The velocity function of a car is given by v(t) = -3t^2 + 18t + 9 m/s. Find the acceleration of the car three seconds before it comes to a stop.


A. a = -6.46 m/s²

B. a = -2.76 m/s²

C. a = -0.46 m/s²

D. a = 2.76 m/s²

Answers

Answer 1

The acceleration of the car three seconds before it comes to a stop is 0m/s²

Given the velocity function expressed as v(t) = -3t^2 + 18t + 9

Acceleration is the change in velocity of a body with respect to time.

a(t) = dv/dt

Differentiating the velocity with respect to time will give;

dv/dt = -6t + 18

a = -6t + 18

a = -3(6) + 18

a = -18 + 18

a = 0m/s²

Hence the acceleration of the car three seconds before it comes to a stop is 0m/s²

Learn more on acceleration here: https://brainly.com/question/16274121


Related Questions

8.
Which of the following is the minimum value of the function y = 1/2x^2 + 2x = + 8 ?

A. 6

B. 0

C. 8

D. 4

Answers

Answer:

A. 6

Step-by-step explanation:

Use the formula  x = − b /2 a  to find the maximum and minimum.

( − 2 , 6 )

Which is an arithmetic sequence?A)9, 12, 16, 20...B)9, 11, 13, 16...C)1, 5, 9, 13, 17...D)12, 14, 16, 18...

Answers

Answer: https://www.khanacademy.org/commoncore/grade-HSF-F-IF#HSF-IF.A.3

Step-by-step explanation:

copy and paste the link on to your search bar

Nelly buy 17 and 1/7 pounds of oranges for $45 from the supermarket how much does 1 pound of oranges cost

Answers

2.62 pls give a heart for me please.

Nathan works the same number of hours each day five days a week he earns $12 per hour last week and $420 how many hours did you work each day last week

Answers

Answer:

35 days

Step-by-step explanation:

First division the total money

with per hour earn

$420/$12

=35 hour's

35/24

=about 1 hour45 minutes

what is the answer for this

Answers

Answer:

n = 4/3 or n = 1.3 repeating

PLEASE HELP!! solve for x and y:

Answers

Answer:

x=21° ,y=25°

Step-by-step explanation:

when there are 2 equal line, so the degree is mirrowed.

straight line contain 180°. For Triangle there have 180°. You can find the degree in other shape but that shape must be 2D,like kuboid or cube or etc.

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 \text{ kg}4 kg4, start text, space, k, g, end text. The total weight of Carl's baggage is 35 \text{ kg}35 kg35, start text, space, k, g, end text.
Write an equation to determine the weight, www, of each of Carl's checked bags.Find the weight of each of his checked bags.

Answers

Answer:

[tex]w=15.5[/tex]

[tex]w=\frac{31}{2}[/tex]

Equation:

[tex]2w+4=35[/tex]

Step-by-step explanation:

[tex]2w+4=35\\2w=31\\w=15.5[/tex]

Hidden Steps:

1) Subtract 4 on each side of the equation:

[tex]2w+4-4=21\\35-4=31[/tex]

2) Divide each side of the equation by 2:

[tex]2w[/tex] ÷ [tex]2=w[/tex]

[tex]31[/tex] ÷ [tex]2=15.5-or-\frac{31}{2}[/tex]

Answer:

Equation: 2w + 4 = 35

Weight: 15.5

Step-by-step explanation:

Let w be the weight of each checked bag.

The weight of Carl's 2 checked bags is 2w kg. The weight of his backpack is 4kg. The total weight of his baggage is 2w + 4 kg.

Since his total baggage weighs 35 kg, let us set this to 35:

2w + 4 = 35

Now you solve:

1. 2w + 4 = 35

2. 2w = 35-4

3. 2w = 31

4. w = 31/2

5. w = 15.5

Therefore, the equation is 2w + 4 = 35 and the solution to " w " is 15.5 kg.

Hopefully this helps you understand more!

