A plane begins its takeoff at 2:00 P.M. on a 2200-mile flight. After 12.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.A) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 303 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 303 mi/hr and decelerating from 303 mi/hr.B) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 152 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 152 mi/hr and decelerating from 152 mi/hr.C) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 88 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 88 mi/hr and decelerating from 88 mi/hr.D) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 117 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 117 mi/hr and decelerating from 117 mi/hr.E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.

Answers

Answer 1

Answer:

E) By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 176 mi/hr. The speed was 100 mi/hr when the plane was accelerating to 176 mi/hr and decelerating from 176 mi/hr.

Step-by-step explanation:

In this question we have the average velocity v = 2200/12.5

= 176miles/hr

The function Which describes the velocity of a plane is continuous. At point t, f(t) is equal to 176. So by the mean value theorem we arrive at a conclusion that the velocity is going to attain the speed of 100 miles per hour twice. The first time is during acceleration, and the second time is during deceleration. So by this, the answer to this question is option E.


Related Questions

(2.5 x 10^6) + (1.2 x 10^3)



whats the answer to this???

Answers

Hey

[tex]\text{there}[/tex]

[tex](2.5 \times {10}^{6}) + (1.2 \times{10}^{3}) [/tex]

[tex] {10}^{6}=1000000[/tex]

[tex](2.5\times1000000) + (1.2\times{10}^{3})[/tex]

[tex] {10}^{3} = 1000[/tex]

[tex](2.5 \times 1000000) + (1.2 + 1000)[/tex]

[tex](2.5\times1000000) = 2,500,000[/tex]

[tex](2,500,000) + (1.2 \times 1000)[/tex]

[tex](1.2\times1000)=1,200[/tex]

[tex](2,500,000)+(1,200)=2,501,200[/tex]

[tex] \boxed{ \boxed{ \bf{Answer: \boxed{ \boxed{ \bf{2,501,200}}}}}} \checkmark[/tex]

Good luck on your assignment and enjoy your day!

~

[tex] \dfrac{ \frak{LoveYourselfFirst}}{:)}[/tex]

The Equestrian club has 10 members. if the club wants to select a president, vice president, rodeo clown, and a secretary, how many ways can this be done?

Answers

Answer:

Many ways.

They can vote on it.

They can elect a council that will choose all the positions.

One person can just declare himself a position.

the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percentage change in its area.​

Answers

No change in area if sides of rectangle are equal.

Hope this helps.

PLEASE HELP I HAVE 8 min left

Answers

Answer:

I would help but I can't see the picture... sorry good luck

Step-by-step explanation:

Divide. Express your answer in simplest form.
8/9 ÷ 8

○7 1/9
○1/9
○8/72
○9​

Answers

Answer:

1/9

Step-by-step explanation:

8/9 ÷ 8/1

8/9 x 1/8 = 8/72

The GCF for 8 and 72 is 8

[tex]\frac{8}{72}[/tex]÷[tex]\frac{8}{8}[/tex]=[tex]\frac{1}{9}[/tex]

Answer: 1/9

see below for work ⤵

Cindy wants to buy new jeans. She already has $40 in her savings account. If she puts $2 a week in her savings account, she wants to know how many weeks she must save to have at least $80. Which inequality matches the situation?

Answers

Answer: 21 weeks. i counted it up

Step-by-step explanation: so its

algebra 2. pls help:(

Answers

the correct answer is C
The correct one is C because you want to add the imaginary numbers together to simplify the equation. 6i+5/2i=17/2i. Then you add that to your real number. 17/2i+2/3

What is the domain of the function for this situation?

Answers

Answer:

There is no problem. If you put the problem then i'll help

Step-by-step explanation:

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.

Answers

Answer: H0 : β1 = β2 = β3 = β4 = 0

Step-by-step explanation:

The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.

you want 75,000 in your savings account 12 years from now and you are prepared to make equal annaul deposits into the account at the end of the year. if the account pays 6.8 percent interest, what amount must you deposit each year

Answers

Answer:

Annual deposit= $3,474.39

Explanation:

Giving the following information:

You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39

plz mark brainly

Which linear function is represented by the graph?
O f(x) = -2x + 1
O f(x) = -1/2x + 1
O f(x) = 1/2x + 1
O f(x) = 2x + 1​

Answers

Answer:

The answer is B

Step-by-step explanation:

Calculate the present value PV of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time. 7 years, at 3% per year, compounded annually.

Answers

Answer:

PV= $813.09

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $1,000

Number of periods (n)= 7 years

Interest rate (i)= 3% compounded annually

To calculate the present value (PV), we need to use the following formula:

PV= FV/(1+i)^n

PV= 1,000 / (1.03^7)

PV= $813.09

does anyone like 4freakshow if so start a convo in comments 11-16 pleasee

Answers

Answer:

mhm

Step-by-step explanation:

Answer:

Bet

Step-by-step explanation:

Which expression is equivalent to 2(m − 5) + 6?

