On a coordinate plane, a line goes through (0, 3) and (3, negative 1). a point is at (negative 3, 2). what is the equation of the line that is parallel to the given line and passes through the point (−3, 2)? 3x − 4y = −17 3x − 4y = −20 4x 3y = −2 4x 3y = −6

Answer:

5/12

Step-by-step explanation:

Make 1/4 and 1/3, 3/12 and 4/12, add them up to equal 7/12 then subract 7 from twelve and you have 5. 5/12

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Introduction:

Probability is a measure of the likelihood that a given event will occur. In this scenario, the event of interest is the fuel tank being empty, given the observation that the battery is flat. Evaluating the probability of this event involves finding the relationship between the fuel tank and the battery, and using this information to calculate the probability that the fuel tank is empty.

Detailed explanation:

To evaluate the probability of the fuel tank being empty given the observation that the battery is flat, we need to use Bayes' theorem. Bayes' theorem states that the probability of event A given event B can be calculated as follows:

P(A|B) = P(B|A) * P(A) / P(B)

Where P(A|B) is the probability of event A given event B, P(B|A) is the probability of event B given event A, P(A) is the probability of event A, and P(B) is the probability of event B.

In this scenario, event A is the fuel tank being empty, and event B is the battery being flat. To calculate the probability of the fuel tank being empty given the battery is flat, we need to find the values of P(B|A), P(A), and P(B).

Suppose we have the following information:

P(A) = 0.1 (the probability that the fuel tank is empty)

P(B|A) = 0.8 (the probability that the battery is flat given that the fuel tank is empty)

P(B) = 0.05 (the probability that the battery is flat)

Using these values, we can calculate P(A|B) as follows:

P(A|B) = P(B|A) * P(A) / P(B) = 0.8 * 0.1 / 0.05 = 0.16

This means that the probability that the fuel tank is empty given the battery is flat is 0.16.

In conclusion, the probability that the fuel tank is empty given that the battery is flat is lower than the probability that the fuel tank is empty, which was 0.1. This suggests that having a flat battery decreases the likelihood that the fuel tank is empty.

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Answer:

y-intercept

zero

Step-by-step explanation:

We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.

Okay, here we have this:

Considering the provided graph we are going to identify the requested vertex and decide whether it is a maximum point or a minimum , so we obtain the following:

Let us remember that the lowest or highest point is the vertex of the parabola. In this case we can see that the highest point is (-1, 9). So the vertex is (-1, 9), and since it is the highest, then it will be a maximum.

In the image you can see the vertex drawn in blue.

A blue token is worth 15 points and a yellow token is worth 5 points.

Two or more expressions with an Equal sign is called as Equation.

Let b  represent the point value of a blue token and

y represent the point value of a yellow token.

We can set up two equations:

4b + 7y = 95 (Jillian's score)

4b + 3y = 75 (Jacob's score)

Subtracting the second equation from the first, we get:

4b + 7y - (4b + 3y) = 95 - 75

Simplifying this, we get:

4y = 20

Dividing both sides by 4, we get:

y = 5

So a yellow token is worth 5 points.

Now we can substitute this value of "y" into one of the original equations and solve for "b".

4b + 7y = 95

4b + 7(5) = 95

4b + 35 = 95

4b = 60

b = 15

So a blue token is worth 15 points.

Therefore, a blue token is worth 15 points and a yellow token is worth 5 points.

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9514 1404 393

Answer:

  14.09 square units

Step-by-step explanation:

The desired area is the area of the full circle, multiplied by the fraction that is shaded. That fraction is the ratio of the sector central angle to the central angle for a whole circle: 42°/360°.

  A = πr²(d/360)

  A = 3.14159(6.2²)(42/360) ≈ 14.09

The area of the shaded sector is about 14.09 square units.

a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer:

x ≥ 32

Step-by-step explanation:

x + 18 ≥ 50

subtract 18 from both sides.

x ≥ 50 - 18

x ≥ 32

9514 1404 393

Answer:

  x = 44.5

Step-by-step explanation:

The angles defined by x will be supplementary when the lines m and n are parallel.

  (x +4) +(3x -2) = 180

  4x +2 = 180

  4x = 178

  x = 44.5 . . . . will make m and n parallel

Answer:

Sequences 1,2, and 4 are arithmetic.

Step-by-step explanation:

Each term in sequence 1 gets added by 8.

Each term in sequence 2 gets added by 5.

Each term in sequence 4 gets added by 6.

Answer:

Step-by-step explanation:

S = 180 × ( n - 2)

To solve for n divide both sides by 180°

That's

Add 2 to both sides in order to isolate n

That's

We have the final answer as

Hope this helps you

You have the following expression:

If the values of x and y are:

x = 9

y = 1

when you replace these values into the polynomial expression you obtian:

Hence, the answer is 73

To determine the number of beads that contain at least two different colors, subtract the number of beads that contain only one color from the total number of beads.

1. Calculate the number of beads that contain exactly one color:

2. Calculate the total number of beads:

3. Subtract the number of beads that contain only one color from the total number of beads to find the number of beads with at least two different colors:

Let's take an example to illustrate this:

Suppose there are 4 different colors available (n = 4), and there are a total of 100 beads (m = 100).

Calculate the number of beads that contain exactly one color:

Number of beads with exactly one color = n * n = 4 * 4 = 16.

Calculate the number of beads with at least two different colors:

Number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.

Number of beads with at least two different colors = 100 - 16 = 84.

So, in this example, there are 84 beads that contain at least two different colors.

In general, to find the number of beads that contain at least two different colors, subtract the number of beads with exactly one color from the total number of beads, using the formula derived in steps 1 and 2.

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Answer:

The proof consists of two columns, where the first column contains a numbered chronological list of steps, called Statements, leading to the desired conclusion. The second column contains the justifications, called Reasons, to support each step in the proof.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

took the test

also parallelograms are the slanted ones so they dont  always have the 90 degree angles.

The non-necessary property of a parallelogram is All angles are right angles.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

GIven that, what can not be a property of parallelograms

All the properties given in the option are correct for a parallelogram, but the option saying all angles should be a right angle, is not a correct one, because it is not necessary for a parallelogram to have all four angles 90°, it is only in two types of special parallelograms, that are rectangles and squares.

Hence, the non-necessary property of a parallelogram is All angles are right angles.

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The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Non of the above Statement is true.

Standard deviation is a mathematical measure of how spread out a dataset is. It is a measure of the variation or dispersion of a set of values from the mean. It is calculated by taking the square root of the variance. Standard deviation can be used to measure the risk associated with an investment, to compare data sets, or to measure the accuracy of a data set.

The standard deviation is a measure of the dispersion of a set of data from its mean, and it is always a non-negative number. It can sometimes be zero, and it can also be larger than the variance.

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Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Answer:

36

Step-by-step explanation:

pi (3) x 1^2 x 12 = 3 x 12 = 36

Answer:

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

Answer:

x = 4a + 4g

Step-by-step explanation:

When solving equations, pay attention to operations and their order.

In this equation we start off by moving the addition/subtraction, then the multiplication/division (opposite of PEMDAS)

Secondly, when a variable goes to the other side of an equation, its operation is reversed accordingly (addition goes to subtraction and multiplication goes to division)

So,

x/4 - g = a

x/4 = a + g

x = 4(a + g)

x = 4a + 4g

Answer:

The answer is D.72°

Step-by-step explanation:

hope this helps.

Answer:

40 feet

Step-by-step explanation:

4+4+8+4+12+8

= 40 ft.

a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

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Answer:

As far as I can see, yes it is correct.