A boy is twirling a model airplane on a string 4 feet long. If he twirls the plane at 0.5 revolutions per minute, how far does the plane travel in 4 minutes

Answers

Answer 1

Answer:

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Step-by-step explanation:

From Rotation Physics we know that angular speed is the number of revolutions done by a particle at a given time. If the boy is twirling a model airplane at constant speed, then we calculate such variable as follows:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]\dot n[/tex] - Angular speed, measured in revolutions per minute.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions.

[tex]t[/tex] - Time, measured in minutes.

Now we clear the number of revolutions done by airplane within expression:

[tex]n = \dot n \cdot t[/tex]

If we know that [tex]\dot n = 0.5\,\frac{rev}{min}[/tex] and [tex]t = 4\,min[/tex], then we get that number of revolutions is:

[tex]n = \left(0.5\,\frac{rev}{min} \right)\cdot (4\,min)[/tex]

[tex]n = 2\,rev[/tex]

The airplane made two revolutions in four minutes.

Now, the distance covered by the airplane ([tex]s[/tex]), measured in feet, is calculated by means of the equation below:

[tex]s = 2\pi\cdot l\cdot n[/tex]

Where:

[tex]l[/tex] - Length of the string, measured in meters.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions (dimensionless).

If we get that [tex]n = 2\,rev[/tex] and [tex]l = 4\,ft[/tex], then the distance covered by the airplane in 4 minutes is:

[tex]s = 2\pi\cdot (4\,ft)\cdot (2\,rev)[/tex]

[tex]s \approx 50.265\,ft[/tex]

Airplane covers a distance of approximately 50.265 feet in 4 minutes.


Related Questions

Heyyyy you can you help me plsssz

Answers

The answer is Is A because corresponding angles are equal

Research suggests that red kangaroos have an average height of 63 in with a standard deviation of 4 in. What is the probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches.

Answers

Answer:

0.040

Step-by-step explanation:

We solve using z score

z = (x-μ)/σ,

where x is the raw score = 70 in

μ is the population mean = 63 in

σ is the population standard deviation = 4 in

z = 70 - 63 /4

z = 7/4

= 1.75

Probability value from Z-Table:

P(x<70) = 0.95994

P(x>70) = 1 - P(x<70)

= 0.040059

The probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches

is 0.040

Which credit myths did you believe prior to hearing this lesson? Explain why each of those are myths and not facts

Answers

Answer:

Can I see some more of the lessson?

Step-by-step explanation:

john has measured some distance on the map. atlanta and kingston are 2.5 cm apart, and kingston and ringgold are 3.5 cm apart. if the actual distance from atlanta to kingston is 60 miles, what is the actual distance from kingston to ringgold?


A: 78 Miles
B: 84 Miles
C: 92 Miles
D: 106 Miles

Answers

Answer:

C: 92 miles

Step-by-step explanation:

Took test

Answer:

C the correct answer

Step-by-step explanation:

took the test

to remember juice wrld 999 forever

Answers

Yeahhhhhhhh Rest In Peace

Answer:

999 LUV

Step-by-step explanation:

LND LLJW999

Robert spends $30.45 before tax at the book store. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?

Answers

The total cost of his purchase is $32.66


Turn 7.25% into a decimal which is 0.0725
Multiply 30.45 and 0.0725 which equals 2.21
Add 2.21 and 30.45 which equals 32.66

The total cost of Robert's purchase is $32.657625.

Given that, Robert spends $30.45 before tax at the book store and the sales tax rate in his city is 7.25%.

We need to find the total cost of his purchase.

What is the sales tax?

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

The total cost = 30.45+7.25% of 30.45

=30.45 + 0.0725 × 30.45

=30.45 + 2.207625

=32.657625

Therefore, the total cost of Robert's purchase is $32.657625.

To learn more about sales tax visit:

https://brainly.com/question/27092799.

#SPJ2

plz help and give me the real answer not just some random one and dont just say sorrry i dont know . just put the real answer if you dont know pls dont answer just skipp ir. im tired of people just wanting 5 point likes its just five and its not important....

