What is the value of X I don’t understand this

Answer:

1: 2: √3

Step-by-step explanation:

What is the ratio of the sides of triangle XYZ?  

The sides of a triangle, where the angles are 30o, 60o, and 90o, are in ratio:  1: 2: √3  

Have a great day!

Answer:

D is correct.

0 is greater than -2.

-1 is greater than -2.

5 is greater than -2.

-3 is smaller than -2.

Hope this helps!

Step-by-step explanation:

stay safe healthy and happy.

The predetermined overhead rate for the recently completed year was closest to $28.56 par labor - hour.

What is Labor - hour?

4 to 8 hours or more are typical for active labor. Your cervix will expand on average at a rate of 1 cm per hour. What you can do: Seek encouragement and support from your labor partner and your medical team. To ease your discomfort, try deep breathing and relaxation exercises.

Given:

Longobardi corporation bases its predetermined overhead rate on the estimated labor- hours for the upcoming year.

At the beginning of the most recently completed year, the corporation estimated the labor-hours for the upcoming year at 46,000 labor- hours.

The estimated variable manufacturing overhead was $6.25 per labor-hour and the estimated total fixed manufacturing overhead was $1,026,260.

The actual labor- hours for the year turned out to be 41,200 labor-hours.

Estimated total manufacturing overhead

= $1,026,260 + ($6.25 per labor- hour X 46,000 labor - hours)

= $1,313,760

Predetermined overhead rate

= $1,313,760 / 46,000 labor-hours

= $28.56 per labor-hour

Hence, the predetermined overhead rate for the recently completed year was closest to $28.56 par labor - hour.

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Answer:

Step-by-step explanation:

32 x 0.20 = $6.40

32 - 6.4 = $25.60

25.6 x .0675 ≈ 1.738

25.6 + 1.738 = 27.338 ≈$27.34

Answer:

s = 6√3

Step-by-step explanation:

We can recognize that the triangle in the image is a special 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle, the leg opposite the 60 degree angle, s,  is √3 times the leg opposite the 30 degree angle, in this case 6m. We can write an equation to model the situation:

s = 6 * √3

s = 6√3

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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Answer:

The average change is -0.7 per hour.

Step-by-step explanation:

-2.8/4

If angle mFCD = (2x + 5)° and m∠FED = (3x − 10)°, the value of x is 1. Option A is the correct answer.

Since FCD and FED are adjacent angles, their sum must be equal to the measure of angle FCE:

m∠FCD + m∠FED = m∠FCE

Substituting the given measures, we get:

(2x+5) + (3x-10) = m∠FCE

Simplifying the left side, we get:

5x-5 = m∠FCE

We know that the sum of the angles in triangle FCE is 180 degrees, so we can use that information to solve for x:

m∠FCE + m∠FEC + m∠CEF = 180

Substituting in the value we found for m∠FCE, and noting that m∠FEC and m∠CEF are each 90 degrees since triangle FCE is a right triangle, we get:

5x-5 + 90 + 90 = 180

Simplifying and solving for x, we get:

5x + 175 = 180

5x = 5

x = 1

Therefore, the value of x is 1.

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If m∠FCD = (2x + 5)° and m∠FED = (3x − 10)°, what is the value of x?

a. 1

b. 3

c. 7

d. 4

Answer:

37

Step-by-step explanation:

5(37)=185

185-5=180

Answer:

27

Step-by-step explanation:

This an an Isosceles right triangle so x = y

In this triangle the angles are 45° 45° 90° and side lengths a - a - a√2

Since hypotenuse is given as 27√2 we can say a = 27

Answer:

24

Step-by-step explanation:

because to find the area you multiply them all together, 3x2x4

The name given to this type of design is a factorial design. A factorial design is a design in which researchers investigate the effects of two or more independent variables on a dependent variable.

In this study, two independent variables were used: room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius), while the dependent variable was happiness.

