\(\left[\begin{array}{ccc}1&&10\\2&&15\\3&&20\end{array}\right]\)Whats the verbal rule and the tenth term?

Answer:

D. y=2x^2-1

Step-by-step explanation:

I tried plugging in the other equations with real numbers on the table, but the equations didn't works for more than one value.

Answer:solve for y

y -1/2x ≥ 4

y ≥ 1/2x + 4

The y intercept is 4, and the slope is positive, so the only graph with that conditions is B.

Step-by-step explanation:

The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."

The confidence interval represents a range of values within which the

population mean delivery time is likely to fall, based on the sample data.

It does not provide information about the delivery times of individual pizzas

or restaurants.

The confidence level refers to the percentage of times that the true

population mean would be expected to fall within the interval if the same

sampling procedure were repeated many times.

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Answer:

A. 8

Step-by-step explanation:

We are given the functions:

\(f(x)=\sqrt{x}\\\\g(x)=7x+b\)

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

\(f(g(x))=\sqrt{(7x+b)}\)

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

\(y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b\)

Therefore, the value of b is equal to 8.

Answer:

slope = \(\frac{3}{2}\)

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 ) = (- 2, 2) and (x₂, y₂ ) = (0, 5) ← 2 ordered pairs from the table

m = \(\frac{5-2}{0+2}\) = \(\frac{3}{2}\)

The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.

In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.

The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.

However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.

Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Solution

- The equation of a hyperbola is given s:

- Thus, we can find that:

Final Answer

The equation of the parabola is:

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer: θ=0.75448...πn

the measure of the angle between the vectors u and v is 45 degrees.

To find the measure of the angle between two vectors, u and v, we can use the dot product formula:

u · v = |u| * |v| * cos(θ)

where u · v is the dot product of u and v, |u| and |v| are the magnitudes of u and v respectively, and θ is the angle between u and v.

First, let's calculate the dot product of u and v:

u · v = (-7)(-4) + (0)(4) = 28

Next, let's calculate the magnitudes of u and v:

|u| = √((-7)² + 0²) = √49 = 7

|v| = √((-4)² + 4²) = √32 = 4√2

Substituting these values into the dot product formula:

28 = (7)(4√2) * cos(θ)

Now, solve for cos(θ):

cos(θ) = 28 / (7 * 4√2) = 2 / √2 = √2

To find the angle θ, we can take the inverse cosine (cos^(-1)) of √2:

θ = cos⁻¹(√2)

Using a calculator, the value of cos⁻¹(√2) is approximately 45 degrees.

Therefore, the measure of the angle between the vectors u and v is 45 degrees.

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Complete question is below

Find the measure of the angle between the two vectors. u = -7i and v = -4i + 4j

Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

The value of 'm' in the absolute value equation is 3

A linear equation can be described as an equation having the highest power of the variable as 1.

It is also referred to as a one-degree equation.

Example;

x + 1 = 4

Absolute value of a number can be defined as the value of that number irrespective of its direction to zero on the number line.

The value must take a positive sign.

The symbol used to represent the absolute value of a number is '| '

We have the equation;

|m-2|-1=4

Let's take the absolute value

m + 2 - 1 = 4

Now, collect like terms, we get;

m = 4 - 1

Add or subtract like terms

m = 3

Hence, the value is 3

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The complex nature of bureaucracies, combined with factors

such as autonomy, information asymmetry, and institutional resistance, makes it challenging to control them fully.

Combination of legislative oversight, executive control, judicial review, administrative procedures, and public participation

The bureaucracy can be controlled through various means, including,

Legislative Oversight,

The legislature, such as a parliament or congress, can exercise control over the bureaucracy through oversight mechanisms.

This includes holding hearings, conducting investigations, and reviewing agency budgets.

By closely monitoring bureaucratic actions and decision-making processes, the legislature can ensure accountability and transparency.

Executive Control,

The executive branch, which includes the president or prime minister.

Has the power to control the bureaucracy through appointments, policy directives, and administrative orders.

The executive sets the agenda and priorities for the bureaucracy, establishes goals, and monitors performance.

Judicial Review,

The judiciary plays a crucial role in controlling the bureaucracy through the power of judicial review.

Courts can examine bureaucratic actions and determine whether they comply with the law and constitution.

Judicial review acts as a check on excessive bureaucratic power and ensures adherence to legal principles.

Administrative Procedures:,

Implementing standardized administrative procedures and regulations can help control the bureaucracy.

These procedures define the decision-making processes, establish checks and balances, and provide guidelines for accountability.

Rules and regulations can prevent bureaucratic abuse and ensure consistency.

Public Participation and Feedback,

Engaging the public in the decision-making process and seeking their feedback can be an effective way to control the bureaucracy.

By involving citizens, civil society organizations, and interest groups, the bureaucracy can be held accountable to the people it serves.

Despite these control mechanisms, controlling the bureaucracy can be challenging due to several reasons,

Bureaucratic Autonomy,

Bureaucracies often have a degree of independence and discretion in implementing policies and carrying out their functions.

