If I make $2000 a month, how much will I make per week?
2 answers:
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Answer:
The approximate difference in the half-lives of the isotopes is 66 days.
Step-by-step explanation:
The decay of an isotope is represented by the following differential equation:
Where:
- Current mass of the isotope, measured in kilograms.
- Time, measured in days.
- Time constant, measured in days.
The solution of the differential equation is:
Where is the initial mass of the isotope, measure in kilograms.
Now, the time constant is cleared:
The half-life of a isotope () as a function of time constant is:
The half-life difference between isotope B and isotope A is:
If ,
and
, the difference in the half-lives of the isotopes is:
The approximate difference in the half-lives of the isotopes is 66 days.
Answer:
a)
And replacing we got:
And simplifying we got:
b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.
c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.
Step-by-step explanation:
We know a rectangle has sides measuring (4x + 5) units and (3x + 10) units
Part a
For this case we can find the area like this:
And replacing we got:
And simplifying we got:
Part b
For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.
Part c
We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.