<h2>
Answer with explanation:</h2>
Given : Shelly and Kristen share a birthday, but Shelly is 5 years older.
i.e. Age of Shelly = Age of Kristen +5
a. Table show their ages every year, beginning when Kristen was born. :
Kristen Shelly
0 5
1 6
2 7
3 8
4 9
b. If Kristen is 16 years old, then the age of Shelly = 16+5=21
c. If Kristen is K years old, then the age of Shelly = K+5
d. Also, age of Kristen = Age of Shelly - 5
If Shelly is S years old, then the age of Kristen = S-5
Answer:
0.75
Step-by-step explanation:
The answer is y=-2/3+2 because the line crosses at 2, which is the y-intercept. It goes down two times and runs three times making the slope -2/3.
Using an infinite geometric sequence, it is found that the total distance that the ball travels is of 180 feet.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
![a_n = a_1q^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1q%5E%7Bn-1%7D)
In which
is the first term.
Considering q < 1, the sum of an infinite sequence is given by:
![S = \frac{a_1}{1 - q}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Ba_1%7D%7B1%20-%20q%7D)
In this problem, the first term and the common ratio are given by:
![a_1 = 60, q = \frac{2}{3}](https://tex.z-dn.net/?f=a_1%20%3D%2060%2C%20q%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
Hence the total distance traveled in feet is given by:
![S = \frac{a_1}{1 - q} = \frac{60}{1 - \frac{2}{3}} = \frac{60}{\frac{1}{3}} = 180](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Ba_1%7D%7B1%20-%20q%7D%20%3D%20%5Cfrac%7B60%7D%7B1%20-%20%5Cfrac%7B2%7D%7B3%7D%7D%20%3D%20%5Cfrac%7B60%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20180)
More can be learned about geometric sequences at brainly.com/question/11847927
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