A = k/R where A = acceleration and R = radius of the turn and k is a constant to be found.
Substituting the given values:-
10 = k / 70
k = 10*70 = 700
So the equation of the motion is A = 700 / R
When the radius is 140 the acceleration is 700 / 140 = 5 ft/sec/sec ( answer)
Answer:
4/3
Step-by-step explanation:
Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is
m = rise / run = 12/9 = 4/3
It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then
m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3
Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =
When the salary is changed from $1027 to $946,
Mean=
Therefor we can see that Mean has decreased by $9.
Answer:
OPTION C
Step-by-step explanation:
We know that the toll road is 4 times faster than the side streets.
If 'x' represents the number of minutes she usually spend taking the side streets. The
represents the time she takes taking the toll road.
Also we need to create an equation to represent her total travel time, including wait time. Therefore, the equation is:

Therefore, the correct solution is the OPTION C.