Answer:
D. The function indicates that the group began with 40 members and is increasing in size.
Step-by-step explanation:
The graph shows that on the y-axis, which starts with 40, the values of the members are increasing in size. The line is going up and not down so it's increasing.
Answer:
(x, y) → (1.5x, 1.5y)
Step-by-step explanation:
Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.
Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...
(x, y) → 1.5(x, y)
Answer:
0.45
Step-by-step explanation:
The correlation coefficient is used to measure the relationship between how two variables change. In this question, the two variables are cars speed and gas mileage. Since the speedometers were wrong as they were 5 mph too high in a constant manner, then the correlation between how changes in speed affect gas mileage will not be changed.
For example, if we are measuring how an increase of 15 mph decreased gas mileage, we are looking at the change in speed and it is the same if we start with 75 mph and then increase speed to 90 mph, or if we start with 45 mph and then increase to 60 mph. The change in speed for both cases will remain unchanged at 10 mph.
Now, since we have seen that the change in speed remains unchanged and since correlation coefficient is a measure of the relationship between how two variables change, then the new value of the correlation coefficient will remain the same as 0.45.
Answer:
The time interval when
is at 
The distance is 106.109 m
Step-by-step explanation:
The velocity of the second particle Q moving along the x-axis is :

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.
We are also to that :
between 
The schematic free body graphical representation of the above illustration was attached in the file below and the point when
is at 4 is obtained in the parabolic curve.
So,
is at 
Taking the integral of the time interval in order to determine the distance; we have:
distance = 
= 
= By using the Scientific calculator notation;
distance = 106.109 m
Correct answer: the first choice !