Dentro de un auditorio hay 435 asientos, de tal forma que en la primera fila hay 8 asientos, en la segunda fila hay 11, en la tercera hay 14, y así sucesivamente se forma una sucesión aritmética. ¿Cuántas sillas hay en la última fila? ¿Cuántas filas tiene ese auditorio?​

Answer:

To calculate the periodic interest rate for an account billed monthly with an APR of 21.99%, we need to divide the APR by the number of billing periods in a year.

Since there are 12 months in a year for a monthly billing cycle, we can divide 21.99% by 12 to get the monthly periodic interest rate.

Periodic Interest Rate = APR / Number of Billing Periods in a Year

Periodic Interest Rate = 21.99% / 12

Periodic Interest Rate = 1.8325%

Rounding this answer to the nearest hundredth, we get a periodic interest rate of 1.83%.

The value of f(13.8) = 636.8

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example f(y) = 5y+7

Similar the function given ;

f(x)=46x+2

when x = 13.8

f(13.8) = 46(13.8) + 2

= 636.8

therefore the value of the function f(x)=46x+2 at x = 13.8 is 636.8

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The value of the function f(x) = 46x + 2 at x = 13.8 is 636.8.

Function is a rule that assigns a unique output value to each input value. A function is typically denoted by a letter such as f(x), where x is the input variable and f(x) is the output value.

To evaluate the function f(x) = 46x + 2 at x = 13.8, we simply substitute x = 13.8 into the expression for f(x):

f(13.8) = 46(13.8) + 2

Simplifying this expression, we get:

f(13.8) = 634.8 + 2

f(13.8) = 636.8

Therefore, the value of the function f(x) = 46x + 2 at x = 13.8 is 636.8.

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The equation that shows  the damping ratio for a mass-spring-damper system which is defined in terms of the mass, m, stiffness, k, and damping, b is  ζ = b / (2sqrt(mk)).

The damping ratio ζ is defined as the ratio of the damping coefficient b to the critical damping coefficient b_c, which is the minimum damping required to prevent the system from oscillating.

The damping ratio is a dimensionless quantity that represents the amount of damping in the system relative to the critical damping needed to prevent oscillations. A higher damping ratio indicates a more heavily damped system, while a lower damping ratio indicates a less damped system that may oscillate more.

The motion of a mass-spring-damper system can be described by a second-order linear ordinary differential equation (ODE) of the form:

md²x/dt² + bdx/dt + kx = F(t)

where m is the mass of the system, b is the damping coefficient, k is the spring constant, x is the displacement of the mass from its equilibrium position, and  the external force applied to the system is F(t).

The critical equation will be -

b_c = 2√(mk)

Therefore, the damping ratio can be expressed as:

ζ = b / b_c

Substituting the expression for b_c into the above equation, we get:

ζ = b / (2√(mk))

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The slope of this graph​ is equal to 0.375 or 3/8.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (35 - 20)/(40 - 0)

Slope, m = 15/40

Slope, m = 0.375 or 3/8.

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Answer:

B

HOPE THIS HELPS

To evaluate whether x or o won the tic tac toe game, we need to check for the three possible winning conditions:
- A horizontal row of three x's or o's
- A vertical column of three x's or o's
- A diagonal of three x's or o's

Here's the step-by-step process:

1. Read in the first number from the file, which represents the number of data sets to follow.
2. For each data set, read in the 9 letter string representing the tic tac toe game.
3. Check for the three winning conditions by comparing the values in the string.
4. If any of the winning conditions are met, return the winning player (x or o).
5. If none of the winning conditions are met, return "No winner".

Here's the code in Python:

```
# Read in the first number from the file
num_data_sets = int(input())

# Loop through each data set
for i in range(num_data_sets):
 # Read in the 9 letter string
 game = input()

 # Check for the three winning conditions
 if (game[0] == game[1] == game[2]) or (game[3] == game[4] == game[5]) or (game[6] == game[7] == game[8]) or (game[0] == game[3] == game[6]) or (game[1] == game[4] == game[7]) or (game[2] == game[5] == game[8]) or (game[0] == game[4] == game[8]) or (game[2] == game[4] == game[6]):
   # If any of the winning conditions are met, return the winning player
   print(game[0])
 else:
   # If none of the winning conditions are met, return "No winner"
   print("No winner")
```

This code will read in the values for a tic tac toe game and evaluate whether x or o won the game.

