the radius of a wheel rolling on the ground is 80 centimeters. if the wheel rotates through an angle of 60, how many centimeters does it move? express your answer in terms of pand then round to two decimal places.

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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Answer: 34 panthers 13 Giants

Step-by-step explanation: 47 - 13= 34 which will equal the panthers now find what number with 34 would equal 47. so that means, 34+13= 47

Answer:

8 hours. maybe 8×4

Step-by-step explanation:

I'm not sure on the last part though

For the given function f(x) = 2x + 5 and g(x) = ( 2x + 5) -3 , affects of value of k on slope and y-intercept is as follow:

Slope of both function remain same, there is no affect of value of k on slope.

Change in the value of y-intercept . For f(x) y-intercept is 5 and for g(x) y-intercept is 2.

Graph is attached.

As given in the question,

Given functions are :

f(x) = 2x + 5

g(x) = ( 2x + 5) -3

From the graph of both the functions,

Let us consider two pairs of coordinate to find the slope,

For f(x)

(0,5) and ( -2, 1)

Slope of f(x) = ( 1- 5) / (-2 -0)

                    = 2

For g(x)

(0 ,2) and (-1, 0)

Slope of g(x) = ( 0-2) / (-1-0)

                     = 2

Slope remain unaffected.

y-intercept of f(x) , put x = 0

⇒ y = 5

y-intercept of g(x) , put x = 0

⇒ y =(0+ 5) -3

      = 2

Change in the value of y-intercept due the value of k = -3.

Therefore, for the given function f(x) = 2x + 5 and g(x) = ( 2x + 5) -3 , affects of value of k on slope and y-intercept is as follow:

Slope of both function remain same, there is no affect of value of k on slope.

Change in the value of y-intercept . For f(x) y-intercept is 5 and for g(x) y-intercept is 2.

Graph is attached.

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The measure of this angle in degrees is 20.52 degrees.

Step by step explanation:Given data is,1/360th of the circumference of the circle is 0.59 cm long Arc length, s = 103.25 cm We need to find the measure of the angle in degrees. Since we know that, the angle subtended by an arc at the center of the circle is 2θ, where θ is the angle subtended by the arc at any point on the circumference of the circle.And the circumference of the circle is 360θ.

Hence, we can find the length of the circumference of the circle. Circumference of the circle = 360 × 0.59Circumference of the circle = 212.4 cmNow, we can find the radius of the circle.r = s/2πr = 103.25/(2 × π) = 16.441 cmDiameter of the circle = 2 × rDiameter of the circle = 32.882 cmThe circumference of the circle = πdCircumference of the circle = π × 32.882Circumference of the circle = 103.26 cm Now, we can find the angle of the circle. Angle of the circle = 360θ103.26 = 360θθ = 103.26/360θ = 0.286 degrees So, the measure of this angle in degrees is 20.52 degrees.

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Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12*y-(24)=0

Step 1: Pulling out like terms

Pull out like factors :

  4x - 12y - 24  =   4 • (x - 3y - 6)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

Solve   x-3y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333  

Geometric figure: Straight Line

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Answer:

Step-by-step explanation:

f(x) = -2(x+3)^2 -1 would be the fourth graph because its translated 3 to the left, negative, and 1 down

f(x)=2(x+3)^2+1 would be the first graph since it's translated 3 to the left, positive, and shifted 1 up

f(x)=-2(x+3)^2+1 would be the second graph since it's translated 3 to the right, negative, and shifted 1 up

f(x)=2(x-3)^2+1 would be the third graph since it's translated 3 to the right, positive, and shifted 1 up

Therefore, the probability that the sample mean cholesterol level is less than 190 is approximately 0.23%.

We can use the central limit theorem to approximate the distribution of the sample mean cholesterol level as normal with a mean of 202 and a standard deviation of 41/sqrt(100) = 4.1.

To find the probability that the sample mean cholesterol level is less than 190, we can standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values, we get:

z = (190 - 202) / (4.1) = -2.93

Now we can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.93. The probability is approximately 0.0023 or 0.23%.

