Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 4%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)
Answers
Answer:
84.96 mg
Step-by-step explanation:
No = 100 mg
t = 6 hours, N = 96% of No = 96 / 100 No
t = 24 hours, N = ?
Let after 24 hours the remaining part is N.
Use the decay law equation
N = No e^-λt
96 / 100 = e^-6λ
0.96 = e^-6λ
taking natural log on both the sides
ln 0.96 = - 6λ
λ = 6.8 x 10^-3 per hour
Now,
N = No e^-24λ
N = No x e^-(24 x 6.8 x 10^-3)
N = No (0.8496)
N = 100 x 0.8496 = 84.96 mg
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The value of y intercept in the given equation of line is -6 or (0,-6) .
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Now,
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#SPJ2
set x=0
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divide 5
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value of y intercept is -6 or (0,-6)
Answers
Answers
1) He could take the 1/2 cup twice which equals 1, and then he could measure 6 of 1/8 cups which would be 6/8 or 3/4.
2) Way number two could be if he took the 1/2 four times, which would give him 2, and then he could remove 2 1/8 cups out of the 2 which would give him 1 3/4.
13
14
9
10
5
14
5
Answers
Use PEMDAS
9x - 2 = 4(x + 3)
9x - 2 = 4x + 12
add 2 to both sides
9x = 4x + 14
subtract 4x from both sides
5x = 14
divide both sides by 5
x = 14/5
x = 2 4/5
Hope this helps!
A. 7.546
B. 7.55
C. 7
D. 7.5
Answers
7.546⇒the underlined is the hundredths place
When rounding it to nearest hundredth, you will look at the digit next to it at the right.
7.546⇒six is greater than 5 so the hundredths place would round up to the next digit which is 5.
Answer Choices:
All real numbers except 11
x > 11
All real numbers
x ≤ 11
Answers
Answer:
Option D, x ≤ 11
Step-by-step explanation:
We have to determine the domain of the function.
f(x) =
This function is defined for the positive values of ( 11 - x ) because under root of negative terms is not defined.
Therefore, domain of the given function will be ( 11 - x ) ≥ 0
x ≤ 11
Option D, x ≤ 11 is the answer.