Strange question, as normally we would not calculate the "area of the tire." A tire has a cross-sectional area, true, but we don't know the outside radius of the tire when it's mounted on the wheel.
We could certainly calculate the area of a circle with radius 8 inches; it's
A = πr^2, or (here) A = π (8 in)^2 = 64π in^2.
The circumference of the wheel (of radius 8 in) is C = 2π*r, or 16π in.
The numerical difference between 64π and 16π is 48π; this makes no sense because we cannot compare area (in^2) to length (in).
If possible, discuss this situatio with your teacher.
Answer:
lol
Step-by-step explanation:
Answer:
C. f(x) = 2x² - 1.
Step-by-step explanation:
Using any of the given pair, slot in the values of the pair into each function given to find out if it would satisfy the equation.
Let's use (1, 1).
Option A: f(x) = 2x - 1:
Substitute x = 1 and f(x) = 1 into the function
1 = 2(1) - 1
1 = 2 - 1
1 = 1 (this is true).
However, let's try this using another given pair, (2, 7) to confirm if the function matches the table.
Substitute x = 2 and f(x) = 7 into f(x) = 2x - 1
7 = 2(2) - 1
7 = 4 - 1
7 = 3 (this is not true). Therefore the function doesn't match.
✔️Let's check option C: f(x) = 2x² - 1.
Substitute x = 1, and f(x) = 1 into the function
1 = 2(1)² - 1
1 = 2 - 1
1 = 1 (true)
Try another pair, say (2, 7):
Substitute x = 2 and f(x) = 7 into f(x) = 2x² - 1
7 = 2(2)² - 1
7 = 2*4 - 1
7 = 8 - 1
7 = 7 (true).
Therefore, C. is the correct answer.
Answer:
f(x) = 1500(0.97)ˣ
Step-by-step explanation:
Given that:
f(x) = abˣ
a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.
Since the bone has a current density of 1,500 kg/m³, hence a = 1500.
The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.
Therefore substituting the values of a and b into the function gives:
f(x) = 1500(0.97)ˣ
Answer: 7776p^2q
Step-by-step explanation: