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
Determine if the following triangle is a right Triangle. Write your answer, claim, as a
Reptile [31]

Answer:

Step-by-step explanation:

Check if the lengths of the sides follows the Pythagorean theorem.

9² + 12² ≟ 15²

81 + 144 ≟ 225

225 = 225

Triangle ABC is a right triangle.

7 0
3 years ago
What are the solutions to the expression 4x2+11x−3
lina2011 [118]

Step-by-step explanation:

4x² + 11x - 3 = 0

(4x-1)(x+3) = 0

x = 1/4, -3

6 0
3 years ago
Read 2 more answers
Multiply by 4, then divide by 2 First term: 60 ​
harina [27]

IT IS SO FIRST YOU WANNA GO TO THIS LINK IT WILL SHOW YOU EVERY THING HERE IT IS                                              DEz.........................................................................NUTS

3 0
3 years ago
Someone please say the correct answer!
algol [13]
2nd, 4th, and 5th answers are correct
8 0
3 years ago
5(2x – 3) = 5 Part A: How many solutions does this equation have? (4 points) Part B: What are the solutions to this equation? Sh
Maru [420]

ANSWER

a) One Solution

b) the solution is x=2

EXPLANATION

The given equation is:

5(2x - 3) = 5

We expand to get;

10x - 15 = 5

Group similar terms;

10x = 15 + 5

This implies that,

10x = 20

Divide both sides by 10 to obtain,

x = 2

7 0
3 years ago
Other questions:
  • each hour, the number of bacteria in Dr. Nalls petri dish tripled. what percent is the population compared to the population the
    8·1 answer
  • A rock is thrown upward from a bridge that is 43 feet above a road. The rock reaches its maximum height above the road 0.91 seco
    12·1 answer
  • When 21 is subtracted from the square of a number, the result is 4 times the number. Find the positive solution.
    5·1 answer
  • A student solved the equation below. Describe the error they made. (What did they do wrong? What should they have done?) *
    7·1 answer
  • Pls help extra points
    13·2 answers
  • Please help, will give brainliest! Which is NOT equivalent to this expression? 4(3x^2+6x)
    7·1 answer
  • At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%.
    7·1 answer
  • Seven more than one fourth of a number is one less than one third of a number
    12·1 answer
  • Can someone explain what i do to solve for this!
    9·1 answer
  • The table below shows the value of a car during certain years . Using an exponential model , write an equation for the curve of
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!