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Rina8888 [55]
4 years ago
7

Find three rational number between -5/6and3/8​

Mathematics
1 answer:
ratelena [41]4 years ago
3 0

Answer:

1/4, 1/6 and 1/8(random)

Step-by-step explanation:

Kidding!

Take LCM and after that take random no. between 9/24 and -20/24. I took 6/24, 4/24 and 3/24, which I simplified

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grater than -6 bars

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Amber is an American teaching English in China, and she currently has 35,000
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If something has stripes, then it is a zebra.
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Multiple 5/8 by the reciprocal of -3/8
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A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago, to th
maxonik [38]

Answer:

The artifact was made approximately 13,306 years ago

Step-by-step explanation:

The half-life of Carbon-14 = 5730 years

The formula for radioactive decay is given by the equation:

N=N_0 e^{- \lambda t}\\where:\\N = Number\ of\ particles\ at\ time\ t\\N_0= Number\ of\ particles\ at\ time\ t_0\\\lambda = decay\ constant = \frac{In}{t_{1/2}} ; t_{1/2} = half-life\\t = time\ in\ years

The amount of Carbon-14 left = 20% = 20/100 = 0.2

\therefore \frac{N}{N_0} = 20 \% = 0.2

N=N_0 e^{- \lambda t}\\\\dividing\ both\ sides\ by\ N_0\\\frac{N}{N_0} = e^{- \lambda t}\\0.2 = e^{- \lambda t}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.2 = Ine^{- \lambda t}\\In0.2 = -\lambda \times t\\but\ \lambda = \frac{In2}{t_{1/2}} \\\therefore In0.2 = -\lambda \times t\\\\= In0.2 = - \frac{In2}{t_{1/2}} \times t\\where\ t_{1/2} = 5730\ years\\-1.6094 = - \frac{0.6931}{5730} \times t\\-1.6094 = - 0.00012095 \times t\\t = \frac{-1.6094}{-0.00012095} \\t = 13,306.32

t ≈ 13,306 years

7 0
3 years ago
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