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1.) Skewed left

2.) a. z-score = 0.54
    b. z-score = 0.77

    c. z-score = -0.77
3.) a. z-score = 1.24

    b. Large Chain

    c. Local Brewery

4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

     b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

What is the z-score?

In statistics, the z-score, also known as the standard score, is a measure of how many standard deviations an observation or data point is above or below the mean of the data set.

1.)

Skewed Left, since the possible values are clustered towards the upper limit of 330 ml, and it is impossible to fill the bottle with more than 330 ml.

2.)

a. z-score = (328.6 - 328.3) / 0.9 * √6 = 0.54

b. z-score = (328.6 - 328.3) / 0.9 * √12 = 0.77

c. z-score = (327.9 - 328.3) / 0.9 * √1 = -0.77

3.)

a. z-score = (328.6 - 328) / 0.7 * √6 = 1.24

b. Large Chain, since the z-score for the large chain is higher, indicating a larger average fill for the bottles in the six-pack.

c. Local Brewery, since the z-score for the local brewery is lower, indicating a smaller average fill for the bottles in the twelve-pack.

4.)

a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

Hence,

1.) Skewed left

2.) a. z-score = 0.54
    b. z-score = 0.77

    c. z-score = -0.77
3.) a. z-score = 1.24

    b. Large Chain

    c. Local Brewery

4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

     b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

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Answer:

I ammm really sorry for the question

i don't know sorry

The placebo effect refers to an experiment where neither the participants nor the experimenters know who belongs to the treatment group and who belongs to the control group. As a​ result, it is impossible for the experiments to link certain effects to certain​ patients, which make the results difficult to interpret.

What is the placebo effect is an experimental study refers to the?

The placebo effect is a phenomenon where people report real improvement after taking a fake or nonexistent treatment, called a placebo. Because the placebo can't actually cure any condition, any beneficial effects reported are due to a person's belief or expectation that their condition is being treated.

Hence , The placebo effect refers to an experiment where neither the participants nor the experimenters know who belongs to the treatment group and who belongs to the control group. As a​ result, it is impossible for the experiments to link certain effects to certain​ patients, which make the results difficult to interpret.

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C. A placebo refers to a situation in which a patient improves simply because they believe they are receiving a useful treatment.

Answer:

5:1

Step-by-step explanation:

d_a = 20

d_b = 5

Equation for the circumference of a circle:

C = pi*d

C_a = pi * d_a

C_a = pi*20

C_b = pi * d_b

C_b = pi * 5

Ratio of C_a to C_b = C_a/C_b

C_a/C_b = (pi * 20)/(pi * 4) = 5:1

Answer:

3. Initial cost = 99 dollars.  Each hour (h) is 19 dollars. The total value will be initial cost + hours*(cost per hour)=> t=99+19h.

4. She will be using the car for 3 days. Each day costs 29.99. There is no initial cost, so her total cost will be 29.99*3=89.97 dollars.

The solution for the table has been provided below. It has been obtained by using arithmetic operations.

What are arithmetic operations?

Mathematicians claim that all real numbers may be described using the four basic operations, also referred to as "arithmetic operations." The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.

We are given a table of the number of crafts x and the number of ounces y.

x        4          9         7            6            5           5            4           8

y        19        46       30          31          23         28          21         42

xy     76       414      210        186        115         140        84         336

x²       16       81         49         36         25          25         16          64

y²       361     2116     900      961        529        784       441        1764

Hence, the table has been completed.

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Answer:

When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:

Date: Oct - 1

Account: Cash

Account Number: 1000

Debit: $8000

Credit: $0

The dimension of the square metal sheet is x = 4 ft

Dimensions are the measure of a physical property of an object such as length, width or height.

Since an open box is to be constructed from a square sheet of metal with dimensions x feet by x feet by removing a square of side 1 foot from each corner and turning up the edges.

The volume V of the box is V(x) = (x - 2)².

To find the dimensions of the sheet metal needed to make a box that will hold 4 cubic feet by solving the equation V(x) = 4, we make V(x) = 4 and solve the equation.

So,  V(x) = (x - 2)².

