at a dancing class, 11/20 of those present were girls. what percentage is this?

The rationing function of prices refers to ability of competitive forces of supply and demand to establish a price at which scarce goods or resources are allocated among different users or consumers.

The price serves as a mechanism,

To determine who gets access to a limited quantity of goods or resources when the demand exceeds the available supply.

When the demand for a particular good or resource is high and the supply is limited, the price tends to increase.

This increase in price acts as a signal to both consumers and producers.

On the consumer side, the higher price encourages individuals to reduce their demand or seek alternative substitutes.

As the higher price may make the good less affordable or desirable.

On the producer side, the higher price provides an incentive to produce more of the scarce good, as it becomes more profitable.

Through this interplay of supply and demand, the price helps to allocate the limited resources efficiently.

Those who value the good or resource the most and are willing to pay the higher price will be able to obtain it.

While others who are not willing or able to pay the higher price may choose to forgo the purchase.

In this way, the rationing function of prices helps to allocate resources based on individuals' willingness.

And ability to pay, ensuring that resources are distributed among those who value them the most.

Therefore, rationing function of prices refers to ability of supply and demand to establish a price at which scarce goods or resources are allocated among consumers based on their willingness and ability to pay.

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The rationing function of prices refers to the ability of supply and demand to establish prices which leads to an equilibrium where shortage or surplus is minimized, ensuring an efficient allocation of resources in a perfectly competitive market.

The rationing function of prices refers to the ability of the competitive forces of supply and demand to establish a price at which selling and buying occurs in a way that gross imbalance does not occur. This characteristic of a market is called allocative efficiency. In a perfectly competitive market, prices tend to be established where marginal cost crosses the demand curve. This point is sometimes regulated to ensure the firm produces the output at where marginal cost equals the price, which then benefits both consumers and the broader social interest. This situation assures consumers a higher quantity and lower price, and it results in the most efficient allocation of resources.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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The slope of line is infinity.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope.

Given points:

(-5, 9) and (-5, -5)

Now, slope of line = (-5 - 9)/ (-5 + 5)

slope= -14/ 0

slope= ∞

Hence, the slope of line is infinity.

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Answer:

I think its "Maria selected a multiple that is not the least of the common multiples"

Step-by-step explanation:

I think the real answer would be 30 because it the lowest number that they both share....

Answer: the answer is d, she selected a multiple that is not a least common multiple. The least common multiple is the number both sets of numbers share, which  would be 30.

Step-by-step explanation:

if this figure is rectangle then opposite side of rectangle are equal

perimeter= sum of all sides

156=5x-3+5x-3+4x+4x

156=18x-6

x=9

So length of side WX is 9. 4

WX= 36

Periodic with a period of 4 and amplitude of about 7.5. Hence, The correct answer is (C) periodic with a period of 4 and an amplitude of about 7.5.

How to determine the period and amplitude?

To determine if the given data set is approximately periodic, we need to plot the data on a graph and look for any repeating patterns.

From the graph, we can see that the data set is indeed approximately periodic, with a period of about 4 hours. We can observe a pattern where the number of bikes increases from hours 1 to 4, then decreases from hours 4 to 7, and then increases again from hours 7 to 10, before decreasing again from hours 10 to 1.

To find the amplitude, we need to find the difference between the maximum and minimum values of the data set. From the graph, we can see that the maximum value is around 22 and the minimum value is around 4. Therefore, the amplitude is approximately 22 - 4 = 18.

So, the correct answer is (C) periodic with a period of 4 and an amplitude of about 7.5.

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Answer:

periodic with period of 3 and amplitude of about 7.5

Step-by-step explanation:

I took the test and this was the correct answer.

A woman 5-feet tall casts an 8-foot shadow. at the same time of day, the shadow of a tree nearby is 120 feet long. in feet, 75 feet  tall is the tree.

