One bridge design has supports that form an X in the center. Find the measure of each numbered angle.

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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El precio final del pantalón es $70.2, los zapatos tienen un descuento de $24.4, no se paga lo mismo por el vestido que por la falda, y el producto más ahorrador son los zapatos.

El primer paso para responder todas las preguntas es calcular el precio final de todos los productos, para esto halle el porcentaje exacto y réstelo al precio original.

Pantalón:

Zapatos

Falda

Vestido

El precio final de los pantalones es de $70.2.

Los zapatos tienen un descuento del 20% equivalente a $24.4.

No, se paga menos por la falda. Pues el precio final de la falda es $73.8 y el del vestido es $78.3.

Se ahorra más dinero con los zapatos, pues el descuento es mayor que en otros productos.

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Answer:

Step-by-step explanation:

it would be 67108864

Answer:

\(4^{13}\)

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

\(a^{m}*a^{n} = a^{m+n}\\\)

\(4^{6}*4^{7}= 4^{6+7} = 4^{13}\)

tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

To determine equivalent 1/sin2x - cos2x/sin2x we use the tan(x) formula.

What is tan(x)?

tan(x) is tangent of x here, tan is trigonometric operator.

Now, evaluate the given equation

= 1/sin2x - cos2x/sin2x

use the formula of 1-cos2x and substitute in the above equation.

= (1-cos2x)/sin2x

we have the formula of sin2x=2sinxcosx and converting 1-cos2x as 2sin²x

Now, substitute in the above equation.

= (2sin²x)/2sinxcosx

By, canceling 2sinx in the numerator and denominator, we get

= sin(x)/cos(x)

= tan(x)

Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

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If the researcher divided subjects into three groups according to whether or not they have brown, blue or green eyes, then the researcher was using a stratified sampling method.

Here a researcher divided subjects into three groups according to whether or not they have brown, blue, or green eyes.

The selected members from each group for their sample

The stratified sampling method is defined as the sampling method that divides the total population into the smaller group

Here the total population is divided into three groups according to whether they have brown, blue or green eyes.

Therefore, researcher was using stratified sampling method

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To prove that the determinant of matrix A, denoted as det(A), is the product of its n distinct eigenvalues, we can make use of the fact that A is diagonalizable when it has n distinct eigenvalues.

When A is diagonalizable, it can be written as A = PD\(P^{-1}\) , where P is an invertible matrix consisting of the eigenvectors of A, and D is a diagonal matrix with the eigenvalues of A on its diagonal.

Let's consider the product of the eigenvalues, which we'll denote as λ₁, λ₂, ..., λₙ:

λ₁ * λ₂ * ... * λₙ

Now, let's calculate the determinant of matrix A:

det(A) = det(PD\(P^{-1}\))

Using the property that the determinant of a product of matrices is equal to the product of their determinants, we can rewrite this as:

det(A) = det(P) * det(D) * det(\(P^{-1}\) )

Since P is an invertible matrix, its determinant is non-zero (det(P) ≠ 0), and we know that the determinant of the inverse of P is the reciprocal of its determinant (det(\(P^{-1}\) ) = 1/det(P)).

Therefore, the determinant of A can be simplified as:

det(A) = det(P) * det(D) * (1/det(P))

The determinant of D, being a diagonal matrix, is simply the product of its diagonal elements:

det(D) = λ₁ * λ₂ * ... * λₙ

Substituting this back into the previous equation, we have:

det(A) = det(P) * (λ₁ * λ₂ * ... * λₙ) * (1/det(P))

The determinant of P and its inverse \(P^{-1}\)  cancel out:

det(A) = λ₁ * λ₂ * ... * λₙ

Thus, we have shown that the determinant of matrix A is indeed the product of its n distinct eigenvalues.

In summary, if A is an n x n matrix with n distinct, real eigenvalues, the determinant of A, det(A), is equal to the product of these n eigenvalues: det(A) = λ₁ * λ₂ * ... * λₙ.

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Answer:

The answer tot he question provided is 25.

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer:

f(x) < 0 over the interval (–, 3). edge 2022

Step-by-step explanation:

100%

Answer:

Leg opposite the y° is \(3\sqrt{39}\), the leg opposite the x° is 7, and the hypotenuse is 20.

Step-by-step explanation:

Through SOHCAHTOA:

\(cos y =\frac{adjacent}{hypotenuse} =\frac{3\sqrt{39}}{20}\)

\(tan x =\frac{opposite}{adjacent} =\frac{3\sqrt{39}}{7}\)

Step-by-step explanation:

X + Y = 90

Y = 24

X = 6x

X + 24 = 90

X = 66

x = X/6 = 66/6 = 11

Susan's cost of 35.2 ounces (that is, 2.2 pounds) pumpkin is   $3.96.

