f(x)=x-4 Function Family: Parent Function: D: ; R: End Behavior: As x→∞, f(x)→ As x→→∞, f(x)- Increasing Interval: Decreasing Interval:​

The coordinates of point l are (8,9).

Numbers used to identify the position of a point in a plane or in space. It is mostly used in mathematics, science, and engineering. Coordinates are used to define locations on maps, to plot graphs, and to identify points on a two-dimensional plane. By knowing the coordinates of two points, one can calculate the distance between them.


To find this point, we must first calculate the midpoint between j and k. The midpoint can be found by taking the average of the x-coordinates and y-coordinates. The midpoint between j and k is (8,10). Since the ratio of jl:kl is 5:1, we can determine that l is 5 units away from j and 1 unit away from k. This means that l must be 5 units up and 1 unit to the right from the midpoint. Thus, the coordinates of l are (8,9).

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Answer:

A)24.8in

Step-by-step explanation:

17^2 + 18^2 =613

sq root of 613 = 24.758...

24.8in

Answer:

12 m/s

Step-by-step explanation:

Speed= disntance/time

30/2.5= 12m/s

This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .

The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data

1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.

2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.

3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.

4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.

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Answer:

I think its B. Equivalent Fraction

Answer:

83 kilometres per hour =

51.574 miles per hour

Answer:

y=6

Step-by-step explanation:

To solve for y, you start by multiplying 3 through the parenthesis.

This will give you 3y-15+2=5

collect like terms and isolate 3y on the left side of the equal sign, this will give you 3y=18

divide both sides by 3 and you will be left with y=6

Answer:

y =6

Step-by-step explanation:

3 ( y − 5 ) + 2 = 5

Use the distributive property to multiply 3 by y − 5.

3y− 15 + 2 = 5

Add −15 and 2 to get −13.

3y − 13 = 5

Add 13 to both sides.

3y = 5 + 13

Add 5 and 13 to get 18.

3y = 18

Divide both sides by 3.

y = \(\frac{18}{3}\)

Divide 18 by 3 to get 6.

y = 6

Hope it helps. =)

Have a Great day!

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer: 9.46 grams

Step-by-step explanation:

Given: Number of muffins made in one batch = 1 dozen =12 ]

[ as 1 dozen = 12]

Also, in one batch the quantity of sugar = \(\dfrac14\) pound

As there are 454 grams of sugar in a pound.

So,  in one batch the quantity of sugar = \(\dfrac14\times454=113.5\ grams\)

i.e. in 12 muffins , there is 113.5 grams of sugar.

Then, in one muffin the quantity of sugar = (113.5 grams) ÷ 12

≈9.46 grams

Hence, there are 9.46 grams of sugar in 1 muffin.

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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This shows that the Probability distribution of the scores of a randomly selected senior executive is correct.

Probability distribution for the job satisfaction score of a randomly selected senior executive

A probability distribution is a table of all possible values of a variable (like scores) and the likelihood of their occurrence.

The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives are given as:Job Satisfaction Score    IS Senior Executives (%)1 5%2 9%3 38%4 42%5 6%

To determine the probability distribution of the scores for a randomly selected senior executive, we convert the percentage distribution into a probability distribution by dividing the percentage frequency of each score by 100. Then, we add up the probabilities of all scores to verify that they sum up to 1 (or 100%).

Therefore, the probability distribution is:

Job Satisfaction Score     Probability of Occurrence1                                    

 0.052                                      0.093                              

  0.384                                      0.425                                      0.06

The sum of the probabilities of all scores is 0.05 + 0.09 + 0.38 + 0.42 + 0.06 = 1.00 or 100%.

This shows that the probability distribution of the scores of a randomly selected senior executive is correct.

