Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
Answer: x=25, y=19
Step-by-step explanation: Because the triangle is equilateral, all the angles must be equal to 60 degrees. So 2x+10=60. 2x=50 and x=25. Then the same thing: 3y+3=60. 3y=57, y=19.
Answer:
mean absolute deviation
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
Answer:
80
Step-by-step explanation:
Answer:
Carmen's score is 75 strokes.
Linda's score is 81 strokes.
Step-by-step explanation:
Let the score of Linda be "x".
<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>
Thus, Carmen's score is (x-6).
The total score of the girls is
= 
The total score is given to be 156.
Thus, the equation becomes,
<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>