Let the tree height = x

From the question, we have

5/8 = x/120

x = (5*120)/8

x = 75 feet

Tree height = 75 feet

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

a = 97° , b = c = 146°

Step-by-step explanation:

a and 83° are same- side interior angles and sum to 180°

a + 83° = 180° ( subtract 83° from both sides )

a = 97°

34° and b are same- side interior angles and sum to 180°

b + 34° = 180° ( subtract 34° from both sides )

b = 146°

b and c are corresponding angles and are congruent , so

c = b = 146°

Answer:

< a = 97 degrees.

< b = 146 degrees.

< c = 146 degrees.

Step-by-step explanation:

We have 2 lines crossing 2 parallel lines.

Internal angles between the 2 parallel lines add up to 180 degrees, so

34 + <b = 180

<b = 180 - 34 = 146 degrees

Also

<a + 83 = 180 degrees (also internal angles)

---> <a = 97 degrees

< c and < b are corresponding angles so are congruent, therefore

<c = < b = 146 degrees.

Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

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The equivalent equation for the expression y = 3x-6 is none.

Equivalent equation:

If the two equations are said to be equivalent when they have the same solution set. Then it is called as Equivalent equation.

Given,

Here we have the expression y = 3x-6

Now, we need to find the equivalent equation.

In order to find the equivalent equation, we have to take some sample values for x,

The sample value of x as 1, 2, 3

Now, we have to apply these values on the given expression first,

Then we get,

x = 1 => y = 3(1) - 6 = -3

x = 2 => y = 3(2) - 6 = 0

x = 3 => y = 3(3) -6 = 9

Now, we have to apply these to the given equation and which has the same value of the given expression,

x = 1 => 3(1) - 2y = 6 = -2y = 6 - 3 => y = -3/2

x = 2 => 3(2) - 2y = 6 = -2y = 6 - 6 => y = 0

x = 3 => 3(3) - 2y = 6 = -2y = 6 - 9 => y = 3/2

This is not equal one.

Move on to the second one,

x = 1 => 2(1) + 3y = -6 => 3y = -6 - 2 => y = -8/3

x = 2 =>  2(2) + 3y = -6 = 3y = -6 - 4 => y = -10/3

x = 3 =>  2(3) + 3y = -6 = 3y = -6 - 6 => y = -4

This is not a equivalent one.

Move on to the third expression,

x = 1 => 3(1) - 2y = 12 = -2y = 12 - 3 => y = -9/2

x = 2 => 3(2) - 2y = 12 = -2y = 12 - 6 => y = -3

x = 3 => 3(3) - 2y = 12 = -2y = 12 - 9 => y = -3/2

This is not a equivalent one.

Finally we have to use the last one, then  we get,

x = 1 => 2(1) - 3y = 18 => -3y = 18 - 2 => y = -16/3

x = 2 =>  2(2) - 3y = 18 => -3y = 18 - 4 => y = -14/3

x = 3 =>  2(3) - 3y = 18 => -3y = 18 - 6 => y = -4

Therefore, none of them are the equivalent one.

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False. When multiple people access the same access point (AP), the communication to the wired world is not limited to approximately 1 Mbps per user.

The available bandwidth is shared among the users connected to the AP, but the exact speed each user experiences depends on various factors such as the total bandwidth provided by the AP, the number of users actively utilizing the network, and the nature of their online activities.

The speed experienced by each user can fluctuate depending on network congestion and the type of traffic being generated. For example, if all users are engaging in bandwidth-intensive activities like streaming high-definition videos or downloading large files simultaneously, it can impact the overall network performance, resulting in slower speeds for each individual user. However, if the network is underutilized or the users are engaged in less demanding tasks, each user may experience higher speeds closer to the maximum capacity provided by the AP.

Therefore, the statement that communication to the wired world is limited to approximately 1 Mbps per user when ten people access the same AP is false. The actual speed experienced by each user will depend on various factors and can vary significantly.

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Overall, as a result of these transactions, the U.S. firm would be importing Japanese goods. Here's how the process works:

1. The U.S. firm exchanges dollars for yen: In this step, the firm converts its U.S. dollars into Japanese yen by participating in the foreign exchange market. This allows the firm to obtain the necessary currency to conduct business in Japan.