Answers

Answer:

can we date plz don't my number 21976198649

How did you do this question?

Answers

Answer:

R = ∞

I = (-∞, ∞)

Step-by-step explanation:

Use the ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│

lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] / [xⁿ⁺⁵ / (2n!]│

lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] × (2n! / xⁿ⁺⁵)│

lim(n→∞)│x 2n! / (2(n+1)!)│

lim(n→∞)│n! / (n+1)!││x│

lim(n→∞) (1 / (n+1))│x│

0

The series converges if the limit is less than 1.

The limit is always less than 1, so the radius of convergence is infinite.

So the interval of convergence is (-∞, ∞).

from 5 miles to 16 miles. round to the nearest whole percent?

Answers

Answer: It’s 11 since it’s from 5 to 16, hope this helped!!

Answer:

220%

Step-by-step explanation:

you have to subtract 16 to 5 wich gives u 11 then u put that over five and divide and then u get 2.222222 repeating so it is 2.2 then you move the decimal to the left which gives you 220% hope this helps

Which of the following is not a property of zero? A.Zero is neither positive nor negative.
B. If you add zero to a number, the answer will be that same number.
C. If you multiply any number by zero, the answer will be zero
D. if you divide any number by zero, the answer will be zero​

Answers

Answer:

D

Step-by-step explanation:

you can't divide by zero

3x^0 for x=2.6


3x to the power of 0. for x is 26

uurgent HELPP

Answers

Answer:

3

Step-by-step explanation:

Any definite number (except zero) to the power one is one

So

3x^0

3 • 1

3

kx =v+w, for x
answer fast!

Answers

Answer:

x=v+w/k

Step-by-step explanation:

Answer:

x = [tex]\frac{v+w}{k}[/tex]

Step-by-step explanation:

minimum or maximum value of f(x)=−0.5x2+2x−5.

Answers

In the equation assign each number a letter:

A = -0.5, b = 2 and c = -5

Maximum = -b/2a = -2/2(-0.5) = 2

Minimum = replace x in the equation with the maximum and solve for y:

-0.5(2)^2 +2(2) -5 = -3

Maximum and minimum = (2,-3)

PLZ HELP ASAP PLZ I WILL MARK YOU THE BRAINLYIST

Answers

3,666


explanation:Use a calculator and round

Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]

Answers

Total price = $266.63 + $317.29+62.78=646.7  

Discount = 15%  

Discount amount = (15/100) x 646.7  

=$97.005  

Price after discount = $646.7 - $97.005  

=$549.695  

Sales tax = 6%  

Sales tax amount =(6/100) x $549.695  

=$32.9817

Total cost = Price after discount + sales tax amount

 =$549.695 + $32.9817

 =$582.6767  

=$$582.68

Savings account A contains $80. Lance will bein depositing money into this account at a rate of $3.50 per week.
Savings account B contains $95. Lara will begin depositing money into this account at a rate of $3.25 per week.
After how many weeks will both accounts contain the same amount of money?
O 290 weeks
15 weeks
0 3.75 weeks
O 60 weeks

Answers

Answer:

78

Step-by-step explanation:

dont use this

Suppose the area of square A is 15 cm² and the area of square C is 42 cm².

What is the area of square B if the three squares create a right triangle?

Answers

Answer:

57cm2

Step-by-step explanation:

42cm cube time 15cm cube

Answer:

57cm2

Step-by-step explanation:

Find the value of the missing number.

Answers

Answer:

y= 9

x= 10

Explanation:

I don't really know if this is correct-

X=45
Y=5

Remember all triangles equal 180 degrees

Si se traslada con figura con lados paralelos,¿se mantienen así en la figura trasladada? Y si son perpendiculares

Answers

Answer:

sí, permanece así, todo lo que hace es mover las formas, no cambia la distancia entre sí ni la forma o tamaño de las mismas

Step-by-step explanation:

Espero que esto ayude :)

Nissa is going to plant 485485485 trees this year.
If Nissa plants 555 orchards of trees, how many trees will be in each orchard?
(Assume each orchard has the same number of trees.)

