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photoshop1234 [79]
3 years ago
5

What is 70 in standard form?​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

Answer:

7 \times  {10}^{2}

<h2><u>HOPE</u><u> IT</u><u> HELPS</u><u> YOU</u><u> </u>✌️</h2>
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On Friday,
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The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which state
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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}

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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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I don't know how to work this out
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