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 times at which the ball is on the ground
Answer:
Cost for 1 burger = 5 $
Amount spent by Janet = 25$
Amount spent by John = 25$
Explanation:
Let the cost for burger be p.
Janet got three burgers and left a $10 tip
Amount spent by Janet = 3 p + 10
John bought 4 burgers, but only left a $5 tip
Amount spent by John = 4 p + 5
Both paid the same amount.
So, we have 3 p + 10 = 4 p + 5
=> p = 5 $
So, cost for 1 burger = 5 $
Amount spent by Janet = 3 x 5 + 10 = 25$
Amount spent by John = 4 x 5 + 5 = 25$
Answer:
4 units
Step-by-step explanation:
Distance like magnitude is simply a positive value
----------------------------
Since the y coordinate is the same
the distance is just the difference in the x coordinates
from -5 to -1 is a distance of 4
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