A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel?

Answers

Answer 1

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s

Answer 2

The linear velocity of a point on the edge of the wheel is π/2 feet per second.

In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.

The circumference of a circle is given by the formula

C = 2πr, where r is the radius of the circle.

So, the circumference of the wheel is 2π(1) = 2π feet.

Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:

Linear velocity = Circumference / Time = 2π feet / 4 seconds

Linear velocity = π/2 feet per second

So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.

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Related Questions

Gymnastics lessons cost $10 per session, plus a one-time fee of $25. Shawn went to 7 sessions. Write an equation that can be used to find how much Shawn paid ?

Answers

Answer: y=10x+25

y=10(7)+25

=70+25

=$95

Step-by-step explanation:

The graph of the invertible function f is shown on the grid below.

What is the value of f -1(6)?

Answers

We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of  [tex]y=f(x)[/tex].

We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.

So to find inverse of a function we need to switch all x and y values.

We can see that [tex]f(4)=6[/tex], so to to find value of  [tex]f^{-1}(6)[/tex], we have to switch x and y values.

After switching x and y values, we will get:

[tex]f^{-1}(6)=4[/tex]

Therefore, [tex]f^{-1}(6)=4[/tex].

Answer:

4

Step-by-step explanation:

Help timed test! At which root does the graph...

Answers

Answer:

x = -2

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

To find where it will touch the axis set the factor equal to zero and solve.

(x + 2) = 0

subtract 2 from both sides

x = -2

100 POINTS

PLEASE PROVIDE STEPS.

THANK YOU!!!

Answers

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

f(x) = sin x

The average value of a function between x=a and x=b is:

avg = 1/(b−a) ∫ₐᵇ f(x) dx

avg = 1/(π−0) ∫₀ᵖⁱ sin x dx

avg = 1/π (-cos x) |₀ᵖⁱ

avg = 1/π (-cos π − (-cos 0))

avg = 1/π (1 + 1)

avg = 2/π

h(x) = x⁴/12 − x²/6

Find the second derivative.

h'(x) = x³/3 − x/3

h"(x) = x² − ⅓

Factor using difference of squares.

h"(x) = (x − 1/√3) (x + 1/√3)

h"(x) = 0 when x = ±1/√3.  Evaluate the sign of h"(x) in each interval.

-∞ < x < -1/√3, h"(x) > 0.

-1/√3 < x < 1/√3, h"(x) < 0.

1/√3 < x < ∞, h"(x) > 0.

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem

Answers

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

Answer:1.225km is equal to each laps

Step-by-step explanation:

What is the vertex of the graph of the function f(x) = x2 + 8x - 2 ?
(-4, 18)
(0, -2)
(-8, -2)
(-4, -18)

Answers

Answer: (-4,-18)

Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.

The vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

What is the vertex of the graph of a quadratic function?

In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,

Given that:

f(x) = x² + 8x - 2

where;

a = 1b = 8c = - 2

By using the vertex formula to find the x-value;

[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]

[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]

x = -4

So,

y = (-4)² + 8(-4) - 2

y = 16 -32 -2

y = -18

Therefore, the vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

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If r(x) = 3x -1 and s(x) = 2x + 1, which is equivalent to [r/s] (6)?

Answers

[tex]\text{Solve by turning it into a fraction and plugging in the value to x:}\\\\\frac{3x-1}{2x+1}\\\\\frac{3(6)-1}{2(6)+1}\\\\\frac{18-1}{12+1}\\\\\frac{17}{13}\\\\\text{You can't simplify the fraction any further, in which it'll conclude your answer}\\\\\boxed{\frac{17}{13}}[/tex]

If a zero is
then the graph of its function only touches the x-axis at that zero.
Ifa zero is
then the graph of its function crosses the x-axis at that zero.

Answers

Answer: The first one is of even multiplicity and the second one is of odd multiplicity.

Answer:

even

odd

Step-by-step explanation:

What is the disciminant of 3x^2-10x=-2

Answers

Answer:

76

Step-by-step explanation:

First get the equation into the form

ax^2 +bx+c =0

3x^2-10x+2=-2+2

3x^2-10x+2 =0

The discriminant is

b^2 -4ac  where a=3  b = -10 c =2

(-10)^2 - 4(3)(2)

100 - 24

76

Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?

Explain your thinking here:

write your answer here: ​

Answers

explanation : if two half cups is 1 cup . then you just multiply by 2 to get how many half cups of juice she would need .

Answer:

10

Step-by-step explanation:

3+2 = 5

5x2 (Because only half cups)

= 10

A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of 205°. What bearing should the pilot use (to the nearest second) and how far must she travel(to the nearest of a mile) to make it back to her starting position?

Answers

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?

Answers

Answer:

1.5x+4

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Distribute

[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]

[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]

[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]

Step 2:  Combine like terms

[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]

[tex]1.5x + 4[/tex]

Answer:  [tex]1.5x + 4[/tex]

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. x=2 ± √13

Explanation:

What is the value of LaTeX: 4^{-3}
4

3
?

Answers

Answer:

  1/64

Step-by-step explanation:

  [tex]4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot 4\cdot 4}=\boxed{\dfrac{1}{64}}[/tex]

Answer:

13

Step-by-step explanation:

=4^-3 . 4 - 3

= 4^-3+1  -3

= 4^-2  -3

= 16-3

= 13

find the value of x in the triangle shown below ​

Answers

Answer:

..........

Step-by-step explanation:

x + 114 + 33 = 180

x= 33

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student

Answers

Answer:

a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.

PLS HELP ASAP !!!! Giving brainlist!

Answers

First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.

Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.

Answer:

1) Associative property

2) Commutative property

Plz help me find the area of this polygon

Answers

Answer:

It is 4

Step-by-step explanation: To find the area you multiply the numbers.

how do i solve 4/5 divided by 3/4
what is the answer please help

Answers

Answer:16/15 or 1 1/15

Step-by-step explanation:

4/5 ➗ 3/4

4/5 x 4/3

(4 x 4) ➗ (5 x 3)

16 ➗ 15=16/15 or 1 1/15

The length of a rectangle is seven less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.

Answers

Answer:

Length is 3 meters and the Width is 5 meters

Step-by-step explanation:

L*W=15

L=2W-7

(2W-7)W=15

[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]

(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.

W=5, L=3

There are 12 inches in 1 foot. Write 75 inches in feet and inches

Answers

84/12 is 7 so it’s 7 feet and to find out how many inches, you have to subtract 84-75 which is 9 that that’s 9 inches

7 feet and 9 inches

Answer:6.25

Step-by-step explanation:

g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer

Answers

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

David is preparing a report to show

Answers

Answer:

cool?

who's david den

Step-by-step explanation:

Answer:

He shoud use a table or chart.

Step-by-step explanation:

I answered this question before

If 2 pounds of steak can serve 5 people how many pounds will serve 13 people

Answers

Step-by-step explanation:

wait sorry that was wrong

Answer:

5.2

Step-by-step explanation:

The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.

Identify two ways that native Americans resisted being relocated

Answers

Answer:

Tortured and kidnapped white colonists, and some started wars.

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)

Answers

Answer:

32

Step-by-step explanation:

you just have to divide 131/4 to get 32.75 but  they all have to be equal

Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.

Thus, the number of biscuits she should give to each of her poodles is,

Number of biscuits each poodle gets

= Number of biscuits / Number of poodles

= 131 / 4

= 32.75

Hence, the number of biscuits that each of the four poodles will get is 32.75.

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The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?​

Answers

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

3, 4 and 55, 12 and 139, 40 and 41

Note that in a Pythagorean Triple,

The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

Sam wants to measure the amount of water in a full bathtub.
Which is the best unit of measurement for Sam to use?
What’s the answer

Answers

Probably liters, all the others are too big or too small.                                                                                                        

Can someone help me please

Answers

it would affect the mean the most

What is 9/40 as a percentage

Answers

Answer:

22.5%

Step-by-step explanation:

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