What is the magnitude of the change of Stock A?

Answer:

13x3 & -17x3

Step-by-step explanation:

the term x3 are like terms. As you can see, they both have the term x3.

Hope this helps!

The segment and angle addition postulate gives the following variables and measurements;

8. x = 6

9. QS = 63

10. m‹EBF = 20

11. m‹DBE = 32

12. m‹GBC = 56

13. The coordinate of point J is -9

8. The length of LN = 45

From segment addition postulate, we have;

LN = LM + MN

LM = 3•x + 2

MN = x + 19

Therefore;

LN = 45 = 3•x + 2 + x + 19 = 4•x + 21

4•x + 21 = 45

4•x = 45 - 21 = 24

x = 24 ÷ 4 = 6

9. Given;

RS = 27

From the diagram, RS = 12•x - 21

Therefore;

12•x - 21 = 27

12•x = 27 + 21 = 48

x = 48 ÷ 12 = 4

QS = QR + RS

Therefore;

QS = 9•x + 12•x - 21 = 9•x + 27

Which gives;

QS = 9 × 4 + 27 = 63

10. m‹EBG = 60

m‹EBG = m‹EBF + m‹FBG

m‹FBG = 2×m‹EBF

Therefore;

m‹EBG = m‹EBF + m‹FBG = m‹EBF + 2×m‹EBF

m‹EBG = 60 = 3×m‹EBF

m‹EBF = 60 ÷ 3 = 20

11. m‹ABE = 64

m‹ABE = m‹ABD + m‹DBE

From the diagram congruent marking for the angles, we have;

m‹ABD = m‹DBE

Which gives;

m‹ABE = m‹DBE + m‹DBE = 2•m‹DBE

m‹ABE = 64 = 2•m‹DBE

m‹DBE = 64 ÷ 2 = 32

12. m‹GBC = m‹GBH + m‹HBC

m‹GBH = 28

From the figure, we have;

m‹GBH = m‹HBC

Therefore;

m‹GBC = 2•m‹GBH

Which gives;

m‹GBC = 2 × 28 = 56

13. Location of point K = 7

The coordinate of point L = 23

KL = 23 - 7 = 16

Therefore;

7 - coordinate of J = 16

Coordinate of J = 7 - 16 = -9

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Answer:

17

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

this question requires us to find the least common multiple of 90 and 50

let's take the first 5 multiples of each and see if we find one in common:

90, 180, 270, 360, 450, 540

50, 100, 150, 200, 250, 300

we can use another method by breaking down each number into a product of its prime numbers:

90 = 5 x 18  =  5 x 2 x 9  =  5 x 2 x 3²

50 = 5 x 10  = 5² x 2

take out any numbers they have in common, which are:

one 2 and one 5

take out any numbers they do not have in common, which are:

2 and 5 and 3²

multiply the ones in common  ⇒ 2 x 5 = 10

multiply the ones not common  ⇒ 2 x 5 x 3² = 45

multiply 10 and 45 to get the least common multiple of 450

Answer:

B) 3x-6y

Step-by-step explanation:

2x+x=3x

5y+y=6y

3x-6y

Answer:

A) 3x - 4y

(2x - 5y) + (x + y)

=> 2x - 5y + x + y

=> 2x + x - 5y + y ------(arranging the like terms together)

=> 3x - 4y

Answer:

10x + 12y -15 =0

Step-by-step explanation

Answer:

x>3/8

Step-by-step explanation:

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer: a

Step-by-step explanation: A plane is a 2d surface so if it ever intersects a 3d object the cross-section will be a 2d figure, in this case, a rectangle.

Answer:

Yes

Step-by-step explanation:

I dont know why

Answer:

About $137.79

Step-by-step explanation:

Hope this helps!

Answer:

It would be 7:30 pm

Step-by-step explanation:

Answer:

145°

Step-by-step explanation:

because opposite angles r equal

There is a significant gap in south Africa between the wealthiest and poorest individuals.

It is a technique which is used to measure that captures the level of in equality for a given variables and population.It varies between 0 and 1.so 1 being perfectly inequal and 0 being perfectly equal.It is used to rank countries based on their income per capita , life expectancy and education development.

The Gini index measure income inequalities between poor and rich.

The formula we use given below

Gini Index= A/A+B

Where  A= area above Lorenz line

           B= area below Lorenz line

Lorenz is a graphical method for an economic inequality model taking the population percentage on X-axis and wealth on Y-axis.