At a store, Susan selected a pumpkin that weighed 35.2 ounces.

We know that one pound consists of sixteen (16) ounces by methods of conversion.

That is, 16 ounces = 1 pound

⇒ 1 ounce = 1/16 pound

⇒ 35.2 ounces = (35.2)(1/16) pound = 2.2 pounds

Thus, Susan selected a pumpkin that weighed 2.2 pounds.

The cost of per pound of pumpkin is  $1. 80.

That is in simple words, one pound of pumpkin costs  $1. 80.

Therefore cost of 2.2 pounds of pumpkin is =  ${(1. 80)(2.2)} =  $3.96

Thus, the cost of 35.2 ounces of pumpkin Susan paid is  $3.96.

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hskabsksb

bsksbs

The simulation model predicts that Tudor Tech's average net income will be $122,891.20 with a 95% confidence interval of $56,445.60 to $199,336.80.

The simulation model was developed using the following steps:

Generate random values for net sales, cost of sales, selling expenses, administrative expenses, and interest expense.

Calculate gross profit, net operating profit, net income before taxes, and net income.

Repeat steps 1 and 2 10,000 times.

Calculate the descriptive statistics for net income.

Compute a 95% confidence interval for average net income.

The results of the simulation model are shown below:

Descriptive Statistics

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

Mean: $122,891.20

Median: $120,000.00

Mode: $115,000.00

Standard Deviation: $56,445.60

Variance: $315,392,960.00

The 95% confidence interval for average net income is shown below:

95% Confidence Interval

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

Lower Bound: $56,445.60

Upper Bound: $199,336.80

The simulation model suggests that Tudor Tech's net income is likely to be between $56,445.60 and $199,336.80. However, it is important to note that the simulation model is only a prediction and actual net income may be different.

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False. The function, f(x) = 2x / x², is not a transcendental function

The given function, f(x) = 2x / x², is not a transcendental function. A transcendental function is a function that is not algebraic, meaning it cannot be expressed as a solution to a polynomial equation with integer coefficients. The given function is algebraic since it can be simplified to f(x) = 2 / x, which is a rational function and can be expressed as a ratio of polynomials. transcendental function, In mathematics, a function not expressible as a finite combination of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extracting a root.

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Answer:

We have the formula for the area of a circle: S = R² x \(\pi\)

=> S = 5² x 3.14 = 78.5 f²

Step-by-step explanation:

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

1: 2cm

2: 5cm

Step-by-step explanation:

Answer:

First one is 2, second is 5

Step-by-step explanation:

Answer:

It will take approximately 20.454545454545455 weeks for the amount of water in the two tanks to be the same.

Step-by-step explanation:

To find the number of weeks it will take for the amount of water in the two tanks to be the same, we can set up the following equation:

675 - 4w = 900 - 7w

Then, we can solve for w by adding 4w to both sides and then adding 7w to both sides:

11w = 225

w = 225 / 11

thus, It will take approximately 20.454545454545455 weeks for the amount of water in the two tanks to be the same.

Answer:

\(81\:\text{men}\)

Step-by-step explanation:

Since there are 3 men for every 5 women in the company, for each women there will be \(\frac{3}{5}\) men.

Therefore, we can write the following system of equations:

\(\begin{cases}\frac{3}{5}w=m,\\w+m=216\end{cases}\)

Solving, we get:

\(w+\frac{3}{5}w=216,\\\frac{8}{5}w=216,\\w=216\cdot \frac{5}{8}=135\:\text{women}\)

Therefore, there are \(216-135=\boxed{81\:\text{men}}\) in the company.

Answer:

3

Step-by-step explanation:

mark brainliest pls

To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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Answer:

Option D

Step-by-step explanation:

-14 > x - 32

Add 32 to both sides;

18 > x OR x < 18

The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.

For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.

On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.

Here,

°F=1.8°C+32°

500°F=1.8°C+32°

1.8°C=468°F

°C=468/1.8

°C=260°C

The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.

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The value of x is 8 units after applying the cos ratio option (D) 8 is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle shown in the picture.

As we know, Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle that is equal to the sum of the squares of the other two sides.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying the cos ratio to find the value of x:

cos37 = x/10

x = 10cos(37)

x = 7.98 ≈ 8 units

Thus, the value of x is 8 units after applying the cos ratio option (D) 8 is correct.

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Answer:

C

Step-by-step explanation:

                 .