2m − 1
2m + 22
2m − 4
2m + 16

Answers

Answer:

2(m-5)+6
2m-10+6
2m-4

2m-4 is equivalent to 2(m-5)+6

Answer:

The answer is c

Step-by-step explanation:

The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?

Answers

Answer:

the answer would be 80 because it is divisible with all the numbers shown above

Please help asap
What is 3/5 simplified

Answers

Answer: Its already in its simple form

Step-by-step explanation:

uhh .6? or is it a different kind of question

help
Please!!!!!!!!
Will appreciate it :)

Answers

Answer:

-5(-6x² + x + 2)

Step-by-step explanation:

-5(-6x² + x + 2)

= (-5)(-6x²) + (-5)(x) + (-5)(2)

= 30x²-5x-10

7 apples cost $2.10. How many apples can I buy for $6.30

Answers

Answer:

21

Step-by-step explanation

If 7 apples are 2.10 then for 4.20 its 14 apples.   And 3 apples is 90 cents.  1 apple is 0.30.  So the amount you can buy is 21 because 6.30/0.3 is 21

Answer:

21

Explanation:

If 7 apples cost y cents, how many can you buy for x dollars?

As y cents buy 7 apples, y dollars will buy 7×100 apples.

Hence one dollar will buy 7×100y=700y apples and,

x dollars will buy 700y × x apples or 700x y apples.

Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.

Have a beautiful day! v(⌒o⌒)v♪


Solve 8x - 2(x + 1) = 7x + 8.

Answers

The answer is

X = -10

Apologies though, I am not good at explaining.

What is greater, 500 g or 0.5 kg?

Answers

5kg is greater than 500g

Answer:

they are equal

0.5kg is 500g

Carmen spent 88.00 at the mall the money she spent was 25% of the total amount she had in her wallet how much money did Carmen have in her money

Answers

Answer:

$352

Step-by-step explanation:

x = total money she had

spent 25% of x = 88

solve for x

x = 88/0.25

x = $352

Ratios
Express each ratio as a fraction in the simplest for
MI
1) 18 pounds to 22 pounds

Answers

Answer:

h

Step-by-step explanation:

eteujj

18 : 22
18/22

They’re both divisible by 2

18/22 divided by 2/2

(18/22) / (2/2)= 9/11


So, the ratio as a fraction is simplest form would be

9/11

2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?​

Answers

Answer:

220

Step-by-step explanation:

Kayla drives 144 miles in 3 hrs. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on an average?

Answers

Answer:

12 miles per hour more

Step-by-step explanation:

Answer:

Kendra drives 8 hours more on average.

Step-by-step explanation:

We divide 144/3 to get Kayla's mile to hour.

That is 48 miles.

We divide 224/4 to get Kendra's mile to hour.

That is 56 miles.

56 - 48 = 8.

hope this helped!

A pizzeria charges $4 per slice of pizza, plus an additional $0.50 per topping. If Erica has at most $13.50 to spend on her pizza, how many toppings could she get on ONE slice of pizza? Write an inequality expression that represents the situation and solve! Explain your reasoning​

Answers

Answer:

19 topings

t=(13.5-4)/.5

Step-by-step explanation:

13.5-4

=9.5

9.5/.5

=19

Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)


Here are a list of the properties-

Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation

Answers

Answer:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

Step-by-step explanation:

To justify the solution paths of linear equations.

[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)

Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.

Therefore, [tex]3x-6+5x=26[/tex]

Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.

Therefore, [tex]8x-6=26[/tex]

Here, we add 6 to both sides.

[tex]8x=32[/tex]

Now, divide the both sides with 8.

[tex]x=4[/tex]

Therefore, the answer is:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

1. (01.02)
Given that f(x) = 6x + 2 and g(x)
2x + 4/5
solve for g(f(1)). (5 points)
1
3
4
8

Answers

Answer:4

Step-by-step explanation:

f(1)=6(1)+2

=8

g(f(1))=2(8)+4/5

=20/5

=4

so i have this question that says I was at a grocery store and my total is 35.25 but I get to the register and find out it is 25% off. what would be my final total?

Answers

25% off of 35.25 would be $26.4375

Using reasoning, determine the number of marbles that you would expect to fit if you doubled the diameter

Original diameter was 8cm, could fit 40 marbles. New diameter is 16cm. How many marbles would I fit?

Answers

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

Malloy solved the equation -5x - 16 = 8 his work is shown below. Identify the error and where it was made

Answers

Answer:

in the above equation 35 x 6 = 210, a teacher who looks closely at the work might.

Step-by-step explanation

i have a deep feeling inside of me!

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