2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x-2y=-7
x = 2, y = 7
x = 5, y = 2
>
x= 3, y=5
x = 7, y=3

Answer:

\((312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09\)

Answer:

$75.54

Step-by-step explanation:

30% of 251.80 is 75.54 hope that helped :3

HP's pricing strategy allows them to capture a larger customer base, create customer loyalty and long-term profitability.

HP uses the 'razor' and 'blade' model. Here, Laser printer is sold at a lower price while the consumables (printer cartridges) are sold at higher profit margins. This strategy aims to create a recurring revenue stream from the sales of consumables, which have higher profit margins compared to the initial printer sale.

By relying on the sales of consumables, HP diversifies its revenue streams. While printer sales may have lower profit margins, the higher profit margins from consumables help offset those costs and contribute to overall profitability. This reduces HP's reliance on a single revenue source and improves financial stability.

Therefore , HP is leaning towards a scheme which aims at long-term profitability.

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Answer:

A med - A small = (36 - 16)pi inch^2

= 20 pi inch^2

Step-by-step explanation:

Area of medium pizza = 6^2 pi

Area of small pizza = 4^2 pi

A med = 36 pi inch^2

A small = 16 pi inch^2

A med - A small = (36 - 16)pi inch^2

Edited :sorry i thought that 8 and 12 where radiuses

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

D i got it wrong and that was the correct answer

Step-by-step explanation:

If the negative exponents of expression  4a*2b-2/16a-3b then we will get 8ab.

An expression is a combination of numbers, symbols, fraction, coefficients, indeterminants, etc. It is usually not expressed in equal to form. It expresses some relationship between variables.

The expression which is given is 4a*2b-2/16a-3b

We have to solve the expression as under:

4a*2b-2/16a-3b=8ab-1/8a-3b

Now we have to eliminate the negative exponents which are 1/8a and 3b and we have to eliminate them and the left out expression is 8ab.

Hence we will get 8ab if we eliminate negative exponents of 4a2b-2/16a-3b.

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\(\\ \bull\tt\dashrightarrow Scale\: factor\)

\(\\ \bull\tt\dashrightarrow Ratio\:of\:sides\)

\(\\ \bull\tt\dashrightarrow \dfrac{2}{1}\)

\(\\ \bull\tt\dashrightarrow 2\)

Answer:

Since the length of second polygon of second one is twice of first one

So

Scale factor is 2.

The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.

The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.

After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.

Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.

Sketch the market demand, marginal costs, and marginal revenues.

Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.

Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.

The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.

Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.

Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.

The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.

Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .

What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.

The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.

At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.

Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.

The subsidy reduces the marginal cost to (1/2) Q - $10.

Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

Therefore, the deadweight loss falls.

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To show that expression P(X=n) = \((1/2)^{(n-1)\), where X is a Poisson random variable with mean λ and λ has an exponential distribution with mean 1, we can use the following steps:

First, we need to find the probability density function of λ, denoted as f(λ), which is given as:

f(λ) = e^(-λ), λ > 0

Since λ has an exponential distribution with mean 1, we have:

λ = E[λ] = 1

Next, we need to find the probability mass function of X, denoted as P(X=n), which is given as:

P(X=n) = e^(-λ) * (λ^n / n!), n = 0, 1, 2, ...

Substituting λ = 1, we get:

\(P(X=n) = e^{(-1)} * (1^n / n!), n = 0, 1, 2, ...\)

Next, we can simplify the expression for P(X=n) by using the property of the exponential function, which is:

\(e^{(-1)\) = 1/e

Substituting this into the previous equation, we get:

P(X=n) = (1/e) * (\(1^n\) / n!), n = 0, 1, 2, ...

Next, we can simplify the expression for P(X=n) by using the property of the factorial function, which is:

n! = n * (n-1)!

Substituting this into the previous equation, we get:

P(X=n) = (1/e) * (1/1) * (1/2) * (1/3) * ... * (1/n), n = 0, 1, 2, ...

Finally, we can simplify the expression for P(X=n) by using the property of the geometric series, which is:

\(1/2 + 1/4 + 1/8 + ... + 1/2^{n-1} = (1/2)^{n-1\)

Substituting this into the previous equation, we get:

P(X=n) = (1/e) * \((1/2)^{n-1\), n = 0, 1, 2, ...

Therefore, we have shown that P(X=n) = \((1/2)^{(n-1)\), where X is a Poisson random variable with mean λ and λ has an exponential distribution with mean 1.

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Answer:

21

Step-by-step explanation:

\( \frac{25}{100} \times 84\)

Answer:

21

Step-by-step explanation:

By using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

In Mathematics, there are different types of functions and these include the following;

A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:

y = logₐₓ

y = log₁₀10

y = log₁₀10 = 1.  

Therefore, if log₁₀x < 1, then, x < 10.  Also, if log₁₀x > 1, then, x > 10.

For this exercise, you should take note of this deductive points:

In conclusion, by using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.

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Answer:tinham em cada onibus 55 alunos

Step-by-step explanation:

9 alunos tiveram que viajar de carro ,ou seja apenas 330 alunos foram de onibus , 339-9 igual a 330 .

Depois de conseguir esse resultado divida o numero de alunos (330) por numero de onibus (6) o resultado sera 55.