This autonomy can make it difficult for external actors to influence or control their actions.

Complexity and Size,

Bureaucracies are often complex and large organizations with multiple layers and departments.

Managing and controlling such complex systems can be a daunting task.

And it becomes challenging to ensure consistent control throughout the organization.

Information Asymmetry,

Bureaucracies possess specialized knowledge and expertise in their respective domains.

Which can create information imbalances between bureaucrats and external actors.

This information asymmetry can limit effective control and oversight by external actors who may lack the necessary expertise or information.

Institutional Resistance,

Bureaucracies develop their own organizational cultures, norms, and interests over time.

These institutional factors can lead to resistance to external control and influence.

Bureaucrats may seek to protect their autonomy, power, or resources, making it difficult to implement changes or reforms.

Political Interests and Influence,

Bureaucracies can be subject to political pressure and influence, both from within the government and external actors.

Political considerations and interests may sometimes override effective control mechanisms.

Leading to the manipulation of bureaucracy for partisan or personal gains.

Lack of Resources and Expertise,

Controlling the bureaucracy requires adequate resources, technical expertise, and capacity-building efforts.

Insufficient resources or a lack of expertise among external control mechanisms can hinder effective control over the bureaucracy.

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The average rate of change is equivalent to 2.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is the table as shown below -

[x] :  0  1  2  3  4

[y] :  -2 -3 1  3  6

The rate of change in the interval 0 < x < 4 is -

AROC = (6 + 2)/(4 - 0)

AROC = 8/4

AROC = 2

Therefore, the average rate of change is equivalent to 2.

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The measure of Supplementary angles is ∠1 is 59° and ∠2 is 121°.

The word "supplementary" refers to two angles coming together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another.

It has an acute angle on one side and an obtuse angle on the other.

The angles are both right angles.

Given ∠1 and ∠2 are supplementary angles,

let ∠ 1 = x°

∠1 + ∠2 = 180°

so ∠2 = 180 - x

angle 2 is 3° more than twice the measure of angle 1,

and ∠2 = 3 + 2x

substitute the values

∠2 = 180 - x

3 + 2x = 180 - x

2x  + x = 180 - 3

3x = 177

x = 177/3

x = 59°

∠2 = 180 - x

∠2 = 180 - 59

∠2 = 121°

Hence the value of ∠1 is 59° and ∠2 is 121°.

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The value of the probability P(z < -2.6) is 0.0046612

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

To calculate the probability P(z < -2.6), we make use of a graphing calculator

Using the above as a guide, we have the following:

P(z < -2.6) = 0.0046612

Hence, the value is 0.0046612

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Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

The polygon shape that possesses the bigger area from the two given is: Hexagon

Polygons are defined as closed shapes that are two-dimensional. They possess straight sides and have the same number of sides as they have angles. Polygons have names that relate to how many sides they have.

A hexagon has more sides than a pentagon.

A hexagon is a polygon that has six sides and a pentagon is a polygon that has five sides.

Now, the more sides the polygon has, the more area it covers inside the circle as it will obviously be wider.

Thus, we can infer that the hexagon will have a bigger area.

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

the triangle are equilateral

Number of  photos will be required to cover the area for the given data is 62,537

To determine the number of photos required to cover the given area, we need to calculate the area that each photo can cover.

Calculation of Ground Resolution (GSD)

The Ground Sampling Distance (GSD) is a measure of the resolution of the camera, which is the distance on the ground represented by each pixel in the image.

We can calculate the GSD using the formula:

GSD = (focal length / flying height) x (image dimension / ground dimension)

Here, the focal length is given as 6 inches.

The flying height can be calculated using the scale of the photograph, which is 1:6000. This means that one unit on the photograph represents 6000 units on the ground.

Therefore, 1 inch on the photograph represents 6000 inches on the ground.

Since the area to be covered is 6 x 6 mi2, we need to convert the area to inches:

1 mile = 5280 feet = 63360 inches

Area in inches = (6 x 63360) x (6 x 63360) = 144,998,400 square inches

To cover this area with a scale of 1:6000, we need a flying height of:

1 inch on the photograph = 6000 inches on the ground

Flying height = (1 / 6000) x focal length = 0.001 x 6 = 0.006 miles

To convert this to feet, we multiply by 5280:

Flying height = 0.006 x 5280 = 31.68 feet

Now we can calculate the GSD:

GSD = (6 / 31.68) x (9 / 63360) = 0.00000318 square inches

Calculation of Photo Coverage Area

To calculate the area that each photo can cover, we need to determine the area of the photograph based on the GSD.

The area of the photograph can be calculated as:

Area of photograph = GSD x image dimension x image dimension

Area of photograph = 0.00000318 x 9 x 9 = 0.00020412 square miles

Calculation of Number of Photos Required

Now we can calculate the number of photos required to cover the area.

End overlap is given as 60%, which means that each photo overlaps with the adjacent photo by 60% in the direction of flight.

Side overlap is given as 30%, which means that each photo overlaps with the adjacent photo by 30% perpendicular to the direction of flight.

