Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
b. After 8 bounces we can apply the previous formula with n = 8 to get
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous 
increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
Mode means MOST. Which number is displayed the most?
39, 43, 43, 50, 55, 61, 75, <u>78, 78, 78</u>
Answer: 78
Note: I placed the data set into numerical order because it will help you to easily find the mode and also the median (middle number).
Well your c value is already there (6) as the standard equation for a line is
y = mx + c
To find the gradient (M) plot two points on the line.
Then label each co ordinate X1 and X2 and then Y1 and Y2
Then subtract your y1 from y2 and then x1 from x2.
For example :if your coordinates were (1,2) (3,4) you would do
4-2 and 3-1
These answers become your “changes” now do change in y / change in x
In terms of the Example you would do 2/2 which would be 1 and the M value would be 1
Hope that isn’t too confusing
Answer:
May-June
Step-by-step explanation:
Notice that:
● during April-May period the Badminton memberships rate of increase is greather then Swimming's since the graph of Badminton is showing a faster increase.
● During June-July period, both functions are decreasing so this period does not satisfy our condition.
● During May-June The Swimming memberships growed faster than Badminton's so its rate of increase is greather than Badminton's.
● during August-September period, The swimming memeberships are increasing slower than Badminton's
So the answer is May-June
