at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.

Answers

Answer 1

Answer:

27 m

Step-by-step explanation:

The position of a body is given by :

[tex]s=t^3 - 12t^2 + 36t[/tex]

We need to find the total distance traveled by the body from t=0 to t=3.

At t = 0,

[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]

At t = 3 s,

[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]

So, the total distance from t=0 to t=3 is equal to 27 m.


Related Questions

Which of the following statements is true about the number [tex]\frac{30}{2}[/tex]?

- It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
- It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
- It is contained in the set of natural numbers, whole numbers, integers , and rational numbers, but it is not contained in the set of irrational numbers.
- It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.

Answers

9514 1404 393

Answer:

  (c)  - It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.

Step-by-step explanation:

The improper fraction (a rational number) reduces to 15, a whole number, natural number, and integer. A ratio of integers is never an irrational number.

The best description is the third one:

- It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.

What is the teams score?

Answers

Answer:

Can you give more information?

sorry I can't give you an answer, try posting the question again with all the information!

10. A tractor costs $13,650 and depreciates in value by 14% per year. How much will the tractor be worth after
10 years?
a $2,597.86 b. $13,510.00 c. $3,020.77 d. $50,603.57

Answers

The answer is B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Can someone help I know it's easy. ( picture attached)

Answers

Answer:

B 125.6

Step-by-step explanation:

We can use the formula for the circumference to solve.

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex](20)

C=(6.28)(20)

C=125.6

Select all that apply. Which groupings are located on the File tab?

Layout
Share
Print
Insert
Export​

Answers

Answer:

InsertExportShare

Step-by-step explanation:

File Home Insert Page Layout References Mailings Review View Design

The diagram shows a convex polygon what is the value of s please help me

Answers

The value is 25 sksgsjsksksjgdjwlapajshebiswk

solve the rational equation 8-6/x=5+12/x

Answers

I’m not really a math person but I got
x=6

x=6 is the answer to 8-6/x=5+12/x

Find the probability that a randomly selected point within the circle falls into the white area round to the nearest tenth of a percent

Answers

Answer:68%

Step-by-step explanation:

find area of the circle=50.2

Find the are of the triangle=16

Then find ratio=16/50.2

Then reduce=8/25.1=32%

Then subtract= 100-32=68%

HELP GIVING BRAINLY!
Which expression shows how to write 1/6 - 2/3 using a common denominator

Answers

Answer:

3rd option

Step-by-step explanation:

Common denominator is 6. Multiply to get each term to a denominator of 6. Multiply first numerator and denominator by 1 and multiply 2 and 3 in the 2nd term by 2 each to get 6 as the denominator.

This will result in 1/6 - 4/6

help please. will give Brainly.​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The filling in of the formula for the n-th term is pretty straightforward. The attachment shows how simple it is.

The 7th term is found by evaluating the expression for n=7.

  a₇ = 192

NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP

Answers

Answer:

90 degree angle i think

Step-by-step explanation:

Hope this helps you

9514 1404 393

Answer:

  b = 90°

Step-by-step explanation:

Angles a, b, c total 180°, and angles a and c are complementary, meaning they total 90°. The measure of angle b is ...

  b = 180° -90°

  b = 90°

__

All of the angle measures are ...

  a = 90° -c = 90° -56° = 34°

  b = 180° -90° = 90°

  c = given = 56°

  d = given = 124°

  e = c = 56°

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

Alternate Exterior

Step-by-step explanation:

This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.  

The answer is b. Alternate interior because they are opposite

In the year 2012, 12% of the residents of the US moved to a different residence. Suppose that several
census workers took random samples of n = 150 residents from the population and computed the
proportion p of residents in each sample who had moved in 2012
What would be the shape of the sampling distribution of p?

Answers

Answer:

Approximately normal

Step-by-step explanation:

Write a quadratic function f whose zeros are 6 and -5 .

Answers

Answer:

so ez

Step-by-step explanation:

HI IM INDIAN AND STUDING IN 10TH GRADE U?

Can some help with this and maybe explain​

Answers

Answer:

Step-by-step explanation:

81 = m/9

Divide both sides by 9

9 = m

h ÷ 3 = 12

h = 12/3 = 4

In this way you have to solve the other questions

What is the median for the set of data 3.5 1 3 4​

Answers

Answer:

3.5

Step-by-step explanation:

Test Scores

1, 1, 2, 3, 3, 4, 4, 5, 5, 5

median(middle #)

(3+4)/2 = 7/2 = 3.5

Answer:

3.5

Step-by-step explanation:

find the value for x

Answers

Answer:

x = 6°

Step-by-step explanation:

Rule of vertical angles claims that the opposite angles ar the same

19x - 4 would be the opposite to 110

and 19x - 4 would equal 110

Lets form an equation

19x - 4 = 110

Evaluating

19x - 4+4 = 110 + 4

19x = 114

x = 114/19

x = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I need help please asap......................

Answers

Answer:

hi

Step-by-step explanation:

Find a positive angle less than 360° that is coterminal with the given angle.
410°

Answers

Answer:

50°

Step-by-step explanation:

Subtract 360° from 410°

50° is positive, less than 360°, and is a coterminal of 410°

i believe thats 50°

12/23 plus -11/23 e eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1/23

Step-by-step explanation:

This honestly super easy, but here it is!

12/23+(-11/23)

With no negatives, it would be 12/23+11/23 and the answer would be 23/23 AKA 1, because 12+11=23.

With negatives though, you always have to subtract the number itself from the positive number if the number is negative. Here we will subtract 11 from 12, which brings us to 1/23.

Hope this helped!

I wouldn't mind a 5-star rating, a thanks, or even a Brainliest :D

-ChocoChocoCho

Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.​

Answers

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECD

Step-by-step explanation:

What is Landscape evolution theory

Answers

Answer:

Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.

Step-by-step explanation:

hopes this helps

have a good day :)

Solve for pizza in the pie chart!

Answers

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

Answer:

The answer is 24 students

Step-by-step explanation:

The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.

(4y^4)^2 without exponents

Answers

Answer:

I don't understand but I believe the answer is 16y^8

Step-by-step explanation:

Answer: (4 x a x a x a x a) x (4 x a x a x a x a)

HOPE THIS HELPS

The sum of two angle measures is 73.80. One angle has a measure of 44.25. What is X, the measure of the second angle in degrees​

Answers

Step-by-step explanation:

X1 + X2 = 73.80

Assumption : X1 = 44.25

X2 = unknown angle = 29.55

Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Answers

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

The experimental probability that Jason will roll a 2 is 3/14.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Find g(-6) when g(x)
= x+3/x-1

Answers

Answer: The answer would be 3/7.

Step-by-step explanation:


I don’t know how to solve the question so can you explain how you did it so I don’t have to come back on this app.

Answers

The answer is 16.

—Explanation—
•] You can calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $16 as follows: $16 x .10 = $1.60 savings.
•] you get the final price by simply deducting .10 from 1 and multiplying it by $16 as follows: (1 - .10) x $16 = $14.40 final price.

Which equation finds the length of side c of this right triangle

Answers

Answer:

Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Use the Pythagorean Theorem to find c:

a² + b² = c²

√a² + b² = √c²

c = √a² +b²


I need help with this if you get it right I will mark you as brainlest

Answers

Answer:

The answer is 300!

Step-by-step explanation:

Answer: $300

Step-by-step explanation:

How we find it out is by finding 25% of $1,200 which is 300

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