Step-by-step explanation:
The first term of the AP (a) = 3
and common difference (d) = 8-3= 5
therefore, a+(n-1)d = 78
=> 3+(n-1)5= 78
=> n-1=75/5
=> n-1 = 15
=> n= 16
16th term of the AP is 78
The vertex is (3,0).
The 3 inside the abs val bar tells you the x value of the vertex is 3. No number outside the abs value bar is a +0 which is the y value of the vertex.
Answer:
45%
Step-by-step explanation:
Answer:
29 is answer.
Step-by-step explanation:
Given that the function s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.
To find average velocity of the object over the interval of time [1,3]
We know that derivative of s is velocity and antiderivative of velocity is position vector .
Since moving along a line equation of s is
use two point formula
gives the position at time t.
Average velocity in interval (1,3)
=![\frac{1}{3-1} (s(3)-s(1))\\=\frac{1}{2} [87+58-29-58]\\=29](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3-1%7D%20%28s%283%29-s%281%29%29%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%20%5B87%2B58-29-58%5D%5C%5C%3D29)
<span>0 is a natural number, which is part of the rational numbers.</span>