Convert 50 miles per hour to feet per second ( 1 mile = 5280 feet and 1 hour = 3600 seconds )
2 answers:
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Answer:
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
The function to represent the mass of the sample after t days is
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Hourly rate of change:
Decreases 26% by day. A day has 24 hours. This means that ; We use this to find r.
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
Starts out with 810 grams of Element X
This means that
Element X is a radioactive isotope such that its mass decreases by 26% every day.
This means that we use, for this equation, r = 0.26.
The equation is:
The function to represent the mass of the sample after t days is
Answer:
Step-by-step explanation:
1. Substitute into first equation and solve for "x" in order to find the x-intercept of the first line:
2. Substitute into the first equation and solve for "y" in order to find the y-intercept of the first line:
Knowing that first line passes through the points and
, you can graph it.
3. Substitute into second equation and solve for "x" in order to find the x-intercept:
4. Substitute into the second equation and solve for "y" in order to find the y-intercept of the second line:
Knowing that second line passes through the points and
, you can graph it.
The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:
