A piece of a string is 40cm long . What will be of each side if the string is used to form a square ?

Note that given the above scenario, Modern Multiplex and Sticky Shoe offer substitute services.

To determine whether Modern Multiplex and Sticky Shoe offer services that are substitutes or complements, we need to analyze the relationship between the two theaters' demand functions.

Looking at the demand functions for each theater:

QMM= 14 −PMM+ PSS

QSS= 8 −2PSS+ PMM

We can see that the quantity demanded at Modern Multiplex is affected by the price of Modern Multiplex tickets (PMM) as well as the price of Sticky Shoe tickets (PSS).

On the other hand, the quantity demanded at Sticky Shoe is affected by the price of Sticky Shoe tickets (PSS) as well as the price of Modern Multiplex tickets (PMM).

If the cross-price elasticity of demand between Modern Multiplex and Sticky Shoe is positive, then the two theaters offer substitute services.

Conversely, if the cross-price elasticity of demand between the two theaters is negative, then the two theaters offer complementary services.

To calculate the cross-price elasticity of demand, we need to take the partial derivative of the quantity demanded at one theater with respect to the price of the other theater, while holding all other variables constant. In this case, we get:

Cross-price elasticity of demand for Modern Multiplex with respect to Sticky Shoe:

∂QMM/∂PSS = 1 > 0

Cross-price elasticity of demand for Sticky Shoe with respect to Modern Multiplex:

∂QSS/∂PMM = 1 > 0

Thus, since the cross-price elasticity of demand between the two theaters is positive in both cases, we can conclude that Modern Multiplex and Sticky Shoe offer substitute services.

This means that as the price of tickets at Modern Multiplex increases, consumers will switch to Sticky Shoe, and vice versa.

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Full Question:

There are two movie theaters in the town of Harkinsville: Modern Multiplex, which shows first-run movies, and Sticky Shoe, which shows movies that have been out for a while at a cheaper price. The demand for movies at Modern Multiplex is given by QMM= 14 −PMM+ PSS, while the demand for movies at Sticky Shoe is QSS= 8 −2PSS+ PMM, where prices are in dollars and quantities are measured in hundreds of movie-goers. Modern Multiplex has a per-customer cost of $4, while  Sticky Shoe has a per-customer cost of only $2

From the demand equations alone, what indicates whether Modern Multiplex and Sticky Shoe offer services that are substitutes or complements?

The inverse transformation T⁻¹ takes the point (x, y, z) to (2z - x, y - z, x - y).

The inverse transformation T⁻¹ of a linear transformation T is defined as the transformation that undoes the action of T. That is, if T takes a point (u, v, w) to (u + v + w, u + v, u), then T⁻¹ will take the point (u + v + w, u + v, u) back to (u, v, w).

To find what T⁻¹ does to the point (x, y, z), we need to solve the system of equations:

u + v + w = xu + v = yu = z

Substituting the third equation into the first two equations gives us:

v + w = x - zv = y - z

Subtracting the second equation from the first equation gives us:

w = x - y

Substituting the equations for v and w back into the first equation gives us:

u + (y - z) + (x - y) = xu = 2z - x

So, the inverse transformation T⁻¹ takes the point (x, y, z) to (2z - x, y - z, x - y).

Therefore, T⁻¹(x, y, z) = (2z - x, y - z, x - y).

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Answer:

2160°

Step-by-step explanation:

n stands for the number of sides

(n-2)180

(14 - 2) 180

(12)180 = 2160

Helping in the name of Jesus.

The standard deviation of the given probability distribution is 2.3.

To calculate the standard deviation, we use the following formula:
Standard Deviation = √((x1-μ)2*p1 + (x2-μ)2*p2 + ... + (xn-μ)2*pn)

Where x1, x2, ... , xn are the values of the random variable and p1, p2, ... , pn are their corresponding probabilities.

