Clasifica los siguientes números en los conjuntos numéricos a los que pertenezcan. Si es posible
Exprésalos en forma de fracción.
a)
8
c) −43
e)
1,27
g)
1,01002000300004...
b) −0,81
d) numero PI
f) − 64
h) 6

Answer: A equation that could have "x= -3" as a solution could be "235x - 18 = -723".

The ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is  1.2:1

To calculate the perimeter ratio of the smaller triangle to the bigger triangle, compare the corresponding sides of the two triangles.

The scale factor of similarity is equal to the ratio of equivalent sides of similar triangles.

In this situation, the smaller triangle's longest side is 15, and the larger triangle's longest side is 18. Divide the length of the longest side of the larger triangle by the length of the longest side of the smaller triangle to find the scale factor of similarity.

The scale factor is 18/15 = 1.2.

The similarity scale factor is 1.2.

The scale factor is equal to the ratio of the perimeters of the two triangles. Therefore, the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is:

Ratio = 1.2

So, the correct option is 1.2:1.

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Unfortunately, the question seems to be incomplete as it mentions "Consider the following two person game. (5)" without providing any details about the game, its payoff matrix, or any specific instructions. Without this information, it is not possible to draw the graphs or provide an analysis of Nash equilibria.

In general, to find the Nash equilibria of a game, one must analyze the players' strategies and payoffs. The Nash equilibrium is a situation in which no player has an incentive to unilaterally deviate from their chosen strategy. It is often identified by looking for stable points where the players' best responses intersect.

A common approach to finding Nash equilibria is through the analysis of strategic dominance, where strategies that are strictly dominated by others can be eliminated from consideration. This process reduces the strategic space and narrows down the possible equilibria.

However, without the specific game and its details, it is not possible to provide a diagram or analyze the Nash equilibria. It would be helpful to provide more information or the specific game setup to proceed with a meaningful analysis.

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Answer:

no

Step-by-step explanation:

↝ Quadratic Function has the domain of all real numbers. (Even not given the specific domain.)

↝ The equation \(y=-3(x-5)+8\) is a parabola with (5,8) as a vertex. We call the equation \(y=a(x-h)^2+k\) as vertex equation.

The domain of -3(x-5)+8 is all set of real numbers.

↝ Interval Notation ↝

Since the domain of the equation is set of all real numbers.

Therefore, the domain is x ∈ R or (-∞,∞) or -∞<x<∞

There of them work. Recall that the domain of quadratic function is all set of real numbers.

i think its 12

Step-by-step explanation:

Answer:

5.24 × 10¹¹

When you do 5.24 x 10^11, you will get 524,000,000,000

Answer:

= 462

Step-by-step explanation:

the number of combinations is = n! / r!(n - r)!

where n = total number and r is the number you select. For this equation, the order of the items chosen does not matter. (So if I pick book A, then B, then C, then D, then E, that's the same thing as B, A, C, E, D. Order doesn't matter; it's the same exact set of 5 books.)

So in this example:

n = 11

r = 5

= n! / r!(n - r)!

= 11! / 5! (11-5)!

= 11! / 5! (6)!

= 462

The total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.20.

To calculate the total cost, we need to determine the cost of each type of binder clip separately and then sum them up.

The cost of medium binder clips is $5 per pound, and Kayla purchased 0.1 pounds. Therefore, the cost of medium binder clips is 0.1 pounds * $5 per pound = $0.50.

The cost of jumbo binder clips is $6 per pound, and Kayla purchased 0.2 pounds. Thus, the cost of jumbo binder clips is 0.2 pounds * $6 per pound = $1.20.

Finally, to find the total cost, we add the individual costs together: $0.50 + $1.20 = $1.70.

Therefore, the total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.70.

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Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720

Answer:

The tax percentage is 8.25 percent

Step-by-step explanation: After multiplying multiple tax percentages I found that 8.25 was the right tax percentage.

Hope this helps.

Answer:

use the formula y2 - y1 /x2 - x1

y1 = 6

y2 = 9

x1 = 1

x2 = 4

Step-by-step explanation:

9 - 6/ 4 - 1

3/3

=1

slope is 1

Answer:

\(m=1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (1, 6)

Point (4, 9)

Step 2: Find slope m

The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.

From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.

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Answer:

3%

Step-by-step explanation:

Sorry I have no step by step explanation at this time.

The solution for the equation ln 5 x=4 is 10.92.

ln 5 x=4

5 x = \(e^{4}\)

x = 10.92

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.

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Answer:

The answer is 9.0909

Step-by-step explanation:

n=1  p=.11

mean = 1/0.11 = 9.0909

The mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.

The mean refers to "the average set of values".

According to the question,

The percentage of patients experiencing injection- site reactions with the current needle is 11%.

Mean = \(\frac{sum of the all values}{Total number of values}\)

Total number of values = 11% = 0.11 and  n = 1.

Mean = \(\frac{1}{0.11}\)

=9.0909.

Hence, the mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.

