This can be expressed as exponential growth of the form:
f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time
In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...
6500=5000r^2 divide both sides by 5000
1.3=r^2 take the square root of both sides and note that we know r>0
r=1.3^(1/2) so our equation becomes:
f=5000(1.3)^(1/2)^t and knowing that (a^b)^c=a^(b*c) we can say:
f=5000(1.3)^(t/2) so for t=18
f=5000(1.3)^9
f≈53022 (to nearest whole bacteria)
Answer:
no
Step-by-step explanation:
The absolute value is EXACTLY 29, so.
Answer:
Option D is the correct answer.
Step-by-step explanation:
Room Occupancy Percentage:
- It is defined as the ratio of total number of rooms occupied to the total number of rooms available.
- Formula:
Thus, the correct answer is:
Option D)
Total rooms occupied divided by total available rooms
The value of f(2) is -2 ⇒ 1st answer
Step-by-step explanation:
The form of the quadratic function is;
f(x) = ax² + bx + c, where
- a is the coefficient of x²
- b is the coefficient of x
- c is the numerical term
- x is the domain of the function and f(x) is the range of the function
∵ f(x) = -5x² - x + 20
- f(2) means value f(x) at x = 2
∵ x = 2
- Substitute x in the function by 2 to find f(2)
∵ f(2) = -5(2)² - (2) + 20
∴ f(2) = -5(4) - 2 + 20
∴ f(2) = -20 - 2 + 20
∴ f(2) = -2
The value of f(2) is -2
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Tags: <em>logarithm value compute power property natural log ln</em>