In the given probability distribution, μ = 4 and the values of x and p are: x = 0, 2, 4, 6, 8 and p(x) = 0.2, 0.05, 0.35, 0.25, 0.15 respectively.

Plugging these values into the formula gives us: Standard Deviation = √((0-4)2*0.2 + (2-4)2*0.05 + (4-4)2*0.35 + (6-4)2*0.25 + (8-4)2*0.15) = 2.3.

Therefore, the standard deviation is 2.3.

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Answer: D

Step-by-step explanation:

The people that were surveyed are not a good representation of the population as a whole, since they came from a pop music program, which means they will predominantly favor pop music programs. If the sample was taken from a more general setting, this would be different.

Answer: C.

Step-by-step explanation:

The statement "75% of people like to watch pop music programs on TV" is misleading because the sample used to make this claim is biased. Specifically, the sample consists only of people leaving a pop music program, which means that it likely includes a higher proportion of people who enjoy pop music than the general population. Therefore, the statement is not representative of the overall population's viewing habits, and it cannot be generalized beyond the specific sample used in the survey.

Option C is the correct answer, as it correctly identifies the bias in the sample. People who attend pop music programs are more likely to be fans of pop music, and thus more likely to watch pop music programs on TV, than the average TV viewer. This means that the survey results would overestimate the proportion of people who like to watch pop music programs on TV in the general population.

The baseball will hit the ground in 0.64 seconds.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given,

Initial height of the baseball = 4 feet

That is, when t = 0, h = 4

The path of the ball is given by the equation,

h = -16t² + 4t + 4

Since the equation is quadratic, the path of the ball will be a parabola.

The height of the ball will be 0, when it hit the ground.

-16t² + 4t + 4 = 0

-4t² + t + 1 = 0

4t² - t - 1 = 0

Discriminant = √(1 - (4 × 4 × -1) = √17

t = (1 ± √17) / 8

t = 0.64 or t = -0.39

Since the time can't be negative, t = 0.64 seconds

Hence the ball hits the ground in 0.64 seconds.

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Answer:

Step-by-step explanation:

soo then what is the question??

The expression is evaluated to give 36

Note that algebraic expressions are defined as expressions composed of terms, variables, constants, coefficients and factors.

These expressions are also identified with arithmetic operations, such as;

addition, subtraction, multiplication, division,  bracket, parentheses.

From the information given, we have that;

z²+yx+ z

Given that;

z = 5,  y = 2, x = 3

Substitute the values, we get;

(5)² + 2(3) + 5

find the square

25 + 6 + 5

Add the values

36

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Answer:8

Step-by-step explanation

first-do x over a hunded and 0.76 over 9.50

then cross multiply to get 9.50x=76

next divide 9.50 from both sides and get the variable alone so...

you divided 76 by 9.50

to get

8

The formula to calculate the hardness of water (in ppm) can be written as: Hardness= (2.497 [tex]*[/tex] Cal + 4.118 [tex]*[/tex] Mg) [tex]*[/tex] [tex]10^6[/tex]

where Cal and Mg are amounts of calcium (Ca2+) and magnesium(Mg2+) in ppm, respectively.

To calculate the hardness of water in parts per million (ppm), you need to first determine the concentrations of calcium and magnesium ions in the water. Then, multiply the concentrations of each ion by the corresponding hardness coefficient.

The hardness coefficient for calcium is 0.04, and the hardness coefficient for magnesium is 0.07. Finally, add the two values together to get the total hardness in ppm.

For example, if the calcium concentration is 5ppm and the magnesium concentration is 3ppm, then the total hardness of the water is            (0.04 x 5ppm) + (0.07 x 3ppm) = 0.32ppm.

The hardness of water in parts per million (ppm) is 0.32ppm

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(a) The velocity of the stone after 1 second is 7.34 m/s.

(b) The velocity of the stone after it has risen 15 meters is -3.43 m/s.

