The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in miles per hour in which she is traveling.

Answers

Answer 1

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed ([tex]v[/tex]), measured in inches per second, is defined by following expression:

[tex]v = R\cdot \omega[/tex] (1)

Where:

[tex]R[/tex] - Radius of the wheel, measured in inches.

[tex]\omega[/tex] - Angular speed, measured in radians per second.

If we know that [tex]R = 11\,in[/tex] and [tex]\omega \approx 39.584\,\frac{rad}{s}[/tex], then the linear speed, measured in miles per hour, in which Darlene is traveling is:

[tex]v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}[/tex]

[tex]v \approx 24.74\,\frac{mi}{h}[/tex]

The linear speed in which Darlene is traveling is 24.74 miles per hour.


Related Questions

The Pythagorean Theorem


(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)

Answers

Answer:

No it won't

Step-by-step explanation:

Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86

Look at the Screenshot and ANSWER THE QUESTION

Answers

Answer:

Graph C is the answer.

Step-by-step explanation:

From the graphs attached,

Graph A

Given graph represents a cubic function.

Graph B

This graph represents a piecewise  function.

Graph C

This graph represents an exponential function.

Graph D

Given graph represents a quadratic function.

Graph C is the answer.

can someone explain how im meant to do this please? :)

Answers

Answer:

you have to do

92×98=9016

then 9016=10(here we roud to 1 signification figure)

49×138=6762

6762=6

216×876=189216

189216=1

i think it’s the answers

The sum of two numbers is 369 the difference of those two numbers is 17 which answer choice shows both numbers

Answers

Answer:

(176, 193)

Step-by-step explanation:

Well you forgot to put in the choices, but:

The difference between the numbers is 17. Let's call the smaller number x and the bigger one y

(x + y) = 369

y = x + 17

(x + (x + 17)) = 369

2x + 17 = 369

2x = 352

x = 176

y = x + 17 = 193

X=193,y=176
X+y=369
X-y=17
X=17+y
(17+y)+y=369
17+2y=369
2y=352
Y=176
X=369-176
X=193

Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.

Answers

0.620041 x 10^8 = 62,004,100. Hope this helps!

NEED HELP WITH NUMBER 2 PLS I WILL MARK YOU BRAINLIEST

Answers

Answer:

The slope is 25 and the y-intercept is 100

Step-by-step explanation:

With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here

B is always the y-intercept, which is 100 here

A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?

A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t

Answers

Answer:

b

Step-by-step explanation:

The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.

Given:

Population,

25

Increasing rate,

r = 20%

Now,

The value after 1 year will be:

= [tex]25+(\frac{20}{100} )25[/tex]

= [tex]25+\frac{1}{5}\times 25[/tex]

= [tex]25+5[/tex]

= [tex]30[/tex]

Now

→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]

→                   [tex]R = 1.67[/tex]

hence,

The exponential growth rate to find the monthly growth rate will be:

→ [tex]y = 25(1.0167)^t[/tex]

Thus the above answer i.e., option C is the correct alternative.

Learn more:

https://brainly.com/question/11647902

pls help me thank you!
choose the best answer
3x^2-6x=29

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

Answers

Answer:C

Step-by-step explanation:

WEILL GIVE BRAINLIEST!
Translate into a variable expression.
n less than 22

Answers

Answer:

n<22 or 22- n

Step-by-step explanation:

(3x- 1) 71 solve for the equation and x please

Answers

Answer:

x=24

Step-by-step explanation:

The opposite angles are equal as per certain theorems.

3x-1=71

3x=72

x=24

Evaluate 3m to the second power n to the -2nd power for m= 2 and n= -3

Answers

Answer:

1296

Step-by-step explanation:

3 × 2 = 6

6 to the power -2 = 0.277777777777777777

0.277777777777777777 to the power -2 = 1296

0.277777777777777 is the dickiamal

T. Dr. Sox drives through two stoplights on
her way to work. The first light is green
for 20 seconds out of each minute. The
second light is green for 35 seconds out
of each minute. What is the probability
that Dr. Sox will hit two green lights?

Answers

Question??

Dr. Sox drives through two stoplights on her way to work. The first light is green for 20 seconds out of each minute. The second light is green for 35 seconds out of each minute. What is the probability that Dr. Sox will hit two green lights?

Explanation;

Since this is an AND situation, we MULTIPLY the probabilities.

Answer/Explanation:

First light green:

P

1

=

20

60

=

1

3

Second light green:

P

2

=

35

60

=

7

12

Both lights green:

P

=

P

1

×

P

2

=

1

3

×

7

12

=

7

36

Of course, this is assuming that there is no "green wave" policy, or the two probabilities would not be independent

110 cm
50 cm
140cm
y у
180 cm

Answers

Answer:

its a little hard sorry I dont know

Find the area of the rectangle.. Single choice.

436 cm squared
399 cm squared
380 cm squared
417 cm squared

Answers

Answer:

399 cm squared.....Do you want explanation ??

Answer:

socratic

Step-by-step explanation:

use socratic take a pic then it searchers for you

8 is the factor of ___________.
(a) 72 (b) 73
(c) 74 (d) 75

Answers

Answer:

72

9 times 8 is 72

pls mark me as brainliest thanks

he puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained? n = 9 pounds n > 9 pounds n < 9 pound

Answers

Answer:

n=9

Step-by-step explanation:

just did it

What is the solution to the system of equations?

Answers

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

WILL MARK BRAINLIEST pls help (ignore notes)

Answers

Answer:

Step-by-step explanation:

Shaped area perimeter=50(3)+50[tex]\pi[/tex]÷2+50(2)[tex]\pi[/tex]÷4

                                      =150+50[tex]\pi[/tex]

                                      =307.1 cm(correct to nearest tenth)

Solve for c.
-2c = 8

Answers

Answer:

c = -4.

Explanation:

If you divide -2 to both sides, it should equal -4.

Answer:

c = -4

Step-by-step explanation:

8/-2 = -4

what's the distance between (1,7) and (-2,-4)

Answers

Answer:

Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).

Step-by-step explanation:

Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).

Answer:

The distance is Sqrt(130) or in decimal form, 11.01...

Step-by-step explanation:

The distance formula states that you need to do sqrt((a-x)^2+(b-y)^2)). In this scenario (x,y)(a,b)= (1,7)(-2,-4) So we just fill in that formula. (-2-1)=-3^2=9; (-4-7)=11^2=121; 121+9=130. The distance is therefore Sqrt(130) or in decimal form, 11.01...


What is the equation of the line that passes through the points (4,5) and (6,4)?

Answers

Answer:

y=(-1/2)x+7

Step-by-step explanation:

y=mx+b

find slope (m)-> (4-5)/(6-4)

find y-intercept (b)-> 4=(-1/2)6+b

m= -1/2

b= 7

Which is the quotient if 3/5 and 1/10?

Answers

Answer:

6

Step-by-step explanation:

We have two fractions and are asked to find the answer if they both are divided.

3/5 and 1/10.

When we divide fractions, we need to follow KCF

KEEP - Keep the fractions

CHANGE - Change the division sign to a multiplication sign

FLIP - Flip the second fraction

Follow :

KEEP :

3/5 / 1/10

CHANGE :

3/5 * 1/10

FLIP :

3/5 * 10/1

Now we need to multiply, which is simple because it's multiplying across :

[tex]\frac{3*10}{5*1}[/tex]

30/5

Simplify by dividing the numerator and denominator by 5 :

[tex]\frac{30/5}{5/5} = \frac{6}{1}[/tex]

Divide the numerator by denominator :

[tex]\frac{6}{1} = 6[/tex]

Need to figure out x and y

Answers

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

Which equation has a greater rate of change than the linear function in the table? A. y = 6x + 13 B. y = -4x-18 C. y = 5x–3 D. y = -3x + 2​

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

what is the slope of the line shown below?

Answers

Answer:

A

Step-by-step explanation:

6/3

I messed up I see what I did wrong, so I leave it hereeee

Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ratio but a driver with 34 teeth, how many teeth must go on the the driven gear?

Answers

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

If x is measured in yards and your boss wants a 2" thickness of mulch, how many cubic yards should he order?

Answers

Answer:

1000. Then 1000 divided by 324 = 3.08 cubic yards.

Step-by-step explanation:

Answer:

0.8585 cubic yards

Step-by-step explanation:

inches-->yeards 2/36 in

15.453*2/36 = 0.8585 (tried volume formula)

I figured if the derivative represented the area then x^2*x = x^3 so that would represent the volume of mulch needed.

simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3

Answers

Answer:

C. 6x+3

Step-by-step explanation:

Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.

3*2x is 6x.

3*1 is 3.

This results in 6x+3.

Step-by-step explanation:

C.6x+3 thats tge answer

Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?

Answers

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

make m the subject of the formula g=√m-5/2

Answers

Answer:

answer is m = 5 + 2G^2

Step-by-step explanation:

first we have to cancel out the √ by powering both sides by 2

(G) ^2 =(√ m-5/2)^ 2

the 2 on the right side cancels out the √ which will be

G^2 = m - 5/2

we then cross multiply on both sides which will give us:

2*G^2 = m - 5

then carry 5 to the other side

2G^2 +5 = m - 5+5

therefore m = 5 + 2G ^2

clear steps in the picture

hope that helps

Answer:

answer is m = 5 + 2G^2

your welcome

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