s = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. *

A) 30 m, 30 m/sec
B) 44 m, 22 m/s
C) 18 m / sec , 27 m /sec
D) 30 m / sec , 15 m /sec

Answers

Answer 1

Answer:

no choice

use calculus to find vav

s'=v=12t+3

v(0)=3

v(2)=27

so vav=(27-3)/2

vav=12


Related Questions

A local movie theater earned $250,000 in revenue last year. What were the movie theater’s mean monthly earnings last year to the nearest dollar

Answers

Answer:

$20833 per month

Step-by-step explanation:

Haley and mia's dad said if they combined the money they've saved. He would double it.

Find equivalent expression

Answers

Answer:

I have no idea, I have been trying to figure it out

After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

They will have the same amount at blank weeks. They will both have $blank in their account. This is the solution because the point ( blank, blank) is blank both lines and make both equations blank?

Answers

So, first Andre is starting with 100 dollars in his savings account. Every week, he adds 5 dollars. And Elena starts with 10 dollars and adds 20 dollars per week.
1. Solve what Andre did.
$5 multiplied by 4 weeks = $20. So, $100 + $20 = $120.
2. Solve what Elena did.
$20 × 4 weeks = $80. $10 from her savings account + $80 = $90
3. So, Andre has more money because he started with $100, which is lots of money. And Elena only started with $10. So, Andre has $30 more than Elena.
4. For Part B, you have to count how many weeks in order for both of them to have the same amount of money left in their savings account.
5. Since Andre gets $5 a week, he can get at least 2 weeks and get $130. And for Elena, she would have to do 2 weeks also. For now she has $90, but for two weeks would be $130.
Answer for Part B: Each of them would have to do 2 weeks to get the same amount. (Which is 4 weeks)

find the amount of time.

I=$450,P=$2400,r=7.5%
please help it is due today

Answers

Answer:

Time=I×100/P×T

=450×100/2400×7.5

=4years

Step-by-step explanation:

given: ABC - DEF prove: the perimeters P1 and P2 of ABC and DEF are the same ratio, r, as the lengths of their corresponding sides.
match each statement to its corresponding reason. scroll down to see all the choices. drag the items on the left to the correct location on the right.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP!? SUPER EASY!!!!!!!!!!!!!!!!!!
Write an equation for the situation below: You bought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?

Answers

Answer:

9

Step-by-step explanation:

Answer:

8 candy bars.

Step-by-step explanation:

19 - 3 = 16 ÷ 2 = 8.

What is the quotient and remainder, written as partial fractions, of StartFraction 4 x cubed + 11 x squared minus 9 Over x squared + 3 x + 2 EndFraction?

Answers

Answer:

D

Step-by-step explanation:

trust

The quotient and remainder, written as partial fractions will be [tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex].

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

The degree of the numerator is the same as the degree of the denominator, this fraction needs to be simplified.

The rational expression is

[tex]\frac{4x^{3} +11x^{2} -9}{x^{2} +3x+2}[/tex]

Now, the denominator needs to be factored in to split up the second part of the simplified expression into two different partial fractions.

x^2 + 3 x + 2

( x + 1) (x + 2)

The general form of partial fractions.

[tex]A + \frac{B}{x +a} + \frac{C}{(x +a)^2}[/tex]

This gives us,

[tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex]

Learn more about quotient ;

https://brainly.com/question/730603

HELP please ASAP. I am being timed, and I am very confused on these two questions, answering both questions would be really appreciated...

Answers

Exponential i think maybe

How many groups of 1 & 2/3 are in 1 & 5/6? Please answer im desperate!

Answers

Answer: the answer is 2

Step-by-step explanation:

youre welcome if it helped

help me solve this geometry question​

Answers

Answer:

a°+110°=180°[ being linear pair]

a°=180-110

a°=70°

b°=a°=70°[ being base of equilateral triangle]

c+b+a=180[being interior angle of triangle]

c+70+70=180

c+140=180

c=180-140

c=40

b

A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2(18)+3(18) to model the total cost for the family, and Alex used the expression 5(18). Which property of operations makes both of their expressions correct? O associative property O commutative property O distributive property identity property​

Answers

Answer:

distributive property

Step-by-step explanation:

5(18)=2(18)+3(18)

Distributive property

c(a+b) = ca+cb

We are using the left hand side and adding a+b

18(2+3) = 2* 18+ 3*18

18*5 =  2* 18+ 3*18

I need help again lol <3
A music store buys instruments and then sells them for 30% more than they paid.
During a 20% off sale, the store offers a clarinet for $93.60.


