Soluciona los siguientes problemas construyendo sistemas de ecuaciones. recuerda detallar el paso a paso.

a) 6 entradas para el cine 4D y 5 entradas para el cine 2D $22.700 y 5 entradas para el cine 2D y 4 entradas para el cine 4D costaron $18.000 ¿Cuánto costaron las entradas para cine 2D Y 4D?

The given system of differential equations is:

y1' = y1 + 3y2

y2' = 3y1 + y2

We need to verify that the functions:

y1(t) = c1e^(ut) + c2e^(-2t)

y2(t) = c1ue^(ut) - c2e^(-2t)

satisfy the system. In part (a), we find the value of each term in the equation y1' = y1 + 3y2 in terms of the variable f. In part (b), we find the value of each term in the equation y2' = 3y1 + y2 in terms of the variable f.

(a) To find the value of each term in y1' = y1 + 3y2, we differentiate y1(t) with respect to t. The derivative of c1e^(ut) is c1ue^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y1' = c1ue^(ut) - 2c2e^(-2t) + 3(c1ue^(ut) - c2e^(-2t))

Combining like terms, we get:

y1' = (2c1u + 3c1u)e^(ut) + (-2c2 - 3c2)e^(-2t)

(b) Similarly, we differentiate y2(t) with respect to t. The derivative of c1ue^(ut) is c1u^2e^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y2' = c1u^2e^(ut) - 2c2e^(-2t) + 3(c1e^(ut) + c2e^(-2t))

Combining like terms, we get:

y2' = (c1u^2 + 3c1)e^(ut) + (-2c2 + 3c2)e^(-2t)

Therefore, the value of each term in y1' = y1 + 3y2 is given by:

Term 1: (2c1u + 3c1)e^(ut)

Term 2: (-2c2 - 3c2)e^(-2t)

And the value of each term in y2' = 3y1 + y2 is given by:

Term 1: (c1u^2 + 3c1)e^(ut)

Term 2: (-2c2 + 3c2)e^(-2t)

These results verify that the functions y1(t) and y2(t) satisfy the given system of differential equations.

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Answer:

x = 17

Step-by-step explanation:

(17+1) 2 - 36 = 0

If you don't think this is right, you may clarify it by plugging it in and multiplying :) thank you for your time <3

Answer:

x=17

Step-by-step explanation:

Volume of a cube = L^3 where L is the length of a cube

Given number of cubes = 17,576

Substitute in the formula above;

17,576 = L^3

Take cube root of both sidesTake cube root of bi=oth sidess

L^3 = 17,576

Hence 26 smaller cubes make up the edge of the sculpture

Answer: y = 8/3x + 4

Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

Answer:

50% are boys

Step-by-step explanation:

Total number of kids: 18+15=33

Percent of boys: 15/33=0.4545 repeating

0.4545 rounded to tenth: 0.5

0.5 to percent: 50%

Answer:

Put

\(x < - 2 - 2y\)

Then put some of value to y and get x then we can graph it

Check the template in the picture below.

\(f(x)=-4x+7\hspace{5em} \begin{array}{ccccccccllllllll} &A&B&&C&D \\ f(x)=&-4(&1&x&+0)&+7\\ shifted&&-1&&&+4\\ &-4(&-1&x&+0)&+11 \end{array}\\\\ ~\hspace{17em}-4(-x)+11\\\\ ~\hspace{14em}f(x) = 4x+11\)

notice, for the reflection across the y-axis we simply make B negative, and for the shift we simply add 4 to D.

GIven:

To Determine: The equivalent of the given expression

Distributing the sign outside as shown below:

Hence, the equivalent expression by distributing the sign outside the given expression is:

8.4n+1

Answer:

6.75

Step-by-step explanation:

hope it helps mark as brainliest

Answer:

$6.75

Step-by-step explanation:

Take $45 by .15 and multiply them. You will get $6.75

Answer:

264

Step-by-step explanation:

End result 200,

200 minus 68 added is 132, go back a day with double the chips is 264

The situation that probably does not have a lurking variable operating in some way is, option D: Neighborhoods with more station wagons tend to have more playgrounds. So, the correct option is, option D.

