Answer:
Equation of line best fits the scatter plot is y =
Step-by-step explanation:
Let the equation of line be y = mx + c
where m = slope of line and c is the intercept on y -axis
from the graph intercept on y-axis is 108
and the slope of line is given by m =
where (
) and (
) is the points on line
let, points be (4,96) and (18,36)
on calculating this m =
= ![-\frac{30}{7}](https://tex.z-dn.net/?f=-%5Cfrac%7B30%7D%7B7%7D)
Therefore equation of line best fits the scatter plot is y =
Answer:
The n th of the given sequence is ![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
Step-by-step explanation:
<u>Step 1</u> :-
Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.
given first term is 20 and difference is![d = second term- first term = 14-20=-6](https://tex.z-dn.net/?f=d%20%3D%20second%20term-%20first%20term%20%3D%2014-20%3D-6)
now the nth term of given sequence is
by using formula ![t_{n}=a+(n-1)d](https://tex.z-dn.net/?f=t_%7Bn%7D%3Da%2B%28n-1%29d)
![t_{n}= 20+(n-1)(-6)](https://tex.z-dn.net/?f=t_%7Bn%7D%3D%2020%2B%28n-1%29%28-6%29)
![t_{n}= 20-6 n+6](https://tex.z-dn.net/?f=t_%7Bn%7D%3D%2020-6%20n%2B6)
final answer:-
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
<u>verification</u>:-
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
put n=1 we get first term is 20
put n=2 we get second term is 14
put n=3 we get third term is 8
put n=4 we get fourth term is 2
so the n th term of sequence is
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
This will be an obtuse angled triangle because one angle is greater than 90 degrees.
Answer:
70 miles per hour and 96 kilometers per hour
Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.
Step-by-step explanation:
Please tell me if its wrong then ill change it ^-^ if i can find the right answer fir you!
but if it is right i hope it helps!
I believe the answer is feet