Put the following equation of a line into slope-intercept form, simplifying all fractions.
20x+4y=8

Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

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Answer:

Option D is the correct answer

Step-by-step explanation:

Since, dimensions of both the matrices are different, hence they cannot be added.

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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False. A data set can have the same mean and median, but not necessarily the same mode.

The mean, median, and mode are measures of central tendency used to describe a data set. The mean is the average of all the values in the data set, the median is the middle value when the data set is arranged in ascending or descending order, and the mode is the value that appears most frequently.

While it is possible for a data set to have the same mean and median, it is not necessary for the mode to be the same as well. For example, consider a data set with the values [1, 2, 3, 3, 4, 5]. In this case, the mean is 3, the median is 3, and the mode is also 3 because it appears twice, which is more frequently than any other value. However, there are scenarios where the mode can be different from the mean and median, such as in a bimodal distribution where there are two distinct peaks in the data set.

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Answer:

x=7

Step-by-step explanation:

Step #1- Set the two lines equal to each other

10+12=x+15

Step #2- Solve for the line you have all values for

10+12=22

Step#3- Plug 22 back into the equation where the two lines are set equal to each other

22=x+15

Step #4- Solve for X algebraically

22=x+15

22-15=x

7=x

The dilation of the triangle is illustrated below.

Resizing an object uses a transformation called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image that retains the original shape.

The image's size will depend on the scale factor, which is used to dilate a mathematical object. See the diagram below. We end up with a triangle where the sides are 3/2 = 1.5 times longer compared to the original diagram.

Because segment AC is going through P (center of dilation), this means that segment A'C' will also go through P. Furthermore, it means AC and A'C' overlap. However, as mentioned earlier, A'C' is 1.5 times longer than AC.

Another thing to note is that line BC is parallel to line B'C', and line AB is parallel to A'B'.

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Answer:

1200

Step-by-step explanation:

4% of 2000 is 80 then do 80*15 and you get 1200

Answer:

25

Step-by-step explanation:

x^2 + 10x + 25   = (x+5)^2

Answer:

trinta e sete bilhões, trezentos e quarenta e um milhões.

The simplified form of the given expression is 4p⁷/q.

The given expression is 4p⁵q³×p²q⁻⁴.

Using the exponential law, aⁿ×aˣ=aⁿ⁺ˣ, we get

4(p⁵×p²)(q⁻⁴×q³)

= 4p⁵⁺²q⁻⁴⁺³

= 4p⁷q⁻¹

= 4p⁷/q

Therefore, the simplified form of the given expression is 4p⁷/q.

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Answer:

Part A

The table is filled in based on given data.

See attached

Part B

Part C

Answer:

40

Step-by-step explanation:

hope it helps and sorry if it's wrong but i wish you luck

There are different ways a person can make up a story about a word problem. The square root of 81 - 7 is 2. Hence the story is given below.

The hypothetical story goes like this: Mia was trying to figure out the length of the missing side of a square garden bed. She knew that the total area of the garden bed was 81 square feet. She also knew that she had already planted in a section of the garden bed that was 7 feet wide.

So, what will be the length of the missing side of the garden bed if Mia wants to make sure it is completely filled with soil. In order to solve this problem, Mia used the equation: the square root of 81-7=2. She plugged in the values she knew and solved for the missing side length. Therefore, The solution will be:= ✓81 - 7= 9 - 7= 2

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A story for the word problem is that what will be the length of the missing side of a square garden when the total area is 81 feet² and the width was 7 feet wide?

From the information, we are seeking a story problem that has the equation had the square root of 81 - 7 = 2.

This will be written as story for the word problem is that what will be the length of the missing side of a square garden when the total area is 81 feet ² and the width was 7 feet wide?

The length will be calculated thus :

= √ 81 - 7

= 9 - 7

= 2

The length of the missing side is 2 feet.

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The number of distinct possibilities for the values in the first column of a short bingo card is = 10000

According to the data given in the question,

The middle square is contained with the word = WILD

Number of remaining squares = 24

Total number of choices given to an individual = 4

Number of options provided for each choice made = 10

Let N denote the number of choices,

In order to find the number of choices we will use the following formula,

N = \(Number of options^{Number of choices}\)

N = \(10^{4}\)

N = 10000

Therefore, the number of distinct possibilities for the values in the first column of a short bingo card is = 10000

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Answer:

C = 100 + 40n

The independent variable is n (number of months) and the dependent variable is C ( total cost)

Step-by-step explanation:

Let the total cost of the fitness center = C

Given fixed cost = $100

given cost per month = $40

let number of month = n

The total cost of the fitness center in a given 'n' month is calculated as;

C = 100 + 40n

From the above equation;

the independent variable is n (number of months) and

the dependent variable is C ( total cost)

C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)

Answer:

b. 40m

Step-by-step explanation:

\(length \: of \: x \\ {x}^{2} = {8}^{2} + {6}^{2} \\ {x}^{2} = 64 + 36 \\ {x}^{2} = 100 \\ \sqrt{ {x}^{2} } = \sqrt{100} \\ x = 10m\)

\(x = 10m \\ 4x = 4 \times 10 \\ 4x = 40m\)

B) Tangent is positive in Quadrant III is correct!

