A motorcycle tire with a radius of 16 inches rotates at a rate of 150 revolutions per minute (rpm).
a) Find the linear speed of the tire in inches per minute.
b) Find the angular speed of the tire in radians per minute.

Answers

Answer 1

Answer: (a)942.85 rad/s

(b) 15,085.71 inches per minute

Step-by-step explanation:

Given

the radius of tire r=16 inches

N=150 revolution per minute(rpm)

So, the angular speed of the tire  [tex]\omega=2\pi N=2\times \frac{22}{7}\times 150=942.85\ rad/minute[/tex]

The linear speed of the tire [tex]v=\omega r[/tex]

[tex]v=\dfrac{6600}{7}\times 16=15,085.71\ \text{inches per minute}[/tex]


Related Questions

75 points! Will mark brainliest! Only answer if you know it! Random answers will be reports because I’m trying to get the true real answer :)

Answers

Answer:

y=1/2x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to y=1/2x−8

I know this isn't much but please don't report me. I got this answer ):

Answer:

y = [tex]\frac{1}{2}[/tex]x + 8

Step-by-step explanation:

Since lines that are parallel to each other must have the same gradient,

m = [tex]\frac{1}{2}[/tex]

The y-intercept of the line whose equation is x - y = 7 is

7
1
-7

Answers

Answer:

-7

Step-by-step explanation:

x-y=7

-y=-x+7

y=x-7

hope it helps

Divide £320 in the ratio 3:5

Answers

Answer:

£120 : £200

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 = 8 parts

Divide the amount by 8 to find the value of one part

£320 ÷ 8 = £40 , then

3 parts = 3 × £40 = £120

5 parts = 5 × £40 = £200

Then £320 in the ratio 3 : 5 is £120 : £200

The division of  £320 in the ratio of 3: 5 is £120: £200.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the amount of £320

Now,

The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.

So,

320/8 = 40

Now,

Multiply by 3 ⇒ 3 × 40 = 120

Multiply by 5 ⇒ 5 × 40 = 200

So ratio 120/200 = £120: £200.

Hence "The division of  £320 in the ratio of 3: 5 is £120: £200".

To learn more about the arithmetic operators,

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Answers

Answer:

92°=180°/y° I think this is correct

PLEASE
What is the solution to the equation 4 ( b − 2 ) − 10 = 2b + 6 ?

Answers

Answer: 12

Step by step explanation:
First simplify both sides of the equation
( 4 )( b ) + ( 4 ) ( - 2 ) + -10 = 2b + 6 (distribute)
4b + -8 + -10 = 2b + 6
(4b) + (-8 + -10 ) = 2b + 6 (combine like terms)
4b + -18 = 2b + 6
4b - 18 = 2b + 6
Then subtract 2b from both sides
4b - 18 - 2b = 2b + 6 - 2b
2b - 18 = 6
After that you add 18 to both sides
2b - 18 + 18 = 6 + 18
2b = 24
2b/2 = 24/2
b = 12

The graph of 3x − 2y = -1 is shown on the grid.

Answers

Answer:

slope: 3/2, y-intercept: (0,1/2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Can you help meh answer for brianliest

Answers

Answer:

1st One- 1 13/30

2nd One- 1 13/20

3rd One- 1/6

Step-by-step explanation:

Because yes

Answer:

1 13/30      1 13/20      1/6

Step-by-step explanation:

because i am smart

Consider the expressions given below. For each expression below, select the letter that corresponds to the equivalent expression from that given list.

Answers

Answer:

(4x³ - 4 + 7x) - (2x³ - x - 8)  ---->  B.

(-3x² + x⁴ + x) + (2x⁴ - 7 + 4x)  ---->  D.

(x² - 2x)(2x + 3)  ---->  A.

Step-by-step explanation:

.

A 6-сm long toy car is 4% of the length of the official scale model of the Batmobile. How long is the official scale model? Show your work (you may use a linear model if you'd like) ​

Answers

Answer:

[tex]150\:\mathrm{cm}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the length of the official scale model. We can set up the following proportion:

[tex]x\cdot 0.04=6[/tex].

Solving, we get:

[tex]x=\frac{6}{0.04}=\fbox{$150\:\mathrm{cm}$}[/tex].

Please help!! I will mark you brainliest

Answers

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

Which of the following points does not lie on the graph of y = 1/2x+3?
1) (10,8)
2) (0,3)
3) (-2,2)
4) (-6,-3)

Answers

Answer:

number 1 doesn't lie on the graph

Step-by-step explanation:

and I don't really have an explanation

Number one doesn’t lie hope this helps on what ever test or homework you are doing buddy

(:

find each unit price to decide which is the best buy

Answers

Answer:

do you have more info so I can help

This is something I have been trying forever !!!

Answers

Answer:45 degrees

Step-by-step explanation: The opposite angles theorem

Answer:

45

.................. . ...

Between afternoon and evening, the temperature dropped by 8 degrees. The weather forecast predicted that the evening temperature would be lower than -12 degrees F.
Write an inequality for this situation where t represents the temperature. *

Answers

Answer: t-8 < -12

Step-by-step explanation:

Point M is on line segment LN. Given MN = 3x, LN = 4x + 9, and
LM 2x + 7, determine the numerical length of LM.

Answers

Answer:

LM = 11 units

Step-by-step explanation:

Given M  is on LN , then

LM + MN = LN , substitute values

2x + 7 + 3x = 4x + 9

5x + 7 = 4x + 9 ( subtract 4x from both sides )

x + 7 = 9 ( subtract 7 from both sides )

x = 2

Thus

LM = 2x + 7 = 2(2) + 7 = 4 + 7 = 11

solve for x. round to the nearest tenth

Answers

hi I am interested for your post I am interested to apply to join your company and simplify I am working I am working for a company in a number and simplify are some of a number my dear is a factor in a number subtract and the following of a number of a number my friend who has issue and a speedy response from you and I have not received for my last year since I was a sequence and simplify and simplify in my team and simplify and the team the first and the other numbers of a few weeks is a factor in a number subtract and is very much

Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain

Answers

Answer: This is not a function

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

Explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

Since 7 is greater than 5, you input it into the last equation.

2•(7) -7
14-7
7

The answer is 7!

What expression -5+(-5r)+10​

Answers

The answer for the question is -5r+5

42 slices from 3 cakes = 84 slices from____ cakes

Answers

6 Cakes man 6 cakes 42*2 3*2

Answer:

42 slices from 3 cakes = 84 slices from 6 cakes

Step-by-step explanation:

Let the unknown value be x

[tex]42 = 3\\84 =x\\\\[/tex]

Cross Multiply

[tex]42\times x = 84\times 3\\\\42x = 252[/tex]

Divide both sides of the equation by 42

[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]

Someone please help me with thiss

Answers

Answer:

The total trip will be 4 hours long.

Step-by-step explanation:

The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.

Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned. a. How many peanut butter cookies does Fred have left to sell?

Answers

Answer: 12 peanut butter cookies

Step-by-step explanation:

Fred had made 10 dozen cookies which means he made:

= 10 * 12

= 120 cookies

Out of those, 1/4 were peanut butter:

= 120 * 1/4

= 30 peanut butter cookies

He burned 3/5 of the peanut butter cookies:

= 30 * 3/5

= 18 cookies were burnt

The amount let is therefore:

= 30 - 18

= 12 peanut butter cookies

I need help I don't understand​

Answers

Answer:

Step-by-step explanation:

Angle LPR and Angle PLN are supplementary to one another

9x+26+5x=180

Combine like terms

14x+26=180

Subtract 26 from both sides

14x=154

Divide 14 on both sides

x=11

Hope it helped :))

Write the equation for the line with the given points (0,-3) and (2,9) in point slope form

Answers

Equation: Y = mx + b
First of all, we will solve for our M which is our slope.
M = Yb - Ya / Xb - Xa
M = 9 - (-3) / 2 - 0
M = 9 + 3 / 2 - 0
M = 12 / 2
M = 6

Now that we have our slope, we will be finding our y-intercept.
Y = mx + b
9 = (6)(2) + b
9 = 12 + b
= 9-12 = 12-12 + b (12 cancels out)
= -3 = b

So, therefore, the equation is: Y = 6x - 3

Jacy paid $15.48 to download 12 songs last month. She paid the same amount for each song and also had to spend $5.04 to enroll in the music purchasing program.

Part A
Let s represent the amount that Jacy paid for each song she downloaded.
Which equation could you use to find the value of s?
12s = 15.48
15.48 + s = 12 + 5.04
12 + s = 15.48 + 5.04
12s + 5.04 = 15.48

Answers

12s = $15.48

Hope this helps!
Have a nice day :)

The solution is, 12s + 5.04 = 15.48, is the equation which could you use to find the value of s.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

Jacy paid $15.48 to download 12 songs last month.

She paid the same amount for each song and also had to spend $5.04 to enroll in the music purchasing program.

now, we have,

Let s represent the amount that Jacy paid for each song she downloaded.

so, we get,

She paid the same amount for each song and also had to spend $5.04 to enroll in the music purchasing program.

i.e. 12s + 5.04

and, Jacy paid $15.48

i.e. the equation which could you use to find the value of s is,

12s + 5.04 = 15.48

Hence, The solution is, 12s + 5.04 = 15.48, is the equation which could you use to find the value of s.

To learn more on equation click:

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The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.


A.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27

B.
n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27

C.
n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14

D.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15

Answers

Answer:

D. n+n+2+n+4+6= -72; n= -21; n+2= -19; n+4= -17; n+6= -15

There are 2 below and 2 above it.

-15, -17, -19, -21

Step-by-step explanation:

the sum of four consecutive odd integers is -72. write an equation to model this situation, and find the values of the four integers .

n + n+2 + n+4 + n+6 = -72

4n + 12 = -72

or

-72/4 = -18, the center


can you solve for x and y pls hurry ...

Answers

Answer:

x=50 y=25

Step-by-step explanation:

brainliest pls

How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?​

Answers

Answer:

Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.

Step-by-step explanation:

Solve the area formula for a circle, A = πr2, for r2.






r2 = Aπ

r2 = A – π

Answers

Answer:

The solution of r² is r² = [tex]\frac{A}{\pi }[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)

Let us solve the question

∵ The formula of the area of the circle is A = π r²

∵ The subject is r² ⇒ The variable which we need to solve for it

→ By using the 1st step up divide both sides by π to move it from the right

   side to the left side

∵ [tex]\frac{A}{\pi }[/tex] = [tex]\frac{\pi r^{2}}{\pi }[/tex]

∴ [tex]\frac{A}{\pi }[/tex] = r²

→ Switch the two sides

r² = [tex]\frac{A}{\pi }[/tex]

Jayden drew a scale drawing of an arcade. He used the scale 1 inch = 3 feet. If an air hockey table is 3 inches long in the drawing, how long is the actual air hockey table?

Answers

Answer:

9 Feet

Step-by-step explanation:

Lets start with a ratio:

1:3

Now lets look at the other ratio:

3:?

If the 1 turned into a three in the second ratio, then what will the 3 in the first ratio turn into?

9!

Because 1x=3 should be equivalent to 3x=9

Lets check our work:

x=3

3x=9

Simplify by dividing by 3 on both sides:

x=3

x=3

It worked!

The answer is 9 feet. If the air hockey table is 3 inches long and 1 inch = 3 feet, 3 x 3 = 9.

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