which of the following statements is true regarding the diagram below​

Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable.

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z)  is called an ordered triple.

To find a solution, we can perform the following operations:

Graphically, the ordered triple defines the point that is the intersection of three planes in space. You can visualize such an intersection by imagining any corner in a rectangular room. A corner is defined by three planes: two adjoining walls and the floor (or ceiling). Any point where two walls and the floor meet represents the intersection of three planes.

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The value of length JK is 11

A tangent is a straight line that touches any part of the circumference. A circumference is the outer body of a circle.

A theorem of tangency states that if lines comes from thesame point of a circumference and meet at a point , then the lines are equal.

Therefore we can say that;

JA = JB = 5

AL = LC = 9

CK = LK - LC

= 15 -9

= 6

BK = LK = 6

therefore ;

JK = BK + JP

= 6+5

= 11

Therefore the value of JK is 11

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Answer:

To calculate the number of points Candidate A receives under Pairwise Comparison using Copeland's Method, we need to compare Candidate A with each of the other candidates and count the number of times that he/she beats them.

Comparing Candidate A with Candidate B:

- Candidate A beats Candidate B in the second choice, so gets 1 point.

Comparing Candidate A with Candidate C:

- Candidate A beats Candidate C in the third choice, so gets 1 point.

Comparing Candidate A with Candidate D:

- Candidate A loses to Candidate D in the fourth choice, so doesn't get any point.

Thus, Candidate A receives a total of 2 points under Pairwise Comparison (Copeland's Method).

To determine the winner of this election under Pairwise Comparison (Copeland's Method), we need to compare each candidate with every other candidate and count the number of times they win. The candidate with the most wins is the winner.

Calculating the number of wins for each candidate:

- Candidate A wins twice (against Candidate B and Candidate C).

- Candidate B wins once (against Candidate D).

- Candidate C wins twice (against Candidate B and Candidate D).

- Candidate D wins once (against Candidate A).

Therefore, the winner of this election under Pairwise Comparison (Copeland's Method) is a tie between Candidates A and C, as they both have two wins each.

According to Copeland's method for pairwise comparison, each candidate receives points based on their pairwise comparisons against other candidates. The number of points received by Candidate A is 13. Based on the points, the winner of this election under Copeland's method is Candidate C.

In Copeland's method, each candidate receives points based on the number of pairwise comparisons they win against other candidates. The points are calculated as follows:

For each pairwise comparison won, a candidate receives 1 point.

For each pairwise comparison tied, a candidate receives 0.5 points.

For each pairwise comparison lost, a candidate receives 0 points.

From the given information, we can determine the points received by Candidate A as follows:

Number of voters: 7 + 10 + 16 = 33

First choice: Candidate C (received 7 votes, so wins 7 pairwise comparisons, 7 points)

Second choice: Candidate B (received 10 votes, so wins 10 pairwise comparisons, 10 points)

Third choice: Candidate A (received 16 votes, so wins 16 pairwise comparisons, 16 points)

Fourth choice: Candidate D (received 0 votes, so wins 0 pairwise comparisons, 0 points)

Total points for Candidate A = 7 + 10 + 16 + 0 = 33

Based on the points, Candidate A receives 33 points. However, the winner under Copeland's method is determined by comparing the total points received by each candidate. In this case, Candidate C receives the highest number of points (13), making Candidate C the winner.

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Answer:

this is the answer to the question, its 5.6 for sure

Answer:

Hello!

A' is (-4, 0)

B' is (-1, 4)

C' is (-1, -3)

Step-by-step explanation:

Here are the points and a graph showing the dilation in purple

The particular solution is: y_p = (-1/2)e^(2x). So the general solution to the differential equation is: y = C_1e^(2x) + C_2xe^(2x) - (1/2)e^(2x)

To find a particular solution of y'' - 4y' + 4y = e^(2x), we can use the method of undetermined coefficients. Since the right-hand side is e^(2x), we assume a particular solution of the form y_p = Ae^(2x), where A is a constant to be determined.