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The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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The linear relation of the given Rate of Change and Initial Value is y = 2/3x + 10

Suppose that we have to measure the rate of change of y as x changes, then we have:

\(Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\)

\(\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2\)

Note that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

We are given the parameters as;

Constant Rate of Change: 2/3

Initial Value:10

Since we know that linear relation between x and y is y = m x + b, where

m is the rate of change

b is the initial value

Therefore,

y = 2/3x + 10

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The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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Given the parallelogram ABCD, draq diagonal AC

From the parallelogram above, it can observed that line BCis parallel to line AD. Also, the line AB is parallel to line DC

The diagonal AC is a transversal to the two parallel lines BC and line AD

In the triangles ABC and triangle CDA,

From the two triangles ABC and CDA, line AC and line CA are common to them

It can be deduced that triangle ABC is congruent to triangle CDA

Hence, AB≅CD and BC≅DA (Matching sides of congruent triangles ABC and triangles CDA)

Recall that the sum of the interior angles of a convex polygon with n sides is:

Therefore:

12) If the sum of the interior angles of a convex polygon is 3240 degrees, then we can set the following equation:

Dividing the above equation by 180 we get:

Adding 2 to the above equation we get:

13) If the sum of the interior angles of a convex polygon is 6660 degrees, then we can set the following equation:

Dividing the above equation by 180 we get:

Adding 2 to the above equation we get:

Answer:

12) 20.

13) 39.

Answer:

275

Step-by-step explanation:

Answer:

Total Cost = $275

Step-by-step explanation:

25% = 0.25

Multiply $220 by 0.25 to get 25% of $220.

0.25 × $220 = $55

Now add $220 and $55 to get the total cost.

$220 + $55 = $275

Answer:

what level math is this

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

I'm not sure what the question is but an example question could be

"Take 5 away from 3."

For this you would go to three on the number line and then move left five gaps. You would land on -2

another example: "Add 4 to -3."

For this, you would go to -3 on the number line, and then move right 4 times. you would land on 1.

Answer:

4.5

Step-by-step explanation:

just move 1 1/2 steps to the left

Answer:

no

Step-by-step explanation:

From the observations, we can conclude that the probabilities form a geometric sequence, where each subsequent probability is a constant factor smaller than the previous one. Let's call this constant factor "q".

(i) Pn > Pn+1 for n = 0,1,2,3,4 means that Pn = P0 * q^n for some value of q such that 0 < q < 1.

(ii) The difference between Pn and Pn+1 is the same for n = 0,1,2,3,4 means that

Pn - Pn+1 = P0 * q^n - P0 * q^(n+1)

= P0 * q^n (1 - q) is the same for all n.

Let's call this difference "d".

d = P0 * q^n (1 - q) for all n.

We know that exactly 40% of policyholders file fewer claims during a given year, so P0 = 0.4.

Using this information, we can find q:

d = P0 * q^n (1 - q)

= 0.4 * q^n (1 - q)

= 0.4 * q^n - 0.4 * q^n * q

= 0.4 * q^n (1 - q)

= d.

So,

0.4 * q^n = d

And

q = d / (0.4 * q^n)

Substituting n = 0:

q = d / (0.4)

Now we can find P3 and P4:

P3 = P0 * q^3

P4 = P0 * q^4

Finally, the probability that a random policyholder will file more than three claims during a given year is

1 - (P0 + P1 + P2 + P3)

= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3).

Substituting the values we found for P0, q, and P3:

= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3)

= 1 - (0.4 + 0.4 * (d / 0.4) + 0.4 * (d / 0.4)^2 + 0.4 * (d / 0.4)^3)

= 1 - (1 + (d / 0.4) + (d / 0.4)^2 + (d / 0.4)^3)

This is the probability that a random policyholder will file more than three claims during a given year.

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Answer:

Z

Step-by-step explanation:

Answer:

b. there are no exceptions, because all of the statements above are true.

Step-by-step explanation:

Hypothesis testing refers to the method which is used to test the outcomes of the hypothesis. The result of the experiment conducted is analyzed whether or not the desired results are found. It helps in justifying and finding conclusions in the absence of the scientific theories about the conclusions. A null hypothesis is to be known by the individual before performing the Hypothesis testing.

a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

Please notice that the length of the radius is the half of the length of the diameter.  

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

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