the supplement of the double of complement of an angle is 120°. find the complement of the angle.​

(d.) Each run of the simulation only provides a sample of the actual system's operation.

This assertion is right, not mistaken. Indeed, each simulation run is a sample of the actual system's operation. A single simulation run cannot account for all possible outcomes and variations in the real system because simulations are based on mathematical models and involve random variations.

In order to take into consideration various scenarios and variations, multiple simulation runs are typically carried out. By running numerous reenactments, specialists can assemble a scope of results and measurable data to acquire a superior comprehension of the framework's way of behaving and go with informed choices.

The analysis and confidence in the simulation study's conclusions increase with the number of simulation runs performed.

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The sales director is conducting a experiment study.

There are different types of studies related to researches. The researchers may conduct simply, a survey, more thoroughly, an observational study or an experiment to get more details of things of their research.

An observational study is based on observations and analysis of different comparable situations. A survey is actually a method to study about things directly through personally involving into the situations.

Experiments are mostly used in situations which asks for a solution to certain issue. An experiment is implementing new measures first and then check if it works and get on conclusions about it. Such experiments leads to new inventions.

So here, the sales director conducted an additional training program for the sales representatives to increase the sales in Midwest and Northeast regions.

Then he studied the effectiveness of this implementation by comparing the sales from trained and non-trained representatives.

Thus the sales director conducted an experiment based study here.

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it can be

12 to 15

12 / 15

12 : 15

you can write it in any of these way.

12:15

Step-by-step explanation:

There are are 12 boys and 15 girls so the ratio of them is 12:15

hope it helps !

The red flags in the prescription are;

We know that the term prescription would have to do with the drugs that an individual has been asked to take in a  given situation. Usually, when a person is sick, the person would have to go to a doctor to get a prescription.

There may be certain red flags in a prescription and these would have to do with the state of health of the patient that is being given the prescription drugs to taken.

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Answer:

I hope this helps

Step-by-step explanation:

So the way to handle a problem like this is to rewrite the three numbers in terms of their relationship to one of the three numbers.  Let's call the numbers x, y, and z, where x is the first number, y is the second, and z is the third.

We know x + y + z = 83.

Since the third number is twice the second, we say that z = 2y.

Since the second number is seven less than the first, we say that y = x - 7.  We can rewrite this as x = y + 7.

Now all three can be written in terms of y.

x + y + z = 83

(y + 7) + y + 2y = 83

4y + 7 = 83

4y = 76

y = 19

The second number is 19.  The first is 19 + 7 or 26, and the third is 2 times 19 or 38.

A check reveals that 26 + 19 + 38 = 83.

Answer:

The value of x is 54 degrees.

Explanation:

The two angles are in a right triangle.

The angles in a right triangle add up to 90. So:

Next, solve for x.

The value of x is 54 degrees.

The three digit number is 727 while the one digit number is 4

Given data

The sum of a three-digit number and a one-digit number is 731.

The product of the numbers is 2,908

let three digit number be x, y, and z

let the one digit be w

The sum

xyz + w =731

xyz * w = 2,908

making xyz the subject of formula

xyz = 731 - w

plugging in xyz into xyz * w = 2,908

( 731 - w ) * w = 2908

731w - w^2 = 2908

w^2 - 731w + 2908 = 0

solving the quadratic equation gives

w = 727 or 4

since w is a one digit number then w = 4

plugging in w = 4 into xyz + w =731 we have

xyz + w =731

xyz + 4 =731

xyz =731 - 4

xyz  = 727

Hence the three digit number is 727 while the one digit number is 4

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The expression for the division of the two functions is equal to (f / g) (x) = - x² + x - 1. (Correct choice: C)

In this question we have two polynomic functions, the function f(x) is a quartic equation and the function g(x) is a quadratic equation. The division between functions is a binary operator defined as:

(f / g) (x) = f(x) / g(x)       (1)

If we know that f(x) = x⁴ - x³ + x² and g(x) = - x², then we obtain the expression for the division by algebraic handling:

(f / g) (x) = (x⁴ - x³ + x²) / (- x²)

(f / g) (x) = x⁴ / (- x²) - x³ / (- x²) + x² / (- x²)

(f / g) (x) = - x² + x - 1

The expression for the division of the two functions is equal to (f / g) (x) = - x² + x - 1. (Correct choice: C)

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Given:

A dilation with scale factor 2 maps triangle RST to triangle R'S'T'.

