Answer:
Part a) The rule of the sequence is 
Part b) The height of the ball will be 
Step-by-step explanation:
Part a) Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
we know that
In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant called the common ratio (r)
In this problem we have a geometric sequence
Let
n-----> the number of path
a1 ----> is the initial height
r -----> the common ratio
we have


The rule for the sequence is equal to

substitute

Part b) What height will the ball be at the top of the third path?
For n=3
substitute in the equation


The equation would look like
Y=-4x+7
Y=mx+b
I believe the answer is 40
Answer:
It takes 33 hours to produce 66 cars.
Step-by-step explanation:
When dividing 220 workers buy the amount of cars produced the amount of time spent on making 66 cars is 33 hours.
Easier Explaination:
Divide the amount of workers to the cars produced to find out how many hours it takes.
For this case, the first thing we are going to do is assume that all the tests are worth the same.
Then, we define a variable:
x: score of Mona's last test
We write now the inequality that models the problem:

From here, we clear the value of x:
Answer:
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
x = 87