Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2

miles. Show that at least twice he had to be running at a rate of 11 miles per hour.

Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.

Calculus AB AP

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Time taken = 2 hours 18 minutes

18 / 60 = 0.3 hours

Hence, time taken = 2.3 hours

Speed = distance / time

Speed = 26.2 / 11.3 = 11.39 mi/hr

Hence, according to the mean value theorem ;

The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39

Since initial and final velocity is 0 ;

The runner attains a speed of 11 mi/hr between :

(0, 2.3) and (t, 2.3)

Answer 2

Mr. O. ran the Disney Marathon the AB AP is  (0, 2.3) and (t, 2.3).

Given Data: Time taken = 2 hours 18 minutes

        Time taken =18 / 60

        Time taken = 0.3 hours

Hence,

time taken = 2.3 hours

 Speed = distance / time

          Speed = 26.2 / 11.3

          Speed = 11.39 mi/hr

According to the mean value theorem ;

The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39 Since initial and final velocity is 0 ;

The runner attains a speed of 11 mi/hr between : (0, 2.3) and (t, 2.3)

Thus, the AB and AP is (0, 2.3) and (t, 2.3)

Learn more :

https://brainly.com/question/10410395?referrer=searchResults


Related Questions

What is the domain of the function represented by the graph?

Answers

Answer:

It's either A or D.......

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2

Answers

Answer:

A. -⁹/2

Step-by-step explanation:

Using any two pairs of values form the table, say (-12, 60) and (-6, 33),

Rate of change = ∆y/∆x

= (33 - 60) / (-6 -(-12))

= -27/6

= -9/2

Rate of change = -⁹/2

The rate of change of y with respect to x is -9/2

Option A is correct

For a linear relationship, the rate of change of y with respect to x is given by the formula:

[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

From the table:

[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]

Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]

Reduce the expression to the lowest term by dividing the numerator and denominator by 4

[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]

The rate of change of y with respect to x is -9/2

Learn more on rate of change here: https://brainly.com/question/8728504

what is equifenlnt to 35000 cm in kelomiters

Answers

Answer:

.35 kilometers

Step-by-step explanation:

Answer:

.35 kilometers

Step-by-step explanation:

Pamela's age is two times Jiri's age. The sum of their ages is 42. What is Jiri's age?

Answers

Answer: jiri is 14

Step-by-step explanation:

14x2 = 28

28+14=42

Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question response area Select one option $530 $1560 $2000 $2060 $2530

Answers

Answer:

$2000

Step-by-step explanation:

Given data

We are given that the price of the super PC is $2000

Since they are buying only one of the super PC they will have to pay

$2000

Hence option C is the correct answer

What is the value expression of [32 × (2.4 ÷ 4)] + 1.7

Answers

20.9--------------------------------------

Step-by-step explanation:

[32 × (2.4÷4)] + 1.7[32 × 0.6] + 1.719.2 + 1.720.9---------------------------------------FOLLOW ME

Answer: 39.1

Step-by-step explanation:

find the inequality represented by the graph pleasseee help me​

Answers

Answer:

y≥1/2x is the answer for this problem

HELPPPPP ME PLEASEEEE

Answers

Answer:

4x-8 = 4x+12

Step-by-step explanation:

you multiply everything in the parentheses by what is outside of it

4(x-2)                     = 2(2x+6)

4(x)=4x & 4(-2)=-8    2(2x)=4x & 2(6)=12 then write the numbers as an equation:

4x-8 = 4x+12

Solve the following linear equations: p - 8 =3p

Answers

Answer:

P=4

it's a right answer

Answer:

p = -4

Step-by-step explanation:

p - 8 = 3p

-2p - 8 = 0

-2p = 8

p = -4

A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices

an ordered pair

graph

table

rate of change

Answers

Answer:

rate of change

Step-by-step explanation:

The rate of change (ROC) is the speed at which a variable changes over a specific period of time.

