Y is the midpoint of XZ and W is the midpoint of VX. If VZ = s + 14 and WY = s, what is the value of s?

Answer:

It will land 7.5 times on tails, which is rounded up to 8 times

Step-by-step explanation:

there are 2 possibilities, heads or tails

so you divide 15 in 2 and get 7.5

The coin will land 7 times tail based on the experimental probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

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After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Answer:

x = 3, y = 3

(3, 3)

Explanation:

Given the below equations;

Let's go ahead and solve this simultaneously using the substitution method. To do this, we have to substitute the x = y into the 1st equation and find y;

Since y = 3 and from the 2nd equation we have that x = y, so x is also equal to 3.

The completion of the following table under different depreciation methods is as follows:

Method                           Year 1                     Year 2

Straight line                   $18,000                 $18,000

Units of production      $54,000                 $13,500

Declining balance        $37,600                $22,560

MACRS (5-year class)   $18,800                $30,080

Cost of machine = $94,000

Residual value = $4,000

Depreciable value = $90,000 ($94,000 - $4,000)

Estimated useful life = 5 years

Depreciation expense:

Straight-line method = $18,000 ($90,000/5)

Estimated units of produciton = 100,000

Unit depreciation rate = $0.90

Actual production   Depreciation

Year 1 = 60,000      $54,000 ($0.90 x 60,000)

Year 2 = 15,000      $13,500 ($0.90 x 15,000)

Declining Balance:

Year 1 = $37,600 ($94,000 x 40%)

Year 2 = $22,560 ($94,000 - $37,600) x 40%

MACRS:

Year 1 = $18,800 ($94,000 x 20%)

Year 2 = $30,080 ($94,000 x 32%)

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer:

n = -5

Step-by-step explanation:

Okay, here we have this:

Considering the provided information, we obtain the following:

a)

As,

Step-by-step explanation:

x+85+x+44+63=180(sum of angles of a triangle)

or,2x+192=180

or,2x=180-192

or,x=-12

Angle A=x+44

=-12+44

=32°

Give brainliest plse .

The derivative of the function \(-4^x\) is \(-4^{x}log4\).

The definition of a derivative in mathematics is a technique for displaying the simultaneous rate of change. The amount by which the given function is changing at a particular point is thus represented by it.

The derivative of the function will be calculated as:-

\(y = -4^x\)

Take logs on both sides,

logy = -xlog4

Differentiate both sides with respect to x.

(dy / dx)logy = dy / dx [ -xlog4 ]

(dy/dx) x ( 1 / y) = -x (0) + log(4) x -1

dy /dx = y x -log(4)

dy / dx = \(-4^x\)logx

Therefore, the solution will be  \(-4^{x}log4\).

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Answer:

38%

Step-by-step explanation:

I learned in class on Friday.

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

\(0.38\times \dfrac{100}{100}\)

\(= (0.38 \times 100) \times \dfrac{1}{100} =\dfrac{38}{100}\)

Write in percentage notation: 38%

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

$26.40

ten percent is 88 divided by 10= 8.8

8.8 multiplied by 3 is 26.40

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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The required expression equal to \($\csc\left(\frac{4\pi}{9}\right)$\) using a cofunction is: \(\begin{equation}\frac{1}{\cos\left(\frac{5\pi}{18}\right)}\end{equation}\)

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions—also known as the circular functions—that make up trigonometry.

The cofunction of sine is cosine, which means:

\($\begin{equation}\csc(\theta) = \frac{1}{\sin(\theta)} = \frac{1}{\cos\left(\frac{\pi}{2}-\theta\right)}\end{equation}\)

Therefore, we can express \($\csc\left(\frac{4\pi}{9}\right)$\) as:

\($\begin{equation}\csc\left(\frac{4\pi}{9}\right) = \frac{1}{\sin\left(\frac{4\pi}{9}\right)} = \frac{1}{\cos\left(\frac{\pi}{2}-\frac{4\pi}{9}\right)}\end{equation}\)

Simplifying the argument of the cosine function:

\($\begin{equation}\frac{\pi}{2}-\frac{4\pi}{9} = \frac{5\pi}{18}\end{equation}\)

Substituting this back into the equation, we get:

\($\begin{equation}\csc\left(\frac{4\pi}{9}\right) = \frac{1}{\cos\left(\frac{5\pi}{18}\right)}\end{equation}\)

Therefore, an expression equal to \($\csc\left(\frac{4\pi}{9}\right)$\) using a cofunction is:

\(\begin{equation}\frac{1}{\cos\left(\frac{5\pi}{18}\right)}\end{equation}\)

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Answer: d.  dominio / recorrido

Step-by-step explanation:

Una relación matemática mapea los elementos de un dado conjunto, en elementos de otro conjunto.

Los elementos de entrada vienen de un conjunto llamado dominio, y los elementos de salida son de un conjunto llamado rango.

Tal que un sinónimo de rango, es recorrido.

Entonces podemos decir que una relación mapea los elementos del dominio en elementos del recorrido.

La opción correcta es d

Answer:

B

Step-by-step explanation:

Answer

-3

Step-by-step explanation:

on edge 2020

The answer is B 0.3 because its 3/10 and all of the others is lesss

Answer:

5

Step-by-step explanation:

substitute the variables for their values.

3(4)-2/(2)

3x4=12

12-2/2

12-2=10

10/2        

10/2=5

so 5 would be the answer

The two consecutive integers such that their sum is 141 will be 70 and 71.

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say that two consecutive integers are x and x + 1.

x + x + 1 = 141

2x + 1 = 141

2x = 140

x = 70

So, x + 1 = 71

Thus, it will be 70 and 71.

Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".

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If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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The cardinality of the set indicated in the task content is; 11.

It follows from the task content that the cardinality of the intersection set of set A compliment and set B compliment is to be determined.

Hence, it follows that the elements in the described set include the elements in set C only and the elements in the compliment of set A, B and C union.

On this note, it follows that the cardinality of the set is; 4 +7 = 11.

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

turning point: (1, 4)

Roots: (-1, 0), (3, 0)

Step-by-step explanation:

The turning point is the vertex of the parabola, which occurs at point (1, 4).   The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:

(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361

hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.

b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.

The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).

The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.

The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.

To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:

P(E and E2) = P(E) x P(E2)

Substituting the probabilities we have calculated, we get:

1/8 = (1/4) x (1/4)

Since this equation is true, we can conclude that events E and E2 are independent.

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According to the given conditions in the question, the movie did finish at 8:15pm exactly.

The average movie length of movies in hollywood is  around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.

The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.

The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.

So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,

105 + 15 = 120 mins

Which is equal to 2 hrs, so the movie finished at 8:15 pm.

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