A taxi is travelling in a circlar path of radius 700 m at the rate of 11 km per hour . Find the angle through which it turns in one minute in grade.​

Answers

Answer 1

Answer:

Approximately [tex]\text{$0.26$ radian}[/tex] every minute.

Step-by-step explanation:

Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)

[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].

Calculate the circumference of this circle:

[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].

Find the time required (in minutes) for this vehicle to go around this circle:

[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].

A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:

[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:

[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].


Related Questions

Simplify (4.5)(5)(−2). (1 point)

Answers

Answer:

(4.5)(5)(−2) = (-9) × 5

= -45

Answer:

-45

Step-by-step explanation:

[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]

PLEASE HELP THESE ROBOTS ARE SPAMMING ME

What led to the formation of the 2 political parties?
A. The Revolutionary War
B. Hamilton's financial plan
C. the Whiskey Rebellion
D. A loss in rock, paper, scissors

Answers

Step-by-step explanation:

The answer is the Revolutionary War

A. The Revolutionary War

I need help please I don’t know what to it is due today

Answers

Answer:

1

Step-by-step explanation:

They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1

A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet

Answers

Answer:

88 ft

Step-by-step explanation:

Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so

2x + 5x + 8x = 165

15x = 165

divide both sides by 15 to isolate x

x = 11

8x = longest piece = 88 ft

help guys HURRY!!! plsss! :D

Answers

Answer:

B. x+240=425

Step-by-step explanation:

Can someone please help me I will mark u brilliant

Answers

Answer for the first question: There are 13 pieces of pie left.

Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

Therefore, there are 13 pieces of pie left.

1. First, let's have the pieces have the same denominator: 8!

3/8 is already fine

1/2 = 4/8

3/4 = 6/8

Now add up the numerators: 13 pieces were eaten.

Since there are 3 pies, there's 24 pieces total

24 - 13 = 11

11 pieces are left over

2. First, 3/4 x 6 = 4.5

1 1/2 x 5 = 7.5

4.5 + 7.5 = 12

-5 + 12 = 7

At 5:00 pm, it was 7 degrees.

Hope this helps!

Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11

Answers

The function rule is y=x+2

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have

Answers

Answer:

44 ten-dollar bills

Step-by-step explanation:

Assume that all 124 bills are ten-dollar bills,

124 x $10 = $1240

Total Value of Money : $840

$1240 - $840 = $400

There are $400 worth of five-dollar bills,

$400 / 5 = 80 (The number of five-dollar bills)

Therfore the number of ten-dollar bills,

124 - 80 = 44

Let's check:

44 x $10 = $440

80 x $5 = $400

Total = $440 + $400

        = $840

What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?

Answers

Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.

The equation is:

[tex]y(x) = \frac{9x^2}{x + 2}[/tex]

The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].

Applying the quotient rule, we have that:

[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]

Then, when x = 1:

[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]

The slope of the line tangent to the graph of y at x = 1 is of 5.

You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177

1/2x-3 + 5x/2x+6 = 2, Solve for x​

Answers

Answer:

1/2x-3 + 5x/2x+6 = 2

1/2x-3 + 5/2+6 = 2

1/2x-3 + 2.5+6 = 2

1/2x + 5.5 = 2

1/2x = 2-5.5

1/2x = 3.5

1 = -3.5 × 2x

1 = -7x

x = -1/7

hope it helps :)

graph the function
f (x) = |x + 2| - 5

Answers

Answer:

View the link for the answer

a plumber receives $72 an hour. how much is she paid for 20 hours of work?​

Answers

Answer:

$1440

Step-by-step explanation:

$72/hour

For 20 hours, she receives

20 hours × $72/hour = $1440

$1440 , 72x20 is the correct answer

A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 

Answers

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9

I need help with this badly.

Answers

Ok done. Thank to me :>

40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo

Answers

The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

Event A : get into a fightEvent B: has a tattoo

So, the probabilities are given as:

[tex]P(A\ n\ B) = 40\%[/tex]

[tex]P(A) = 50\%[/tex]

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]

Substitute known values

[tex]P(B | A) = \frac{40\%}{50\%}[/tex]

Cancel out the percentages

[tex]P(B | A) = \frac{40}{50}[/tex]

Divide 40 by 50

[tex]P(B | A) = 0.80[/tex]

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80

Read more about probabilities at:

https://brainly.com/question/251701

YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:

If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?

If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?

Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?

Answers

Answer:

Step-by-step explanation:

Question 1

Answer:   (1, -0.5)

----------------------

Explanation:

The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2

(-2+4)/2 = 2/2 = 1

The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.

We'll use this idea for the y coordinates as well. Add them up, then divide by 2.

Add: 4+(-5) = -1

Divide by two:  -1/2 = -0.5

The y coordinate of the midpoint is -0.5

Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)

For more info, check out the midpoint formula.

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

Question 2

Answer:  (0, 0.5)

----------------------

Explanation:

We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.

Add the x coordinates for each point: -5+5 = 0

Divide in half: 0/2 = 0

The x coordinate of the midpoint is 0

Repeat for the y coordinates.

Add: 5+(-4) = 1

Cut in half: 1/2 = 0.5

The y coordinate of the midpoint is 0.5

We get the midpoint (0, 0.5) which is where the two pets meet.

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

Question 3

Answer: Approximately 1 yard

----------------------

Explanation:

Apply the distance formula for the results of the previous two questions.

So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]

Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.

Answers

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.

Convert the time completely hours. Then we have

T = 3 + 20/60

T = 3.33 hours

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be

D = 49 x 3.33

D = 163.33 miles

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Can anyone help me with the first question? It’s for my study guide I would really appreciate it

Answers

The answer would be Quadratic

What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.

Answers

Answer:

67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal

Hope this helped :)

Step-by-step explanation:

Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list

Answers

Answer:36 is this 2nd grade?

Step-by-step explanation:

Write the slope intercept equation of the line that passes through (2,5) and (-1,3)​

Answers

Answer:

y=2/3x+11/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(-1-2)

m=-2/-3

m=2/3

y-y1=m(x-x1)

y-5=2/3(x-2)

y=2/3x-4/3+5

y=2/3x-4/3+15/3

y=2/3x+11/3

8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+

Answers

Answer:

a) -x2 , -(x2)

b)3x-7 , (3x) - 7

c) -2x+8 , -(2x-8)

Find the volume
of the rectangular prism.
3 m
7 m
4 m

Answers

Answer:

The volume is 63m³

Step-by-step explanation:

Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.

l•w•h= 4•7•3 = 84. good luck

a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere

Answers

Answer:

24

the formula of sphere is

[tex]v = \frac{4}{3} {r}^{3} [/tex]

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]

We can cancel

We can cancel π from each side.

[tex]2304 = \frac{4}{3} {r}^{3} [/tex]

Multiply both sides by

[tex] \frac{3}{4} [/tex]

hope I help you ☺️❤️


How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?

Answers

Answer:

14 Pounds

Step-by-step explanation:

35 / 12 = 2.9167

being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.

Simplify: -6(x + 4) ​

Answers

Answer:

A) -10x - 24

Step-by-step explanation:

1. To simplify this expression, we apply the distributive property.

[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]

Therefore, the answer is A) -10x - 24.

Answer:

A) -10x-24

Step-by-step explanation:

[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]

[tex]a(b+c)=ab+ac[/tex]

what is the value of f(-8) in f(x)=-3x-9

Answers

The value will be .......15.......

f(x) = -3x - 9

Now, substitute -8 in the place of x.

f(x) = -3x - 9

f(-8) = - 3(-8) - 9

f(-8) = 24 - 9

f(-8) = 15

______

Hope it helps ⚜

Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}

Answers

Answer:

1: NOT A FUNCTIN

Step-by-step explanation:

A container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice will each team member get?

Answers

Answer:

1/6 gallon

Step-by-step explanation:

Total juice = 2/3 of container

Total people = 4

Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

=> 1/3 × 1/2

=> 1/6

The map shows the location of four places in a city:

Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.

Anna's house is in the same quadrant as the museum. Which of the following could be the coordinates of Anna's house?

(1, 4)
(−1, 4)
(1, −4)
(−1, −4)

Answers

Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

You can learn more about quadrants at https://brainly.com/question/25900520

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