(a) To find the velocity of the stone after 1 second, we need to take the derivative of the height function with respect to time:

h(t) = 9t - 0.83t^2

v(t) = dh/dt = 9 - 1.66t

So, the velocity of the stone after 1 second is:

v(1) = 9 - 1.66(1) = 7.34 m/s

Therefore, the velocity of the stone after 1 second is 7.34 m/s.

(b) To find the velocity of the stone after it has risen 15 meters, we need to solve the height function for t when h = 15:

h(t) = 9t - 0.83t^2 = 15

0.83t^2 - 9t + 15 = 0

Using the quadratic formula, we can solve for t:

t = (-(-9) ± sqrt((-9)^2 - 4(0.83)(15))) / (2(0.83))

t ≈ 6.58 s or t ≈ 1.05 s

Since we're looking for the velocity after the stone has risen 15 meters, we need to use the positive value for t:

v(t) = 9 - 1.66t

v(6.58) ≈ -3.43 m/s

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The given question is incomplete, the complete question is:

If a stone is thrown vertically upward from the surface of the moon with a velocity of 9 m/s, its height (in meters) after t seconds is h = 9t − 0.83t2. (Round your answers to two decimal places.)

(a) What is the velocity of the stone after 1 s?

(b) What is the velocity of the stone after it has risen 15 m?

The least-square regression equation for yield in bushes and the average temperature is option (c)  y = -0. 8 + 0. 9x

To find the least-square regression equation for the given sample data, we can use a statistical software or do the calculations manually. The calculations involve finding the slope and y-intercept of the line that best represents the relationship between the yield and average temperature.

After performing the calculations, we get the least-square regression equation for the given sample data, which is y = -0.8 + 0.9x. This equation tells us that for every one unit increase in the average temperature, the yield of crops increases by 0.9 bushels per acre. The y-intercept (-0.8) represents the yield of crops when the average temperature is zero, which is not practically possible.

Therefore, the correct answer to the question is option C, y = -0.8 + 0.9x.

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Explanatory Answer:

If x and y vary inversely, it means that their product remains constant. We can express this relationship using the formula:

x * y = k

where k is the constant of variation.

To find k, we can use the initial values of x and y given in the problem. When x = 1 and y = 11, we have:

1 * 11 = k

k = 11

Now we can use the value of k to find x when y = 5.5:

x * y = k

x * 5.5 = 11

Dividing both sides by 5.5, we get:

x = 11/5.5

Simplifying the expression, we get:

x = 2

Therefore, when y = 5.5, x = 2.

The cost of the makeup artist will be written as Cost(x) = 50 + 30x.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

We can use the following function to describe the total cost to hire the makeup artist for x hours:

Cost(x) = 50 + 30x

Here, x represents the number of hours that the makeup artist will work, and Cost(x) represents the total cost of hiring the makeup artist for x hours.

Therefore, the cost will be represented by Cost(x) = 50 + 30x.

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The next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

To find the time at which all three lights will flash at the same time, we need to find the LCM (Least Common Multiple) of the given times.

Prime factorizing each time, we get:

6 = 2 x 3

15 = 3 x 5

21 = 3 x 7

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers:

2 x 3 x 5 x 7 = 210

Therefore, the next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

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The expected value of the mean of the 64 randomly selected students, M, is 0.794 percent correct

Since the sample size is relatively large (n=64) and the population standard deviation is known, we can use the Central Limit Theorem to approximate the distribution of sample means as normal with a mean equal to the population mean (µ) and a standard error equal to the population standard deviation divided by the square root of the sample size (σ/√n).

Thus, the expected value of the mean of the 64 randomly selected students, M, is:

E(M) = µ = 0.794 percent correct

Therefore, the expected value of the mean is 0.794 percent correct

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The given question is incomplete, the complete question is:

A professor of cognitive psychology is interested in the percent accuracy on this memory encoding task among college students. She measures the percent accuracy for 64 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average percent accuracy on this memory encoding task among college students is 0.794 percent correct with a standard deviation of 0.1110 percent correct. The expected value of the mean of the 64 randomly selected students, M, is___ (Note: use mean and/or standard deviation just given to calculate the expected value of M.)

