A boating company charges $10 equipment fee and $5.50 per hour to rent a canoe. Which is the correct linear equation for this si
1 answer:
Answer:
Where m is the slope and b the intercept.
Using the information given the variable cost 5.5 per hour represent the slope and the fixed cost 10 represent the value of b and then our model would be given by:
Wher y is the total cost and x the hours rented
Step-by-step explanation:
For this case we want to model the situation with a general equation given by:
Where m is the slope and b the intercept.
Using the information given the variable cost 5.5 per hour represent the slope and the fixed cost 10 represent the value of b and then our model would be given by:
Wher y is the total cost and x the hours rented
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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.