Which equation models this problem?
2 answers:
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Answer:
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
The formula of the angular velocity is ω = , where v is the linear velocity and r is the radius of the circle
The unit of the angular velocity is radians per second
∵ The diameter of the tire is 25 inches
∵ The linear velocity is 15 miles per hour
- We must change the mile to inch and the hour to seconds
∵ 1 mile = 63360 inches
∵ 1 hour = 3600 second
∴ 15 miles/hour = 15 ×
∴ 15 miles/hour = 264 inches per second
Now let us find the angular velocity
∵ ω =
∵ v = 264 in./sec.
∵ d = 25 in.
- The radius is one-half the diameter
∴ r = × 25 = 12.5 in.
- Substitute the values of v and r in the formula above to find ω
∴ ω =
∴ ω = 21.12 rad./sec.
- Divide it by π to give the answer in terms of π
∴ ω = 6.72 π radians per second
The angular velocity is 6.72 π radians per second
Answer:
A) k(x)
Step-by-step explanation:
An inverse function does the opposite to the function.
For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".
An <u>inverse function</u> is a <u>reflection of the function in the line y = x</u>
Therefore (x, y) → (y, x)
(-8, 2) → (2, -8)
(-4, 3) → (3, -4)
(0, 4) → (4, 0)
(4, 5) → (5, 4)
(8, 6) → (6, 8)
Therefore, the function k(x) could be an inverse of function g(x).