The correct answer to when interpreting Cohen's d, it's important to remember that, is: (C) : all of the above.

When interpreting Cohen's d, it's important to remember that Cohen's suggestions for small, medium, and large effects are only general rules of thumb, and what counts as a small, medium, or large effect varies quite a bit by field.

Therefore, it is probably best to consider an effect size relative to other similar findings in the field. In summary, all the options listed are important considerations when interpreting Cohen's d, and none of them should be overlooked. Hence, the correct answer is option (C).

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The final equation formed for the given word problem is: 10x + 25.

Sum states to add numbers:

Let the given number be 'x'.

Then,

[3 times (x+4)]+[7 times (x+13)]

Using distributive property on each terms:

a(b+c) = ab+ac

3(x+4) = 3x+12

7(x+13) = 7x+13

Thus, adding both:

3x + 12 + 7x + 13

Adding variables and constant separately.

10x + 25

Thus, the final equation formed for the given word problem is: 10x + 25.

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The compete question is-

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen. Find the equation formed.

⇒To check if the given point (2,-8) is the solution to the system you should have a general knowledge that 2 is the input that is represented by variable x and -8 is the output variable represented by letter y.

⇒Now to check if the point is a solution we will have to check for both cases  ....y<x-1 and .....y>-x+2

x=2 and y=-8 in the system y< x-1

LHS=-8

RHS=(2)-1

RHS=1

-8<1

The result is true for the first inequality

for the second system inequality

x=2 and y=-8

LHS=-8

RHS=-(2)+2

RHS=-2+2

RHS=0

-8<0 but in the inequality it is saying that -8>0 which is not true but False

⇒As a conclusion point (2,-8) is not a solution to the system as it does not apply to both the conditions.

⇒The answer is no.

The mass of a plate with radius 4 and a radial density given by rho(x)=e^(x2−12) is b. π(e^4-e^(-12) ).

To find the mass of the plate, use the formula for the mass of a plate with radial density:
M = ∫∫ρ(r) r dr dθ
Where M is the mass of the plate, ρ(r) is the radial density, r is the radius, and θ is the angle.

Given that the radial density is ρ(x)=e^(x2−12) and the radius is 4, we can plug these values into the formula:
M = ∫∫e^(r2−12) r dr dθ

We can solve this integral by first integrating with respect to r:
M = ∫(1/2)(e^(r2−12))(r^2) dθ

Integrate with respect to θ:
M = (1/2)(π)(e^(r^2−12))(r^2)

Finally, we can plug in the value of r=4 and simplify:
M = (1/2)(π)(e^(4^2−12))(4^2)
M = (1/2)(π)(e^4-e^(-12))(16)
M = π(e^4-e^(-12))

Therefore, the mass of the plate is b. π(e^4-e^(-12) ).

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answer: -1.3, 1.1, 2.1, 2.3

Step-by-step explanation:

When ordering these numbers from least to greatest it is important to start by looking for negatives first. As -1.3 has a negative sign it is the smallest number. Next we should look at the ones place. Since 2 is bigger than 1 the next number would be 1.1.

After we should look at the tenths place since 2.1 is smaller than 2.3 is would go

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1 - [tex]\frac{1}{3} -\frac{1}{6}[/tex]

1 - [tex]\frac{2}{6} -\frac{1}{6}[/tex]

[tex]\frac{3}{6}[/tex]

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

hope this helps and I'm really sorry if I miss understood the question

Answer:  C

Step-by-step explanation:

400 multiply by 2 equals 800

and then 800 subtracted by 400 will be 400

and 400 subtracted by 1 will be 399.

Therefore, answer is C

We get that the closest answer choice to our estimate is option B, $1,734.25. Therefore, B is the best answer.