Given h(x)=4x+3h , find h(-1)

Answers

Answer:

h(-1) = -7

Step-by-step explanation:

use brackets while doing calculations steps are clearly shown in the photo

hope this helped , if i helped you in acquiring the correct answer please tag me brainliest than... have a nice day

what is 5 times 10 minus 1 plus 5 times 0

Answers

Answer:

0

Step-by-step explanation:

Choose the right one I’ll give brainliest if ur right

Answers

c is your answer to this

C+3/4= 1 1/3 solve for c

Answers

Step-by-step explanation:

your answer is in the picture

the answer is a and c i took the testtt

Answers

Answer:

Nice job.

Step-by-step explanation:

Which of the following statements is true about the quadratic function f(x) = ax2 + bx + c?
Choose the correct statement below.
O A. The constants a, b, and c must be real numbers with a not ever equal to zero.
B. The constants a, b, and c must be real numbers with a always positive.
O C. The constants a, b, and c cannot ever be fractions.
D. The constant c determines whether the graph opens up or down.

Answers

Answer:

A

Step-by-step explanation:

A. The constants a, b, and c must be real numbers with a not ever equal to zero.

Please vote brainliest <3

The true statement is

The constants a, b, and c must be real numbers with a not ever equal to zero.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given:

f(x) = ax² + bx + c

The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).

For writing a quadratic equation in standard form, the x² term is written first, followed by the x term, and finally, the constant term is written.

Hence, The constants a, b, and c must be real numbers with a not ever equal to zero.

Learn more about quadratic equation here:

https://brainly.com/question/17177510

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag correct position in the answer box. Release your mouse button when the item is place. If you change your m the item to the trashcan. Click the trashcan to clear all your answers. Indicate the equation of the line through (2, -4) and having slope of 3/5. IG V + + | C 123456 718190x y2 NEXT QUESTION O ASK FOR HELP​

Answers

Answer:

Y=3/5 X -4 just trust me on this one. eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

___________________________________________________________

Answers

Answer:

A

Step-by-step explanation:

I think it is A because if you do the math when your double her time she has way more distance.

Solve for SR.

Also feel free to tell us how your day has been :D

Answers

Answer:

12

Step-by-step explanation:

Triangle PQR and triangle STR are congruent and that makes |PR| and |SR| equal in measure:

2x + 6 = 4x export like terms to same side

6 = 4x - 2x subtract

6 = 2x divide both sides by 2

3 = x

SR is represented with 4x now replace x with 3

SR = 4*3 = 12

4d + 15 ≤ -1 What is the solution for the inequality?

Answers

Answer:

d ≤ -4

Step-by-step explanation:

1.) 4d + 15 ≤ -1

      -15    -15

2.) 4d ≤ -16

4/4       -16/4

d≤-4

can someone please check my work! question: simplify the expression and rationalize the denominator. 16x^4y^8 / 5

if it’s wrong can you please explain step by step and what i did wrong please :) and thank you.

Answers

Answer:

  your work is correct

Step-by-step explanation:

  [tex]\sqrt{\dfrac{16x^4y^8}{5}}=\sqrt{\left(\dfrac{4x^2y^4}{5}\right)^2\cdot5}=\boxed{\dfrac{4x^2y^4\sqrt{5}}{5}}[/tex]

__

Additional comment

You can multiply by √5/√5 as you have done, and as conventionally taught, or you can multiply by 5/5 under the radical to make the denominator a perfect square.

n 23) Write an equation in slope-intercept
form for the line that passes through (3,1) and (1,2).

Answers

Look at image linked for answer

Answer:

the slope is 1/-2

the equation is y=1/-2x+2.5

write each ratio in simplest form 30 inches to 1 ft

Answers

Answer:

5:2

Step-by-step explanation:

convert 1ft to inches. 30 inches to 12 inches. 15 to 6. 5 to 2.

The simplest form of the ratio 30 inches to 1 ft will be 5: 2.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number.

Given that;

The ratio is,

⇒ 30 inches to 1 ft.

Now, Solve the ratio in simplest form as;

We make both number is same units.

Since, we know that;

1 feet = 12 inches

Hence,

The ratio become 30 inches to 12 inches.

Now, Solve in simplest form of the ratio 30 inches to 12 inches.

