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

pls help quickly maath

Answers

It is A
Because it says squares to the circles
So you count the squares first then the circles
So it is 3/6 .

Answer:

It should be A

Step-by-step explanation:

Since it is asking for the squares to circles, it is not option c. B is also incorrect because the ratio is not correct, which leaves the only answer to be A.

Select the correct answer. What is the value of x in 2 (5x) = 14

Answers

Answer:

x= 7/5

Step-by-step explanation:

Use Cymath.com for math because it shows its work, and so you don't have to waste points! ^^

Answer:

x = 1.4

Step-by-step explanation:

2 (5x) = 14

10x = 14

x = 14 ÷ 10

x = 1.4

Checking...

10 (1.4) = 14

14 = 14

3. FIELD TRIP There is space for 120
students to go on a field trip. Currently
,
74 students have signed up. Write and
solve an inequality to find how many
more students can sign up for the
field trip.
i need help plz

Answers

well if

120-74=46

then 46 is the correct answer.

74+46=                    120

46 more students can sign up for the field trip.

Answer:

74 + (x) = 120

Step-by-step explanation:

subtract 74 from 120

120 - 74 = 46

Estimate a 15% tip on a dinner bill of $83.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

the tip amount is $12

Step-by-step explanation:

The computation of the tip amount is shown below:

But before that rounded the dinner bill to the nearest ten dollars i.e. $80

Now the tip amount is

= Dinner bill × tip percentage

= $80 × 15%

= $12

Hence, the tip amount is $12

The difference between 30 and a number is 4.

Answers

Answer:

26

Step-by-step explanation:

30-4=26

thirty minus four equal 26

30-4=26 the difference is 26

A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet

above the ground after 1.5 seconds.

If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find

the height of the rock above the ground t seconds after it is thrown?

Answers

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The function d =
45t gives the distance d Juan traveled in miles after t hours.

is this discrete or continuous data?

Answers

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

B. Subtract the following integers
16.9 - (-5) =
17. - 12 - ( + 8) =
18. 15 - 9=
19. - 5 - (-8)=
20. - 11 - ( + 14 ) =​

Answers

Answer:

16. 9 - (-5) = 21.9

17. -12 - ( + 8) = -4

18. 15 - 9 = 6

19. -5 - (-8)= 3

20. -11 - ( + 14 ) =​ -25

Step-by-step explanation:

Subtracting a negative from another number is the same as adding the number.  Thus, 16.9 - (-5) = 16.9 + 5.

Hope it helps <3 :)

Answer:

16.9-(-5)=21.9

17.-12-(+8)= -3

18.15-9=9.15

19.-5-(-8)=22

20.-11-(+14)=-5

18 more than the product of k and 5 Evaluate the expression for the value of the variable, k : 7 Please type your answer in the box below. NUMBERS ONLY!

Answers

Answer:

The Answer Is 125.

Step-by-step explanation:

As, 18 More Than K Means

18 More Than 7

So, It's 25

Then Evaluate 25 With 5

It's 25(5)

Or 25 × 5

It's 125.

3/4 + 3/5 how do you solve it

Answers

Answer:

3/4 + 3/5 = 1 7/20

Step-by-step explanation:

5 x 4 = 20

3/4 = 15/20

3/5 = 12/20

15/20 + 12/20 = 27/20 = 1 7/20

Answer: 1 7/20 (one and seven-twentieths)

Step-by-step explanation:

1) 3/4 = 15/20 and 3/5 = 12/20

2) 15/20 + 12/20 = 27/20

3) 27/20 = 1 7/20

Good Luck!

24 - 3x Evaluate each expression if x = 5

Answers

Answer:

9

Step-by-step explanation:

24 - 3(5)

24 - 15

9

good luck, i hope this helps :)

Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93

Answers

Answer:

Step-by-step explanation:

need help answering this question

Answers

I believe it is the 3rd one

Please help me
What type of association does the graph show between x and y?

Answers

Answer:

Linear positive association

Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?

Answers

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!

Answers

Answer:   it is 1.25

hope i helped

Answer:

1.25

Step-by-step explanation:

yeah

Joshua wants to buy sport shoe cost P435.30 if he saved from his allowance a total of P289.75 how much does he still need to buy the shoe​

Answers

Hahaha dkwldbdbwnwnje. When he e he he eje her enej ever rbej e the e eje eje where Enid Reuben eje be eje. Eje eve

Answer:

P 145.55

Step-by-step explanation:

435.30 - 289.75 = 145 .55

A distribution is given as X ~ U(0, 12). Find P(x > 6). (Enter an exact number as an integer, fraction, or decimal.)

Answers

Answer:

Step-by-step explanation:

The value of P(x>6) is 1/5.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that A distribution is given as X ~ U(0, 12).

We need to find the value of  P(x > 6)

The probability density function of the uniform distribution is defined as:

f(x)=1/b-a, a<x<b

a=0 and b=12

f(x)=1/12 , 0<x<12

The required probability is P(x>6)

Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]

P(x>6)=(12/12-6/12)

=1-1/2

=1/2=0.5

Hence, the value of P(x>6) is 1/5.

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https://brainly.com/question/29093686

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If a guy named josh got 45 bucks for his b-day and already had 237 bucks. How much money does josh have all together.


Will give brainly!!!!!!

Answers

Answer:

That’s easy it is 282

Step-by-step explanation:

He will now have 282 bucks altogether.

Step-by-step explanation:

We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.

Help please with this
Look at picture
Complementary angles

Answers

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

R
135
Р
S
Given isosceles trapezoid PQRS.
what are the measures of angles P. Q, S?

Answers

Answer:

huushshsusjvevshshd

Step-by-step explanation:

q=135 s and p= 45

Help me people u r my only hope!
Choose all of the values that are equivalent to -(1/3)
A. -1/3.
B. 1/-3
C. -1/-3
D. 1/3
E. -(-1/3)

Answers

Answer:

D)1/3 ?

Step-by-step explanation:

Maybe 1/3

Do some research, I guess it's D).

I hope that helps (:

1. The entire fraction is negative if the numerator or denominator are negative.

if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)

2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE

3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -

hi can you please help me with my work​

Answers

Answer:

The answer is 3 1/2 inches!

Step-by-step explanation:

give an example of two or more like terms​

Answers

Answer:

2x + 3x

3x + 10x

Step-by-step explanation:

like Terms are individual terms that have the same variable in them

What are all of the factors for 12 and 30? If you answer thank you for helping, I really appreciate it.

Answers

Answer:

12

2,3,4,6

30

12,3,5,6,10,15

The ratio of toy cars to toy airplanes in Drew's collection is 5:2. Which statements are true? Select all that apply.​

Answers

Answer:

e for sure i dont know if any of the other is true

What is answer for (11x-32)=45

Answers

Answer: x=7

Step-by-step explanation:


(11x-32)=45

We move all terms to the left:

(11x-32)-(45)=0

We get rid of parentheses

11x-32-45=0

We add all the numbers together, and all the variables

11x-77=0

We move all terms containing x to the left, all other terms to the right

11x=77

x=77/11

x=7

I have a quick question please someone answer Is 5/8 irrational?

Answers

Answer:

no

Step-by-step explanation:

5/8=0.6250 so its rational

Answer: no

Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.

the coefficient of x in the expression of(x+3) (x-1) is​

Answers

Answer:

i think 4

Step-by-step explanation:

[tex]x^{2} +4x-3[/tex]

A full-time employee who works 40 hours per week earns $27.50 per hour. Estimate that person's income. Round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. what is the estimated of annual income?

Answers

fifty five thousand 55,000

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