Each level of each independent variable was tested in conjunction with each level of the other independent variable. There are a total of six experimental conditions (two colors × three temperatures = six conditions), and twenty students were randomly assigned to each of the six conditions.

The researcher then examined how each independent variable and how the interaction of the two independent variables affected the dependent variable (happiness). Therefore, this study is an example of a 2 x 3 factorial design.

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Answer:

8

Step-by-step explanation:

the length of segment AD would be 8 since segment AD and segment WZ are equal in length!

\( \frac{1}{2}\)will be the answer.

Step-by-step explanation:-

If the altitude to the hypotenuse of a right-angled triangle bisects the hypotenuse, then we can know that the triangle is Isosceles right triangle. (AB=AC)

Make AB=AC=2, so,

BC=\( \sqrt{ {2}^{2} + {2}^{2} } \)= \( \sqrt{4 + 4} \)= \( \sqrt{8} \)

Prime factorizing, we get,

BC = \( \sqrt{2 \times 2 \times 2} \)

Take two 2's outside by taking common because of "square" root,

⇢BC = \(2 \sqrt{2} \)

BD = DC = \( \sqrt{2} \),

AD = \( \sqrt{AB^{2} - BD^{2} } \)= \( \sqrt{4 - 2} \)= \( \sqrt{2} \)

So, AD=BD=CD= \( \frac{1}{2}\)BC

∴⇢\( \frac{AD}{BC} = \frac{1}{2} \)

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Answer:

= \(z^{11}\)

Step-by-step explanation

Step-by-step explanation:

a. To find out how many hours Billy Banjo needs to work to pay for his banjo, we can set up the following equation:

$$ 6h = 300 $$

where "h" represents the number of hours Billy Banjo needs to work and 6 represents the amount of money he earns per hour.

We can solve this equation by dividing both sides by 6, giving us:

$$ h = \frac{300}{6} $$

$$ h = 50 $$

Therefore, Billy Banjo needs to work 50 hours in order to pay for his $300 banjo.

b. The equation $6h = 300$ represents the situation where Billy Banjo is trying to save money for a new banjo that costs $300, and he earns $6 per hour. The variable "h" represents the number of hours Billy Banjo needs to work in order to pay for the banjo. The left side of the equation, $6h$, represents the amount of money Billy Banjo earns in "h" hours, while the right side of the equation, 300, represents the cost of the banjo he is trying to save up for. By setting these two expressions equal to each other, we are able to solve for the value of "h," which represents the number of hours Billy Banjo needs to work in order to pay for his banjo.

Answer:

The most likely outcome is exactly 4 free throws

Step-by-step explanation:

Given

\(n = 5\) --- attempts

\(p = 82.6\%\) ---- probability of a successful free throw

\(p = 0.826\)

Required

A histogram to show the most likely outcome

From the question, we understand that the distribution is binomial.

This is represented as:

\(P(X = x) = ^nC_x * p^x * (1 - p)^{n-x}\)

For x = 0 to 5, where x represents the number of free throws; we have:

\(P(X = x) = ^nC_x * p^x * (1 - p)^{n-x}\)

\(P(X = 0) = ^5C_0 * 0.826^0 * (1 - 0.826)^{5-0}\)

\(P(X = 0) = ^5C_0 * 0.826^0 * (0.174)^{5}\)

\(P(X = 0) = 1 * 1 * 0.000159 \approx 0.0002\)

\(P(X = 1) = ^5C_1 * 0.826^1 * (1 - 0.826)^{5-1}\)

\(P(X = 1) = ^5C_1 * 0.826^1 * (0.174)^4\)

\(P(X = 1) = 5 * 0.826 * 0.000917 \approx 0.0038\)

\(P(X = 2) = ^5C_2 * 0.826^2 * (1 - 0.826)^{5-2}\)

\(P(X = 2) = ^5C_2 * 0.826^2 * (0.174)^{3}\)

\(P(X = 2) = 10 * 0.682 * 0.005268 \approx 0.0359\)