Taking the first and second derivatives of y_p, we get:

y'_p = 2Ae^(2x)
y''_p = 4Ae^(2x)

Substituting these expressions into the differential equation, we get:

4Ae^(2x) - 4(2Ae^(2x)) + 4(Ae^(2x)) = e^(2x)

Simplifying and solving for A, we get:

-2Ae^(2x) = e^(2x)

A = -1/2

Therefore, the particular solution is:

y_p = (-1/2)e^(2x)

So the general solution to the differential equation is:

y = C_1e^(2x) + C_2xe^(2x) - (1/2)e^(2x)

where C_1 and C_2 are constants determined by any initial or boundary conditions.

To find a particular solution of the given differential equation, y'' - 4y' + 4y = e^(2x), you can use the method of undetermined coefficients. First, identify the form of the particular solution, which in this case is y_p = Ae^(2x), where A is a constant to be determined. Differentiate y_p twice and plug the results into the given equation to find the value of A. Then, the particular solution will be y_p = Ae^(2x) with the determined value of A.

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Answer:

A

Step-by-step explanation:

Answer:

y = 1/3x + 3

Step-by-step explanation:

Slope form of a equation: y = mx + b. The slope is 1/3, so y = 1/3x + b

Solve for b by plugging the (x, y) coordinate into the equation.

y = 1/3x + b

2 = 1/3(-3) + b

2 = -3/3 + b

2 = -1 + b

b = 3

So your answer is y = 1/3x + 3

The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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Answer:

Yes

Step-by-step explanation:

I dont know why

Equation of a line

The slope-intercept form of the line can be written as follows:

Where m is the slope and b is the y-intercept

We have two points through which the line passes. If we substitute them into the equation, we can find the values of m and b.

Using the point (-4,-6):

Using the point (4,4):

Subtract the second equation from the first equation:

Solve for m:

Substituting into the second equation:

Finally, the equation of the required line is:

Answer:

40words

Step-by-step explanation:

Answer: 40

Step-by-step explanation: I Took The Test

Answer:

372 miles

Step-by-step explanation:

You need to multiply 62 and 6

Answer:

372

Step-by-step explanation:

just mulitple

i hope thi shelps

BRAINLIEST PLSSS

Answer:

a

Step-by-step explanation:

360/18= 20

so the answer is 20 degrees

Answer:

20 degree

Step-by-step explanation:

Total angle for a circle is 360 degree, if divided into 18 part, then each part is 360 / 18 = 20 degree.

If it is helpful, plz give me Brainliest.

The score that separates the top 41% from the bottom 59% is approximately 35.08. To find the score that separates the top 41% from the bottom 59% of scores on an English test with a mean of 33.3 and a standard deviation of 7.1, we need to use the standard normal distribution.

First, we need to find the z-score that corresponds to the top 41% of scores, which can be found using a standard normal distribution table or a calculator. The z-score corresponding to the top 41% is approximately 0.27. We can then use the formula z = (x - μ) / σ to find the corresponding raw score, x, where μ is the mean and σ is the standard deviation. Rearranging the formula gives us x = zσ + μ, which gives us the score that separates the top 41% from the bottom 59%.

In this case, we have z = 0.27, σ = 7.1, and μ = 33.3. Plugging these values into the formula gives us x = 0.27 * 7.1 + 33.3, which simplifies to x = 35.08. Therefore, the score that separates the top 41% from the bottom 59% is approximately 35.08.

This means that if a student scores above 35.08 on the English test, they would be in the top 41% of scores, while if they score below 35.08, they would be in the bottom 59% of scores.

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.

(a) The number of choices with no restriction is 10,000.

(b) The number of choices with no repeated digits is 5,040.

(c) The number of choices with no repeated digits and the third digit as 0 is 648.

(a) With no restriction, there are 10 choices for each digit, ranging from 0 to 9. Since a 4-digit pin code consists of four digits, the total number of choices is 10^4 = 10,000.

(b) When no digit is repeated, the number of choices for the first digit is 10. For the second digit, there are 9 choices remaining (as one digit has been used). Similarly, for the third digit, there are 8 choices remaining, and for the fourth digit, there are 7 choices remaining. Therefore, the total number of choices is 10 × 9 × 8 × 7 = 5,040.

(c) When no digit is repeated and the third digit is fixed as 0, the number of choices for the first digit is 9 (excluding 0). For the second digit, there are 9 choices remaining (as one digit has been used, but 0 is available).

For the fourth digit, there are 8 choices remaining (excluding 0 and the digit used in the second position). Therefore, the total number of choices is 9 × 9 × 8 = 648.