(x - 2)² = 4

Taking square roots of both sides, we have that

√(x - 2)² = ±√4

x - 2 = ±2

x = 2 ± 2

x = 2 - 2 or x = 2 + 2

x = 0 or x = 4

Since the dimension cannot be 0, x = 4

So, the dimension of the sheet is x = 4 ft

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A. The height of the cuboid is 2.5 cm.

B. The suggested dimensions of the cuboid is 25 x 5 x 1.

The volume of a given three dimensional figure is the total quantity of matter that it can contained. Thus various figures has different methods of determining their volume.

volume of a cube = length x length x length

                             = (length)^3

volume of a cuboid = length x width x height

Considering the given question, since the volumes of the cube and cuboid are the same, then we have:

volume of a cube = volume of a cuboid

(length)^3 = length x width x height

5^3 = 10 x 5 x height

125 = 50 x height

height = 125/ 50

           = 2.5

The height of the cuboid is 2.5 cm.

B. volume of the cuboid = length x width x height

                          = 10 x 5 x 2.5

                          = 125 cm^3

Thus possible dimensions for the cuboid 25 x 5 x 1.

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Answer:

To determine how many loaves will not meet quality standards on Tuesday, we need to count the number of integers in the sample that are between 1 and 50, inclusive. From the given sample, we can see that there are 2 integers that fall between 1 and 50: 47 and 4. Therefore, we can predict that 2 loaves will not meet quality standards on Tuesday.

To calculate the difference between the number of sub-standard loaves produced on Monday and the number predicted to be sub-standard on Tuesday, we need to subtract the number of sub-standard loaves on Monday from the number predicted for Tuesday.

Number of sub-standard loaves on Monday = 50

Number predicted to be sub-standard on Tuesday = 2

Difference = 2 - 50 = -48

The difference is -48, which means that there were 48 fewer sub-standard loaves predicted on Tuesday than the number produced on Monday.

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

In the parallelogram ABCD the measure of ∠BEC is obtained as 113°.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

It is given that ABCD is a parallelogram.

The measure of ∠EAD = 30°.

The measure of ∠EDA = 37°.

In the parallelogram ∠EBC = ∠EDA as they form alternate interior angles pair.

Similarly, ∠ECB = ∠EAD as they form alternate interior angles pair.

The measure of ∠ECB = 30°.

The measure of ∠EBC = 37°.

Since EBC forms a triangle, so the sum of the angles of a triangle is 180°.

The equation is -

∠ECB + ∠EBC + ∠BEC = 180°

Substitute the values into the equation -

30° + 37° + ∠BEC = 180°

67° + ∠BEC = 180°

∠BEC = 180° - 67°

∠BEC = 113°

Therefore, the measure of ∠BEC = 113°.

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The two solutions are (1, 1/7) and (3.36, 1)

Assume that you spend some time walking (t_w) and some time canoeing (t_c) to cover a 30-mile trip. We can use the following formula to relate the time spent walking and canoeing:

distance = speed × time

For the walking part of the trip, the distance covered is (30 - d), where d is the distance covered by canoeing. We know that the walking speed is 4 mph, so we can write:

(30 - d) = 4t_w

For the canoeing part of the trip, the distance covered is d. We know that the canoeing speed is 7 mph, so we can write:

d = 7t_c

We also know that the total time spent on the trip is:

t_w + t_c

So, the constraint equation is:

t_w + t_c = 30/4 + 30/7

Simplifying this equation, we get:

11t_w - 7t_c = 30

Now, to determine two solutions, we can arbitrarily assign a value to one of the variables and then solve for the other. Let's assume t_w = 1, then we get:

11(1) - 7t_c = 30

7t_c = 1

t_c = 1/7

So, one solution is t_w = 1 and t_c = 1/7.

Similarly, assuming t_c = 1, we get:

11t_w - 7(1) = 30

11t_w = 37

t_w = 3.36

So, another solution is t_w = 3.36 and t_c = 1.

To graph the equation, we can plot t_w on the x-axis and t_c on the y-axis, and then plot the line 11t_w - 7t_c = 30. The two solutions will be the points of intersection of the line with the axes.

The two solutions are (1, 1/7) and (3.36, 1).