Answers

Answer:

97

Step-by-step explanation:

You would need to divide 485/5 to find how many trees in each orchard

485/5 = 97

Is √49 rational numher

Answers

Answer:

Yes

Step-by-step explanation:

Because 7x 7=49

Or 49 divided by 7 is 7

Answer:

yes

Step-by-step explanation:

b/c the sq root of 49 is 7

g Researchers are interested in learning about the age of women when they marry for the first time so they survey 500 married or divorced women and ask them how old they were when they first married. The collection of the ages of the 500 women when they first married is a

Answers

Complete question is;

Researchers are interested in learning more about the age of women when they marry for the first time so

they survey 500 married or divorced women and ask them how old they were when they first married. The

collection of the ages of the 500 women when they first married is a .............

A) Parameter B) Population C) Sample D) Statistic

Answer:

Option C: Sample

Step-by-step explanation:

We are told that a survey of 500 married or divorced women was carried out and they were asked how old they were when they first married.

Now, this survey represents a portion of the population. And a portion of the population surveyed is known as a Sample.

Thus, the correct answer is Option C

Please help. only give brainliest to right answer

Answers

Answer:

We will find the value of each of the option to see which one is different

a) The opposite of 8

the opposite of 8 is -8

b) The distance between 5 and -3

distance is a scalar value and can NEVER be negative

So, distance = 8

c) The absolute value of 8

the absolute value of 8 is the modulus of 8

|8| = 8

d) The opposite of -8

the opposite of -8 is 8

From the above, we can see that the second, third and fourth options are equal except the first option

I will give you brainy if you answer!!

Answers

Answer:

im here lol can I have it?

andom variable X has CDF given as follows. Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.

Answers

Complete Question

Random variable X has CDF given as follows

        [tex]F(x)_x = \left \{ {{{{{{{ 0 \ \ \ \ \ \ \ \ \ \ x < 0} \atop {\frac{8}{33}} \ \ \ \ \ \ 0 \le x \le 1} \atop{ \frac{5}{11} }\ \ \ \ \ 1 \le x \le 2 } \atop {\frac{7}{11} } \ \ \ \ \ \ 2 \le x \le 3} \atop{ \frac{26}{33} }\ \ \ \ \ 3 \le x \le 4 }\atop {\frac{10}{11} } \ \ \ \ \ \ 4 \le x \le 5} \atop{ 1}\ \ \ \ \ \ \ \ 5 \le x } \right.[/tex]

Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.  

Answer:

Generally the PMF is

      X               0        1       2      3         4       5  

    P(X = x)      [tex]\frac{8}{33}[/tex]        [tex]\frac{7}{33}[/tex]      [tex]\frac{2}{11}[/tex]     [tex]\frac{5}{33}[/tex]        [tex]\frac{4}{33}[/tex]     [tex]\frac{1}{11}[/tex]

Generally to prove the validity of the PMF we add the probabilities , if it is equal to  1 then the PMF is valid otherwise , the PMF is not valid

So

      [tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]

      [tex]\sum P(X = x) =1[/tex]

Hence the PMF is valid

Step-by-step explanation:

Generally the probability of  X = 0  is evaluated as

       [tex]P(0) = F(0) \ \ (for \ x \le 0) - F(0) \ ( for \ x < 0)[/tex]

=>    [tex]P(0) = \frac{8}{33} - 0[/tex]

=>    [tex]P(0) = \frac{8}{33}[/tex]

Generally the probability of  X = 1  is evaluated as

       [tex]P(1) = F(1) \ \ (for \ 1 \le 0) - F(1) \ ( for \ x < 1)[/tex]

=>    [tex]P(1) = \frac{5}{11} - \frac{8}{33}[/tex]

=>    [tex]P(1) = \frac{7}{33}[/tex]

Generally the probability of  X = 2  is evaluated as

       [tex]P(2) = F(2) \ \ (for \ 2 \le x ) - F(2) \ ( for \ x < 2)[/tex]

=>    [tex]P(2) = \frac{7}{11} - \frac{5}{11}[/tex]