This is because it is unlikely that there is a hidden variable that is causing both the presence of station wagons and the presence of playgrounds. It is possible that neighborhoods with more families and children tend to have both more station wagons and more playgrounds, but this is not a hidden variable as it is already known and understood.

In contrast, the other options all involve relationships between variables that could be explained by a hidden variable.

For example, in option A, it is possible that the lurking variable is the weather, which affects both the sales of cold medication and the sales of ice cream.

Similarly, in option E, the lurking variable could be the overall economic health of the town, which affects both the number of teachers and the sales of floor wax and cat litter.

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The overall answer of three parts :

The slope is positive. As the size of the home​ increases, the price should also increase.

(a) The variables and units in this regression are:

i) Size of homes ( x )  ( measured in \(ft^2\) )

ii) Selling price in ( y ) ( measured in dollars )

(b) Units of the slope will be :

unit of slope = dollar per square foot (i.e.  y / x )

(c) According to the above slope

The slope will be positive given that the increase of home size is directly proportional to the increase in price.

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The given question is incomplete, complete question is:

A random sample of records of sales of homes from February 15 to April 30, 1993, from the files maintained by the Albuquerque Board of Realtors gives the Price and Size (in square feet) of 117 homes. A regression to predict Price (in thousands of dollars) from Size has an R-squared of 71.4%. The residuals plot indicated that a linear model is appropriate.

Required:

a. What are the variables and units in this regression?

b. What units does the slope have?

c. Do you think the slope is positive or negative? Explain.

Answer:

66

Step-by-step explanation:

multiply both sides by 6 and get x=11x6=66

The {V1, V2} is a basis for H, since V3 can be expressed as a linear combination of V1 and V2.

To find a basis for H, we need to first determine which vectors in {V1, V2, V3} are linearly independent and which vectors can be expressed as linear combinations of the others.

We can start by setting up a matrix A with the three vectors as columns:

A = [V1 V2 V3] =

[1 7 13]

[-9 -6 -2]

[7 -8 -4]

Next, we can use Gaussian elimination to row-reduce the matrix A to its echelon form:

[A | I] =

[ 1 7 13 | 1 0 0 ]

[-9 -6 -2 | 0 1 0 ]

[ 7 -8 -4 | 0 0 1 ]

R2 = R2 + 9R1, R3 = R3 - 7R1:

[A | I] =

[ 1 7 13 | 1 0 0 ]

[ 0 51 111 | 9 1 0 ]

[ 0 -63 -99 |-7 0 1 ]

R3 = R3 + (63/51)R2:

[A | I] =

[ 1 7 13 | 1 0 0 ]

[ 0 51 111 | 9 1 0 ]

[ 0 0 (618/17)| 214/17 (63/51) 1/17 ]

The echelon form of A shows that the columns of A are linearly independent. Since 4V1 + 5V2 - 3V3 = 0, we can express V3 as a linear combination of V1 and V2:

V3 = -4/3 V1 - 5/3 V2

Therefore, {V1, V2} is a basis for H, since V3 can be expressed as a linear combination of V1 and V2.

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Answer:

Step-by-step explanation:

1-2(2x+1)=1-(x-1)

-1(2x+1)=1-(x-1)

-2x-1=1-x-1

-2x+x=0+1

-x=1

x=-1

Answer:

Q=33/10-r/10 R=33−10q

Step-by-step explanation:

Espero que sea correcto para ti también puedes hacerme más inteligente si es correcto

Answer:

35s-22

Step-by-step explanation:

Perimeter is found by adding the length of all sides.

(8s-8)+(9s-10)+(9s-2)+(9s-2)

35s-22

The three-point technique, also known as the three-point estimation or the PERT (Program Evaluation and Review Technique), is a project management tool used to estimate the duration or effort required for completing a task or project.

It involves estimating three values for a specific task - the optimistic estimate (O), the most likely estimate (M), and the pessimistic estimate (P).

These   three estimates are thenused to calculate the expected estimate (E) using the formula: E = (O + 4M + P) / 6.