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The equation for the graph in the interval is y = 3/2x - 1/2

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(-1, -2) and (3, 4)

The equation of the line is calculated as

y = mx + c

Where

c = y when x = 0

Using the points, we have

-m + c = -2

3m + c = 4

Subtract the equations

-4m = -6

So, we have

m = 3/2

This means that

y = 3/2x +c

Next, we have

3/2 * 3 + c = 4

This gives

c = -1/2

Hence, the equation of the line is y = 3/2x - 1/2

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Answer: 84

Step-by-step explanation:

Bhamini =

42 x 6 = 25.2

25.2 x 1/3 = 84

Chas =

252.84 - 42 = 126

Bhamini gets £84!

Hope this answered your question, don't ell Mr Gohil I helped you lol.

Answer provided by Zack.

For given function g(x) = x^4 - 2x^3 - 3x the value of x such that g'(x) = 12 is x = 2.24

In this question, we have been given a function g(x) = x^4 - 2x^3 - 3x

We need to find the value of x such that g'(x) = 12

First we find the derivative of given function g(x) with respect to x

g'(x) = 4x³ - 6x² - 3

When g'(x) = 12

4x³ - 6x² - 3 = 12

4x³ - 6x² - 3 + 3 = 12 + 3

4x³ - 6x² - 15 = 0

After solving given polynomial we get,

x = 2.24

Therefore,  the value of x is 2.24

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Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

\(V_A = Length * Base * Height\)

Where

\(Length \to a\)

\(Base \to b\)

\(Height \to h\)

So:

\(V_A = abh\)

For Prism B, we have:

\(Volume = Base\ Area * Height\)

Where

\(Base\ Area = Length * Base\)

and

\(Length = a\)

\(Base = b\)

So:

\(Base\ Area = a * b\)

\(Base\ Area = a b\)

The volume is then calculated as:

\(Volume = Base\ Area * Height\)

\(V_B = ab * Height\)

Where

\(Height \to h\)

So:

\(V_B = ab * h\)

\(V_B = abh\)

By comparison:

\(V_A = V_B = abh\)

Answer: -32

Step-by-step explanation: -14 - 6 - 12 = -32

Answer:

a=6 b=4 3=2.55555555567

Answer:

4. 3/10

Step-by-step explanation:

I believe it would be answer 4 because there are 10 coins in all and 3 pennies, making the ratio 3:10

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

Difference = 13.9 m/s

Step-by-step explanation:

Speed of an object = distance traveled/time taken

Jamal takes 36 seconds to skate 500 m rink. Let his speed is v. So,

\(v=\dfrac{500\ m}{36\ s}\\\\=13.89\ m/s\)

Tory takes 40 seconds to skate 500 m rink. Let his speed is v'. So,

\(v'=\dfrac{500\ m}{40\ s}\\\\=12.5\ m/s\)

The difference in their speeds,

D = 13.89 - 12.5

= 1.39 m/s

Hence, the difference in their speeds is 13.9 m/s.

Common resources are those that are available to everyone and not owned by any individual or group. Examples include air, water, fish in the ocean, and even public parks. Since no one owns them, there is no direct incentive for any individual to conserve or protect these resources.

In fact, the opposite is often true - individuals may feel that they have a right to use these resources as much as they want, leading to overuse and overconsumption. This is known as the tragedy of the commons, where individuals act in their own self-interest, leading to the depletion of a shared resource. To avoid this, it is important to have regulations and policies in place to encourage responsible use of common resources and prevent overuse and overconsumption.

The answer is A) True
Common resources refer to natural or man-made resources that are not individually owned but are available to everyone in a community. Since these resources are not owned by any specific person or organization, there is a lack of control and regulation over their use. This lack of ownership creates an incentive for people to overuse and overconsume these resources, as individuals may want to take advantage of the resources before others do.

This overuse and overconsumption can lead to depletion or degradation of the common resources, making them less available or useful for future generations. In order to prevent this outcome, it is essential to implement proper management and conservation strategies that help maintain the sustainability and accessibility of these shared resources for all users.

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

The solution is Option B.