Let's assume that the profit function is linear, which means that the profits rise or fall in proportion to the quantity of tickets sold at a constant rate. Using the data for two of the days, we can then determine the equation for the profit function:

We can get the slope of the line using the points (300, P1) and (407, P2), where P1 and P2 are the earnings for Monday and Tuesday, respectively.

slope equals (P2 - P1)/ (407 - 300)

The equation for the profit function can then be found by using the point-slope form of a linear equation:

Slope = P - P1 (x - 300)

where x is the total number of tickets sold and P is the profit from those tickets.

By entering x = 90 into this equation, we can determine the profit for Wednesday:

P=P1 plus slope (90 - 300)

The total profit may then be calculated by adding the profits from each of the three days:

Profit total = P1 + P2 + P

Afterwards, we may assess this expression using the provided answer options to determine which one is most similar to our estimate.

Our calculations show that option B ($1,734.25) is the choice that comes closest to our estimate. Hence, the optimum response is B.

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The percent of change from June to September is -24.50% We can find it in the following manner.

To determine if the percent of change in time is an increase or a decrease, we need to compare the two times and see which one is larger.

June time: 7 minutes and 45 seconds, or 465 seconds

September time: 5 minutes and 51 seconds, or 351 seconds

To find the percent of change, we use the following formula:

percent change = (new value - old value) / old value * 100%

So, plugging in the values we get:

percent change = (351 - 465) / 465 * 100%

percent change = -114 / 465 * 100%

percent change ≈ -24.52%

Therefore, The percent of change from June to September is -24.50%

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Answer:

-3.5

Step-by-step explanation:

This is the answer.

1. Green rectangle and blue square have equal corresponding angles.

2. Proportion of green rectangle sides is same as in Blue parallelogram.

3. Green rectangle is similar to blue rectangle.

In mathematics, when two shapes have the same shape but different sizes, these are called similar shapes. In geometry, two similar shapes such as similar triangles, similar rectangles, and similar squares are shapes that have the same dimensions or have common proportions but have different sizes or side lengths. The common ratio is called the scale factor. Furthermore, the corresponding angles have the same measure.

Given,

Figures of square, rectangle, rhombus and parallelogram.

1. Not similar but corresponding angles are equal in measures.

Blue square has corresponding angles equal in measures to green rectangle.

2. Not similar but side lengths are proportional

Blue parallelogram side lengths has same proportion as side lengths of green rectangle

3. similar

Blue rectangle is similar figure to green rectangle.

Hence, Blue square is figure that has corresponding angles are equal to green rectangle. Blue parallelogram has proportion of side length equal to green rectangle, Blue rectangle is similar to green rectangle.

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The conversion factor we used is (1 meter / 100 centimeters), which allowed us to convert 600 centimeters to 6 meters.

To convert 600 centimeters to meters, we can use this conversion factor as a fraction and set up the equation as follows:

600 centimeters x (1 meter / 100 centimeters) = meters

In this equation, the units of centimeters cancel out, leaving us with the unit of meters, which is what we want to find. The fraction (1 meter / 100 centimeters) represents the conversion factor we're using, and it allows us to convert from centimeters to meters.

Now, we can simplify the equation by multiplying 600 by the fraction (1 meter / 100 centimeters):

600 centimeters x (1 meter / 100 centimeters) = (600 x 1) meters / 100

This gives us:

600 centimeters = 6 meters

Therefore, the conversion factor we used is (1 meter / 100 centimeters), which allowed us to convert 600 centimeters to 6 meters.

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The scatter plot correctly shows the data and the line of best fit for the data is the 2nd scatter plot graph.

Data can be graphically represented using a scatter plot. A simple scatter plot uses the coordinate axes to plot the points in accordance with their values.

One of the most practical developments in statistical graphs, according to some, is the scatter plot.

In the given figure,

The scatter plot shows an increasing value of one variable and a decreasing value for another variable as the value of television model decreased over time.

We might therefore say that there is a negative association.

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