The number of reducible monic polynomials of degree 2 over Z3 is: 8 2 4 F

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

Answer:

B and C are functions.

Step-by-step explanation:

B and C are functions because they satisfy the Vertical Line Test. A and D are not functions because they do not satisfy the Vertical Line Test.

The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

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Answer:

\(\sqrt {27}\) and \(\sqrt {38}\)

The answer is root of 27 and 38

square root of 24 = sqrt 4 × sqrt 6 = 2 root 6

square root of 32 = sqrt 16 × sqrt 2 = 4 root

square root of 27 = sqrt 9 × sqrt 3

square root of 38 = sqrt 19 × sqrt 2

square root of 27 and 38 can't be simplified

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.

The first mistake made in the steps to solve the equation is; Step 3 is incorrect and should be x = 10/8

We are given the algebraic expression;

6x - 1 = -2x + 9

Step 1; By addition property of equality, add 2x to both sides to get;

6x - 1 + 2x = -2x + 2x + 9

8x - 1 = 9

Step 2; By addition property of equality, add 1 to both sides to get;

8x - 1 + 1 = 9 + 1

8x = 10

Step 3; By division property of equality, divide both sides by 8 to get;

8x/8 = 10/8

x = 10/8

Step 4; By simplifying the fraction, we have;

x = 5/4

Step 3 shows 8/10 and as such it is the first mistake.

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Answer:

ty

Step-by-step explanation:

Answer 18

Solve 5+5+4+4=18

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Answer:

Step-by-step explanation:

Notice that the inputs {5, -8, -1, -5} are all different.  So we can immediately conclude that this is a function.

If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.

The volume of the tetrahedron with given vertices is 2.

To calculate the volume of the tetrahedron using 1/6 of the volume of the parallelepiped formed by the vectors a, b, and c, we need to find the vectors formed by the given vertices and then calculate the volume of the parallelepiped.

The vectors formed by the given vertices are:

a = PQ

= Q - P

= (0, 0, 3) - (2, 0, 1)

= (-2, 0, 2)

b = PR

= R - P

= (-3, 3, 1) - (2, 0, 1)

= (-5, 3, 0)

c = PS

= S - P

= (0, 0, 1) - (2, 0, 1)

= (-2, 0, 0)

Now, we can calculate the volume of the parallelepiped formed by vectors a, b, and c using the scalar triple product:

Volume of parallelepiped = |a · (b × c)|

where · denotes the dot product and × denotes the cross product.

a · (b × c) = (-2, 0, 2) · (-5, 3, 0) × (-2, 0, 0)

= (-2, 0, 2) · (-6, 0, 0)

= 12

So, the volume of the parallelepiped formed by vectors a, b, and c is 12.

Finally, we can calculate the volume of the tetrahedron:

Volume of tetrahedron = (1/6) * Volume of parallelepiped

= (1/6) * 12

= 2

Therefore, the volume of the tetrahedron is 2.

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Answer:

Step-by-step explanation:

a) $3.30/6kg = 0.55 dollars per kilogram

b) 448km/7h = 64 kiliometres per hour

For each unit rate, divide the units in where usually the biggest one is on top

Have a good one

The postulate that can be used to prove the two triangles are congruent is (c) None of the other answers are correct

The figure represents the given parameter

There are two triangles in the figure

Such that the triangles are similar triangles or congruent

From the question, we understand that the triangles are congruent

Also, we know that

UQ ≅ AC and QD ≅ AU

There is no point C on any of the triangles

This means that we cannot ascertain the congruency of the triangles

Hence, the true statement is (c)

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The slope-intercept equation for the line with a slope of\(\(-3/4\)\) and passing through the point \(\((-3, -4)\)\)is:

\(\(y = -\frac{3}{4}x - \frac{25}{4}\)\)

The slope-intercept form of a linear equation is given by y = mx + b, where \(m\) represents the slope and \(b\) represents the y-intercept.

In this case, the slope m is given as\(\(-3/4\),\) and the line passes through the point \(\((-3, -4)\)\).

To find the y-intercept \((\(b\)),\) we can substitute the coordinates of the given point into the equation and solve for b.