Answer:

3.689e+20

Step-by-step explanation:

thats the answer

Answer:

834*3 + 1058*4 = ___

2,502 + 4,232 = 6,734 feet of wood

Step-by-step explanation:

Answer:

6734 is the answer.

Step-by-step explanation:

834 x 3 = 2502.

1058 x 4 = 4232.

2502 + 4232 = 6734.

Solution of laplace´s equation uxx + uyy = 0 including these function :

Hence, the solutions of laplace´s equation is including the following functions above.  

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The angles are approximately 16, 109, 81, and 45 degrees for 17, 73, 81, and 46 degrees, respectively.

To use an inverse trig ratio to find the angle, we need to be given a trigonometric function and its value. We can then use the inverse function to find the angle.

To find the angle whose tangent is 0.3, we use the inverse tangent function:

\($\tan^{-1}(0.3) \approx 16^{\circ}$\) (rounded to the nearest degree)

To find the angle whose cosine is -0.3, we use the inverse cosine function:

\($\cos^{-1}(-0.3) \approx 109^{\circ}$\) (rounded to the nearest degree)

Note that there are two possible angles whose cosine is -0.3 (one in the second quadrant and one in the third quadrant), but we choose the one in the second quadrant since it's between 0 and 180 degrees.

To find the angle whose sine is 0.98, we use the inverse sine function:

\($\sin^{-1}(0.98) \approx 81^{\circ}$\) (rounded to the nearest degree)

To find the angle whose tangent is 1, we use the inverse tangent function:

\($\tan^{-1}(1) = 45^{\circ}$\)

Therefore, the angles are approximately 16, 109, 81, and 45 degrees for 17, 73, 81, and 46 degrees, respectively.

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Answer:

C=6

Step-by-step explanation:

3x2 is 6 and 6+4= 10.

This question can be answered using trial and error.

Hi student, let me help you out!

............................................................................................................

Which value of c makes the inequality 4+3c>10 true? We can quickly find it if we follow these steps:

Step 1. Subtract 4 from both sides: \(\mathrm{3c > 10-4}\).

Upon simplifying, we get \(\mathrm{3c > 6}\).

Step 2. Solve for c by dividing both sides by 3: \(\mathrm{c > 2}\)

So the values that make this inequality true are greater than 2.

Hope it helped you out, ask in comments if any queries arise. :)

Explanation:

The angles marked with a single arc are one pair of congruent angles forming one "A" of "ASA".

The other "A" is the angles marked with double arcs.

The "S" refers to the sides between those said angles. These sides overlap perfectly so we have a shared side, meaning they must be the same length (refer to the reflexive property).

This is why the triangles are congruent by the ASA (angle side angle) congruence theorem. One triangle is a reflected version of the other. The mirror line being that shared overlapping side. Congruent triangles are like twin identical copies.

We need to know about circumference of a circle to solve the problem. The number of revolutions that the car wheel makes to travel 1 mile is 672.

The circumference of the circle is the perimeter of the circle. In the given question we know that the diameter of the car wheel is 30 inches, and we need to find out the number of revolutions it will take for the car to travel 1 mile. We need to find the circumeference of the circle from there we will know how much distance it covers in one revolution, so we can find out after that the number of revolutions it will take to cover 1 mile.

radius= 30/2 = 15 inches

circumference= 2\(\pi\)r = 2x \(\pi\)x 15=94.25 sq inches

1 mile = 63360 inches

revolutions = 63360/94.25= 672

Therefore the number of revolutions the car will make to travel 1 mile is 672.

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The subtraction of the polynomials (3.1x + 2.8z) - (4.3x - 1.2z) is -1.2x + 4x

A polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.

(3.1x + 2.8z) - (4.3x - 1.2z)

open parenthesis

3.1x + 2.8z - 4.3x + 1.2z

combine like terms

3.1x - 4.3x + 2.8z + 1.2z

-1.2x + 4x

Ultimately, -1.2x + 4x is the results of the subtraction of the polynomial.

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:  n ≤ 52

Step-by-step explanation:

less than or equal to is usually write as ≤.

n - 15 ≤ 37

  +15    +15 [Add 15 to the both sides]      

     n ≤ 52