Which of the following equation(s) has a graph that is perpendicular to the line x + 2y = 14? Select all that apply.
A. 2x - y = -7
B. 7y = 14x + 2
C. x + 2y = 7
D. 14y = 7x + 2

Answer:

A. the answer is supplementary

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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The measure of angle x is 70°.

Here we have the image of some triangles, and we want to find the value of the interior angle x in the left triangle.

What you need to remember here is that the sum of the interior angles of any triangle is always equal to 180°.

Then, for the left triangle, we can write:

30° + 80° + x° = 180°

Now we can solve that equation for x, then we will get:

x° = 180° - 80° - 30°

x = 70°

That is the measure of angle x.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

4

Step-by-step explanation:

:)

The value of x shown in the right angled triangle is 15.9 units

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, substituting:

17² = x² + 6²

x² = 17² - 6²

x² = 253

x = 15.9 units

The value of x is 15.9 units

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Answer:8 1/4 cups

Step-by-step explanation:

All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.

Answer:

its b

Step-by-step explanation:

its esay for even a non smart person to know not saying your one!! never mind.IT IS BBBBBBBB!!!!!!

Answer:

area of rectangle is Length×breadth.....so area=l×b

Answer:

f(1) = -2

Step-by-step explanation:

f(1) = -(1) - 1

f(1) = -1 - 1

f(1) = -2

Answer:

123x222

Step-by-step explanation:

because2=2 and 4=4

The amount Thabang will receive if they decided to share their money according to hour is 380, 50 cents pieces of the container.

We know that Thabang save money by putting coins in a money box. The money box has 600 coins that consist of 20 cents and 50 cents.

We also know that Thabang worked three hours and Nidhu worked for two hours.

Therefore, let the number of 50 cents coins in the container be "x".

We know that the total number of coins in the container is 600, so we can write, x + 220 = 600

Solving for x, we get,

x = 600 - 220

x = 380

Therefore, there are 380, 50 cents pieces in the container. The amount Thabang will receive if they decided to share their money according to hour is 380, 50 cents pieces of the container.

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Complete question: Thabang save money by putting coins in a money box. The money box has 600 coins that consist of 20 cents and 50 cents. Thabang and his friend Nidhu share a job of cleaning a neighbor's yard and they were paid R400. Thabang worked three hours and Nidhu worked for two hours. Determine the amount Thabang will receive if they decided to share their money according to hours.​

la unión de dos rayos o segmentos forman un angulo

Answer:

An angle?

Step-by-step explanation:

un ángul

( I used Google translate, so I don't know if that's the answer you were looking for )

The number of street lamps is 5 by the remaining five people.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that suppose that 20 of the 25 townspeople decide that they will not help pay for street lamps, and will instead enjoy (for free) the street lamps built by the other five people.

The number of street lamps is,

Lamps = 25 - 20

Lamps = 5

Therefore, the number of street lamps is 5 for the remaining five people.

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Answer:

The maximum number of street lamps that will be built by the remaining five people will be 0

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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Answer:

Terrence made $30 more than Teresa.

Step-by-step explanation:

Giving the following information:

Terrence earns $450 per week.

Teresa earns $300 per week plus a 6% commission on the total sales of books she sells.

First, we need to structure the total income formula for each:

Terrence= 450

Teresa= 300 + 0.06*x

x= sales

Now, for $2,000 sales of books:

Terrence= $450

Teresa= 300 + 0.06*2,000= $420

Answer:

it is option D

2 less than 5 times a number

hope it helps

Answer:

In standard form: x - 2y = -10

In slope intercept form: y = (1/2)x + 5

Step-by-step explanation:

y = total cost

y = flat cost + mileage cost

The flat cost is $5, so you get

y = 5 + mileage cost

The mileage cost depends on the number of miles, x.