So, we have:

\(\(-4 = \frac{-3}{4} \cdot (-3) + b\)\)

Simplifying the equation:

\(\(-4 = \frac{9}{4} + b\)\)

To isolate \(b\), we can subtract \(\(\frac{9}{4}\)\)from both sides:

\(\(-4 - \frac{9}{4} = b\)\)

Combining the terms:

\(\(-\frac{16}{4} - \frac{9}{4} = b\)\)

Simplifying further:

\(\(-\frac{25}{4} = b\)\)

Now we have the value of b, which is \(\(-\frac{25}{4}\)\).

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Answer:

20 like badmition

35 like hockey

20+35=45

so only 5 are left that like both

1. 5

2. 35

Hope This Helps!!!

Answer:

Step-by-step explanation:

Find the missing side:

Now, the functions:

Correct choice is C

Answer:

x = 26.

Step-by-step explanation:

Given: 2x + 3x + 50 = 180

First, write it down:

2x + 3x + 50 = 180

Then, collect like terms:

2x + 3x = 180 - 50

Then calculate:

5x = 130  (Divide both sides by 5)

x = 26

Answer: 7x^3y^4z^2

Step-by-step explanation:

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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The range of values of x as shown in the figure is -9 < x < 15

Inequality expressions

Inequality are expressions not separated by an equal sign.

The required inequality expression is given as:

⇒ |9x - 27| < 108

For the positive inequality

⇒ 9x - 27 < 108

⇒ 9x < 108 +27

⇒ 9x < 135

⇒ x < 15

For the negative inequality

⇒ -9x +  27 < 108

⇒ -9x < 108 - 27

⇒ -9x < 91

⇒ x > -9

⇒ -9 < x

Hence the range of values of x as shown in the diagram is -9 < x < 15

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Answer:

There is no solution

Step-by-step explanation:

4x - 2y = 5 --> 4x - 2(2x + 10) = 5

4x - 4x  - 20 = 5

4x - 4x -25 = 0

Final answer is -25 = 0 and so therefor it is no solution

Answer:

What are the questions?

Step-by-step explanation:

The area swept clean by the wiper blade is 221.128 square inches.

To find the area swept clean by the wiper blade, we can calculate the area of the sector of a circle that the blade moves through.

The radius of the circle that the blade moves through is the length of the arm, which is 19 inches.

The angle that the blade moves through is 105 degrees.

To calculate the area of the sector, we need to convert the angle to radians:

105 degrees * (π/180) = 1.8326 radians (rounded to 4 decimal places)

The area of the sector is then:

(1/2) * r^2 * θ = (1/2) * (19^2) * 1.8326 = 325.628 square inches (rounded to 3 decimal places)

However, the area swept clean by the wiper blade is not the full area of the sector, as the blade itself has a width of 11 inches. Therefore, we need to subtract the area of the triangle formed by the blade and the two radii of the sector that intersect at the blade's pivot point.

The length of one of the radii is the length of the arm, which is 19 inches. The length of the other radius is 19 - 8 = 11 inches since the blade is mounted 8 inches from the pivot point.

Using the formula for the area of a triangle:

(1/2) * base * height = (1/2) * 11 * 19 = 104.5 square inches

Therefore, the area swept clean by the wiper blade is:

325.628 - 104.5 = 221.128 square inches (rounded to 3 decimal places)

So the area swept clean by the wiper blade is approximately 221.128 square inches.

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Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

The given equation are:

3x + 4y = 8

and 6x – 2y = 9

(1)

(2)

Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have

3x + 4y = 8

12x – 4y= 18

(3)

(4)

Now, adding the above equations, we

have

15x 26

= 26 15

Now, substituting the value of x in equation (3), we have

3(25) + 4y=8

y=1

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

A.P.E.X 2021

The solution set for the number line of inequality can be represented as,

{x | x ≤ 4. 5}

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The meaning of circle in number line,

The number line going from negative 5 to positive 5 and a solid circle appears between positive 4 and positive 5. The middle point of 4 and 5 is 4.5.

The solid or closed circle means that the value has less than or equal to 4.5. Thus, the solution set for the number line of inequality can be represented as,

{x | x ≤ 4. 5}

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