A record is spinning at the rate of 37 rpm. If a ladybug is sitting 8 cm from the center of the record, find and exact answer for each of the following.
a) What is the angular velocity of the ladybug? (in radians/sec)
b) What is the speed of the ladybug? (in cm/sec) c) After 17 seconds, how far has the ladybug traveled? (in cm)​

Answers

Answer 1

The angular velocity of the ladybug is the same as the angular velocity of

the record.

Correct responses (approximate values):

a)  3.875 rad/s

b) 31 cm/s

c) 527 cm

Methods used for the calculations

The rate at which the record is spinning = 37 rpm

Location of the ladybug on the record = 8 cm from the center

a) The angular velocity of the ladybug is given as follows;

1 revolution = 2·π radians

1 minute = 60 seconds

Therefore;

[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]

The angular velocity of the ladybug, ω ≈ 3.875 rad/sec

b) Linear speed, v = Radius, r × Angular speed, ω

The radius with the ladybug rotates, r = 8 cm

Angular velocity of the ladybug = ω ≈ 3.875 rad/s

Therefore;

The speed of the ladybug, v = 8 cm × 3.875 rad/s ≈ 31 cm/s

c) Distance, d = Speed, v × Time, t

After 17 seconds, we have;

The distance travelled by the ladybug, d = 31 cm/s × 17 s = 527 cm

Learn more about angular velocity here:

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Related Questions

Selah has 1/5 of a cup of whipped cream to put on top of the ice cream sundaes, how many cups will each sundae have

Answers

Incomplete question :

Here the number of ice cream sundaes isnt Given ; however, we can assume that the number of ice-cream sundae is 5

Answer:

1 / 25

Step-by-step explanation:

Given that :

Total Amount of whipped cream = 1/5 of a cup

Number of ice cream sundae = 5

The amount of whipped cream eat ice cream sundae gets is :

Total Amount of whipped cream / number of ice cream sundaes

(1 /5) ÷ 5

(1 /5) * 1 /5

= 1/25

Hence, each ice cream sundae gets 1/25 of a cup of whipped cream.

Jasmine starts rock climbing at an elevation of -100 feet and rock climbs up to an elevation of 40 feet. What was Jasmine's change in elevation while rock climbing?
Create an equation to represent the situation. Use x to represent Jasmine's change in elevation while rock climbing.





What is the sales tax rate in Nevada?

Answers

Answer: -100 + x = 40

Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.

help 10 points plssssssssss

Answers

Answer:

B and D

Step-by-step explanation:

That is the correct equation to find out how much they pay in a month. After 4 miles, both shareride and drive you will cost $28

Mandy has a 10.2-ounce container of mustard. She uses 130 of the mustard to put on her hot dog each time. How many ounces of mustard are left after she has eaten 6 hot dogs?


Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

This is from a test isnt it? Is this the snapshot i had exactly this.......CHEATER O-o

8.16 ounces  of mustard are left after she has eaten 6 hot dogs.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Mandy has a 10.2-ounce container of mustard.

She uses 1/30 of the mustard to put on her hot dog each time.

By given,

Mandy has a 10.2-ounce container of mustard.

Now, 1/30 of the mustard to put on her hot dog each time to 6 hot dogs, so weight of mustard used is calculated as

1/30×6×10.2=2.04 ounces

So, Amount of Mustard left after eating 6 hot dogs is,

10.2-2.04=8.16 ounces

Therefore, the required amount of mustard left after eating 6 hot dogs is 8.16 ounce.

To learn more on Equation:

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Find the area of the parallelogram: b= 10 ft, h= 8 ft

Answers

Answer:

i dont think you have the full question here...

Answer:

40

Step-by-step explanation:

if you split it in half vertically and put the left on the right, it becomes a 5x8 rectangle.

Prove of each of the expressions bellow are equivalent by evaluating the expressions.
Given:g=3

Answers

Answer:

sove the equation and you'll get 20

Answer:

See below.

Step-by-step explanation:

To prove these expressions are equivalent, we need to set the two expressions equal to each other in an equation and substitute 3 for g.

15(3) - 2(2(3) + 6) = 11(3) - 12

15(3) - 2(6 + 6) = 11(3) - 12

15(3) - 2(12) = 11(3) - 12

45 - 24 = 33 - 12

21 = 21

Please help me please

Answers

Answer:

The numbers in the second row of each collumn is increasing by 4 every time the numbers in the first row increase by 1.

Answer:

For each day that passes, the average savings amount increases by 4

You will spin each spinner once. What is the probability
that both spinners will land on yellow?

Answers

Answer:

spiner number 1

Step-by-step explanation:

Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A(2,6), Point B(6,8), and Point C(8,4). Which of the following additional statements is sufficient to prove that quadrilateral ABCD is a square

Answers

Answer:A

Step-by-step explanation:

Got it right in my test lolz

You can use the fact that diagonal of a square are equal and perpendicular to each other.

The option D: Segment BD has a slope  of 3 and a length of [tex]2\sqrt{10}[/tex]

Given that:A has coordinate (2,6)B has coordinate (6,8)C has coordinate (8,4)

When is ABCD square?

One theorem in mathematics states that:

"If diagonals of a quadrilateral are equal and perpendicular to each other, then that  quadrilateral is a square."

Using the fact that diagonal of a square are equal and perpendicular to each other:

For ABCD to be square, we need AC and BD to be of equal length and perpendicular to each other.

Two lines are perpendicular if their slopes are negative reciprocal of each other.

Slope of AC:

[tex]Slope(AC) = \dfrac{rise}{run} = \dfrac{C_y - A_y}{C_x - A_x} = \dfrac{4-6}{8-2} = -\dfrac{1}{3}[/tex]

Thus, slope of BD needed to be negative reciprocal of -1/3 which is 3 for ABCD to be square (first needed condition)

Length of AC:

[tex]|AC| = \sqrt{(C_y - A_y)^2 + (C_x - A_x)^2} = \sqrt{(4-8)^2 + (8-6)^2} = \sqrt{2^2 + 6^2} = \sqrt{40} = 2\sqrt{10}[/tex]

The second condition needs |BD| = |AC|.

Thus, length of BC should be [tex]2\sqrt{10}[/tex]

Thus, the sufficient condition for ABCD to be a square is:

Option D: Segment BD has a slope  of 3 and a length of [tex]2\sqrt{10}[/tex]

Learn more about square and its diagonals here:

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which of the following graphs represent the equation y=3x-2

Answers

Answer:

C

Step-by-step explanation:

-2 means that the y-intercept is (0, -2), so we can immediately eliminate option D. 3x means that it is a positive correlation, so left to right the line will go diagonally up, so we can eliminate option B.

Finally, we can see that 3x means that the slope is pretty steep, so we can choose C as our answer.

qual o resultado da equação 12÷(6+2-(3+3))​

Answers

Answer:

I think it is 11.5 and in a fraction 11 1/2

What is the volume of a box with sidelines that are 20 inches use the formula B equals S3 where is S is the length of one side

Answers

Answer:

The volume of a box with sidelines that are 20 inches is 8000 cubic inches

Step-by-step explanation:

The volume of a box with sidelines that are 20 inches can be determined by using the formula

B = S³

Where S is the length of one side

and B is the Volume

From the question, the sidelines of the box are 20 inches. That is

S = 20 inches

From

B = S³

B = (20 inches)³

B = 20 inches × 20 inches × 20 inches

B = 8000 cubic inches

Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.

Answer:

8;000 in³

Step-by-step explanation:

because I know

Please help me
I don’t know this

Answers

Answer:

1. 10/21

2. 11/21

Step-by-step explanation:

hey ya



define matter




have a great day ​

Answers

Answer:

 matter is any substance that has mass and takes up space by having volume

Step-by-step explanation:

Answer:

Anything which occupies space and have mass is called matter.

Step-by-step explanation:

There is no any explanation of defination of matter xD...

yay help me plz and I will be happy​

Answers

The answer to this is; B)

Answer:

D

Step-by-step explanation:

Each hour = -0.2 which represents the ounces of the candle that burn down within each hour.

Select all of the following equations the number 80 will make true.
A. 320 ÷ □ = 40
B. 4,800 ÷ □ = 60
C. 7,200 ÷ □ = 900
D. 1,600 ÷ □ = 200
E. 3,200 ÷ □ = 40
u can only choose two-

Answers

O wait nvm sry

B and E

Answer:

I need Help on this one too.

Step-by-step explanation:

But I think Its E. and B. Cause I just to the test.

Solve each system by substitution.
1) y = 2x + 2
y = -5x + 16

Answers

Answer:

y = 6

x = 2

Step-by-step explanation:

rearrange the first equation in terms of x

x = (y - 2)/2

substiute x in the second equation

y = -5[(y-2)/2] +16

Now simpilify and solve for y

y = (-5y + 10)/2 +16

y = -5/2y + 5 + 16

y + 5/2y = 5 + 16

3.5y = 21

y = 6

Now substitue y in the first equation to solve for x

x = (6 - 2)/2

x = 2

Answer:

(2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = -5x + 16

Step 2: Solve for x

Substitution

Substitute in y:                     2x + 2 = -5x + 16Add 5x on both sides:         7x + 2 = 16Subtract 2 on both sides:    7x = 14Divide 7 on both sides:        x = 2

Step 3: Solve for y

Define equation:                    y = 2x + 2Substitute in x:                       y = 2(2) + 2Multiply:                                  y = 4 + 2Add:                                        y = 6

(GIVING BRAINLIEST!!!)

Solve the division equation using the fraction model.

A) 1/12
B) 12
C) 4/12
D) 7

Answers

Answer:

A) 1/12

Step-by-step explanation:

Half of 1/3 is 1/6. But that would only be dividing by 2. If you half 1/6, which would be dividing 1/3 by 4, you get 1/12.

The answer would be A)1/12

Find the missing value in the table.

Answers

Answer:

i think its 10

Step-by-step explanation:

The answer is 10

y= x + 0.5
9.5 + 0.5= 10

Alex constructs a scatter plot. He realizes that he needs to add one more point, which will be an outlier.

Which of the ordered pairs does he still need to plot?

(14,2)
(2,12)
(18,10)
(10,6)

Answers

Answer:

A. 14,2

Step-by-step explanation:

Plot each of the points, and whatever one is the furthest away from the scatter, and there's your answer.

What value of x makes this equation true?
12x - 15 = 6 - 3x
A 7
3
B3
7
5

Answers

The answer is 7/5 i know this because i made this problem


does anyone know “?” ? ILL MARK AS BRAINLIEST

Answers

Answer:

sorry for the late...its done have a look

On a quiz there are four multiple-choice questions worth 3 points each and two true/talse questions
worth 1 point each. Each multiple-choice question has five possible choices. If a student randomly
guesses on each question, what is the expected value of the student's score on the test?

Answers

Using proportions, it is found that the expected value of the student's score on the test is of 3.4 points.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are four multiple choice questions, with five options, worth 3 points each, hence the expected score for the multiple choice questions is given by:

Em(X) = 4 x 1/5 x 3 = 12/5 = 2.4.

There are also two true-false questions(two options), worth 1 points, hence the expected score for the two true-false questions is given by:

Etf(X) = 2 x 1/2 x 1 = 1.

Then, the total expected score is given by:

E(X) = Em(X) + Etf(X) = 2.4 + 1 = 3.4.

More can be learned about proportions at https://brainly.com/question/24372153

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In a scale drawing, 6 inches equals 2 feet. What is the SCALE FACTOR?

Answers

Answer:

1 to 4

Step-by-step explanation:

we know 2 feet is equal to 24 inches  and 6 inches is .5 feet so 24/6 is 4 meaning that it is 1/4 of the scale factor

Based on the length of the scale drawing and the actual length, the scale factor is 4.

What is the Scale factor?

This is a number that multiplies the scale drawing length to find the actual length.

It is found as:

= Actual length / Scale length

Both have to be in the same units so convert the actual length to inches:

= 2 x 12 inches per feet

= 24 inches

Scale factor is:

= 24 / 6

= 4

In conclusion, the scale factor is 4.

Find out more on scale factors at https://brainly.com/question/3339041.

Use a number line to arrange these numbers in order from least to greatest:
2, 19, -11, 6, -5

Answers

the first one is -11,-5,2,6,19

Solve:
-19 + 3x = 3(x - 5)

Answers

Answer:

x=4

Step-by-step explanation:

19+3x=3(x-5)

do rainbows

19+3x=3x-15

subtract 19 on other side

3x=3x+4

divide out the 3s

x=4

Due in a couple of minutes!!!

Answers

Answer:

12

Step-by-step explanation:

Answer:12

Step-by-step explanation:

     0 12

30 /360

 −0    

  36  

 −  30  

   60

  -         60

      0

 

Help me with this pls

Answers

Answer:

The answer should be D) 105 = (5x - 70)

Step-by-step explanation:

Answer:

D. 105=(5x-70)

Step-by-step explanation:

I'm pretty sure its correct but it may not be

Graph All the plans on the graph provided. Your graph should include talk times between 0 and 200 minutes.

2. Was your plan in part B an example of direct variation (the plan depended only on the time spent talking) or a partial variation? (the plan depended on the time spent talking and an initial cost). 3. Which Plan best for you? Was this the same as your hypothesis? 4. Which plan had the highest rate of change? Which plan has the lowest slope?
5. Using your graph, which plan would be best if you talked for 200 minutes? 6. When is the Rogers My5 plan better than the Telus prepaid plan? 7. Which plans are an example of direct variation? 8. Come up with at least 3 other things that need to be considered when choosing your cell phone plan (aside from cost per minute talking), and explain why these are important to you.

Answers

I'll do the first five problems to get you started.

==================================================

Problem 1

The graph is shown below in the attached image.

==================================================

Problem 2

The plan chosen was Public Mobile, which offered $24 per month for unlimited minutes. This plan does not depend on the number of minutes, so this is not a direct variation. It's also not a partial variation either since the cost doesn't vary (ie change) at all. The monthly cost is fixed at $24 per month.

Even at 200 minutes, this is the cheapest plan as mentioned in the other chart I posted. You can determine this by plugging x = 200 into each equation described earlier. You should find that Public Mobile still gives the cheapest rate. The graph done in problem 1 visually verifies this. The gray line y = 24 is below each of the other lines when x = 200.

==================================================

Problem 3

The best plan is still Public Mobile when x = 1800 minutes per month.

Any x value such that x > 140 will also have Public Mobile be the best plan.

When we get to x = 140 is when this isn't the best plan and instead Bell is the better plan to go with. Note the purple line y = 0.10x+10 is below the gray line y = 24 for values x < 140. This visually shows us that Bell is cheaper compared to Public Mobile.

==================================================

Problem 4

The plan with the greatest rate of change is Telus. This is because y = 0.35x has the largest slope of 0.35

The rate of change is the charge per minute.

==================================================

Problem 5

If you talked for 200 minutes, then Public Mobile is the best plan. This is because the gray line y = 24 is below any other line when we have x = 200.

What is the value of x?
10
15
30
45​

Answers

X is 0,in most situations,but could you provide a picture next time?
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