Using exponential function concepts, it is found that it represents a decay of 0.9%.
<h3>What is an exponential function?</h3>
A decaying exponential function is <em>modeled </em>by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the function is:
Hence:
Thus, it represents a decay of 0.9%.
You can learn more about exponential function concepts at brainly.com/question/25537936
Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
The area of a circle with radius of 13 millimeters is A≈530.93A=πr2=π·132≈530.92916
