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.
Answer:
Move the variable term to the right hand side of the equation
Step-by-step explanation:
The value of the expression would be 16.25 or 16 and 1/4, because when you multiply something by 1/2, you’re basically dividing it by 2, and when you put parentheses next to a number (for example 2(4) ), it means that you’re multiplying it, and when more than one values are in the parentheses, they all get multiplied, basically distributive property.
Answer:
= r²−4r+3
Step-by-step explanation:
(r - 3) (r - 1)
(r x r) + (r x -1) + (-3 x r) + (-3 x -1)
r² + - r - 3r + 3
= r²−4r+3
Answer:
7/8 > 2/5
Step-by-step explanation:
7/8 is greater than 2/5.