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Answer:

2

Step-by-step explanation:

Use the slope formula \(\frac{y_2-y_1}{x_2-x_1}\)

\(\frac{-4-(-2)}{3-0}\) = \(\frac{6}{3}\) = 2

The slope of the line will be "\(-\frac{2}{3}\)".

The given points are:

\((x_1, y_1) = (0, -2)\)

\((x_2, y_2) = (3, -4)\)

As we know,

→ The slope of the line:

= \(\frac{y_2-y_1}{x_2-x_1}\)

By substituting the values, we get

= \(\frac{-4-(-2)}{3-0}\)

= \(\frac{-4+2}{3}\)

= \(-\frac{2}{3}\)

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Answer:

y=5.4

Step-by-step explanation:

So first we cross multiple.

2*112=35*(y+1)

224=35y+35

-35 on both sides

189=35y

÷35 on both sides

5.4=y

Answer:

c. 4x + 20 = 140

Step-by-step explanation:

Perimeter = 140 feet

Width = L + 10

P = 2w + 2L

P = 2(L + 10) + 2L

P = 2L + 20 + 2L

P = 4L + 20

The length of AD is 2 inches.

Let x be the length of AD. By the Pythagorean theorem in triangle ABD, we have:

\(BD^2 + x^2 = AB^2\)

Substituting AB = BC, we get:

\(BD^2 + x^2 = BC^2\)

Using the fact that triangle ABC is isosceles, we can use the Pythagorean theorem in triangle ABC to find BC:

\(BC^2 = AC^2 - AB^2 = 8^2 - AB^2\)

Substituting this expression for\(BC^2\) in the previous equation, we get:

\(BD^2 + x^2 = 8^2 - AB^2\)

Since BD is the perpendicular bisector of AC, we have AD = DC = (AC/2) = 4 inches. Therefore, we can write:

AB = AD + DB = 4 + DB

Substituting this expression for AB in the previous equation, we get:

\(BD^2 + x^2 = 8^2 - (4 + DB)^2\)

Simplifying this equation, we get:

\(BD^2 + x^2 = 16 - 8DB - DB^2 + x^2\)

Solving for DB, we get:

\(DB = (16 - BD^2 - x^2)/(8 + DB)\)

Now, we can use the fact that BD is the perpendicular bisector of AC to write:

\(BD^2 = AD \times DC = 4x\)

Substituting this expression for\(BD^2\) in the previous equation, we get:

\(4x = (16 - 4x - x^2)/(8 + DB)\)

Simplifying this equation, we get:

\(32x + 4x^2 = 16 - 4x - x^2\)

Solving for x, we get:

x = 2 inches

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Answer:

5 letters

Step-by-step explanation:

Let x = the number of letters engraved.

For the first store, the cost can be written as (18.50 + 0.15x).

For the second store, the cost can be written as (18 + 0.25x).

For the cost and value of x to be the same, let them equal eachother and evaluate x:

18.5 + 0.15x = 18 + 0.25

0.1x = 0.5

∴x=5

Answer:

$445

Step-by-step explanation:

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

The company expects $445 in sales.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.

Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.

Here, x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y as;

y = 2.1 x + 130

y = 2.1 (150) + 130

y = 445

Thus, The company expects $445 in sales.

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Answer:

We can rewrite this as \(\frac{200x}{x} + \frac{-300}{x}\).

\(\frac{200x}{x}\) simplifies to 200 after eliminating x from the numerator and denominator and \(\frac{-300}{x}\) becomes \(-\frac{300}{x}\) so the final answer is \(200 - \frac{300}{x}\).

Jake will have traveled 36 miles in his boat after 3 hours at a speed of 12 mph.

What is Distance?

Distance is defined as the space between two points in space.

To find out how far Jake will have traveled after 3 hours, we can use the formula:

distance = speed x time

where speed is the rate at which Jake is traveling and time is the duration of the travel. In this case, the speed is 12 mph and the time is 3 hours.

So, the distance traveled after 3 hours is:

distance = 12 mph x 3 hours = 36 miles

Therefore, Jake will have traveled 36 miles in his boat after 3 hours at a speed of 12 mph.

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(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

yes

Step-by-step explanation:

it should go in a straight line

Answer: Yes

Step-by-step explanation: