; x >5 or

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Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.
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Answer:

Step-by-step explanation:

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Take Laplace on both sides

s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) =  \frac{10}{s+2}\\Y =  \frac{10}{(s+2)(s+4)(s+8)}

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Let this equals

\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\

Solving we get

s=-9

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s=-4: B = -5/4

Taking inverse Laplace

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