If the two buses are 640 miles apart after 5 hours. Then the rate of each bus will be 57 miles per hour and 71 miles per hour.
<h3>What is speed?</h3>
The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Two buses leave a station at the same time and travel in opposite directions.
One bus travels 14 miles faster than the other.
Let x be the speed of first bus. Then the speed of the second bus will be (x + 14).
If the two buses are 640 miles apart after 5 hours.
Then the rate of each bus will be
Then the relative speed of the buses will be
S = x + x + 14
S = 2x + 14
Then the value of x will be
2x + 14 = 640 / 5
2x + 14 = 128
2x = 114
x = 57 miles per hour
Then the speed of the other bus will be
⇒ 57 + 14
⇒ 71 miles per hour
More about the speed link is given below.
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Answer:
10 or 1000 in hundreds of units
Step-by-step explanation:
Given the supply curve of portable radio rentals:
and the demand curve for portable radio rentals:
we need to find the equilibrium of these two curves ( replace either's right hand side on the other's left hand side)
we have:
solving we have 
or 
in hundreds of units
Now the noise is equal to 3, therefore, we have to find the social supply curve by adding 3 to the first supply curve. following:
We find the intersection bewteen the social supply curve and the demand curve ( social equilibrium rental ):
Which gives 
or 
in hundreds of units.
Now that we integrated the noise into our considerations, the equilibrium rental exceeds the social equilibrium rental by 10 (50-40) (1000 in hundreds of units)
Cos( 6 x ) = 1/2
6 x = 60° ⇒ x 1 = 10°
6 x = 300° ⇒ x 2 = 50°
6 x = 420° ⇒ x 3 = 70°
6 x = 660° ⇒ x 4 = 110°
x 5 = 130°, x 6 = 170°, x 7 = 190° , x 8 = 230°, x 9 = 250°,
x 10 = 290°, x 11 = 310°, x 12 = 350°
Answer: there are 12 solutions on the interval ( 0 , 2π ).
I think the correct answer is J