Answer:

13) (-2,-3)  14) (7,-4)   15) (-8,7)

Step-by-step explanation:

13) y=8x+13

   -4x-5y=23

use substitution

-4x-5(8x+13)=23

distribute -5 in the parenthesis

-4x-40x-65=23

-44x-65=23

add 65 on both sides

-44x=88

divide both sides by -44

x=-2

for y...

y=8(-2)+13

y=-16+13

y=-3

answer is (-2,-3)

14) -3x-y=-17

y=-4x+24

use substitution

-3x-1(-4x+24)=-17

distribute the -2 in the parenthesis

-3x+4x-24=-17

x-24=-17

add 24 on both sides

x=7

for y...

y=-4(7)+24

y=-28+24

y=-4

answer is (7,-4)

15)5x+4y=-12

   y=-2x-9

use substitution

5x+4(-2x-9)=-12

distribute 4 in the parenthesis

5x-8x-36=-12

-3x-36=-12

add 36 on both sides

-3x=24

divide both sides by -3

x=-8

for y...

y=-2(-8)-9

y=16-9

y=7

answer is (-8,7)

Answer:

n= 8

Step-by-step explanation:

13 = 5+n

is the same as

5+n= 13

transpose

n=13-5

n= 8

hope it helps

Answer: A =350 (1.05)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form; 5/100=0.05)

t= years

A = population after t years

Replacing with the values given:

A = 350 (1+0.05)^t

A =350 (1.05)^t

Feel free to ask for more if needed or if you did not understand something.

Answer:

82 is your answer

Step-by-step explanation:

3x6 = 18

8x8=64

18+64=82

Answer:

82 m²

Step-by-step explanation:

The blue figure is composed of a square ( on the right ) and a rectangle on the upper left )

Area of blue figure is the sum of the 2 areas , that is

Area = (8 × 8) + (6 × 3) = 64 + 18 = 82 m²

The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.

To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (nCk) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the number of trials

k is the number of desired successes

p is the probability of success in a single trial

(1-p) is the probability of failure in a single trial

In this case, we have:

n = 5 (number of days in the week)

k = 5 (desired number of rainy days)

p = 0.36 (probability of rain each day)

Using the formula, we can calculate the probability:

P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)

Simplifying the equation:

P(X = 5) = 1 * 0.36^5 * 0.64^0

P(X = 5) ≈ 0.036

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add answer:

step-by-step:

Answer:269.6 square centimeters

Step-by-step explanation:

Answer:

I am not good in maths but I think it is

A 1/4

A model's scale ratio is the ratio of linear dimensions. The scale factor of the triangle is (1/2).

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

The scale ratio of the triangle can be found by taking the ratio of any one side of the dashed triangle to the solid triangle. Therefore, the scale ratio will be,

\(\rm Scale\ ratio = \dfrac{\text{Length of the dashed line}}{\text{Length of the solid line}}\\\\ Scale\ ratio = \dfrac{2}{4} = \dfrac{1}{2}\)

Hence, the scale factor of the triangle is (1/2).

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The construction is missing, so i have attached it.

Answer:

Use the incenter to determine the center to construct the circle.

Step-by-step explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.

It would take approximately 2.86 gallons of standard interior latex paint to cover 1000 square feet with one coat, but this estimate may vary depending on several factors.

To determine the amount of paint needed to cover 1000 square feet, several factors must be considered, including the type of paint being used, the surface being painted, and the number of coats required.

Assuming a standard interior latex paint with a coverage rate of approximately 350 square feet per gallon, it would take approximately 2.86 gallons of paint to cover 1000 square feet with one coat. However, it is important to note that this is just an estimate and may vary depending on the specific circumstances of the project.

Factors such as the porosity and texture of the surface being painted, as well as the color and quality of the paint being used, can all affect the coverage rate. Additionally, if multiple coats are required or if there are areas that require more than one coat for complete coverage, more paint will be needed.

It is always recommended to consult with a professional painter or refer to the manufacturer's instructions for specific guidance on how much paint is needed for a particular project.

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Answer:

173.832

Step-by-step explanation:

we can split this shape into 8 triangles so lets find the area of 1

1/2(7.243)(6)

3(7.243)

21.729

and now multiply by 8

173.832

hopes this helps please mark brainliest

The coordinates of B are (r, 0).

In a rectangle, opposite sides are parallel and equal in length. Since A and D are on the bottom line, and B and C are on the top line with B over A, the height of the rectangle remains constant. Therefore, the y-coordinate of B is the same as the y-coordinate of A, which is 0.

The x-coordinate of B is the same as the x-coordinate of C, which is r. Therefore, the coordinates of B are (r, 0).

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The correct option is C) Valid; because points A, B, and C are non collinear, they must determine plane G.

For the given question;

Given: If three points are noncollinear, they determine a plane. Points A, B, and C lie in plane G.

Conclusion: Points A, B, and C are non collinear.

Thus, the option C best described the given situation as, Valid; because points A, B, and C are noncollinear, they must determine plane G.

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The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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==============================================

Explanation:

The left endpoint is -2. The right endpoint is 10. Both endpoints are open holes, meaning we do not include them as part of the green shaded solution region. If x is a solution, then the solution can be described as \(-2 < x < 10\) which converts to the interval notation \((-2, 10)\). The curved parenthesis says "do not include the endpoint".

Note: this is not ordered pair notation (x,y). Unfortunately math tends to reuse symbols so it might be a bit confusing at first.

Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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