2. The firm uses yen to buy Japanese goods: With the acquired yen, the U.S. firm can now purchase goods from Japanese suppliers. These goods can vary depending on the nature of the firm's business, but they could include anything from electronics to automobiles.

3. Implications of importing Japanese goods: By purchasing Japanese goods, the U.S. firm is participating in international trade and importing these goods into the United States. This can have several implications, including contributing to the U.S. trade deficit (if imports exceed exports) and potentially impacting domestic industries.

It's important to note that this answer is based on the given information and assumes that there are no additional factors or influences at play.

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Answer:

2 5/23  gallons

Step-by-step explanation:

Answer:

2 5/23

Step-by-step explanation:

Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

\(A=\dfrac{a+b}{2}h\)

Where, \(a,b\) are parallel sides and \(h\) is the vertical distance between the parallel sides.

Putting \(a=28.7, b=22.3,h=16\) in the above formula, we get

\(A=\dfrac{28.7+22.3}{2}\times(16)\)

\(A=\dfrac{51}{2}\times 16\)

\(A=51\times 8\)

\(A=408\)

Therefore, the area of the trapezium is 408 square cm.

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer:

f(x) is the blue graph, g(x) is the red graph.

x^2 - 3x + 17 - (2x^2 - 3x + 1) = 16 - x^2

16 - x^2 = 0 when x = -4, 4

So the area between these two graphs is (using the TI-83 graphing calculator):

fnInt (16 - x^2, x, -4, 4) = 85 1/3

i have a question for u

Answer:

The probability is 0.0228

Step-by-step explanation:

We proceed by calculating the z-score value

Mathematically;

z-score = (x - mean)/SD

where x = 206, mean = 248 and SD = 21

Substituting these values, we have;

z-score = (206-248)/21 = -42/21 = -2

So the probability we want to calculate is;

P(z < -2)

We can use the standard normal distribution table for this;

P(z < -2) = 0.0228

Answer:

i need this as a percentage

Step-by-step explanation:

From the information given,

i. The equation for n in terms of x in its simplest form is 3x + 7 = n

ii. The number of stamps in the medium packet is 21

Algebraic expressions are known as expressions consisting of factors, coefficients, variables, constants and terms.

They expressions are also known to consist of arithmetic operations such as;

From the information given, we have that;

Now, let's equation the expressions to the total, we have;

x + (x + 3) + (x + 4) = n

Simplify further by expanding the bracket

x + x + 3 +x +  4 = n

collect like terms

3x + 7 = n

If the value of n is 61, we have

3x + 7 = 69

collect like terms

3x = 61 - 7

3x = 54

x = 54/ 3

x = 18

But we have that the number of stamps in the medium packet is

x + 3

Substitute the value of x

18 + 3

21 stamps

Thus, the equation for n in terms of x in its simplest form is 3x + 7 = n and the number of stamps in the medium packet is 21

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Answer: No, the pythagorean Theorem can only be done on right triangles.

Step-by-step explanation:

The surface area of the right rectangular prism with given dimensions is equal to 207.4 square centimeters.

Surface area of the right rectangular prism

= 2 ( length × width + width × height + height × length )

In the diagram,

length of the right rectangular prism = 6.7cm

Width of the right rectangular prism = 6.0cm

Height of the right rectangular prism = 5cm

Substitute the values in the formula we get,

Surface area of the right rectangular prism

= 2 × ( 6.7 × 6 + 6 × 5 + 5 × 6.7 )

= 2 × ( 40.2 + 30 + 33.5 )

= 2 ×  103.7

= 207.4 square centimeters.

Therefore, the surface area of the prism with length 6.7 cm , width 6.0 cm and height 5cm is equal to 207.4 square centimeters.

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

12.4 yd

Step-by-step explanation:

We use the Pythagorean Theorem

a² + b² = c²

Let's solve

3² + 12² = c²

9 + 144 = c²

153 = c²

c = 12.4 yd

Answer:

The missing side length of the given right triangle is 12.4 yd to the nearest tenth.

Step-by-step explanation:

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.