1 mile costs $0.50

2 miles cost $0.50 * 2

3 miles cost $0.50 * 3

x miles cost $0.50 * x, or simply 0.5x

Now we add the mileage cost to our expression.

y = 5 + 0.5x

y = 0.5x + 5

In standard form:

0.5x - y = -5

x - 2y = -10

In slope intercept form:

y = (1/2)x + 5

The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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The average number in line: 0.5 persons. Average number of persons in the system: 1 person. Average time spent in line: 2.5 minutes. Increased arrival rate will result in more people in the waiting line.

The average number in line can be calculated using the formula for the average number of customers in the system, Ls = λWs, where λ is the arrival rate and Ws is the average time a customer spends in the system. In this case, the arrival rate is 10 persons per hour and the time per player is 5 minutes. Converting the arrival rate to arrivals per minute, we have λ = 10/60 = 1/6 arrivals per minute. Plugging these values into the formula, we get Ls = (1/6) * 5 = 5/6 = 0.833, which can be approximated to 0.5 persons.

The average number of persons expected to be in the system includes both those in the line and those being served. Since the system follows a First-Come-First-Serve (FCFS) discipline, the number of people in line will be equal to the number of people in the system. Therefore, the average number of persons in the system is also 0.5 persons.

The average amount of time a person spends in line can be calculated using Little's Law, which states that the average number of customers in a stable system is equal to the arrival rate multiplied by the average time a customer spends in the system. In this case, the average number of customers in the system is 0.5 persons and the arrival rate is 10 persons per hour. Converting the arrival rate to arrivals per minute, we have λ = 10/60 = 1/6 arrivals per minute.

Plugging these values into the formula, we get 0.5 = (1/6) * Ws. Solving for Ws, we find Ws = 3 minutes. Since the average time spent in the system includes both waiting time and service time, and the service time is 5 minutes per player, the average time spent in line is Ws - service time = 3 - 5 = -2 minutes. However, a negative waiting time is not meaningful in this context. Therefore, we can approximate the average time spent in line to 2.5 minutes.

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Answer:

4th option

Step-by-step explanation:

Bring the negative radical on the left to the other side to make it positive.

Square both sides.

Answer:

1. 200 per two years or 100/year, 2. 4%

Step-by-step explanation:

2700-2500=200 interest earned for two years or 100 per year

principle x interest rate =interest earned per year

2500 x interest rate =100

interest rate =100/2500

interest rate =.04 or 4%

The mixed number can be written as an improper fraction of 44/5 after simplifying the answer is 44/5.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The mixed number is 8  4/5

To write the mixed number as an improper fraction:

= 8 + 4/5

Take LCM as 5

LCM can be defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

= (8x5 + 4)/5

= (40 + 4)/5

= 44/5

Thus, the mixed number can be written as an improper fraction of 44/5 after simplifying the answer is 44/5.

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Answer:

Step-by-step explanation:

To determine the number of haircuts Jenny needs to give in a day to earn $154 after paying her station rent at the Heads Up Salon, the equation h * $25.50 - $50 = $154 can be used, where h represents the number of haircuts.

Let's break down the equation step by step. Jenny earns $25.50 for each haircut, so if she gives h haircuts in a day, her total earnings from haircuts alone would be h * $25.50. However, she also needs to subtract the daily station rent of $50 from her earnings.

Therefore, the equation becomes h * $25.50 - $50 = $154, as she wants to make $154 after deducting the rent.

To solve this equation, Jenny needs to find the value of h that satisfies the equation. She can do this by isolating the variable h on one side of the equation. First, she adds $50 to both sides of the equation:

h * $25.50 - $50 + $50 = $154 + $50

This simplifies to:

h * $25.50 = $204

Next, she divides both sides of the equation by $25.50 to solve for h:

h = $204 / $25.50

By performing the calculation, she finds:

h ≈ 8

Hence, Jenny needs to give approximately 8 haircuts in a day to earn $154 after paying the station rent at the Heads Up Salon.

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Answer:

1.c  2.b

Step-by-step explanation: