Question 1
18 pt
A Merry-Go-Round revolves 6 times per minute, Jack is 10 feet from the center
while Bob is 14 feet from the center. (calculator allowed)
Jack's linear speed is (Select ]
feet per minute.
V
Bob's linear speed is Select !
feet per minute.

Answers

Answer 1

Bob's linear speed is higher than Jack's because the radius of the circle

around which Bob rotates is larger.

Responses:

Jack's linear speed is approximately 377 feet per minuteBob's linear speed is approximately 527.8 feet per minute

What is the relationship between linear speed and angular speed?

Given:

The rotational speed of the merry go round = 6 revolution per minute

Jack's distance from the center = 10 feet

Bob's distance from the center = 14 feet

The angular speed, ω, of the merry-go-round is found as follows;

[tex]\omega = \mathbf{\dfrac{6 \times 2 \cdot \pi}{1 \ minute}} = 12 \cdot \pi \ rad/minute[/tex]Linear speed = ω × r

Which gives;

Jack's linear speed = 12·π rad/min × 10 feet ≈ 377 feet per minuteBob's linear speed = 12·π rad/min × 14 feet ≈ 527.8 feet per minute

Learn more about angular speed and linear speed here:

https://brainly.com/question/8058144


Related Questions

PLEASE HELP!! Don’t answer just for points
Hannah is having a birthday party, and each guest gets a bag of party favors. Each goody bag contains one of 2 different toy cars and one of 6 different toy trucks. How many different combinations of party favors can there be in a goody bag?

Answers

Answer:

12

Step-by-step explanation:

for everyone 1 toy car there is 6 trucks so 2x6 is 12

Can someone help me do my math on edge? I can pay

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Answer:

ummm, why do you wanna pay just ask your question...

Step-by-step explanation:

Factor the following expression: 16z+20

Answers

Answer:

4z + 5

Step-by-step explanation:

16 and 20 are both dividable by 4, so you divide them both by four and then you have your answer

Answer:

4(4z + 5)

Step-by-step explanation:

Given

16z + 20 ← factor out 4 from each term

= 4(4z + 5) ← in factored form

Solve for a. -\dfrac14a-4=\dfrac74a-3− 4 1 ​ a−4= 4 7 ​ a−3

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what’s does dfrac mean

write the equation of the line in fully simplified slope intercept form​

Answers

Answer:

[tex] y = \dfrac{5}{2}x - 4 [/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

where m = slope, and b = y-intercept.

From the graph, we see that the y-intercept, b, is -4, so now we have

y = mx - 4

Now we need to find the slope from the graph.

We see that the points (0, -4), the y-intercept, and (2, 1) are points of the line.

slope = rise/run

rise is a vertical distance. (Up is positive; down is negative.)

run is a horizontal distance. (Right is positive; left is negative.)

Start at (0, -4). Go up 5 units. That is a rise of +5 since you went up. Now go 2 units to the right. That is a run of +2 units since you went right. The rise is 5, and the run is 2.

m = slope = rise/run = 5/2

The equation is

[tex] y = \dfrac{5}{2}x - 4 [/tex]

2. The coordinate grid shows triangle RST. (x, y) - 0,-) S R. ✓ O (x,y) - (x, y) O (x,y) - (-y, x) O (x,y) - (-x, y) CLEAR ALL Triangle RST is rotated 90° about the origin to create triangle R'S'T'. Which rule describes this transformation?​

Answers

Answer:

reflection

Step-by-step explanation:

i hope this is right lol

Answer:

(x, y) -> (-y, x)

Step-by-step explanation:

I hope u get this right

PLEASE HELP IM BEGGING YOU ILL GIVE BIRRELENTLIST

Answers

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

10^4 x 8 = 80,000. 10^3 = 1000. 80,000 - 1000 = 79000. 87,000-79000= 8000. The answer would be 8000. I think. Don't come at me if I'm wrong, I'm just trying to help.

If I=v-1, then i^2=
Algebra 2 The v is a Square root. I need help!!

Answers

Answer:

-1

Step-by-step explanation:

√-1*√-1= -1

similar to how

√2*√2=2

HELPPPP WHICH 2 ARE LINEAR FUNCTIONS ???

Answers

Answer:

1 and 2

Step-by-step explanation:

The first and second option,

The others all have a number or variable with exponent which means it's a parabola and linear means straight lines and parabolas are no straight at all.

the linear ones are the top 2

Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Give your answer to the nearest penny where appropriate.

Answers

Explanation

A = C (1 + I)**t
A = 1900( 1+0.045)**7
A= 2585.64£
Answer

2585.64£



Use what you already know to find a, b, and c.
Input each value. Then click done. HELP ME PLEASE FAST!

Answers

Answer:

Use the "find vertically opposite angle" method.

a = 80°

To find the other angles:

Since the angles equal up to 360 which makes a full circle shape...

360 - 80 - 80 = 200 (B and C)

200 ÷ 2 = 100 (Angle for B and C since they are vertically opposite, hence having the same angle)

b = 100°

c = 100°

Please help. Im stuck on this question and cant figure this out/

Answers

Answer:

34.1 and 34.3

Step-by-step explanation:

Since it is 2/9 and it's going up by 10's the decimal is .22222222. So it would be between numbers of .1 and .3. Hope this helps!

I need help guys please

Answers

Answer:

24.84

Step-by-step explanation:

a^2 + d^2 =c^2

So c = square root 19^2 + 16^2 = 24.84

I need the one on the right please lol I don’t get it

Answers

Answer:

Step-by-step explanation:

16- R

17 P

18 A

19 H

20  B

Answer:
First option: 3
Second option: -3
Third option: 5
Fourth option: -1/2
Fifth option: -2

Luke buys a T.V that is on sale for 45% off the original price. The original price is $189 more than the sale price. What is the
original price of the TV?

Answers

Answer:

420

Step-by-step explanation:

45%->189

100%->420

:)

Write a number sentence and solve for the following situation.

The temperature in New York is -15 F. the temperature in Augusta is 45 F. What is the difference between the temperatures? (Don't forget to include your units)


The daytime temperature on Mercury can reach 430 degrees Celsius. The nighttime temperature can drop to -180 degrees Celsius. How much can the temperature drop in one day?

Colorado is the highest town in the united states at 11,560 feet. The lowest town is Calipatria, California, which is 185 feet below sea level. What is the difference in elevation?

Answers

Answer:

45-(-15)

430-(-180)

11,560-(-185)

Step-by-step explanation:

just add the two numbers together for diffrence.

£300 is deposited in a bank paying 2.25% compound interest per annum.
What is the balance after 2 years?

Answers

i think it might be £168.75 or £468.75. is the money increasing or decreasing?

PLEASE HELP WILL GIVE THE CROWN
Ms. Anderson deposits $7,000 into a savings account that pays a simple interest of 2% per year. What is the total amount of money that will be in her account at the end of 3 years?

Answers

Answer:

7420

Step-by-step explanation:

7000 times 1.06 is 6% interest for 3 years

Please solve this giving 150 points plus the crown
I have been looking everywhere for this and still can't find it so please help me please odnt spam/scam me because it took me a while to gt the points.

Answers

Answer:

money saved = 1.5 x time

Step-by-step explanation:

Find the gradient with rise over run

3/2 = 1.5

Answer:um i think money saved = 1.5 x time

im not 100% sure but i think it is right

Step-by-step explanation:

Which number is equivalent to 3^(4)÷3^(2)

Answers

Answer:

9

Step-by-step explanation:

81 ÷ 9 = 9

Answer: Its 9

Step-by-step explanation: You do 3^4 which equals 81 then you do 3^2 which is 9 so then you divide 81 and 9 which is 9.

What is 3 ÷ 1/2 can you help me with this

Answers

Answer: 1.5 or 1 1/2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3 ÷ 1/2 = 6

1/2 can go into 3, 6 times.

how do you write a unit rate with 600 calories in 8 servings

Answers

Answer:

75 CALAORIES IN 1 SERVING

Step-by-step explanation:

You would do 600 divided by 8 to get 75 calories for 1 serving

Delilah works at RaceTrac for $8 an hour. Which equation best represents this situation?
y = x
y = 8x
y = 4x
y = 16x

Answers

The second option, y= 8x

Which is the only center point that lies on the edge of a triangle?

the incenter of a right triangle
the incenter of an obtuse triangle
the circumcenter of a right triangle
the circumcenter of an obtuse triangle

Answers

Answer:

Circumcenter

Circumcenter is the only center point on the edge of a triangle. this is true in the case of the right-angle triangle. It exactly lies on the midpoint of the hypotenuse. Circumcenter is the point of intersection of the perpendicular bisector of sides of triangles.

The circumcenter of a right triangle is the only center point that lies on the edge of a triangle.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

To find the only center point that lies on the edge of a triangle.

Now, We know that;

The circumcenter of a right triangle is the only center point that lies on the edge of a triangle.

Thus, The correct statement is,

The circumcenter of a right triangle.

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ7

Helppppppppp pleaseeeee

Answers

4.83
8x-11=2x-7+25
8x=2x+29
6x=29
divide by 6 on both sides
x=4.833333333

Answer:

x=4.833

Step-by-step explanation:

VH+HS=VS

VH=2x-7

VS=8x-11

HS=25

2x-7+25=8x-11

2x-2x-7+25=8x-2x-11

18=6x-11

18+11=6x-11+11

6x=29

x=4.833

what is -310.5 as a fraction​

Answers

Answer:

- 310.5/100

Step-by-step explanation:

Answer:

-310 1/2

Step-by-step explanation:

hope this helps :)

Question 10 of 10
Which of the equations below could be the equation of this parabola?
5
-5
Vertex (0,0)
5
5
A. x = 3y2
B. y= 3x2
c. y=-3x2

Answers

Answer:

×=234(43)rep3224×89

234+432=642

the answer is 642

3×2=6

The equation of the parabola that represents the given graph is y = 3x².

The correct option is B.

What is a parabola?

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

If the vertex of the parabola is at (0, 0), then the equation of the parabola has the form:

y = a x²

where "a" is a constant that determines the shape of the parabola. We need to find the value of "a" using the fact that the parabola passes through the point (1, 3).

Plugging in the coordinates of the passing point (1, 3), we get:

3 = a (1)²

3 = a

Therefore, the value of "a" is 5.

Hence, the equation of the parabola is:

y = 3x²

To learn more about the parabola;

https://brainly.com/question/21685473

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dividir
1. a²-ad÷a
2. 3x²y³-5a²x⁴÷-3x²​

Answers

Answer:

1. a^2 − d

2. 3x^2y^3 + 5a^2x^2 / 3

Step-by-step explanation:

Hope this helps ~

What is the best estimate for 8.3 x 4.9?

Answers

Answer:

40.67

Step-by-step explanation:

I calculated it

If a pen and a pencil cost £1.10 for both and the pen costs £1 more than the pencil, what is the cost of the pen?

Answers

Answer:

The pen will cost £1.05. Trust me. It is right. £1.10-1.05=0.05. £1.05-£0.05=£1

Step-by-step explanation:

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