How much did the store pay for the clarinet?

Answers

$93.60 x 0.2 = $18.72

$93.60 + $18.72 = $112.32 = Price before 20% discount.

$112.32 ÷ 100 x 30 = $33. 696 = Discount of 30%

$112.32 - $33.696 = $78.624 = Original Price

Therefore, the store paid $78.624 for the clarinet before the 30% markup and 20% discount.

It's just a process of working backwards.

Hope this helps :))

On every three hamburgers that McDonald's makes, they use 9 pickles. What is the ratio of hamburgers to pickles in simplest form?

Answers

Answer:

3 pickles per burger lol

1:3

Step-by-step explanation:

Answer:

3:9

1:3

because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3

Does the relationship {(1,1), (2,1),(3,2), (4,3), (5,5), (6,8), (7,13)} represent a function?
Yes

Answers

Answer:

Yes.

Step-by-step explanation:

A function is a set of relations without repetitive domains.

From the given relation, there are no repetitive domains. Thus our relation here is a function.

Example of Function

{(1,1), (2,2), (3,3), (4,4), (5,5)}

Example of Non-Function

{(1,1), (1,2), (2,3), (3,4), (4,5)}

From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.

Can you please help me:(

Answers

Answer:

B

Step-by-step explanation:

Since the y-intercept is (0,3), the second part of the equation of slope (y = mx+b) will be +3. There are three ways to find the slope. Just look at the graph and see how much y increases for every time x increases is the first way. Another way is to find two points that have WHOLE numbers. now count the distance of y between them and the distance of x between them. Now put y over x (y/x). The last way is y1-y2/x1-x2, where you choose to straight points and subtract the y from the other y and the x from the other x, then put y over x. Now we can put the whole equation together to get y = 3/2x +3. or y = 1 and 1/2x+3 (its usually an improper fraction though). Hope this wasn't confusing and helped.

The _____ of a type of measurement indicates how free that measurement is from random error. Multiple Choice validity verifiability reliability utility generalizability

Answers

Answer:

Reliability

Step-by-step explanation:

Here, we want to select the option that best completes the given question

The correct answer is the reliability

When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error

Measurements that are free from random error are said to be reliable

4. A theater has a seating capacity of 900 and charges $2.50 for children, $4 for students, and $5.50 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The total money brought in was $3825. How many children, students, and adults attended the show?​

Answers

Answer:

We have 3 variables to solve for.  We will start by writing two equations in three variables but, with the given information, will eventually have those equations written in 2 variables.  The strategy is to set up equations from the given information and solve the equations simultaneously.  Let's assign variables...

c= #children total

s= #students total

a= #adults total

c+s+a=900.............Eq1, total attendance, given

4c+6s+8a=5600....Eq2, total receipts, given

a=(1/2)(c+s)

 =(1/2)c+(1/2)s.....Eq3, #adults total, given

Let's substitute Eq3 into each Eqs1,2 to get two equations in two variables...

c+s+(½c+½s)=900.........Eq1, substitute for"s"

      1.5c+1.5s=900.......combine like terms

            3c+3s=1800.....Eq4, multiple equation

                                      by 2 to eliminate fraction

4c+6s+8(½c+½s)=5600...Eq2, substitute for "s"

   4c+6s+(4c+4s)=5600...distribute 8

               8c+10s=5600...Eq5, combine like terms

Let's solve newly arrived at Eq4,5 simultaneuously...

    3c+3s=1800......Eq4

  8c+10s=5600......Eq5

-24c-24s=-14400...Eq4 multiplied by (-8)

24c+30s=16800...Eq5 multiplied by 3

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

          6s=2400.....add all terms vertically

        ∴ s=400.......divide both sides by 6

Substitute value back into Eq4, solve for "c"...

      3c+3s=1800...Eq4

3c+3(400)=1800...substitute for"s"

  3c+1200=1800

            3c=600.....subtract 1200, both sides

          ∴ c=200....divide both sides by 3

Substitute values back into Eq3, solve for "a"...

  a=(1/2)(c+s).............Eq3

    =(1/2)(200+400)...substitute for "c,s"

    =(1/2)(600)

∴ a=300.....................simplify

We now have our three variables solved.  Let's substitute those values back into original Eqs1,2 to check against the problem requirements...

          c+s+a=900.......Eq1

200+400+300=900....substitute for "c,s,a"

               900=900......true, √check

                  4c+6s+8a=5600.....Eq2

4(200)+6(400)+8(300)=5600...substitute for

                                                  "c,s,a"

        800+2400+2400=5600...simplify

                         5600=5600......true, √check

So our calculated values are correct. Always check your solutions and work!

In summary, we have...

200 children, 400 students, and 300 adults in attendance at the theater for the screening.

Step-by-step explanation:

There were total 150 childrens, 450 students and 300 adults.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a theater that has a seating capacity of 900 and charges $2.50 for children, $4 for students, and $5.50 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The total money brought in was $3825.

Assume that there were [x] childrens, [y] students and [z] adults. Then, we can write the equations as -

x + y + (1/2)(x + y) = 900

2.5x + 4y + (5.5)(1/2)(x + y) = 3825

Plot the graph. We will get x = 150 and y = 450.

Then -

z = (1/2)(150 + 450) = (1/2)(600) = 300

Therefore, there were total 150 childrens, 450 students and 300 adults.

To solve more questions on equation modelling, visit the link below-

brainly.com/question/6593383

#SPJ2

45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?

It lagged earlier when I first asked

Answers

Answer:

9 girls did not make the team

Step-by-step explanation:

20*45=900

900/100=9

Answer:

9 girls didn't make the team

Step-by-step explanation:

The person above did it a great way, and that is the way I use it, but if you want a method that involves fractions here it is: 20% is the same as 1/5. Since there are 45 girls total, we need to find 1/5 of 45 and you can achieve that by multiplying 45 by 1/5 and you get 45/5 which is 9. Hope this helped :) .

what is 2.23607 as a fraction

Answers

Answer:

559/250

Step-by-step explanation:

Answer:

223607/100000

Step-by-step explanation:

I'm not sure if this is what you wanted, but 2.23607 is 223607/100000 as a fraction because the decimal is in the 100,000th place. It can't be simplified any more, but if you were to round it would be 559/250. Hope this helps you!

Help pls I’m in trouble I need this

Answers

Answer:

We conclude that:

g(-3) = 3.5

Step-by-step explanation:

Some background Concepts:

From the graph, it is clear that at x = -10, the graph intersects the x-axis.

So, the x-intercept of the graph is (-10, 0).

It means g(-10) = 0

From the graph, it is clear that at y = 5, the graph intersects the y-axis.

So, the y-intercept of the graph is (0, 5).

It means g(0) = 5

Determining g(-3):

From the graph, it is clear that at x = -3, the value of the function output = 3.5.

In other words,

at x = -3, g(-3) = 3.5

Therefore, we conclude that:

g(-3) = 3.5

Find the midpoint of A and B where A has coordinates (-7, 1)
and B has coordinates (3,-5).

Answers

Answer:

A (-7, 1) = (X1, Y1)

B (3, -5) = (X1, Y2)

Now,

Mid point = (X1 + X2÷2, Y1 + Y2 ÷ 2)

= {-7+3÷2, 1+(-5)÷2}

= (-4÷2, 1-5÷2)

= (-4÷2, -4÷2)

= (-2, -2)

Step-by-step explanation:

I hope it will help you to study.

how do you calculate the profit​

Answers

total revenue subtracted by total expenses which would equal to ur profit

will mark brainliest

Answers

Answer:

photos is not

Step-by-step explanation:

clearly posted

Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3 per gigabyte. She wants to keep her bill at $57.20 per month. How many gigabytes of data can she use while staying within her budget?

Answers

She can use 2 gigabytes

Answer: she can use 3.4  gigabytes

Step-by-step explanation:

 

yes

Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price. The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon?

Answers

Answer:

I wish I could help

Step-by-step explanation:

Which property of equality would you use -to solve the equation math8n=16

Answers

Answer:

im not sure but i do know that the letter n would be 2

Step-by-step explanation:

Help ASAP Simplify 2^4.

8
16
32
24

Answers

The answer is A. Eight
If the question is 2 to the 4th powers then the answers is 16

slope of the lines (-4,-1) and (-5,2)

Answers

the slope is 3/-1= -3
Hope it helps!:):):) please give me the brainliest

The triangles shown below must be congruent. A. True or B. False

Answers

A.true
Because congruent angles are exactly the same measure

Answer/Step-by-step explanation:

False these shapes are similar but not congruent.

All the angles are similar making the shape similar. However, the side length of Side B is equal to the length of Side A. When side A should have been equal to the length of the Side A on the other triangle.

The hotel downtown is 8 feet taller than the bank. The hotel is 43 feet tall.
How tall is the bank?

Answers

Answer:

35 bfhdhsbzbzbbxbxbx

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