\(P(X = 3) = ^5C_3 * 0.826^3 * (1 - 0.826)^{5-3}\)

\(P(X = 3) = ^5C_3 * 0.826^3 * (0.174)^2\)

\(P(X = 3) = 10 * 0.5636 * 0.030276 \approx 0.1706\)

\(P(X = 4) = ^5C_4 * 0.826^4 * (1 - 0.826)^{5-4}\)

\(P(X = 4) = 5 * 0.826^4 * (0.174)^1\)

\(P(X = 4) = 5 * 0.4655 * 0.174 \approx 0.4050\)

\(P(X = 5) = ^5C_5 * 0.826^5 * (1 - 0.826)^{5-5}\\\)

\(P(X = 5) = ^5C_5 * 0.826^5 * (0.174)^0\)

\(P(X = 5) = 1 * 0.3845 * 1 \approx 0.3845\)

From the above computations, we have:

\(P(X = 0) \approx 0.0002\)

\(P(X = 1) \approx 0.0038\)

\(P(X = 2) \approx 0.0359\)

\(P(X = 3) \approx 0.1706\)

\(P(X = 4) \approx 0.4050\)

\(P(X = 5) \approx 0.3845\)

See attachment for histogram

From the histogram, we can see that the most likely outcome is at: x = 4

Because it has the longest vertical bar (0.4050 or 40.5%)

7/4 can be expressed as

3/4 can be expressed as

Then, the fractions to compare are:

14/8, 4/8, 7/8, 6/8

We can order them only considering the numerators. from least to greatest value the ordered list is:

4/8, 6/8, 7/8, 14/8

or

4/8, 3/4, 7/8, 7/4

Answer:

\(a_{n}\) = - 4n + 6

Step-by-step explanation:

There is a common difference between consecutive terms of the sequence

- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4

This indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 4 , then

\(a_{n}\) = 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6

Answer: y = -4x + 3

Step-by-step explanation:

   First, we will write 8x+2y=14 in slope-intercept form.

8x+2y=14

2y = -8x + 14

y = -4x + 7

   Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.

y = -4x + b

(-5) = -4(2) + b

-5 = -8 + b

b = 3

   Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.

         y = -4x + 3

Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.

Step-by-step explanation:

Answer:

divided 75 and 50 then divided 85 and that number

Step-by-step explanation:

Answer:

d) 2.0 * 10⁸

Step-by-step explanation:

199,792,458  ≈ 200,000,000 = 2.0* 10⁸

Answer:

h= 1.5 hours or 1 hours 30 minutes

Step-by-step explanation:

Given data

Cool Air Plus

charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform.

let the number of hours be h

and the total charges be c

c= 25+25h---------1

Cool Breeze Air

charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform.

let the number of hours be h

and the total charges be c

c= 40+15h---------2

The system of equation is

c= 25+25h---------1

c= 40+15h---------2

Let us equate 1 and 2 to find the number of hours that will make the total charges the same

25+25h=40+15h

collect like terms

25h-15h= 40-25

10h=15

h= 15/10

h= 1.5 hours or 1 hours 30 minutes

Hence it will take about 1 hour and 30 minutes for the two service providers to charge the same

Answer: the answer is 4

Step-by-step explanation:

Trust

The midline equation of the function is y = 2.95.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Midline is the horizontal line that passes in the middle between the graph's maximum and minimum points.

Now,

Maximum point = (11.4, 11.4)

Minimum point = (-5.5, -5.5)

A horizontal line means the y-coordinates.

So,

Midline = (11.4 + (-5.5)) / 2 = 2.95

Thus,

The midline equation is y = 2.95.

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The equation to illustrate the information that the number of tickets sold was 4 less than twice the cube of the participants is 2p³ - 4.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, for a fundraiser event, the number of tickets sold was 4 less than twice the cube of the participants.

Let the number of participants be p.

In this case, the tickets will be:

= 2(p³) - 4.

= 2p³ - 4

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The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:

third option both cost the same after 2 months

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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