It is the ratio of area between perfect equality line (A) divided by total area under perfect equality line (A+B).

Now we reach at this result

In south Africa the Gini index is more than 60.The higher the Gini index shows the higher the income inequality between rich and poor.

In Norway, given that the Gini index is less than 30 income inequality between rich and poor is lower.

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Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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Step-by-step explanation:

the only reason you would need help with this is, if you don't understand what exponents are and how they work.

because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.

so, let me explain this important element :

when you have something like 5³, then this 3 is the exponent, and the 5 is the base.

when we talk about such a thing we typically say "5 to the power of 3".

now what did it mean ?

well, it is a multiplication. a multiplication of the base by itself (like when we square a number).

and the exponent tells is how often the base is multiplied by itself.

so, back to my example :

5³ = 5×5×5

3² = 3×3

13⁴ = 13×13×13×13

once you understand that, you can solve the question yourself in seconds.

e.g. the first is looking for the equivalent of 7⁴.

we need to find the answer option that dissolves this like the examples above to 7×7×7×7.

and we find B to be the right answer.

for 3⁶ = 3×3×3×3×3×3

and E is right. and so on.

Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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Answer:

Unfortunately, I cannot see the graph you are referring to, so it is difficult for me to determine the exact value of k. However, I can provide some general guidance on how to determine the value of k when a function is translated vertically.

If a function f(x) is translated vertically by a distance k, the new function g(x) would be given by:

g(x) = f(x) + k

In other words, to translate a function vertically, we add a constant to the function's output (y-value). So if the given function is:

f(x) = []*

and it is translated vertically to:

g(x) = (-²)* - " +1(x) + k

then the value of k would be the amount of the vertical translation. This would be the amount that the graph of g(x) is shifted up or down compared to the graph of f(x).

Without more information or context, I cannot determine the exact value of k, but hopefully this explanation helps you to understand how to approach this type of problem.

Step-by-step explanation:

The Value of k in function translation is 3.

To find the value of k, we need to look at the translation of the function. The + sign indicates a horizontal translation to the right, and the - indicates a vertical translation downward.

From the given graph, we can see that the translation is 1 unit to the right and 3 units downward.

Therefore, the value of k is 3.

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Answer:

C

Step-by-step explanation:

To set up the equation for the length of each supporting cable (d) as a function of the angle θ, we can use trigonometry.

The supporting cables form right triangles with the ground, where the tower serves as the height (h) of the triangle, and the length of the supporting cable (d) is the hypotenuse. The angle θ is the angle between the supporting cable and the ground.

Step-by-step process to set up the equation:

Step 1: Identify the Relevant Trigonometric Function

Since we know the height (h) of the triangle and the angle θ, we can use the trigonometric function "cosine" (cos) to relate the angle θ to the length of the supporting cable (d).

Step 2: Write the Equation

The cosine function relates the adjacent side (h) and the hypotenuse (d) of the right triangle:

cos(θ) = h / d

Step 3: Isolate the Variable (d)

To find the length of the supporting cable (d), we need to isolate the variable (d) on one side of the equation:

d = h / cos(θ)

Now, we have the equation that gives us the length of each supporting cable (d) as a function of the angle θ.

b. To find d when θ = 60° and when θ = 50°:

Step 4: Substitute the Values of h and θ into the Equation

In the given problem, the height (h) is given as 100 ft above the ground. We'll use this value to find d for θ = 60° and θ = 50°.

For θ = 60°:

h = 100 ft

θ = 60°

d = h / cos(θ)

d = 100 ft / cos(60°)

Using the value of cosine for 60° (cos(60°) = 0.5√3), we get:

d = 100 ft / (0.5√3) ≈ 115.47 ft (rounded to two decimal places)

For θ = 50°:

h = 100 ft

θ = 50°

d = h / cos(θ)

d = 100 ft / cos(50°)

Using the value of cosine for 50° (cos(50°) ≈ 0.64279), we get:

d = 100 ft / 0.64279 ≈ 155.67 ft (rounded to two decimal places)

So, when θ = 60°, the length of each supporting cable (d) is approximately 115.47 ft, and when θ = 50°, the length of each supporting cable (d) is approximately 155.67 ft.

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To model the length (d) of each supporting cable as a function of the angle (θ) that it makes with the ground, we can use trigonometry.