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Answer:

Undefined

Step-by-step explanation:

Use the formula y2-y1/x2-x1

3-9/-5-(-5)

-6/0

Any number with a denominator of 0 is undefined

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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1(a). Using the least-squares regression method, the cost formula for utilities cost based on tons mined is Y = $65,000 + $0.003X.

2. Using direct labor-hours, the cost formula is Y = $42,500 + $0.008X.



1(a). To determine a cost formula for utilities cost using tons mined as the independent variable, we will use the least-squares regression method.

First, we calculate the mean values for tons mined (X) and utilities cost (Y) for both Year 1 and Year 2. Then, we calculate the deviations from the mean for each data point. Next, we multiply the deviations of tons mined by the deviations of utilities cost. We sum up these products and divide by the sum of squared deviations of tons mined to find the slope (b). Using the formula: b = Σ((X - X_mean)(Y - Y_mean)) / Σ(X - X_mean)^2

Once we have the slope (b), we can substitute the mean values and the slope into the equation Y = a + bX to solve for the intercept (a). Finally, we can write the cost formula for utilities cost using the obtained values of a and b. The formula will be: Y = $65,000 + $0.003 X (where X represents tons mined).

2. To determine a cost formula for utilities cost using direct labor-hours as the independent variable, we follow the same steps as in 1(a), but this time we use direct labor-hours (X) and utilities cost (Y) as the data points. Using the least-squares regression method, we calculate the slope (b) and the intercept (a) of the regression line. Substituting these values into the equation Y = a + bX, we find the cost formula for utilities cost using direct labor-hours as the base. The formula will be: Y = $42,500 + $0.008 X (where X represents direct labor-hours).

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Answer:

To calculate a Pythagorean triple select any term of this progression and reduce it to an improper fraction. For example, take the term {\displaystyle 3{\tfrac {3}{7}}}3\tfrac{3}{7}. The improper fraction is {\displaystyle {\tfrac {24}{7}}}{\tfrac  {24}{7}}. The numbers 7 and 24 are the sides, a and b, of a right triangle, and the hypotenuse is one greater than the largest side. For example:

{\displaystyle 1{\tfrac {1}{3}}{\text{ }}{\xrightarrow {\text{yields}}}{\text{ }}[3,4,5],{\text{ 2}}{\tfrac {2}{5}}{\text{ }}{\xrightarrow {\text{yields}}}{\text{ }}[5,12,13],{\text{ 3}}{\tfrac {3}{7}}{\text{ }}{\xrightarrow {\text{yields}}}{\text{ }}[7,24,25],{\text{ 4}}{\tfrac {4}{9}}{\text{ }}{\xrightarrow {\text{yields}}}{\text{ }}[9,40,41],{\text{ }}\ldots }1{\tfrac  {1}{3}}{\text{ }}{\xrightarrow  {{\text{yields}}}}{\text{ }}[3,4,5],{\text{    2}}{\tfrac  {2}{5}}{\text{ }}{\xrightarrow  {{\text{yields}}}}{\text{ }}[5,12,13],{\text{    3}}{\tfrac  {3}{7}}{\text{ }}{\xrightarrow  {{\text{yields}}}}{\text{ }}[7,24,25],{\text{    4}}{\tfrac  {4}{9}}{\text{ }}{\xrightarrow  {{\text{yields}}}}{\text{ }}[9,40,41],{\text{ }}\ldots  

Jacques Ozanam[5] republished Stifel's sequence in 1694 and added the similar sequence {\displaystyle 1{\tfrac {7}{8}},{\text{ }}2{\tfrac {11}{12}},{\text{ }}3{\tfrac {15}{16}},{\text{ }}4{\tfrac {19}{20}},\ldots }1{\tfrac  {7}{8}},{\text{ }}2{\tfrac  {11}{12}},{\text{ }}3{\tfrac  {15}{16}},{\text{ }}4{\tfrac  {19}{20}},\ldots  with terms derived from {\displaystyle n+{\tfrac {4n+3}{4n+4}}}n+{\tfrac  {4n+3}{4n+4}}. As before, to produce a triple from this sequence, select any term and reduce it to an improper fraction. The numerator and denominator are the sides, a and b, of a right triangle. In this case, the hypotenuse of the triple(s) produced is 2 greater than the larger side. For example:

{\displaystyle 1{\tfrac {7}{8}}{\xrightarrow {\text{yields}}}[15,8,17],2{\tfrac {11}{12}}{\xrightarrow {\text{yields}}}[35,12,37],3{\tfrac {15}{16}}{\xrightarrow {\text{yields}}}[63,16,65],4{\tfrac {19}{20}}{\xrightarrow {\text{yields}}}[99,20,101],\ldots }1{\tfrac  {7}{8}}{\xrightarrow  {{\text{yields}}}}[15,8,17],2{\tfrac  {11}{12}}{\xrightarrow  {{\text{yields}}}}[35,12,37],3{\tfrac  {15}{16}}{\xrightarrow  {{\text{yields}}}}[63,16,65],4{\tfrac  {19}{20}}{\xrightarrow  {{\text{yields}}}}[99,20,101],\ldots  

Together, the Stifel and Ozanam sequences produce all primitive triples of the Plato and Pythagoras families respectively. The Fermat family must be found by other means.

