Let p(x)=90/9+50e ^ −x .
What is p(5) ?
To find p(5), we need to substitute x = 5 into the equation p(x) = 90 / (9 + 50e^(-x)).
So, let's plug in x = 5:
p(5) = 90 / (9 + 50e^(-5))
Now, we need to calculate the value of e^(-5). The value of e is a mathematical constant approximately equal to 2.71828. The exponent of -5 means we need to calculate the inverse of e, raised to the power of -5.
Calculating e^(-5):
e^(-5) ≈ 1 / e^5 ≈ 0.00674
Now, substitute this value into the equation:
p(5) = 90 / (9 + 50 * 0.00674)
Next, calculate the value inside the parentheses:
9 + 50 * 0.00674 ≈ 9.337
Now, substitute this value into the equation:
p(5) = 90 / 9.337
Finally, perform the division:
p(5) ≈ 9.64
Thus, p(5) is approximately equal to 9.64.