\(\boxed{a^2+b^2=c^2}\)

where:

As we have been given the lengths of both legs of the right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse.

Substitute a = 3 and b = 12 into the formula and solve for c:

\(\implies 3^2+12^2=c^2\)

\(\implies 9+144=c^2\)

\(\implies 153=c^2\)

\(\implies c=\sqrt{153}\)

\(\implies c=12.3693168...\)

\(\implies c=12.4\; \sf yd\;(nearest\;tenth)\)

Therefore, the missing side length of the given right triangle is 12.4 yd to the nearest tenth.

The height of the prism is 5x + 3 units.

What is volume?

A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

Given:

The volume of a rectangular prism is given by the expression

10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.

We have to find the height of prism.

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

And the  area of the base of the prism is given by the expression

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence, the height of the prism is 5x + 3 units.

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(a) After 4500 years, the sample will remain 3.9 mg.

(b) The sample will remain 15 mg after 1369 years.

The result is obtained by using the exponential decay equation.

The exponential decay equation can be used to calculate radioactive decay for the activity, the nuclei, and also the mass. The exponential decay equation for the mass is

\(m = m_{o} e^{-\lambda t}\)

Where

The half-life of radium-226 is 1600 years and the mass of a sample is 27 mg.

(a) What is the remaining mass after 4500 years?

(b) What is the decay time if the remaining mass is 15 mg?

First, let's calculate the decay constant.

λ = 0.693/T½

λ = 0.693/1600

λ = 0,000433

After 4500 years, the remaining mass is

\(m = m_{o} e^{-\lambda t}\)

\(m = 27 e^{-0.000433 \times 4500}\)

m = 27 × 0.142

m = 3.8 mg

If the remaining mass is 15 mg, the decay time is

\(m = m_{o} e^{-\lambda t}\)

\(15 = 27 e^{-0.000433 t}\)

\(ln \frac{15}{27} = ln (e^{-0.000433 t})\)

\(ln \frac{15}{27} = -0.000433 t\)

-0.588 = - 0.000433t

t = 1357.9 years

Hence,

(a) After 4500 years, the sample will remain 3.9 mg.

(b) The sample will remain 15 mg after 1369 years.

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The probability of not drawing a purple one is, 1/2

We have,

There are 6 marbles in a bag, 3 purple, 4 red, and 2 black.

Hence,

Total number of marbles = 6

And, Number of purple = 3

So, the probability of drawing a purple one = 3 / 6

                                                                   = 1/2

Hence, the probability of not drawing a purple one is,

= 1 - 1/2

= 1/2

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The surface area of the rectangular prism is 52 cm². Similarly, you can find the surface area of other nets by adding up the area of each face.

To find the surface area of a net, you need to determine the area of each face and add them up. Let's take an example of a rectangular prism net. The rectangular prism has six faces, each being a rectangle. To find the surface area, you need to determine the area of each rectangle face and add them up. Let's say the length, width, and height of the prism are 2 cm, 3 cm, and 4 cm, respectively. The area of each rectangle face is lw, lh, and wh. So, the total surface area is:

lw + lw + lh + lh + wh + wh = 2lw + 2lh + 2wh
= 2(2x3) + 2(2x4) + 2(3x4)
= 12 + 16 + 24
= 52 cm²

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Answer: C)2

Step-by-step explanation:

Probably right, something similar on Cuemath

Answer: D

Step-by-step explanation:

I don’t know how to explain this to you step by step but when it comes to questions like this try to think more “logically” (if that makes sense) especially if you’re not familiar with the topic, like me. Think about it, if it was the first one the line on the graph would be above the middle line (its addition plus its greater than y so that wouldn’t be correct). Now the second one is subtraction but its less than y and everything thats coloured goes up not down so it has to be greater than y. C is not the correct answer because its a regular equation and thats not what the question wants plus its the only question out of the the 4 answers which is completely the odd one out so you can just cancel that out. Mow we come to the last answer which is the correct answer because it follows all the right “points” I mentioned earlier. I hope this makes sense to you, sorry I couldn’t explain it better!