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

Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Length of remnant fabric = 9.7m

Number of 0.85m length needed for patio = 12

Total length needed = (0.85 * 12) = 10.2m

The length of fabric needed is more than the length of remnant fabric found ;

10.2 m - 9.7m = 0.5m

Hence, Alex will need 0.5m more fabric

Place the indicated product in the proper location on the grid.

(2x - )2

Answers

Answer: it will be (4x-)

explanation: because the 2 that is outside the bracket will affect the 2 that is inside so it will be (4x-)

Answer:

Hope it helps u

Step-by-step explanation:

FOLLOW MY ACCOUNT PLS PLS

What is y in this equation

Answers

Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Y = 88
Explanation/ none

What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?​

Answers

The first step would be x+15
I think

Answer:

Distribute the 4

Step-by-step explanation:

You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.

PLEASE HELP! 20 POINTS!!

Answers

Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!

How do I solve this???

Answers

Answer:

Step-by-step explanation:

BC
Round your answer to the nearest hundredth.
А
50°
?
3
B

Answers

Use the sine function.

sine = opposite side of triangle divided by the hypotenuse.

Here is the set up:

sin(50°) = BC/3

sin(50°)/3 = BC

Use your calculator to simply left side.

Take it from here.

uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : It would be narrower  ( C )

Step-by-step explanation:

When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .

PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)

Answers

Answer:

True

True

False

False

Step-by-step explanation:

Not absolutely positive, but I believe this is correct.

Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196

Answers

Answer:

A

Step-by-step explanation:

(3x - 14)^2

9x^2 - 42x -42x +196

9x^2 - 84 +196 is the correct answer

What is the answer for 82-(72+1)

Answers

Answer:

The answer should be 9.

Step-by-step explanation:

The answer is 9 I used a calculator

I need help with math asap ​

Answers

um where’s the question?

fine the Value of t in the equation


Answers

Answer:

14.4

Step-by-step explanation:

6 x (t1/3 + t1/2) = 12(6)

2t + 3t = 72

5t = 72 /5

t= 14.4

plese help me
21,382.62 ÷ 10,000

Answers

Answer:

2.138262

Please mark my answer as the brainliest for further answers :)

Answer:

2.138262

Step-by-step explanation:

21,382.62 ÷ 10,000


The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds

Answers

Answer:

After 4 seconds, the object will have fallen 512 feet.

Step-by-step explanation:

Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3

seconds, the distance the object falls in 4 seconds, the following calculation must be performed:

288/3 ^ 2 = X

288/9 = X

32 = X

X / 4 ^ 2 = 32

X / 16 = 32

X = 32 x 16

X = 512

Thus, after 4 seconds, the object will have fallen 512 feet.

Which number has a greater value than |-2.6|?
A. -2.9
B. -|7|
C. -2.6
D. |-6|

Answers

Answer:

B (7)

Step-by-step explanation:

If you put a number in absolute value bars,

B which is right because it is

jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates

Answers

Answer:

90

Step-by-step explanation:

If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?

Answers

Answer:

dimensions are 2 ft, 24ft

Step-by-step explanation:

width = w

length = 12w

Area of rectangle = 48 square feet

length * width = 48

12w * w = 48

12w² = 48           {Divide both side by 12}

w² = 48/12

w² = 4 =2²

w =2 ft

l = 12*2 = 24ft

Answer:

Solution :-

Let the width be w and Length will be 12w

So,

Area = lw

48 = 12w × w

48/12 = w²

4 = w²

√4 = √w²

2 = 2

Length = 12(2) = 24 cm

Breadth = 2 cm

[tex] \\ [/tex]

Solve equation by using the quadratic formula.
2x? + 13x = 0

Answers

Answer:

c

Step-by-step explanation:

Marcie baked several pies. She used 4 cups of flour for the dough. How many pints of flour did she use?
I have to turn this is Immediately please ​

Answers

Answer:

well if several means 3 then she used 12 pints.

Step-by-step explanation:

3X4=12

4X4=16

5X4=20 and so on.

The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)

Answers

Answer:

H0 : μ = 3.2

H1 : μ > 3.2

1.982

We fail to reject the Null ;

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

Step-by-step explanation:

μ = average time taken by the previous contractor. ; μ = 3.2

H0 : μ = 3.2

H1 : μ > 3.2

Sample size, n = 12 ;

X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

xbar = Σx / n = 53.2 / 12 = 4.43

Standard deviation, s ; using a calculator :

s = 2.15

B.)

The test statistic :

(xbar - μ) ÷ (s / sqrt(n))

(4.43 - 3.2) ÷ (2.15 / sqrt(12))

1.23 ÷ 0.62065

= 1.982

C.)

Decision Region :

If Pvalue < α ; Reject the null

α = 0.05

Pvalue :

P(x < 1.982) = 0.9762

0.9762 > 0.05 ; Hence, we fail to reject the Null

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

3. n = 18, p = 0.90, q = 0.10

[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

No

4. n = 20, p = 0.65, q = 0.35

[tex]np = 20*0.65 = 13 > 5[/tex]

[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes

Study each equation, then solve.

18) 5 + r = 6 - r

Answers

Answer:

5+r=6-r

-5 -5

r=1-r

+r +r

2r=1

÷2 ÷2

r=1/2

Which number describes the median of the data given in the table?​

Answers

Where is the table?

Answer:

how can i answer?

Step-by-step explanation:

Will give brainliest and 50 points to who ever gives me the answer and not a link

Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.

Answers

Calculate the area of the triangular ends
Area = 1/2bh = 1/2 x 3 x 2 = 3
Now calculate the area of the rectangular surfaces
Area = lw = 3 x 10 = 30

Add 2 triangle and 3 rectangles
Total area = 3 + 3 + 30 + 30 + 30 = 96 sqft

What is the product of -8 and -7

Answers

Answer:56

Step-by-step explanation: -8x-7=56

Answer: -15

Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)

can u tell me is this test important or not

Answers

Answer:

Yes, indeed it is one of the most important examinations.

evaluate the expression x-9=3 (solve)

Answers

Answer:

x = 12

Step-by-step explanation:

[tex]x - 9 = 3 \\ x = 3 + 9 \\ [/tex]

[tex]\boxed{Answer:{\boxed{\green{x = 12}}}}[/tex]

Can anyone help me please i already did one but I am begging for help

Answers

Answer:

#5)  

     Figure 1: 4

     Figure 2: 9

     Total: 13

#6)

     Figure 1: 10

     Figure 2: 30

     Total: 40

#7)

     Figure 1: 36

     Figure 2: 36

     Total: 72

#8)

     Figure 1: 12

     Figure 2: 28

     Total: 40

     (The numbers in the image are incorrect)

PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME

Answers

1.5 / 1
A 1has to be the denominator so for example, 100 yards / 1 minute of jogging
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