1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
2 years ago
13

The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.

Mathematics
1 answer:
Xelga [282]2 years ago
7 0

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

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

You might be interested in
Write a polynomial that represents the area of the square.
Tema [17]

Answer:

The answer to your question is Area = 49n² - 70n + 25    

Step-by-step explanation:

Data

Length of the side = 7n - 5

Formula

Area of a square = side x side

Process

1.- Substitute values

Area = (7n - 5)(7n - 5)

2.- Expand

Area = 49n² - 35n - 35n + 25

3.- Simplify

Area = 49n² - 70n + 25    

4.- The polynomial is 49n² - 70n + 25  

6 0
3 years ago
Read 2 more answers
Help!!! Here is a screenshot of the problem.
siniylev [52]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
QUESTION 6 OF 17 A Lyft driver has received 160 reviews with an average rating of 4.4 out of 5 stars. If the driver wanted to ra
dexar [7]
He needs 160 5-star reviews in a role. We can write a function to solve this problem. His current total stars is 4.4*160=704. Suppose he needs x more 5-star reviews, then his total stars will be 704+5x. 160+x is the new number of reviews, and the new average will be 4.7, so 4.7*(160+x)=704+5x. The solution is 160. Besides, if you want to get the answer really fast, you can see that 4.7 is right in the middle of 4.4 and 5, so you can immediately guess that the number of new 5-star reviews should be equal to the number of current reviews.
4 0
3 years ago
50(b+5) - 68 + 23 HELLPPP
lbvjy [14]

Answer:

50b+205

Step-by-step explanation:

Yes sir

6 0
3 years ago
Read 2 more answers
A certain basketball player averaged 39 points per game
vichka [17]

Answer:

the anwser is 12

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • What is the value of x that will make A parallel to B?
    12·1 answer
  • Four tangent circles centered on the x-axis are shown below. The radius of circle A is twice the radius of circle O. The radius
    10·1 answer
  • 5 Jean owns a craft store. The protective safeguards endorsement of her BOP requires the store to have a functional automatic sp
    15·1 answer
  • The volume of Jupiter is approximately 10^14 cubic km. The volume of Earth is approximately 10^11 cubic km. How many planets the
    10·1 answer
  • Gina sold 5/8 of a mushroom pizza and 3/4 of an onion pizza to the same family.How much pizza in all did the family buy?
    12·1 answer
  • Determine the difference
    10·1 answer
  • Find the sample correlation coefficient for the following data.
    6·1 answer
  • What is the value of x, y, z? Please answer need help soon
    14·2 answers
  • Buyer x books for P1.50 total cost is P6.00​
    8·2 answers
  • How to prove converse of. basic proportionality theorem​<br>please answer within one hour
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!