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Stels [109]
3 years ago
12

A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is the initial mass and k is a n

egative constant. The mean life M of an atom in the substance is
[infinity]
M = âk â« te^kt dt.
0

For the radioactive carbon isotope, 14C, used in radiocarbon dating, the value of k is -0.000121. Find the mean life of a 14C atom.
Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

mean life = 8264.5 s

Step-by-step explanation:

k = - 0.000121

The relation is given by

m = mo e^{kt}

Now, the mean life is the life time for which the sample retains.

The mean life is the reciprocal of the decay constant.  

The relation between the mean life and the decay constant is

\tau =\frac{1}{k}\\\\\tau = \frac{1}{0.000121} = 8264.5 seconds

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Graph the line with the equation y=1/3x+1
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Step-by-step explanation:

\frac{1}{3} = \frac{rise}{run}

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Convert the equation you found, T = A3/2, into a form without any rational exponents.
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This visual representation shows the sets of real numbers. Classify the number −85. Select all terms that are correct. Venn diag
Olenka [21]

♡ The Question/Task ♡          

Classify the number -85.

Rational, Whole, Natural, Integer, Irrational.  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*              

♡ The Answer ♡          

-85 is an integer, and a rational number!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*              

♡ The Explanation/Step-By-Step ♡          

Natural numbers are <u>positive integers</u> from 1 till infinity, though, nautral numbers don't include zero. Since -85 is a negative number, this wouldn't be a natural number.

A whole number is a set of numbers including <u>all positive integers and 0.</u> Since -85 isn't a positive number, this wouldn't be a whole number.

An irrational number is where any real number that cannot be expressed as the quotient of two integers. Irrational numbers are commonly square roots, too. Although, -85 isn't a square root.

A rational number is where any number that can be written as a ratio, or a fraction, of two integers can be classified as a rational number. Rational numbers are commonly fractions, decimals, negative decimals, etc!

An integer is a whole number that can be positive, negative, or zero. 85 is a whole number, and can be negative, which in this case, is -85. The number we're using. Therefore, -85 is an integer.  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*              

♡ Tips ♡          

-No Tips Provided!

7 0
3 years ago
If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?
MariettaO [177]

Answer:

48 square unit

Step-by-step explanation:

For a rectangle, area is given by

A=bh

Where b is base and h is height as shown in the attached diagram

For a triangle, area is given by

A∆=½bh

Given that ½bh=48

Then bh=2*48=96 square units

The overall area is 96 square units.

The area for 1&2 combined will be given by deducting the area of triangle from the overall area

Area is 96-48=48 square units

6 0
3 years ago
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