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ivanzaharov [21]
2 years ago
10

'Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear

Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

  • <u>59.0891 g (rounded to 4 decimal places)</u>

Explanation:

<em>Half-life time</em> of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

  • A=A_0\cdot (1/2)^n

Where:

  • A is the amount that remains of the substance after n half-lives have elapses, and
  • A₀ is the starting amount of the substance.

In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

  • 330 days / 138 days = 2.3913

Therefore, the amount of polonium-210 that will be left in 330 days is:

  • A=310{g}\cdot (1/2)^{2.3913}=59.0891g
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Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

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Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

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Simplify:

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2 years ago
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Answer:

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2 years ago
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What is the experamental probability that the coin lands on heads?
sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

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A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

∴ n ( S ) =  2

Let A be the event of getting a Head on tossing a coin i.e  { Head }

∴ n( A ) = 1

Now,

\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}

Substituting the values we get

P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%

The experamental probability that the coin lands on head is 50 %

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3 years ago
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