The perimeter of triangle RST is 60 units.

To find:

The perimeter of triangle R'S'T'.

Solution:

We know that the dilated figure is similar to the given figure.

The scale factor is 2. It means the side length of the dilated figure is twice then the original figure. So, the ratio of side of original figure to side of dilated figure is 1:2.

Let the  perimeter of triangle R'S'T' be x.

The ratio of perimeters of similar figure is equal to the ratio of the corresponding sides of similar figures.

\(\dfrac{\text{Perimeter of }RST}{\text{Perimeter of }R'S'T'}=\dfrac{1}{2}\)

\(\dfrac{60}{x}=\dfrac{1}{2}\)

\(60\times 2=1\times x\)

\(120=x\)

Therefore, the perimeter of triangle R'S'T' is 120.

The correct answer is (c) multiplication law. This law helps us calculate the probability of two independent events occurring together by simply multiplying their individual probabilities.

The probability of an intersection of two events is computed using the multiplication law. The multiplication law states that the probability of two independent events occurring together is the product of their individual probabilities. For example, if event A has a probability of 0.4 and event B has a probability of 0.3, then the probability of both events A and B occurring together is 0.4 x 0.3 = 0.12.

The probability of an intersection of two events is computed using the multiplication law. This law states that the probability of two independent events occurring simultaneously is equal to the product of their individual probabilities. Mathematically, it can be represented as:

P(A ∩ B) = P(A) × P(B)

Where P(A ∩ B) is the probability of the intersection of events A and B, P(A) is the probability of event A occurring, and P(B) is the probability of event B occurring. Remember that this law is only applicable if the events are independent, meaning that the occurrence of one event does not affect the probability of the other event. If the events are not independent, you would need to use conditional probability.

It is important to note that the multiplication law applies only when the two events are independent, meaning that the occurrence of one event does not affect the probability of the other event occurring. If the events are dependent, then the multiplication law cannot be used and the calculation becomes more complex.

In contrast, the addition law is used to compute the probability of the union of two events, meaning either one or the other event occurs or both events occur. The subtraction law and division law are not typically used for computing probabilities of intersections or unions, but instead are used in other probability calculations such as conditional probability or Bayes' theorem.

In summary, the correct answer is (c) multiplication law. This law helps us calculate the probability of two independent events occurring together by simply multiplying their individual probabilities.

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Answer:

heyyy wassuppp

Step-by-step explanation:

Answer:

26 ft

C = 2πr

18 = 2(3.14)r

18 = 6.28r

r = 18/6.28

r ≈ 2.866

A = πr²

A = (3.14)(2.866)²

A = 3.14(8.213956)

A = 25.7918218...

A ≈ 26

m = 532 - (57 * h) represents the number of miles remaining after h hours of traveling at an average speed of 57 miles per hour.

The equation m = 532 - (57 * h) is used to represent the number of miles remaining, m, after h hours of traveling at an average speed of 57 miles per hour. The equation works by taking the total distance, 532 miles, and subtracting the product of the average speed, 57 miles per hour, and the amount of hours traveled, h. The result of the equation is the number of miles remaining, m. For example, if the family has been traveling for four hours, the equation would be m = 532 - (57 * 4). Solving the equation, m = 344, meaning the family has 344 miles left to travel. This equation allows the family to easily determine how many miles they have left to travel, given the average speed and amount of time traveled.

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Answer:2.a

Step-by-step explanation:

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer:

2. 3/4 x 5/9 = 3x5/4x9 = 15/36 = 5/12

4. 4/7 x 1/2 = 4x1/7x2 = 4/14 = 2/7

6. 4/9 x 2/3 = 4x2/9x3=8/27

Step-by-step explanation:

Hope it helps!

