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)

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Related Questions

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

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.

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

Answers

Answer:

x²+4

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.

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

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:

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

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

Answers

Answer:

D

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

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

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

Answers

Answer:

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

Find the area of each figure in square units​

Answers

I think it’s 25 square units

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

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


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 ^^

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

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

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:

2y = x - 12, solve for X

Answers

2y = x - 12

2y+12 = x

x = 2y + 12
or

x = 2(y+6)

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

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.

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]

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:

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

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:

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:

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 :)

what is equifenlnt to 35000 cm in kelomiters

Answers

Answer:

.35 kilometers

Step-by-step explanation:

Answer:

.35 kilometers

Step-by-step explanation:

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