The base of the triangle is given by the equation B = 4 inches

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the base of the triangle be represented as B

The length of the rectangle L = 9 inches

The width of the rectangle W = 8 inches

Now , the area of the rectangle = length x width

So , the area of rectangle = 9 x 8 = 72 inches²

And , area of triangle = ( 1/4 ) area of rectangle

Area of triangle = 72/4 = 18 inches²

And , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

18 = ( 1/2 ) x 9 x B

On simplifying the equation , we get

The base of the triangle B = ( 18 x 2 ) / 9

The base of the triangle B = 4 inches

Hence , the base of the triangle is 4 inches

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As per the congruency theorem, the two triangles are congruent.

Congruency theorem:

Congruency theorem states that "if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other."

Given,

Here we need to prove that  congruency theorem can be used to prove that △wut ≅ △vtu.

Let us consider triangles WUT and VTU.

And in these triangles:

=> WU≅VT

And in those one, ∠T≅∠U,

Therefore, m∠T = m∠U = 90°

Here the side TU is common.

Now, we have to note that triangles WUT and VTU are right triangles, because m∠T = m∠U = 90°.

Then the side TU is common leg and sides WU and VT are hypotenuses.

Therefore, the HL theorem states: if the hypotenuse (WU) and one leg  (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.

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Answer: HL

Step-by-step explanation:

In the given  isosceles triangle, the measure of angle G is 74 degrees.

In the given problem, we are dealing with an isosceles triangle where angle G measures 74 degrees. It is mentioned that EF and FG are congruent, indicating that triangle EFG is isosceles.

Since EFG is an isosceles triangle, we can conclude that angles E and G are congruent. Therefore, we can set the measure of angle E equal to the measure of angle G and solve for x.

By setting 4x + 50 (measure of angle E) equal to 14x + 30 (measure of angle G), we have the equation 4x + 50 = 14x + 30.

Solving for x, we find that x = 2.

Now that we have the value of x, we can substitute it into each angle measure to determine their values.

The measure of angle E (mE) is given by 4x + 50, which becomes 4(2) + 50 = 58 degrees.

The measure of angle F (mF) is given by 2x + 60, which becomes 2(2) + 60 = 64 degrees.

Finally, the measure of angle G (mG) is already known to be 74 degrees.

Therefore, the measures of the angles in the isosceles triangle are: mE = 58 degrees, mF = 64 degrees, and mG = 74 degrees.

By understanding the properties of isosceles triangles and utilizing algebraic equations, we can determine the measures of the angles in the given triangle.

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Answer:

It should be 114.

Step-by-step explanation:

114 / 3 = 38

Answer:

12?

Step-by-step explanation:

I think so..

Is it Wrong?

Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.

f(x)=ax3+bx2+cx+d, where  0 and the coefficients a, b, c, and d are complex numbers, and where the variable x has real values. In other words, it is both a three-degree polynomial function and a real function.

Here,

Our role in this situation is:

y = ∛(x - 5) (x - 5)

so the cubic root is given.

In this case, we see that when x = 0, we have:

The y-intercept is y = -5.

And if x = 5, we get:

Because of the sign change, the x-intercept and inflection point are both equal to  y = ∛0 = 0 

Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.

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Answer:

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

Given:

First, convert the two side length as below:

Now find the third side:

Hence the third side is 5√7 feet.

Step-by-step explanation:

on the first step, where the student subtracted the two equations, when they subtracted 3y - y, they got 4y, but they were supposed to get 2y.

If they did it right it would look like this

 2x + 3y = 8

-(2x  +  y = 16)

0x + 2y = -8

y = -4

2x - 4 = 16

2x = 20

x = 10

Solution (10,-4)

You must find the error, I will correct their work.

This is a system of linear equations. To solve it, you can use the substitution method. First, you can solve the first equation for x and substitute it into the second equation:

2x + 3y = 8

2x = 8 - 3y

x = (8 - 3y) / 2

2((8 - 3y) / 2) + y = 16

8 - 3y + 2y = 16

5y = 8

y = 8 / 5

Then, you can substitute y into the first equation:

2x + 3(8 / 5) = 8

2x = 8 - 24 / 5

2x = 16 / 5

x = 16 / 10

Therefore, the solution to the system of linear equations is x = 16/10 and y = 8/5.

Here is a sample correction to this (paraphrase):

When you tried to solve the system of linear equations, you likely made a mistake when solving one of the equations for a variable or when substituting the values into the equations. To ensure that you get the correct solution, you should double-check your work and make sure that the values you get satisfy the original equations.

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The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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