As mentioned before, the supporting cables form right triangles with the ground, where the tower serves as the height (h) of the triangle, and the length of the supporting cable (d) is the hypotenuse. The angle θ is the angle between the supporting cable and the ground.

Step-by-step process to derive the model:

Step 1: Identify the Relevant Trigonometric Function

Since we know the height (h) of the triangle and the angle θ, we can use the trigonometric function "cosine" (cos) to relate the angle θ to the length of the supporting cable (d).

Step 2: Write the Equation

The cosine function relates the adjacent side (h) and the hypotenuse (d) of the right triangle:

cos(θ) = h / d

Step 3: Isolate the Variable (d)

To find the length of the supporting cable (d), we need to isolate the variable (d) on one side of the equation:

d = h / cos(θ)

Now we have the equation that gives us the length of each supporting cable (d) as a function of the angle θ.

Step-by-step process to find d when θ = 60° and θ = 50°:

Given: h = 100 ft (height above the ground)

For θ = 60°:

θ = 60°

d = h / cos(θ)

d = 100 ft / cos(60°)

Step 4.1: Calculate the value of cos(60°):

cos(60°) = 0.5

Step 4.2: Substitute the value of cos(60°) into the equation:

d = 100 ft / 0.5

d = 200 ft

So, when θ = 60°, the length of each supporting cable (d) is 200 ft.

For θ = 50°:

θ = 50°

d = h / cos(θ)

d = 100 ft / cos(50°)

Step 4.3: Calculate the value of cos(50°):

cos(50°) ≈ 0.64279

Step 4.4: Substitute the value of cos(50°) into the equation:

d = 100 ft / 0.64279

d ≈ 155.67 ft (rounded to two decimal places)

So, when θ = 50°, the length of each supporting cable (d) is approximately 155.67 ft.

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Answer:

Step-by-step explanation:

2500 divided by 50 is 50, The parking lot will need 50 rows in it.

Answer: 50 rows

Step-by-step explanation:

First takes 2500 divided by 50 = 50 rows

The equation of the line that is parallel to the given line and passes through the point (-2, 2) is y = (1/5)x + 12/5.

To find the equation of the line that is parallel to the given line and passes through the point (-2, 2), we need to first determine the slope of the given line. The slope of a line is defined as the change in y divided by the change in x between any two points on the line. We can use the coordinates (-5, -4) and (0, -3) to find the slope of the given line as follows:

slope = (change in y) / (change in x)

= (-3 - (-4)) / (0 - (-5))

= 1/5

Now that we know the slope of the given line, we can use it to find the equation of the line that is parallel to it and passes through the point (-2, 2). Parallel lines have the same slope, so the equation of the new line will have the same slope as the given line. We can use the point-slope form of the equation of a line to find the equation of the new line as follows:

y - y₁ = m(x - x₁)

where y₁ and x₁ are the coordinates of the given point, and m is the slope of the given line. Plugging in the values we have, we get:

y - 2 = (1/5)(x - (-2))

y - 2 = (1/5)(x + 2)

y - 2 = (1/5)x + 2/5

This is the equation of the line that is parallel to the given line and passes through the point (-2, 2). We can simplify it further by adding 2 to both sides to get:

y = (1/5)x + 2/5 + 2

y = (1/5)x + 12/5

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Complete Question:

On a coordinate plane, a line goes through (- 5, - 4) and (0, - 3). A point is at (- 2, 2).What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

The mean squared error when the sample mean is 12 and population mean  15 is 9.

The average of the squares of the errors, or the average squared difference between the estimated values and the real value, is measured by the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity).

The mean squared error (MSE) is calculated as the average of the squared differences between the estimator (sample mean) and the true value (population mean).

MSE = (sample mean - population mean)²

MSE = (12 - 15)²

MSE = (-3)²

MSE = 9

Therefore, the mean squared error is 9.

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Answer: 70% i think

70% * 2400 = 1680

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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To find the cost of the new floor, we need to first calculate the area of the kitchen in square yards. We can do this by multiplying the width by the length the chef's new floor will cost $357.12.

The new floor area of the kitchen can be calculated as follows:Area = length × width Area = 12 yards × 8 yards Area = 96 square yards

Therefore, the new floor area of the kitchen is 96 square yards.The cost of the new flooring can be calculated as follows:Cost = price per square yard × area Cost = $3.73 per square yard × 96 square yards Cost = $357.12Therefore, the chef's new floor will cost $357.12.

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Answer: Yes

Step-by-step explanation:

This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.

The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.

The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.

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