Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?

Amy Purchased A Brandnew Mountain Bike, Which She's Riding Through The Winding Trails. The Bike's Displacement

Answers

Answer 1

Answer:

a = 14 m/min²

Step-by-step explanation:

The displacement of bike is given by :

[tex]s(t)=t^3-2t^2+3[/tex]

Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]

Finding velocity of the bike.

[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]

Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]

[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]

At t = 3 minutes,

a = 6(3) - 4

= 18-4

= 14 m/min²

So, the bike's acceleration after 3 minutes is 14 m/min².


Related Questions

What is 3x-6+7y-4y plsssssssssss helpppppppp meeere

Answers

Answer:

Assuming you combingin like terms

3x-6+3y

Help me out to get this math problem solve

Answers

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Which of the following is equal to the absolute value of 5 + 7 − 15? A −3 C 3 B 0 D 27

Answers

Answer:

3

Step-by-step explanation:

the answer of 5+7-15 is -3, so absolute value makes it 3

plz brainliest

the answer to the thing is 3 cuz 5 plus 7 is 12 and 12-15 is -3 and the absolute value of -3 is 3

If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there

Answers

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

What property would you use to find an equivalent expression for 8 + ( 7 + 9)?

Answers

Answer:

Associative Property

Step-by-step explanation:

I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)8 + 7 + 9(8 + 7) + 9(8 + 9) + 7

I hope this helps!

Answer:

associative property using this question

Megan has a bowl containing $1.95 in pennies and dimes. If she has 3 times as many pennies as she has dimes, how many pennies and how many dimes does she have?

Answers

Answer: she has 15 dimes and 45 pennies.

Step-by-step explanation:

01p+1d=1.95

p=3d

01(3d)+.1d=1.95

p=3.15

03d+.1d=1.95

p=45

.13d=1.95

d=15

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.

Identify the independent and dependent variables.

HEEEEELP ME ILL DOOOO ANYTHING PLEEEEASE

Answers

Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)

7. How many terms are in the expression?
7q+6q + 2 .
(1 Point)

Answers

Answer:

3 terms

Step-by-step explanation:

Hi there!

Terms are constants or variables in an algebraic expression separated by plus and minus signs.

With this information, that means that 7q is a term, 6q is a term, and 2 is a term.

Without simplifying the expression, there are 3 terms.

I hope this helped!

Help I don’t understand

Answers

Step-by-step explanation:

Answer:

1 pounds

Step-by-step explanation:

It basically means theres 1000 things that all weigh the same, so they add up to 0.1 pounds (0.1/1000= 0.00001 ) All you need to do is multiply by 10 so it would be 1 pound :)

The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Answers

Answer:   For plato family

A fossil with 47% of its carbon remaining is approximately how old

2998

A fossil that is 7000 years old will have approximately

17%

Step-by-step explanation:

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

https://brainly.com/question/395066

#SPJ2

Jordan invests £16200 into his bank account
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate​

Answers

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

Answer:

£18,225

Step-by-step explanation:

2.5% of £16,200 = £405

10% of £16,200 = £1,620

5% of £16,200 = £810

5 years: 16,200 + 5 x 405 = £18,225

Evaluate x divided by y if x = 3 1/2 and y = 3/4

Answers

Answer:

4 2/3

Step-by-step explanation:

hope this helps

What is the slope intercept form of the equation of a line with a slope of 2 and a y intercept of -7

Answers

Answer:

y=2x-7

Step-by-step explanation:

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease

Answers

Answer:

a. decrease

b. recklessly

c. increase

Step-by-step explanation:

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.

Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents

What is the answer to 9 - x - 5x = -9

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x

Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.

What is the volume of the pyramid?

A 17cm^3, 56cm^3, 84cm^3 or 168cm^3

Answers

Answer:

56cm2

Step-by-step explanation:

1÷3×4×6×7

=56cm2

Hey would someone help me with my math question ?

Answers

Answer:

Store number 1 has the best discount.

Step-by-step explanation:

Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.

It is B the first store has the best deal please give branliest

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

What the slope of this please help :)

Answers

Answer:

-0.1

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex] - \frac{1}{10} [/tex]

help ME PLS

WILL MARK BRAINLIEST

Answers

Answer:

62b+27nb-12n-12

Step-by-step explanation:

u gotta combine like terms

Answer:

-0.7 .................

HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!

Answers

Step-by-step explanation:

Area of Glass surface

= Area of Parallelogram - Area of Rectangle

= (20in * 16in) - (4in * 16in)

= 256in².

Hence it is 256 square inches.

P.S. Question photo got changed, ignore this.

Answer: The area of the figure is 32 square

plz mark brainly

there are 9 marbles in a bag, 3 of those marbles are red. what is the probability of picking a red marble randomly from the bag?
answer as a simplified fraction in form a/b

Answers

Answer:

1/3 because there's more of the other marbles than red

Step-by-step explanation:

Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?

Answers

Answer:

32

Step-by-step explanation:

We can either add all the terms.

2+6=8

2,8

8+6=14

2,8,14

14+6=20

2,8,14,20

20+6=6

2,8,14,20,26

26+6=32

2,8,14,20,26,32

The Sixth term is 32

or We can multiply 6 times 5 (30) and add 2, which would give us 32.

The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).

If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE

Answers

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.

Answers

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

Find the value of each variable. I’ll mark you as a brainliest

Answers

Answer:

See below

Step-by-step explanation:

Q11

Triangle is 45° and therefore isosceles

x = 10y = 10√2

Q12

y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3

Q13

x = 32/2 = 16, same reason as abovey = 16√3

Q14

x = y = 6/√2 = 6√2/2 = 3√2

Q15

x = 11√3/√3 = 11y = 2x = 2*11 = 22

Q16

z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3

3z - 3
when z = 7

pls respond asap

Answers

3 • 7=21-3=18 there urs answers

Why did a gacha yt ad pop up when my teacher put up a yt vid

Answers

Answer:

she watching u

Step-by-step explanation:

Can you please give more details it’s would help a lot
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