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Answer:

x ≈ 2.7 m

Step-by-step explanation:

since the 2 triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{x}{1.6}[/tex] = [tex]\frac{4}{2.4}[/tex] ( cross- multiply )

2.4x = 4 × 1.6 = 6.4 ( divide both sides by 2.4 )

x = [tex]\frac{6.4}{2.4}[/tex] = 2.6666...

height of statue x ≈ 2.7 m ( to 1 decimal place )

Answer:

16Ft

Step-by-step explanation:

We can use proportions to solve this problem.

Let's let "x" be the height of the flagpole. We know that the sign is 4 feet high, and it casts a shadow of 1 1/4 feet. So we can set up the proportion:

4/1.25 = x/5

Simplifying the left side of the equation, we get:

4/1.25 = 16/5

Substituting into the original equation, we have:

16/5 = x/5

Multiplying both sides by 5, we get:

16 = x

Therefore, the height of the flagpole is 16 feet.

Answer:

[tex]f(x)=\frac{1}{x}[/tex]

Step-by-step explanation:

You are looking for a function that when you plug g(x) into f(x), you get the result of h(x).

If we define f(x) as 1/x then that would mean when we plug in g(x) we would get h(x) = 1 / (x-3), which is what we're looking for.

Answer:

Step-by-step explanation:

The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. In each of the given expressions, we can use the Distributive Property to expand the expression by multiplying the coefficient outside the parentheses to each term inside the parentheses, and then adding the resulting products. This results in an equivalent expression that is simplified but has the same value as the original expression.

Answer:

Step-by-step explanation:

6(x+4)

Distribute 6 between the terms x and 4 as:

6(x)+6(4)

=6x+24

2(5+r)

Distribute 2 between the terms 5 and r as:

2(5)+2(r)

=10+2r

11(n+3)

Distribute 11 between the terms n and 3 as:

11(n)+11(3)

=11n+33

The sum of the given series is -

6 ∑{1/(2n + 1)² - 1}.

Integration is a process of adding up small elemental volumes to find the larger volume.

Given is the series as -

6/(3² - 1) + 6/(5² - 1) + 6/(7² - 1) + ....

The given series is -

S = 6/(3² - 1) + 6/(5² - 1) + 6/(7² - 1) + ....

S = 6{1/(3² - 1) + 1/(5² - 1) + 1/(7² - 1) + ....}

S = 6 ∑ {1/(2n + 1)² - 1}

Therefore, the sum of the given series is -

6 ∑{1/(2n + 1)² - 1}.

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The solution of the system of equations is

A system of equations are a pair of equations.

Given the system of equations

4/x - 2/y = 12 (1) and

5/x + 1/y = 8 (2)

We proceed to solve as follows.

Since we have

4/x - 2/y = 12 (1) and

5/x + 1/y = 8 (2)

Multiplying equation (1) by 1 and equation (2) by 2, we have that

4/x - 2/y = 12 (1) × 1 and

5/x + 1/y = 8 (2) × 2

4/x - 2/y = 12 (4)  and

10/x + 2/y = 16 (5)

Now, adding equations (4) and (5), we have that

4/x - 2/y = 12 (4)  

+

10/x + 2/y = 16 (5)

14/x = 28

14 = 28x

x = 14/28

x = 1/2

Substituting x = 1/2 into equation (1), we have that

4/x - 2/y = 12 (1)

4/(1/2) - 2/y = 12 (1)

4 × 2 - 2y = 12

8 - 2y = 12

-2y = 12 - 8

-2y = 4

y = 4/-2

y = -2

So,

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The equation is true for all real numbers, and therefore the solution set is (C) all real numbers.

In arithmetic, a solution to the equation expresses can be replaced for the variable to provide a piece of real number information.

We can start simplifying the equation using the distributive property:

4(6x - 4) = 8(3x - 2)

24x - 16 = 24x - 16

We can see that both sides of the equation are identical, so the equation is an identity. This means that the equation is true for all real numbers, and therefore the solution set is all real numbers.

In other words, any value we choose for x will make the equation true.

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The complete question would be as:

How many solutions have the below equation?

4(6x - 4) = 8(3x - 2)

A. one solution.

B. no solution.

C. all real numbers.

Answer:

16 units.

------------------

According to triangle inequality theorem, any side of a triangle is less than the sum of the other two.

Let the missing side is largest, then it must be less than:

The closest whole number less than 17 is 16.