2 years ago

Help it’s due today

Mathematics

2 answers:

nikdorinn [45]2 years ago

5 0

What question you need and what the explanation says ?

photoshop1234 [79]2 years ago

3 0

Which one you need help on?

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Can someone please help me on this

ohaa [14]

Answer:

the 1 one

Step-by-step explanation:

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3 years ago

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Confused and need help

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First, reflect the triangle across x

Then translate the triangle 1 unit to the right and 9 units down

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2 years ago

Kid got 50 things of ravioli. He puts 30 rats in his ravioli. What is the percentage of ravioli that doesn't have rats in it com

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Step-by-step explanation:

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A rectangular swimming pool is 50 feet long and 25 feet wide.

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Step-by-step explanation:

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2 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

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:

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

b) The general solution is found after separating variables and integrating each sides:

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

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

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

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

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3 years ago

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