A used car already has 40,000 miles on its odometer. The average owner will drive 12,000 miles per year. Which function best mod
1 answer:
Answer:
y = 12,000x + 40,000
Explanation:
A linear relationship that would model the mileage of the car in this example is:
where
y is the number of miles
x is the number of years
m is the number of miles driven per year
q is the number of miles already in the car at x=0
In this problem, we have
m = 12,000 (number of miles driven per year)
q = 40,000 (number of miles already in the car at x=0)
So substituting into the equation we get
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Answer:
The spring constant = 104.82 N/m
The angular velocity of the bar when θ = 32° is 1.70 rad/s
Explanation:
From the diagram attached below; we use the conservation of energy to determine the spring constant by using to formula:
Also;
Thus;
where;
= deflection in the spring
k = spring constant
b = remaining length in the rod
m = mass of the slender bar
g = acceleration due to gravity
Thus; the spring constant = 104.82 N/m
b
The angular velocity can be calculated by also using the conservation of energy;
Thus, the angular velocity of the bar when θ = 32° is 1.70 rad/s