=>    [tex]P(2) = \frac{2}{11}[/tex]

Generally the probability of  X = 3  is evaluated as

       [tex]P(3) = F(3) \ \ (for \ 3 \le x ) - F(3) \ ( for \ x < 3)[/tex]

=>    [tex]P(3) = \frac{26}{33} - \frac{7}{11}[/tex]

=>    [tex]P(3) = \frac{5}{33}[/tex]

Generally the probability of  X = 4  is evaluated as

       [tex]P(4) = F(4) \ \ (for \ 4 \le x ) - F(4) \ ( for \ x < 4)[/tex]

=>    [tex]P(4) = \frac{10}{11} - \frac{26}{33}[/tex]

=>    [tex]P(4) = \frac{4}{33}[/tex]

Generally the probability of  X = 5  is evaluated as

       [tex]P(5) = F(5) \ \ (for \ 5 \le x ) - F(5) \ ( for \ x < 5)[/tex]

=>    [tex]P(5) = 1- \frac{10}{11}[/tex]

=>    [tex]P(5) = \frac{1}{11}[/tex]

Generally the PMF is

      X               0        1       2      3         4       5  

    P(X = x)      [tex]\frac{8}{33}[/tex]        [tex]\frac{7}{33}[/tex]      [tex]\frac{2}{11}[/tex]     [tex]\frac{5}{33}[/tex]        [tex]\frac{4}{33}[/tex]     [tex]\frac{1}{11}[/tex]

Generally to prove the validity of the PMF we add the probabilities , if it is equal to  1 then the PMF is valid otherwise , the PMF is not valid

So

      [tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]

      [tex]\sum P(X = x) =1[/tex]

Hence the PMF is valid

Suppose Amanda LaCount is scheduled to dance 21 times in one month. If the ratio of dances completed to dances remaining is 3:4, how many dances has Amanda already performed?

Answers

Answer:

9

Step-by-step explanation:

if you add up the amount of dances she has to do, it equals 7. then you divide 21 by 7, which equals 3. then, you have to find the amount of dances she has already done, which would be 3 × 3 which equals 9.

0.54478x52.11055.6= i need the sum

Answers

Answer: the correct answer is 28.32272269768

Baby shark uwu

Do do do do do do do 28.388?

100 centimeters equals 1 meter. Convert 165 centimeters to meters

Answers

Answer:

1.65 Meters

Step-by-step explanation:

Since 100 CM equals 1 Meter,

165 CM equals 1.65 Meters.

Hope this helps! <3

Answer:

1.65 meters

Step-by-step explanation:

100 cm = 1 m

165 cm = 1.65 m

Sorry that i can't explain more, i hope this helps though!

What does each small square in the model represent?

Answers

Answer:

Each small square represents 0.1 units.

Step-by-step explanation:

Answer:

It should equal 0.1 unit units each.

sorry if wrong.

The contractor in charge of organizing your pool complex project has informed you that he has found two landscape companies willing to do the work. The 1st company says they can get the entire job done in 72 hours. The 2nd company says they can get the job done in 24 hours. You've decided that it would be best if both companies worked together to get the job done quicker! How many hours would it take to complete the landscaping job if the two companies worked together?

Answers

Answer:

18 hours

Step-by-step explanation:

Time taken to complete the job by 1st company = [tex]72\ \text{hours}[/tex]

Time taken to complete the job by 2nd company = [tex]24\ \text{hours}[/tex]

The job completed in 1 hour by 1st company = [tex]\dfrac{1}{72}\ \text{job}[/tex]

The job completed in 1 hour by 2nd company = [tex]\dfrac{1}{24}\ \text{job}[/tex]

The amount of job completed in 1 hour if they both work together[tex]1\ \text{hour}=\dfrac{1}{72}+\dfrac{1}{24}=\dfrac{1}{18}\ \text{job}\\\Rightarrow 1\ \text{job}=\dfrac{18}{1}\ \text{hours}=18\ \text{hours}[/tex]

So, if both companies work together it will take 18 hours to finish the job.

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