The three-point technique   is important because it provides a more realistic andreliable estimate by considering both best-case and worst-case scenarios, leading to better planning and decision-making in project management.

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Answer:

No it is not a collection of well defined and distinct objects

Hope this helps <3

The probability that the supply of circuit boards will be exhausted before the order is received if boards are reordered is 100%.

Let X be the number of days between ordering and arrival. X follows a normal distribution with mean μ = 5 days and standard deviation σ = 1.3 days.

The company says he uses 86 boards a day, and when the inventory drops to 655, the person who orders the boards reorders. So the lead time between orders is:

L = (655 boards) / (86 boards/day) = 7.6163 days

Let Y be the number of boards used during the shipping time between orders. Then Y follows a normal distribution with mean μY = (86 boards/day) × L = 656.9960 boards and standard deviation σY = sqrt(L × (86 boards/day) × (1 day)) = 8.3572 boards. The number of panels when ordering is as follows.

N = (655 boards) + E(Y) = (655 boards) + (μY) = 1311.9960 boards

The number of boards available at the time of order is as follows:

M = N + 86(5 + X) - Y

Find the probability that M is less than or equal to 0. is equivalent to:

N + 86(5 + X) - Y ≤ 0

Substituting the values ​​for N, Y, and their standard deviations, we get:

1311.9960 + 86(5 + X) - 656.9960 ≤ 0

Simplified, it looks like this:

X ≥ -4.7881

Therefore, the probability of PCB shortage before receiving an order is the probability that X is greater than or equal to -4.7881. This probability can be calculated using the standard normal distribution.

P(Z ≥ -3.6839) = 1 - P(Z ≤ -3.6839) = 1 - 0.000078 = 0.999922

Rounding to the nearest integer percentage gives a probability of 100%.

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Answer: 3/5 or 60% chance of not drawing red

Step-by-step explanation:

12 red

13 green

5 blue

30 total

30 - 12 = 18

so 18/30 or 3/5

Answer:

\(y=\frac{1}{2}x+2\)

Step-by-step explanation:

Since, the graph of the function is a straight line, function defining this function will be a linear function.

Let the equation of the line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph,

b = 2

And two points (0, 2) and (-2, 1) lie on this line.

Slope 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)

               = \(\frac{2-1}{0+2}\)

               = \(\frac{1}{2}\)

Now the equation will be,

y = \(\frac{1}{2}x+2\)

The number 24.5 in Roman numerals is XXIV. The Roman numeral system is a numeral system that originated in ancient Rome and was used in the Roman Empire and Europe until the 14th century.

It is a numeric system that uses specific letters from the alphabet to represent different numbers.To express decimal numbers in Roman numerals, a vinculum is used.

This is a horizontal line placed above the letters that represent the number being multiplied by 1000.

Therefore, to convert 24.5 into Roman numerals, we separate 24 into two parts:

20 and 4.5. 20 is represented by XX, while 4.5 is represented by the half symbol s, which is indicated by placing a horizontal line above the previous number.

Thus, 24.5 is represented as XXIVSs. Note that the use of the half symbol (s) is not universal in Roman numerals, and there are different ways to express decimal numbers in Roman numerals.

However, the use of the vinculum is one of the most common ways to represent decimal numbers in this numeral system.

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Answer:

A is your answer because you would need divide 117 by 6 then add 6.95 to each appetizer to get 26.45.

The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.

In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.

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Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonantes.

Step-by-step explanation:

es sonante

Answer:

£120

Step-by-step explanation:

Given that

The price after reduction = £78

So, 65% = £78.

We have to calculate 100 %

To do so, find 5% and multiply that by 20

65% = £78

5% = 78/13 = £6

So, 100% = 6 x 20 = £120

Hope this helps.

Good Luck

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Answer:

7:45

Step-by-step explanation:

2 hours and 15 minutes can also be written as

2:15

if the movie takes 2:15 long and begins at 5:30, add both which is. 5:30+2:15

=7:45

therefore the movie ended at 7 hours and 30 minutes which can also be written as7:45