With a the shorter and b the longer leg of the triangle:

{\displaystyle {\text{Plato: }}c-b=2,\quad \quad {\text{Pythagoras: }}c-b=1,\quad \quad {\text{Fermat: }}\left|a-b\right|=1}{\displaystyle {\text{Plato: }}c-b=2,\quad \quad {\text{Pythagoras: }}c-b=1,\quad \quad {\text{Fermat: }}\left|a-b\right|=1}

Dickson's method

Leonard Eugene Dickson (1920)[6] attributes to himself the following method for generating Pythagorean triples. To find integer solutions to {\displaystyle x^{2}+y^{2}=z^{2}}x^{2}+y^{2}=z^{2}, find positive integers r, s, and t such that {\displaystyle r^{2}=2st}r^{2}=2st is a perfect square.

Then:

{\displaystyle x=r+s\,,\,y=r+t\,,\,z=r+s+t.}x=r+s\,,\,y=r+t\,,\,z=r+s+t.

From this we see that {\displaystyle r}r is any even integer and that s and t are factors of {\displaystyle {\tfrac {r^{2}}{2}}}{\tfrac  {r^{2}}{2}}.  All Pythagorean triples may be found by this method.  When s and t are coprime, the triple will be primitive. A simple proof of Dickson's method has been presented by Josef Rukavicka (2013).[7]

Example: Choose r = 6. Then {\displaystyle {\tfrac {r^{2}}{2}}=18}{\tfrac  {r^{2}}{2}}=18. The three factor-pairs of 18 are: (1, 18), (2, 9), and (3, 6). All three factor pairs will produce triples using the above equations.

s = 1, t = 18 produces the triple [7, 24, 25] because x = 6 + 1 = 7,  y = 6 + 18 = 24,  z = 6 + 1 + 18 = 25.

s = 2, t =   9 produces the triple [8, 15, 17] because x = 6 + 2 = 8,  y = 6 +  9 = 15,  z = 6 + 2 + 9 = 17.

s = 3, t =   6 produces the triple [9, 12, 15] because x = 6 + 3 = 9,  y = 6 +  6 = 12,  z = 6 + 3 + 6 = 15. (Since s and t are not coprime, this triple is not primitive.)

1.b

2.refrection hope this helps may i have brainliest if not thats ok

Step-by-step explanation:

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The length of the piece should be 17.716 inches.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

length = 45 m

one inch = 2.54 cm

So, length of strip would be

=45/2.54

=17.716

Hence, the length of the piece should be 17.716 inches.

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We have the following equation given:

And we need to solve for m. So we can start aggrupating the terms like this:

Now we can subtract 5m from both sides of the equation and we got:

And now we can add 5 in both sides of the equation and we got:

And dividing by 3 got this:

-112°  =  1.95 units clockwise. This can be solved using the concept of central angle.

Correct option is: d

A circle's central angle is the angle formed by two of its radii. The circle's two places of intersection (Note: The opposite end of the radii meets at the circle's centre) together make up a section known as the arc Length.

A central angle is an angle whose legs (sides) are radii intersecting the circle at two different places, A and B, and whose apex (vertex) is the center O of a circle. The central angle is the angle created by the two radii of the circle. A 360° angle is completed by the circle. A circle's central angle has a value between 0 and 360°.

For the given central angle,

-112°  = d 1.95 units clockwise

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Answer:

\((4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13\)

Step-by-step explanation:

Answer = a. 16x+13

The Queen problem involves placing N queens on an N x N chessboard in such a way that no two queens threaten each other. Backtracking is a common technique used to solve this problem.

Here are the steps involved in backtracking to solve the Queen problem: Start with an empty chessboard.

Place the first queen in the first row and first column.

Move to the next row and try to place the second queen in a safe position.

If a safe position is found, move to the next row and repeat the process.

If no safe position is found, backtrack to the previous row and try a different position.

Continue this process until all queens are placed or all possibilities have been exhausted.

If all queens are successfully placed, the problem is solved. If not, there is no solution.

Throughout the process, a backtracking tree is formed, where each node represents a different configuration of queen placements. The tree branches out as different possibilities are explored and backtracks when a dead end is reached.

Note: The condition of no queen standing on a square with a bomb can be included as an additional constraint in the backtracking algorithm.

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Answer:

17

Step-by-step explanation:

or, 4x= 68

or, x = 68/ 4

: x = 17

Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.

The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.

 when we refer to an experiment or trial, we mean a random experiment. When difference  between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.

Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.

according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.

The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,

E(X) = n p = 15 n = 100

p = \(\frac{E(X)}{n} = \frac{15}{100}\) = 0.15

Therefore, it is probability that 0.15 %of flights will arrive on time.

To determine the expected  number of trials from a total of 100

Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:

\(P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}\)

We can calculate this 0.144 get  using a calculator.

therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.

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