Therefore, the area covered by each photo with overlap is:

Area covered by each photo = Area of photograph x (1 - side overlap) x (1 - end overlap)

Area covered by each photo = 0.00020412 x 0.7 x 0.4 = 0.00005722 square miles

To cover the total area of 6 x 6 mi2, we need to divide the total area by the area covered by each photo:

Number of photos required = (6 x 6) / 0.00005722 = 62,537

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The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.

The given two-person game is shown in the given table below.Player 2Player 1UDUD2,20,00,20,4The given two-person game has two pure strategy Nash equilibria, (U, D) and (D, U).Mixed strategy Nash EquilibriaIn this game, if player 1 selects U with a probability of q, then the expected payoff of player 2 will be: U = 2q + 0 (1 - q) = 2q where 1 - q is the probability of selecting D.

Similarly, if player 1 selects D with a probability of q, then the expected payoff of player 2 will be: D = 0q + 4 (1 - q) = 4 - 4q where 1 - q is the probability of selecting U.

Similarly, if player 2 selects U with a probability of p, then the expected payoff of player 1 will be: U = 2p + 0 (1 - p) = 2p where 1 - p is the probability of selecting D.

Similarly, if player 2 selects D with a probability of p, then the expected payoff of player 1 will be: D = 0p + 2 (1 - p) = 2 - 2p where 1 - p is the probability of selecting U.

If player 1 mixes his strategies, then the best response of player 2 can be obtained as: U = 2q and D = 4 - 4q.

Similarly, if player 2 mixes his strategies, then the best response of player 1 can be obtained as: U = 2p and D = 2 - 2pThe following table can be drawn for the best response of each player.

Best Responses Player 2 Player 1 U D U D BR21 1 2 2 BR12 1/2 1/2 2 0.

By solving the above best responses, the set of all pure and mixed strategy Nash equilibria can be obtained.

SolutionThe pure strategy Nash equilibria are (U, D) and (D, U).Now we will find the mixed strategy Nash equilibria of the given two-person game by solving the best response correspondences of each player.

The set of all pure and mixed strategy Nash equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.

The given two-person game has been given in the table shown below.Player 2Player 1UDUD2,20,00,20,4The two-person game given above can have a pure strategy Nash Equilibrium and mixed strategy Nash Equilibrium, which can be found by plotting the best response correspondences of each player.

The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy.The mixed Nash equilibrium can be solved by considering the probability with which each player is playing each of its strategies.

The expected payoff of the player is calculated by multiplying the payoff of each outcome with its probability and then adding up all the values of each outcome after multiplication. Each player tries to choose the strategy that maximizes its expected payoff given the strategy of the other player.

The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.

The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}. The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy. The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.

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The blanks in this two-column proof should be completed (filled) as follows:

Statements                              Reasons_______________

ΔADB ≅ ΔCDB                             HL.

AD ≅ CD                                    CPCTC.

In Mathematics, the Right Triangles Similarity Theorem states that when the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then, the two (2) triangles that are formed would be similar to each other, as well as the original triangle.

In Mathematics, CPCTC is an acronym for corresponding parts of congruent triangles are congruent and it states that the corresponding angles and side lengths of two (2) or more triangles are congruent if they are both congruent i.e AD ≅ CD.

Additionally, HL is an acronym for hypotenuse leg and it states that if the hypotenuse and one (1) leg in a right-angled triangle are congruent to the hypotenuse and leg of another right-angled triangle, then the two (2) triangles would be congruent i.e ΔADB ≅ ΔCDB.

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Answer:

ΔADB ≅ ΔCDB                             HL.

AD ≅ CD                                    CPCTC.

Step-by-step explanation:

or what the  guy said on top :D

The correct answer is,

x = 13, 3

Answer:

0.125 times larger

Step-by-step explanation:

given the scale factor of 2 solids is k , then the volume  factor = k³

here k = 0.5 , so

volume factor = (0.5)³ = 0.125

J in 55min

J in 45min ( bigger hose)

Alternative method

The trick is to convert the numbers you are given to numbers that you can add together.

You have minutes per pool. You can’t work with that. But if you take the reciprocal of each you get pools per minute.

So if the first hose fills 1/55 = 0.01818 pools per minute and the second one fills 1/45 = 0.0222 pools per minute, then both of them will fill 0.1818 + 0.0222 = 0.04040 pools per minute. If we take the reciprocal of that we end up with 1/0.04040 = 24.75 minutes per pool.

Answer:

Step-by-step explanation:

The surface area:

        \(2\cdot(2.4\cdot1.8+\frac12\cdot2.4\cdot0.5)+2\cdot1.8\cdot1.1+2\cdot1.3\cdot1.1+2.4\cdot1.1\\\\=2\cdot(4.32+0.6)+3.6\cdot1.1+2.6\cdot1.1+2.64\\\\=9.84+3.96+2.86+2.64=19.3\ yd^2\)

The volume:

       \((2.4\cdot1.8+\frac12\cdot2.4\cdot0.5)\cdot1.1=4.92\cdot1.1=5.412\ yd^3\)