⇒ 30 inches to 12 inches

⇒ 30 : 12

⇒ 30 / 12

Divide in numerator and denominator by 2;

⇒ 15 / 6

Divide in numerator and denominator by 3;

⇒ 5 / 2

Thus, The simplest form of the ratio of 30 : 12 is = 5 : 2

Therefore,

The simplest form of the ratio 30 inches to 1 ft will be 5: 2.

Learn more about the ratio visit:

https://brainly.com/question/24613775

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x=7 what is 3x pleasee help i need this by tomorrow ​

Answers

Answer:

[tex]x = 7 \\ 3x = 3(7) = 21[/tex]

hope helpful <3

NEED HELP!
Based on the data shown in the graph above, how many hours will it take the shipping company to pack 180 boxes?

Answers

It will take the company 60 hours.

Answer:

14.4 hours or 14 hours and 24 minutes

Step-by-step explanation:

1) Find slope using two points

(1,10);(5,60)

(60-10)/(5-1) = 50/4 = 12.5 boxes per hour

---------------------------------

2) Divide

180/12.5 = 14.4

--------------------------------

14.4 hours or 14 hours and 24 minutes

50 POINTS PLEASE HELP FAST!!!!!
The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

Answer:

11+2x= 52 , $20.50 equal one pass

Step-by-step explanation:52 is the total and $11 is included in that total. So you have part of your equation : 11 + something = 52. In order to find that " something " you have to set up a variable : 2x , 2 because that is the amount of passes bought and X because you don't know the cost of the passes yet. You now have your equation : 11+2x=52. Next you isolate the "2x" by subtracting eleven from itself and what you do to one side of the equation you have to do to the other, so you subtract 11 from 52 and are left with 41 . You then have the simplified equation : 2x=41 . Now you're going to isolate the variable by dividing 2x by 2 and doing the same to 41. You're then left with X= 20.50 , the cost of one ticket

This puzzle is to take an odd digit and use it
exactly three times so that the three digits are
equal in value to an even number. Addition,
subtraction, multiplication, and division are not

Answers

Answer:

blah 23 =67=43

Step-by-step explanation:

if f(x)= 3x+2, what is f(5)

Answers

Answer:

17

Step-by-step explanation:

f(5)=3x+2

f(5)=3(5) +2

15+2=17

Answer:

17

Step-by-step explanation:

f(5) = 3(5) + 2

f(5) = 15+2

f(5) = 17

help,look at my account im going to be posting multiple of these and whoever answers correctly i eill put brainliest answer thank you!

Answers

Answer:

20

5

0

5

Step-by-step explanation:


Which inequalities are true? Check all that apply.
3/5 < 0
4/6 > 1/2
9/11 < 1
3/8 > 1/2
8/16 > 1/2
Plz help

Answers

Answer:

the 2nd and the 3rd are true

Answer: If you search it there is some vids

Step-by-step explanation:

Please help! Only answer if correct.

Answers

Answer: 180 minutes

Step-by-step explanation: 0.20-0.15=0.05

22-13=9

9 divided by 0.05 = 180

so its 180 minutes of calls

To amend the U.S. Constitution, 3/4 of the 50 states must approve the amendment. If 35 states approve the amendment will the constitution be amended

Answers

No. That’s only 70%. You need 75%

bearing in mind that fraction wise we can represent any WHOLE as 1, 5/5 = 1, or 333/333 = 1, so we can say that the whole of the states or namely 50/50 = 1, so we can say that

[tex]\begin{array}{ccll}amount&fraction\\\cline{1-2}50&1\\35&x\end{array}\implies \cfrac{50}{35}=\cfrac{1}{x}\implies 50x=30\implies x=\cfrac{30}{50}\\\\\\\boxed{x = \cfrac{3}{5}\implies 0.7}\\\\[-0.35em]~\dotfill\\\\\cfrac{3}{4}\implies 0.75~\hspace{10em}\stackrel{\textit{since 0.7 is less than 0.75, \underline{nope}}}{0.7 < 0.75}[/tex]

Every day Sasha spends 45 minutes practicing the oboe. She has already practiced the oboe for 22 minutes today. How much longer must she practice today?

Answers

tha answer is 45-22=23 so the answer is 23 minutes :)
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