If P(x) = 8x and R(x) = 9x -8, find P(x) • R(x).
1 answer:
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Answer:
The correct option is
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is or
which gives the correct option as A
Answer:
Eudora spent 0.5 hours from home to library and 1.5 hours from library to school
Step-by-step explanation:
Given
Home to Library:
-- Average Speed
Library to School
-- Average Speed
Total
Required
Determine the time taken from home to library and from library to school
Let the time spent from home to library be x. So, from library to school will be: 2 - x
So, we have:
Home to Library:
-- Average Speed
-- Time
Library to School
-- Average Speed
-- Time
Distance is calculated as:
Home to Library:
Library to School:
The total distance is 120km. So, we have:
Collect Like Terms
Solve for x
Recall that:
So, we have: