Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. A. Find the circumference of the tire.
B. About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)

Answers

Answer 1

Answer:

A. The circumference of the tire is approximately 7.854 feet.

B. The tire rotates about 672 times to travel 1 mile.

Step-by-step explanation:

A. The circunference (\(s\)), measured in feet, in terms of diameters is defined by the following formula:

\(s = \pi \cdot D\) (1)

Where \(D\) is the diameter of the tire, measured in feet.

If we know that \(D = 2.5\,ft\), then the circunference of the tire is:

\(s = \pi\cdot (2.5\,ft)\)

\(s \approx 7.854\,ft\)

The circumference of the tire is approximately 7.854 feet.

B. The value found in A. represents the distance travelled by the tire per revolution. Then, the number of revolutions (\(n\)), no unit, associated to the distance travelled is calculated by this expression:

\(n = \frac{s}{\pi\cdot D}\) (2)

If we know that \(s = 5280\,ft\) and \(D = 2.5\,ft\), then the number of revolutions done by the tire to travel 1 mile is:

\(n = \frac{5280\,ft}{\pi\cdot (2.5\,ft)}\)

\(n \approx 672.270\)

The tire rotates about 672 times to travel 1 mile.


Related Questions

26. Consider the irregular figure.
. 10 cm
14 cm
4 cm
4 cm
- 4 cm T
4 cm
- 16 cm
What is the area of the figure?
Write the answer in the box.
cm?

Answers

Answer:

10 cm

Step-by-step explanation:

im smart

pls answer ASAP pls the quarter ends at 12:00

pls answer ASAP pls the quarter ends at 12:00

Answers

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

please can someone teach me how to round off to hundred​

Answers

Answer:

So if you have a 165 so the 5 is half of 10 so the 6 will got up but if you have 133 the three is lower then 5 so it would round down

Step-by-step explanation:

anyone here can someone help me plz plz I will give a Brainiest

anyone here can someone help me plz plz I will give a Brainiest

Answers

Answer:

Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1

In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
-2
3
6

Answers

The answer to the question is 6

Answer:

6

Step-by-step explanation:

The reason you would do 6 is because you need to isolate the  variable term.

This means you need the variable and its coefficient alone. so if you subtract 6 from each side of the equation you can achieve that goal. So the equation would then read -2x= -9 (because you combine the like terms of -6 and the -3 that was already there)

If you need to complete the rest of the equation you would divide both sides by -2 to further isolate x. This means x= 9/2 (since they are both negative they cancel each other out turning it positive) and the simplified answer would be 4  1/2

Hope this helps <3

Helpppp plz!!!! Bout to FINSH

Helpppp plz!!!! Bout to FINSH

Answers

A
if i’m not mistaken

Answer:

A

Step-by-step explanation:

Which of the number(s) below are potential roots of the function?
q(x) = 6x3 + 19x2 – 15x – 28

+2/3


+7/2

+1/7

±6

±14

+3/5

Answers

1st 2nd 4th and last one I think

Answer:

It's 1, 2 and 5

Step-by-step explanation:

I just did the quiz :)

please help me on this will give you brainliest

please help me on this will give you brainliest

Answers

Answer:

876

Step-by-step explanation:

since i helped can i have brainlist please :D

Find the gradients of lines A and B.​ NEED ASAP

Find the gradients of lines A and B. NEED ASAP

Answers

Answer:

For a straight-line graph, pick two points on the graph. The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 .

Step-by-step explanation:

DONT WORRY

Answer:

8 and - 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2.5, 14) ← 2 points on line A

\(m_{A}\) = \(\frac{14+6}{2.5-0}\) = \(\frac{20}{2.5}\) = 8

Repeat with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (2, 0) ← 2 points on line B

\(m_{B}\) = \(\frac{0-8}{2-0}\) = \(\frac{-8}{2}\) = - 4

the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false

Answers

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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What is the vertex of f(x)=x+8-3

Answers

Answer:

The absolute value vertex is  

( − 8 , − 3 ) .

Step-by-step explanation:

What two-dimensional cross sections could be obtained from a right rectangular prism?


Select the three correct answers.
Circle
Square
Ellipse
Parabola
Rectangle,
Parallelogram that is not a square or a rectangle

Answers

Answer:

Square

Rectangle

Step-by-step explanation:

not a pro at shapes.

1. Carly bought 7 folders that cost $0.15 cents each and 2 packages of pens
that cost $1.50 each. What is the total cost in dollars and cents of the folders
and pens, not including tax?

Answers

the correct answer is 4.05

A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 6 ft from the wall

Answers

At the instant when the bottom of the ladder is 6 ft from the wall and sliding away at a rate of 1 ft/sec, the top of the ladder is sliding down the wall at a rate of -3/4 ft/sec.

Let's denote the distance between the top of the ladder and the ground as y and the distance between the bottom of the ladder and the wall as x. We are given that dx/dt = 1 ft/sec and want to find dy/dt when x = 6 ft.

According to the Pythagorean theorem, we have the equation

\(x^2\) + \(y^2\) = \(10^2\).

Differentiating both sides with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 0.

Substituting the given values, we have:

2(6)(1) + 2y(dy/dt) = 0.

Simplifying the equation, we get:

12 + 2y(dy/dt) = 0.

Now, we can solve for dy/dt:

2y(dy/dt) = -12,

dy/dt = -6/y.

To find dy/dt when x = 6 ft, we substitute x = 6 into the equation:

dy/dt = -6/y = -6/8 = -3/4 ft/sec.

Therefore, the top of the ladder is sliding down the wall at a rate of -3/4 ft/sec when the bottom of the ladder is 6 ft from the wall.

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7 1/2 divided by 3/5

Answers

Answer:

12.5

Step-by-step explanation:

what would be 8/1 x 1/2

Answers

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

\(8\times \dfrac 12 = 4\)

Solve and check the following equation. 3x−6=9+2x What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation has a single solution. The solution set is : B. The solution set is {x∣x is a real number }. C. The solution set is ∅.

Answers

In summary, the equation 3x - 6 = 9 + 2x can be solved to find a single solution, which is x = 15. This means that when we substitute 15 into the equation, it holds true.

To explain the solution, we start by combining like terms on both sides of the equation. By subtracting 2x from both sides, we eliminate the x term from the right side. This simplifies the equation to 3x - 2x = 9 + 6. Simplifying further, we have x = 15. T

his shows that x = 15 is the value that satisfies the original equation. To confirm, we can substitute 15 for x in the original equation: 3(15) - 6 = 9 + 2(15), which simplifies to 45 - 6 = 9 + 30, and finally 39 = 39. Since both sides are equal, we can conclude that the solution is indeed x = 15.

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how does DIAMETER of wire affect:
Strength
range
stiffness

Answers

The diameter of a wire significantly impacts its strength, range, and stiffness.


1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

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PLEASE HELP ME. I WILL GIVE CROWN

PLEASE HELP ME. I WILL GIVE CROWN
PLEASE HELP ME. I WILL GIVE CROWN
PLEASE HELP ME. I WILL GIVE CROWN

Answers

Answer:

h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r

Step-by-step explanation:

At what point do the lines y = x - 8 and y y = - 3x + 16 (4, - 4) (3 ) (0, 16) (2) (11, 3) ( ) (6, - 2)

Answers

Answer:

(6, -2)

Step-by-step explanation:

Correct question

At what point do the lines y = x - 8 and y = - 3x + 16 intersects?

Equating both expressions;

x - 8 = -3x+16

Collect like terms

x+3x = 16+8

4x = 24

x = 24/4

x = 6

Substitute x = 6 into any of the equation

Recall that y = x - 8

y = 6 - 8

y = -2

Hence the point (x, y) where they intersects is at (6, -2)

(+5)+(-2)+(+20)
solve

Answers

Answer:

5(x-2)^2=20

5(x^2-4)=20

5x^2-20=20

5x^2-20-20=0

5x^2-40=0

5x^2+0x-40=0

Step-by-step explanation:

hope this is helpfull

A toy company recently added some made-to-scale models of racecars to their product line. The length of a certain racecar is 19 ft. Its width is 7 ft. The width of the


die-cast replica is 1. 4 in. Find the length of the model.


Let x be the length of the model. Translate the problem to a proportion. Do not include units of measure.


Length - x = Length


Width -


Width


(Do not simplify. )


H-1

Answers

Answer:

Step-by-step explanation:

Since the length of the actual racecar is 19 feet, and the length of the model is represented by x, we can set up the following proportion:

Length (model) / Length (actual) = Width (model) / Width (actual)

This can be written as:

x / 19 ft = 1.4 in / 7 ft

To solve for x, we can cross-multiply and simplify:

x * 7 ft = 19 ft * 1.4 in

x = (19 ft * 1.4 in) / 7 ft

x = 3.8 in

Therefore, the length of the model is 3.8 inches.

To explain this solution in more detail, we can use proportionality concepts and unit conversions. The proportion relates the length and width of the actual racecar to the length and width of the model.

We set up the proportion with the length of the model as the unknown (x) and solve for it by cross-multiplying and simplifying. Since the width of the model and actual racecar are given in different units, we convert the width of the model from inches to feet before using the proportion.

The final answer is expressed in inches, which is the same unit as the width of the model.

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1/4=something 8 plz help me

Answers

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

how many different ways can 11 player soccer team be selected if there are 16 players trying out for tthe team?

Answers

There are 4,368 different ways to select an 11-player soccer team from a group of 16 players.

What is combination formula?

The combination formula is used to determine the number of ways to select items from a collection where the order of selection is irrelevant.

We can use the combination formula to determine the number of ways to select an 11-player soccer team from a group of 16 players. The combination formula is:

n choose k = n! / (k! * (n - k)!)

where n is the total number of items, k is the number of items to choose, and ! denotes the factorial function (i.e., the product of all positive integers up to and including the argument).

In this case, we want to choose k = 11 players from a group of n = 16 players. Therefore, the number of ways to select an 11-player soccer team from a group of 16 players is:

16 choose 11 = 16! / (11! * (16 - 11)!) = 4368

Therefore, there are 4,368 different ways to select an 11-player soccer team from a group of 16 players.

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ZA and B are vertical angles. If m_A = (3x + 13) and mZB = (5x + 9), then find the measure of ZA.

Answers

EXPLANATION:

The first thing to do is graph the given points of the equation to find the position of the angles.

A=(3X+13)

B=(5X+9)

Both equations to find the angle z should give me a total of 180 degrees

By adding and joining both equations, we have the following:

\(\begin{gathered} (3x+13)+(5x+9)=180 \\ 3x+13+5x+9=180 \\ 3x+5x=180-13-9 \\ 8x=180-22 \\ 8x=158 \\ x=\frac{158}{8} \\ x=19.75 \end{gathered}\)

Now plugging the value of x into the first equation to find the angle A gives us:

\(\begin{gathered} A=3(19.75)+13 \\ A=59.25+13 \\ \textcolor{#FF7968}{A=72.25}\text{\textcolor{#FF7968}{ DEGREES}} \\ The\text{ measure }of\text{ the angle A is: 72.25} \\ \end{gathered}\)

To check if the measure of angle A is correct, we must also replace x in the second equation to find the value of angle B, which has to give us exactly what is missing to complete the 180 degrees.

\(\begin{gathered} B=5(19.75)+9 \\ B=98.75+9 \\ B=107.75 \\ \text{Now adding the angles A y B should give us 180 }degrees. \\ \textcolor{#FF7968}{A=72.25} \\ B=107.75 \\ AB=\textcolor{#FF7968}{72.25}+107.75=\textcolor{#FF7968}{180}\text{\textcolor{#FF7968}{ degrees.}} \end{gathered}\)

PLZ HELP NOW IM FAILING

PLZ HELP NOW IM FAILING
PLZ HELP NOW IM FAILING

Answers

Answer:

1.b

2.c

Step-by-step explanation:

f(x)+g(x)

3x-2+6-4x

-x+4

4-x. addition is commutative

3x²*4x/(3x2*2x)

2

Answer:

first one is B

second one is c

Step-by-step explanation:

A bag contains 48 marbles. The ratio of red marbles to black marbles is 5 to 3. How many RED marbles are in the bag?

Answers

Answer:

\(\huge\boxed{\sf 30\ marbles}\)

Step-by-step explanation:

Total marbles = 48

Ratio of red marbles to black marbles = 5 : 3

Total ratio = 5+3 = 8

Red Marbles:

= \(\sf \frac{5}{8} * 48\)

= 5 * 6

= 30 marbles

\(\rule[225]{225}{2}\)

Hope this helped!

~AH1807

Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249

Answers

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Determine the time intervals (in seconds) in which the particle moves in the positive direction and the negative direction. (Enter your answers using interval notation.) positive direction ______. negative direction______.

Answers

Given that, the function s(t) describes the motion of a particle along a line. s(t) = t³ − 13t² + 35t − 220

We need to find the time intervals in which the particle moves in the positive direction and the negative direction.

The given equation is s(t) = t³ − 13t² + 35t − 220

Taking the derivative,

v(t) = s'(t) = 3t² -26t + 35 = velocity at time t

s'(t) = 3t² -26t + 35 = 0

(3t -5)(t-7) = 0

t = 5/3 and 7 seconds

Therefore, the velocity > 0 when s'(t) > 0, when t>7 or t < 5/3 seconds

velocity <0 when 5/3 < t < 7 seconds

When moving in a positive direction, the intervals :-

(-∞, 5/3) ∪ (7, ∞)

When moving in a negative direction, the interval :-

(5/3, 7)

Hence, the time intervals are; positive direction (-∞, 5/3) ∪ (7, ∞) and negative direction (5/3, 7)

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The question was incomplete, so I solved for the question;

The function s(t) describes the motion of a particle along a line.

s(t) = t³ − 13t² + 35t − 220

(a) Find the velocity function v(t) of the particle at any time t ≥ 0.

(b) Identify the time interval(s) on which the particle is moving in a positive direction. (Enter your answer using interval notation.)

(c) Identify the time interval(s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.)

Tell which number is greater.

12/5, 245%

Answers

Answer:

245%

Step-by-step explanation:

12/5 = 2.4

245% = 245/100 = 2.45

2.45>2.4

⇒245% > 12/5

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