The perimeter and area of a wall have the same value. If the base of the wall is 7 meters long, what is the height of the wall? ​

Answers

Answer:

I don't know

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

Which of the following accurately describes either the purpose or benefit, if any, of implementing controls in the design of an experiment? Check all that apply.
Group of answer choices

A. By controlling variables, the differences observed in the response variable can be attributed to the treatment and not some other factor.

B. There is no benefit of control in the experiment.

C. By controlling variables that may influence the response variable, we eliminate variability in the response variable.

D. By controlling variables in the experiment, we eliminate the need to have a control group.

E. By controlling variables that may influence the response variable, we reduce variability in the response variable.

Answers

Answer:

B D OR 2 4

Step-by-step explanation:

The purpose or the benefit for implementing the control in the design of the experiment should be option B and option D.

What is the control in experimental design?

At the time of conducting an experiment, the control refer to an elements where it should not be changed or not be impacted by the other variables.

It is used like the benchmark or the comparsion point where the other test result should be determined.

Moreover, there is no benefit and we remove the requirement of the control group.

Hence, the option b and option d is correct.

Learn more about experiment here; https://brainly.com/question/9882283

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

Answers

Answer:

D

Step-by-step explanation:

A bag contains 7 pears and 3 apples. If you select 2 pieces of fruit without looking, how many ways can you get 2 pears.

Answers

Answer:

There are 2 ways, since we'd chosen 2 fruits

PROBABILITY:

([tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]) or [tex]\frac{1}{10}[/tex]

METHOD:

In the 2 fruits we took both of them might be pears either maybe one of them can   be a pear. The same is possible with the other fruit.

PLEASE DO MARK MY ANSWER AS THE BRAINLIEST..

<HOPE IT HELPS>

what is the complement of 3/8?​

Answers

This is the answer.

For algebraic expression 2x4

– 5x3 + 4x. + 7, find (5)

a) Degree of polynomial

b) Number of terms

c) Constant term

d) Coefficient of x

e) Numerical coefficient of -5x3

.

Answers

Answer:

See explanations below

Step-by-step explanation:

Given the algebraic expression 2x4– 5x3 + 4x. + 7,

a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4

b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4

c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7

d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.

e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5

2y = x - 12, solve for X

Answers

2y = x - 12

2y+12 = x

x = 2y + 12
or

x = 2(y+6)

will give brainliest !!!

Answers

Answer:

B. E' ( -1, 1)

Step-by-step explanation:

5 to the left =

4 - 5

2 up =

-1 + 2

good luck, i hope this helps :)

a rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?​

Answers

Answer: Area of the rectangular park = 2/3 square mile

Let us assume the width of the rectangular park = x

Then

The length of the rectangular park = 2 2/3 * x mile

= 8x/3 mile

Then

Area of the rectangular park = Length * Width

2/3 = (8x/3) * x

2/3 = 8x^2/3

(2 * 3)/3 = 8x^2

2 = 8x^2

x^2 = 2/8

x^2 = 1/4

x^2 = (1/2)^2

x = 1/2

So the width of the park is 1/2 feet.

hope this helps have a nice day❤️

Step-by-step explanation:

solve the system of equations by using substitution
y=2x-2
2x+y=10​

Answers

2x+1(2x-2)=10
2x+2x-2=10
4x-2=10
+2 +2
4x=8
x=2
y=2(2)-2
Y=2

find the remainder when x³-2x²+4x-3 is devided by x-2​

Answers

Answer:

x²+4

Step-by-step explanation:

HELP ME PLSSS IM GIVING BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

Someone please help me with these. I forgot how to do these. Need within a hour

Answers

Answer:

just add them

Step-by-step explanation:

Binomial Theorem

The constant term in the expansions of
[tex](px^{3} + \frac{q}{x ^{3} } )^{8} [/tex]
and
[tex](p {x}^{2} + \frac{q}{ {x}^{2} } ) ^{4} [/tex]
are equal, and p and q are both greater than zero. Express p in terms of q.

Answers

Answer:

[tex]\frac{p^{4} x^{24}+6p^{2}q^{2}x^{12}+q^{4}+4p^{3}qx^{18}+4pq^{3}x^{6}}{x^{12} }[/tex]

Step-by-step explanation:

180% is equivalent to what decimal value

Answers

Answer:

The solution is 1,8

Step-by-step explanation:

[tex] \sf 180 \% \\ = \sf \frac{180}{100} \\ = \sf 1.8[/tex]


Solve. 3(x +4) = 36

Answers

3(x+4)=36

What you need to do is divide both sides of the equation by 3 in the first part

x+4=12

Now you move the constant towards the right side and change the sign

x=12-4

Subtract the numbers to find the answer

x=8, therefore to solve 3(x+4)=36 it will give you x=8 as your answer. Hope this helps ^^

how do you solve problems like 6.45/0.25

Answers

Answer:

25.8

Step-by-step explanation:

divide

Answer:

divide like i said

Step-by-step explanation:

If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
360

180

120

60

90

Answers

Answer:

180

Step-by-step explanation:

Answer:

The answer is 180

Step-by-step explanation:

To check the answer:

Since 60 is part of a half then 60 * 60 = 120

Now we have to find the other 60 remaining from 180 because 180-120 is 60.

1/2 of 180 is 90.

90-60 = 30

if one half is equal to 90 then the other half is equal to 90.

40 - 2x [(8 x 3 + 6) +
12 -2 pls answer correctly​

Answers

Answer:

40 is the answer . is it right or Not?

Answer:

-10

Step-by-step explanation:

40 - 2x [(8 x 3 + 6) + 12 -2

Using BODMAS meaning Bracket Of Division Multiplication Addition and Subtract

Solve Bracket first multiplying first inside the bracket then add your result

40 - 2x [(8 x 3 + 6) + 12 -2

40 - 2x [(24 + 6) + 12 -2

40 - 2x(30) + 12 -2

Multiple

40 - 60+12-2

-10

Find the area of each figure in square units​

Answers

I think it’s 25 square units
Other Questions
Need help asap please You are making identical bagel platters using40 plain bagels, 30 raisin bagels, and 24 blueberrybagels. What is the greatest number of plattersthat you can make if there are no leftover bagels? wat is the sum of 13.75 and -11.25 In AEFG, the measure of ZG=90, FG = 5.6 feet, and EF = 9.7 feet. Find the measure of ZE to the nearest tenth of a degree. can you help me on part D? dont use advanced math please PLEASE HELP ASAP!! I WILL MARK BRAINLIESTYou are designing a newmovie complex. There are14 movie theaters and 3 exitsper theater. The food area has9 exits. How many exits arethere altogether? HELP PLS PLEASSEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE Features, Advantages and disadvantages free market economy? What is a reasonable estimate for 2,590 divided by 15? Please explain. What is 75 equal to?A.785B.5 x 5 x 5 x 5 x 5 x 5 x 5O c.7 x 7 x 7 x 7 x7OD. 57 what makes Russia have an authoritarian government? What is the vertical asymptote? PLEASE HELP ASAP!!What set of transformations is performed on ABDC to form ABDC? A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin are these parallelograms why or why not 3Line m has a slope of4Line n is parallel to line m. What is the slope of line n?Simplify your answer and write it as a proper fraction, improper fraction, or integer. Exercise is good for the body, mind and soul. Write the text of a speech to be delivered at your school or college in which you persuade young people to do more exercise. Which sentence goes best with the picture?1) Jennifer is excited to go to the dance.2) Jennifer is excited to watch the football game. 3) Jennifer is excited to see the balloons.4) Jennifer is excited to be in the parade this year.Answer and I will give you brainiliest To qualify to compete in the doggie high jump finals dogs must jump a certain hight in the semi finals. Maple jumped 2 5/8 inches below the qualifying hight but her friend pink made it to 1 5/6 inches over the qualifying height how much higher was pinks jump compared to maples Elaborate the theme of the essay the londoner by charles lamb? a rectangle measuring 4m by 3m