In the sequence, we are given with -2, 8, -32...This is a geometric type of sequence with a geometric ratio of 4. a1 is equal to -2 and r is equal to 4The expression is
a n = a1 * r ^ (n-1) where n is an integer ora n = a1 * (-4) ^ (n-1)we can check or verify this using the given
i love these types of problems! i'm going to use my name, cherry, if that's ok.
cherry had 10 buttons in her collection. cherry made a deal with a friend that allowed her to receive 5 new buttons per week. after a certain number of weeks, cherry had acquired a total of 50 buttons! how many weeks had cherry's friend given her buttons?
- cherry :)
It's a linear function. We need only two points to the plotting of the graph.

Given :
Diameter of pizza ,
.
To Find :
Is square box of size equal to diameter big enough to fit pizza inside it .
Solution :
Area of pizza :

Area of square with side equal to diameter :

Since , the area of square is more than area of pizza .
Therefore , pizza can easily be fitted .
Hence , this is the required solution .
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.