A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimeters per minute. And find the angular speed of the CD in radians per minute

Answers

Answer 1

9514 1404 393

Answer:

16,965 mm/min90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min


Related Questions

3- 22

Choose the expressions which are equivalent to the given expression

A. 3- (-22)
B. 3- (+22)
C. 3 + (-22)
D. 22 - 3
E. 22 + 3
F. -22-3
G. - 22 + 3
H. 22 +(-3)

Answers

Answer:

» B. 3- (+22) and C. 3 + (-22)

» A. 3- (-22) and E. 22 + 3

» D. 22 - 3 and H. 22 +(-3)

Step-by-step explanation:

[tex].[/tex]

Answer:

3 - (+22)

3 + (-22)

-22 + 3

Step-by-step explanation:


68 rounded to the nearest hundred

Answers

Answer:

100

Step-by-step explanation:

anything lower then 4 stays anythiing 5 or higher is rounded

so this also works with 40 50 400 500 4000 5000, you gte the point

oodluck on your test or homework! :)

Mark buys last year's best-selling novel, in hardcover, for $23.20. This is with a 20% discount from the original price. What was the original price of the novel?

Answers

Answer:

[tex]29[/tex]

Step-by-step explanation:

Let x be the original price.

( 1 - 20% ) x = 23.2

[tex] 0.8x = 23.2[/tex]

[tex] \frac{0.8x}{0.8} = \frac{23.2}{0.8} [/tex]

[tex] x = 29[/tex]

Which of the following collections of subsets of the plane, R2
, are partitions?
(a) {{(x; y) | x + y = c}| c  R}
(b) The set of all circles in R2
(c) The set of all circles in R2
centered at the origin together with the set {(0; 0)}
(d) {{(x; y)} | (x; y)  R

Answers

Answer: Choice A

[tex]\{(x,y) | \ \ x+y = c, \ c \in \mathbb{R}\}[/tex]

Explanation:

The notation for choice A basically says "we have a line of the form x+y = c where c is a real number". Then points on the line in the form (x,y) will form a particular partition. A partition is where we break a set up into non-overlapping subsets and there are no gaps. Think of it like breaking up a house into multiple rooms. Each room is a subset of the house. There are no gaps or overlaps (ignore the regions in the walls).

Take note that if a point is on a line like x+y = 5, then it cannot be on any other line of the form x+y = c, where c is not equal to 5. Something like (x,y) = (2,3) is on x+y = 5 and not on any other line. If c is allowed to be any real number, then x+y = c will be able to partition the real numbers.

Put another way, we can pick any real number we want (aka the number c) and break it down into a sum of x and y values. Such a sum cannot yield any other c value. So going back to the house/room analogy, any particular (x,y) ordered pair will belong to one and only one room.

Let's look at an example of a non-answer. Choice B is not correct because it is perfectly possible to have circles intersect. Intersecting circles share at least one common point. Those common points are what break the idea of partitions. This idea also means choice C is false as well.

Choice D can be ruled out because the notation should be (x,y) in R2 and not simply R.

The collections of subsets of the plane, R2 is (a) {{x,y) : x + y = c} : c ∈ R}

What is a subset ?

If X is a subset of Y then all the elements of A also contained in B.

According to the given statement we have o determine which of the following collections of subsets of the plane R2.

R2 defines a two dimension plane.

x+y = c where c is a real number.

Then points on the line in the form (x,y) will form a particular partition. A partition is where we break a set up into non-overlapping subsets and there are no gaps. Think of it like breaking up a house into multiple rooms. Each room is a subset of the house.

Take note that if a point is on a line like x+y = 7, then it cannot be on any other line of the form x+y = c, where c is not equal to 7. Something like (x,y) = (3,4) is on x+y = 7 and not on any other line.

B. Is not correct because it is perfectly possible to have circles intersect. Intersecting circles share at least one common point. Those common points are what break the idea of partitions.

C. is false as well

D. Is ruled out because the notation should be (x,y) in R2 and not simply R.

Learn more abouts subsets and planes here :

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Write 4 3/7 as a decimal.

Enter your answer as a decimal rounded to the nearest hundredth
Please help, and answer quickly please

Answers

Answer:

4.3

Step-by-step explanation:

Find the root(s) or zero(s) of the function.

Answers

Answer:

-1/2  ,  3

Step-by-step explanation:

In order to find the roots of the function 2x² - 5x - 3  

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

  = (-5)² - 4(2)(-3)

  = 25 + 24

  = 49

Then

√Δ = √49 = 7

Determining the Zeros :

[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]

or

[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]

Please help What's the volume of a cube with a side length of 9 cm? Question 19 options: 701 cm³ 729 cm³ 697 cm³ 752 cm³

Answers

729. Volume is length times width times height. So 9x9x9

Any recurring sequence of points above and below the trend line lasting less than one year can be attributed to the cyclical component of the time series.
a. True
b. False

Answers

True because I took this text before

Calculate the perimeter of a triangle with the following measurements: 200 mm, 40 cm and 400 dm Please HELP

Answers

Answer:

640 dm

Step-by-step explanation:

200+40+400=640dm

Find the value of x.

Answers

ANSWER: x=8

EXPLANATION: the sides are the same length, put x-1 equal to 7 and solve.

Johannesburg is is 3/5 as tall as his sister. Johannesburg is 90cm tall. How tall is his sister

Answers

Johannesburg's sister is 54cm tall

Explanation:

3/5 = 0.6

0.6 * 90 = 54

54 is 3/5 of 90, therefore Johannesburg's sister is 54cm tall

Reduce 6x /12x is it 1/2

Answers

Answer:

tero bau ko tauko got it sjdhhrurjrbr

Answer:

LHS=6x/12x=6/12=1/2

RHS=1/2

LHS=RHS

Please answer this question

Answers

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

[tex]\log{3x^3} - \log{x^2} = \log{3x}[/tex]

while the right hand side becomes

[tex]\log{27} - \log{x} = \log{\frac{27}{x}}[/tex]

so we end up with

[tex]3x^2 =27 \Rightarrow x = 3[/tex]

Hello i need help please

Answers

Option B is correct
i think the answer is option b on the graph

If 3,k,w,18 are in AP. Find the value of 3k + 4W

Answers

9514 1404 393

Answer:

  76

Step-by-step explanation:

For some common difference d, the terms of the progression are ...

  k = 3 +d

  w = k +d = 3 +2d

  18 = w +d = 3 +3d

Solving for d, we get ...

  15 = 3d . . . . subtract 3

  5 = d . . . . . . divide by 3

Now, we can find ...

  3k +4w = 3(3 +d) +4(3 +2d) = 9 +3d +12 +8d = 21 +11d

  3k +4w = 21 +11(5) . . . . substitute for d

  3k +4w = 76

(PLEASE EXPLAIN HOW YOU GOT THE ANSWER) Which inequalities are true? Select the four correct answers.
0 less-than StartRoot 8 EndRoot
StartRoot 8 EndRoot less-than 3
StartRoot 8 EndRoot greater-than StartRoot 7 EndRoot
StartRoot 8 EndRoot less-than 2
StartRoot 8 EndRoot greater-than 8
1 less-than StartRoot 8 EndRoot

Answers

9514 1404 393

Answer:

  T, T, F, F, T

Step-by-step explanation:

First of all, it is helpful to know ...

  √8 ≈ 2.8284

  √7 ≈ 2.6458

Now you can check the inequalities:

0 < √8 < 3 . . . . . . true√8 > √7 . . . . . . . . true√8 < 2 . . . . . false√8 > 8 . . . . . false1 < √8 . . . . . . . . . . true

0, 1, 2, and √7 are left of √8 on a number line, so are all less than √8.

3 and 8 are right of √8 on a number line, so are greater than √8.

Answer:

T, T, F, F, T.

Step-by-step explanation:

Person above is correct!!

Write the fraction 16/28 in simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

Find the inverse of g(x)=2x-3

Answers

Answer:

g^-1(x)=x/2+3/2

Step-by-step explanation:

38) The length of a rectangle is 15.6 cm correct to 1 decimal place.
The width of a rectangle is 3.8 cm correct to 1 decimal place.

Calculate the lower bound for the perimeter of the rectangle.

Answers

Answer:

38.75

Step-by-step explanation:

perimeter = 2(15.6+3.8) =38.8

lower bound = the smallest value that would round up to the estimated value =38.75

using 3 discs complete the puzzle. what is the smallest number of moves you can find

Answers

The minimum number of moves is 7

a number is multipilied by 6, and that the sum is equal to the product of 2 and 19. find the number

Answers

Answer:

[tex]take \: the \: number = x \\ thenx \times 6 = 2 \times 19 \\ \\ 6x = 38 \\ x = \frac{38}{6} \\ x = 6.33 \\ thank \: you[/tex]

It takes 60 pounds of seed to completely plant a 7-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

7/60 acres

Step-by-step explanation:

60 pounds of seed = 7 acres

We want to find acres per pound of seed, so we want to make one side of the equation equal to 1 pound of seed. To do this, we can divide both sides by 60, as anything divided by itself equals 1. We thus have

60/60 pounds of seed = 7/60 acres

1 pound of seed = 7/60 acres

b. ¿Qué fracción representa el total de sillas ocupadas durante los tres días?
vean la imagen estoy en examen pliss ayudAAAAAAAAAAA

Answers

No se losientoooooo también estoy en examennn

The fraction that represents the total number of seats occupied during the three days is 1.

The total number of seats in the auditorium is 200.

On day 1, 40% of the seats were occupied. So, 40/100 * 200 = 80 seats were occupied on day 1.

On day 2, 35% of the seats were occupied. So, 35/100 * 200 = 70 seats were occupied on day 2.

On day 3, 25% of the seats were occupied. So, 25/100 * 200 = 50 seats were occupied on day 3.

The total number of seats occupied during the three days is 80 + 70 + 50 = 200 seats.

The fraction that represents the total number of seats occupied during the three days is 200/200 = 1.

Here is the solution in mathematical form:

Let x be the fraction that represents the total number of seats occupied during the three days.

Then, x * 200 = 80 + 70 + 50

x = (80 + 70 + 50) / 200

x = 1

Therefore, the answer is 1.

To learn more about fraction here:

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You share Packet of 56 jelly beans with your sister in the ratio 4:3 how many jelly beans will you get?

Answers

5/8 of the total I did it

I'll get 32 jelly beans

Amount of jelly beans shared = 56

My fraction = 4/(4+3) = 4/7

My sister's fraction = 3/(4+3) = 3/7

The number of jelly beans that I'll get will then be:

= My fraction × Number of jelly beans

= 4/7 × 56

= 4 × 8

= 32

Therefore, I'll get 32 jelly beans

Read related link on:

https://brainly.com/question/24159535

<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5​

Answers

Step-by-step explanation:

since < 5 = < 8, so,

< 7 = < 6 = 29°

and < 5 = 90° - 29° = 61°

In a class of 80 students in Debre Berhan University, 45 are good in mathematics, 15 are good in both mathematics and English, 13 are good in both Mathematics and Psychology, 16 are good in both English and Psychology only,20 are good in Psychology and 9 are good in both of the three course,then how many students are good in mathematics?

Answers

Step-by-step explanation:

No of Student in Debre Berhan University - 80 students

No of student good in mathematics - 45 student's

No of students good in mathematics and English -15

No of students good in mathematics and psychology -13

No of students good in English and psychology -16

No of students good in psychology -20

no of student good in mathematics -45+15+13

-75

therefore no of student good in math is 75 .

pls mark me branilest


Kelly works two jobs. She usually works at a retail store for 5 hours during the day and is paid $7.18 per hour by the store. In the evening she works at a restaurant as a
manager for 7 hours and is paid $20.68 per hour. How much does she make on average per hour for the day?

Answers

Answer:

Think of two or three jobs with which you are familiar, perhaps a teacher, a retail worker, a nurse, or a police officer.

In each case, indicate why the employment contract is necessarily incomplete. What important parts of the person’s job—things that the employer would like to see the employee do or not do—cannot be covered in a contract, or if they are, cannot be enforced?

Step-by-step explanation:

Find the curl of ~V
~V
= sin(x) cos(y) tan(z) i + x^2y^2z^2 j + x^4y^4z^4 k

Answers

Given

[tex]\vec v = f(x,y,z)\,\vec\imath+g(x,y,z)\,\vec\jmath+h(x,y,z)\,\vec k \\\\ \vec v = \sin(x)\cos(y)\tan(z)\,\vec\imath + x^2y^2z^2\,\vec\jmath+x^4y^4z^4\,\vec k[/tex]

the curl of [tex]\vec v[/tex] is

[tex]\displaystyle \nabla\times\vec v = \left(\frac{\partial h}{\partial y}-\frac{\partial g}{\partial z}\right)\,\vec\imath - \left(\frac{\partial h}{\partial x}-\frac{\partial f}{\partial z}\right)\,\vec\jmath + \left(\frac{\partial g}{\partial x}-\frac{\partial f}{\partial y}\right)\,\vec k[/tex]

[tex]\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ - \left(4x^3y^4z^4-\sin(x)\cos(y)\sec^2(z)\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k[/tex]

[tex]\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ + \left(\sin(x)\cos(y)\sec^2(z)-4x^3y^4z^4\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k[/tex]

Find the perimeter of this figure.
14 m
12 m
18 m
6 m
[? ] = meters

Answers

Answer:

The perimeter of it is going to be 50

Step-by-step explanation:

This is because when finding the perimeter you add up all the sides so

14 + 12 + 18 + 6 = 50

Answer:

50 m

Step-by-step explanation:

Perimeter

= Sum of the length of all sides

= 14 m + 12 m + 6 m + 18 m

= 50 m

please help and show work pls!!!

Answers

9514 1404 393

Answer:

  a) see attached

  b) Each successive figure has one more tile at the end of each leg.

  c) 201, the number of tiles is 2n+1 for figure n.

Step-by-step explanation:

a) The attachment shows the next two figures

__

b) The pattern adds one more tile at the end of each leg than the previous figure had. This rule matches the figures shown.

__

c) The rule found in part B means that Figure N will have 2N+1 tiles, the N tiles in each leg plus the one where the legs meet.

Figure 100 will have 2(100) +1 = 201 tiles

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