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3 years ago

8

The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.

1 answer:

VladimirAG [237]3 years ago

8 0

Answer:

y=12x+3

Step-by-step explanation:

when parallel the slopes need to be the same but the y-intercept has to change

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Step-by-step explanation:

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a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

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$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

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c) The time constant is:

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$\tau = 2438.155\,yr$

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$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

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