A) Linear velocity, v = ωr ω = Angular velocity, r = radius.
ω = 40 revolutions per minute. 1 minute = (1/60) hour.
= 40*2π radians / (1/60) hour = 4800π radians per hour π = 3.14
= 4800*3.14 = 15072 radians / hour
but radius, r = 30 inches, 63360 inches = 1 mile, 30 inches = (30/63360) mile
Linear velocity, v = ωr
v = 15072 radians / hour * (30/63360) mile
v ≈ 7.136 miles / hour
b) Linear velocity, v = ωr
v = 8.9 radians/second * 20 cm
v = 178 cm/s
Answer:
c(m)<=45+0.4m
Step-by-step explanation:
A linear inequality involves a linear function. It contains one of the symbols of inequality. It exactly looks like a linear equation,with the inequality sign replacing the equality sign.
According to the statement Nancy has negotiated a special rate and the maximum charge is $45.00 per day with the addition of $ 0.40 per mile.
So,
a linear inequality that models the total cost of the daily rental as a function of the total miles driven,m is:
c(m)<=45+0.4m
The answer is 3 remember PEMDAS
Answer:
-7 3/8
Step-by-step explanation:
The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

So our solution is -7 3/8
Answer:

The equation corresponds to a quadratic function.
Step-by-step explanation:
Given

where

the function that describes the height of Joan’s basketball is

The equation corresponds to a quadratic function.