The mass of radioactive material remaining after 50 years would be 48.79 kilograms
<h3>How to determine the amount</h3>
It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.
Given the radioactive decay formula as
m(t)=120e−0.018t
Where
t= 50 years
m(t) is the remaining amount
Substitute the value of t
Find the exponential value
m(t) = 48.788399
m(t) = 48.79 kilograms to 2 decimal places
Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms
Learn more about half-life here:
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Answer:
Step-by-step explanation:
We were given that; the formula for the surface area, A, of a prism is given by
where is the length of the prism, w is the width, and h is the height.
We want to solve this formula for l,
Group the l terms;
Factor l on the right;
Divide both sides by 2w +2h
Therefore:
X= -8 that uis your answer for that question :)
Answer:
The answer to your question is below
Step-by-step explanation:
1.- y = 2x - 64
x - 2y = 14
Substitution
x - 2(2x - 64) = 14
Simplification
x - 4x + 128 = 14
x - 4x = 14 - 128
-3x = - 114
x = 114/3
x = 38
y = 2(38) - 64
y = 76 - 64
y = 12
Solution (38, 12)
2.- y = x - 6
3x + 2y = 8
Substitution
3x + 2(x - 6) = 8
Simplification
3x + 2x - 12 = 8
5x = 8 + 12
5x = 20
x = 20 / 5
x = 4
y = 4 - 6
y = -2
Solution (4 , -2)
3.- x - y = 12
27 + 3y = 2x
x = 12 + y
27 + 3y = 2(12 + y)
27 + 3y = 24 + 2y
3y - 2y = 24 - 27
y = -3
x = 12 - 3
x = 9
Solution y = -3
4.- y = 2x + 14
-4x - y = 4
-4x - (2x + 14) = 4
-4x - 2x - 14 = 4
-6x = 4 + 14
-6x = 18
x = 18/-6
x = -3
y = 2(-3) + 14
y = -6 + 14
y = 8
Solution y = 8