Answer:

Hey again

2.-  *in order* 3, 9, 15/36, 5/12

4.- *rewrite it in the same order it was in* so, 4/7 x 1/2= 5/14 simplified to=haha jk thats as simplified as it gets/ its 5/14

6.- *rewrite it as is* 4/9 x 2/3 =8/27

Step-by-step explanation:

15/36 simplified *wich you are required to have simplified* is 5/12

There are 15,120 ways to distribute the first, second, third, and two fourth prizes among the five different people in the group of nine.

To determine the number of ways to distribute the prizes, we can break down the process step by step: First Prize: There are 9 people in the group, and one of them can be chosen for the first prize. So there are 9 options for the first prize. Second Prize: After the first prize has been awarded, there are 8 remaining people who can be chosen for the second prize. So there are 8 options for the second prize. Third Prize: After the first and second prizes have been awarded, there are 7 remaining people who can be chosen for the third prize. So there are 7 options for the third prize.

Fourth Prizes: There are two fourth prizes to be given. After the first three prizes have been awarded, there are 6 remaining people. The first fourth prize can be given to any one of them, leaving 5 people for the second fourth prize. So there are 6 options for the first fourth prize and 5 options for the second fourth prize. Multiplying the number of options for each step together: Total number of ways = 9 * 8 * 7 * 6 * 5 = 15,120 . Therefore, there are 15,120 ways to distribute the first, second, third, and two fourth prizes among the five different people in the group of nine.

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Answer:

Step-by-step explanation:

Probability of P.B.J. : milk : cookie being picked is; 1:12

Twelve possible combos one is P.B.J. : milk : cookie

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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The solution is 1756.69

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

We have to find the 18.5% of 2155.45.

So,

2155.45 * 0.185 = 398.75825

Now, subtract

21.55.45 - 398.75825

= 1756.69175

Hence, the value is 1756.69

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The values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively

Given data

The two triangle that has the values are attached:

The value of x

( 2x + 6 ) mm = 36 mm

2x mm = ( 36 - 6 ) mm

2x mm = 30 mm

x = 30 / 2 mm

x = 15 mm

The value of y

( 6y ) mm = 36 mm

y = 36 / 6 mm

y = 6 mm

The value of z

( 3z + 39 ) mm = 51 mm

3z mm = ( 51 - 39 ) mm

3z mm = 12 mm

z = 12 / 3 mm

z = 4 mm

Therefore, the values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively

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complete question

The complete question is attached

Answer:

8x+5005073

Step-by-step explanation:

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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The phrase "He went to get milk but never came back" is often used as a humorous way to explain someone's absence or to imply that someone is unreliable or untrustworthy.

The phrase likely originates from a common experience where a child's parent, often their father, promises to go out to get something, like milk, but never returns. This can be a source of disappointment and confusion for the child, and the phrase has since been used in a joking manner to explain someone's failure to show up or fulfill a promise.

However, it is important to recognize that this experience can also be a source of trauma and should not be used to make light of someone's pain or loss.

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (- 3, 3 ) → R' (3, 3 )

S (- 3, 8 ) → S' (3, 8 )

T (- 2, 7 ) → T' (2, 7 )

The Correct answer is A. (-4,1) ordered pair generated by this model should be discarded because the values are unreasonable.

In algebra, a quadratic equation (from Latin quadratus 'rectangular') is any equation that can be rearranged in well-known form as ax²+bx+c=0 Where x represents an unknown value, and a, b, and c constitute recognized numbers.

One supposes usually that a ≠ zero; the one's equations with a = zero are taken into consideration degenerate because the equation then will become linear or even simpler. The numbers a, b, and c are the coefficients of the equation and can be prominent with the aid of calling them, respectively, the quadratic coefficient, the linear coefficient, and the consistent or loose time period.

The values of x that satisfy the equation are referred to as answers to the equation, and roots or zeros of the expression on its left-hand aspect. A quadratic equation has at most two answers. If there is handiest one solution, one says that it's miles a double root. If all the coefficients are real numbers, there are both actual solutions, a single actual double root, or two complicated answers which can be complicated conjugates of each other.

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Complete Question:

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?