Answer: 5/12
Step-by-step explanation:
Step 1
Whenever you have something OF something, you just mulltiply.
1/3 of 5/8=
1/3x5/8
5/24
She used 5/24, and started with 5/8
5/8-5/24= 5/12 left
The total distance traveled by the robot from t=0 to t=9 is 1422 units
Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.
Given that the position s(t) at any time t is given by the function:
s(t)=9t²−90t+4
The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9
Therefore:
![Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units](https://tex.z-dn.net/?f=Total%5C%20distance%20%3D%20%5Cint%5Climits%5E9_0%20%7Bs%28t%29%20%5C%2C%20dt%20%5C%5C%5C%5CTotal%5C%20distance%20%3D%20%5Cint%5Climits%5E9_0%20%7B%289t%5E2-90t%2B4%29%20%5C%2C%20dt%5C%5C%5C%5CTotal%5C%20distance%20%3D%20%5B3t%5E3-45t%2B4t%5D_0%5E9%5C%5C%5C%5CTotal%5C%20distance%3D-1422%5C%20units)
The total distance is 1422 units
Find out more at: brainly.com/question/22008756
Answer:
use socratic
Step-by-step explanation:
The slope of this graph is - 4
Step-by-step explanation:
The slope of a line is
, where
and
are two points on the line- The slope of a horizontal line is zero
- The slope of a vertical line is undefined
∵ The graph is a line
∵ The line passes through points (1 , -2) and (0 , 2)
∴
= 1 and
= 0
∴
= -2 and
= 2
- Substitute these values in the rule below
∵ 
∴ 
∴ m = - 4
The slope of this graph is - 4
Learn more:
You can learn more about the slope of a line in brainly.com/question/4152194
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Answer:
50%
Step-by-step explanation:
8+3+4=15
15/3=5
5x10=50