What are the x- and y- coordinates of point p on the directed line segment from k to j such that p is three-fifths the length of the line segment from k to j? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (40, 96) (85, 105) (80, 104) (96, 72)

Answer:

The range is 62

Step-by-step explanation:

Given

\(x:70,12,42,45,50,51,60,69,8,40,18\)

Required

The range

This is calculated as:

\(Range = Highest - Least\)

From the given data

\(Highest = 70\)

\(Least=8\)

So:

\(Range = Highest - Least\)

\(Range = 70-8\)

\(Range = 62\)

Answer:

Its x = 5, x = -1

or B to be more precise

Answer:

mark me as brainleest and i think 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

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Answer:

395.84km²

Step-by-step explanation:

Answer:

Answer:

Option B

Step-by-step explanation:

Answer: B.

Step-by-step explanation: Plato

Answer:

No solutions, because it never intersects. Therefore, there is no value that would make either of the functions equal to each other.

The equation of the line parallel to the given line is y + 4x = 22

The given line is y= -4x+1

Slope of the line = -4

Slope of the parallel line= -4

Equation of the line parallel to the given line which passes through C(6,4)

y - 6 = - 4 ( x - 4 )

y - 6 = -4x + 16

y + 4x = 22

Hence the equation of the parallel line is y + 4x = 22

One that stretches on all sides and has no width is referred to in geometry as a line. A straight line is, to put it simply, a line without bends. An non-curved line that extends to infinity on both sides is said to be straight.

The general equation for a straight line is y = mx + c, where m stands for the line's slope and c for its y-intercept. The most frequently used straight line equation is one that has to do with geometry.

The equation of a straight line can be written in a number of different ways, such as point-slope form, slope-intercept form, general form, standard form, etc.

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Answer:

m=3

Step-by-step explanation:

Answer: yes

Step-by-step explanation: A translation is a transformation that slides a figure to a new position.

So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.

So, this represents a translation.

The frequency table provides a clear overview of the distribution of honey consumption by Martha, highlighting the most common and less common amounts consumed throughout the week.

Based on the given data points representing the number of jars of honey Martha the Bear consumed each day this week, we can create a frequency table to summarize the information.

The frequency table will list the distinct values (number of jars of honey) and their corresponding frequencies (number of days).

Number of jars of honey   Number of days

       2                                                 4

       3                                                 4

       4                                                 6

       5                                                 3

      44                                                 2

In the frequency table, the number 2 appears 4 times, indicating that Martha consumed 2 jars of honey on 4 days. The number 3 also appears 4 times, indicating 3 jars of honey were consumed on 4 days. The number 4 appears 6 times, indicating 4 jars of honey were consumed on 6 days.

Similarly, the number 5 appears 3 times, indicating 5 jars of honey were consumed on 3 days. Finally, the number 44 appears 2 times, indicating 44 jars of honey were consumed on 2 days.

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Answer:

A. 5/3

Step-by-step explanation:

The line is in a positive trend we can see it because when we read it from left to write we can see it go up. The point where we start is 5 levels down from the second point  3 units to the left.

We can model this using  rise/run

Rise = 5

Run = 3

5/3

Answer:

Hello!

_____________________

Your answer would be (A)

Step-by-step explanation: Simplify the expression.

Hope this helped you!

The number of independent variables that must be controlled depends on the specific movement being performed and the goals of the individual performing the movement.

The number of independent variables that must be controlled when an individual completes a movement depends on the complexity of the movement and the context in which it is being performed. However, some common independent variables that are often controlled when an individual completes a movement include:

Kinematics: the position, velocity, and acceleration of the body parts involved in the movement.

Dynamics: the forces and torques acting on the body during the movement.

Environmental factors: the physical characteristics of the environment in which the movement is being performed, such as gravity, friction, and obstacles.

Cognitive factors: the mental processes involved in planning and executing the movement, such as attention, decision-making, and memory.

Feedback: the sensory information that is received during the movement, such as proprioceptive feedback from the muscles and joints, and visual feedback from the environment.

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Answer:

John would be 69 in.

Step-by-step explanation:

Answer:

As shown in picture:

A(-4, 1)

Z(-2, 3)

P(3, -4)

The length of AZ is calculated by:  

L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83

The length of AP is calculated by:

L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60

THe length of ZP is calculated by:

L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60

=>Perimeter of triangle AZP is calculated by:

P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3

Hope this helps!

:)

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Answer:

Y=5X because the slope is 5 and the Y-intercept is 0

The  absolute maximum value of f(x) on the interval [-3,9] is approximately 1.3 x 10^9 and the absolute minimum value of f(x) on the interval [-3,9] is 0.

To find the absolute maximum and minimum values of the function f(x) = x^8e^(-x) on the interval [-3, 9], we first need to find the critical points and endpoints of the function on the interval.

Taking the derivative of the function, we get:

f'(x) = x^7e^(-x)(8-x)

Setting f'(x) equal to zero, we get critical points at x=0 and x=8. We also need to check the endpoints of the interval, x=-3 and x=9.

Now we need to evaluate the function at these points to find the absolute maximum and minimum values.

f(-3) ≈ 3.3 x 10^5
f(0) = 0
f(8) ≈ 1.3 x 10^9
f(9) ≈ 4.4 x 10^8

Therefore, the absolute maximum value of f(x) on the interval [-3,9] is approximately 1.3 x 10^9 and the absolute minimum value of f(x) on the interval [-3,9] is 0.

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The number of robberies in Colorado Springs per year is a ratio variable is 1/2

Ratio variables are a type of continuous variable in which the values have a meaningful order and can be compared in terms of their size.

In terms of mathematical expression, the number of robberies in Colorado Springs per year can be represented by the variable x.

The value of x can range from 0 to infinity, with 0 implying the absence of robberies and any value greater than 0 representing the number of robberies that have occurred. The mathematical expression for this ratio variable would be:

=> x = number of robberies in Colorado Springs per year.

Where the value of 4 and 2, then it can be written as,

=> 2/4 = 1/2

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To determine whether the given functions form a fundamental solution set to the equation x'(t) = Ax, we need to check if they are linearly independent and if they satisfy the equation.

First, let's check if they satisfy the equation:

x1' = [cos(t) -sin(t); sin(t) cos(t)] [cos(t); sin(t)] = [-sin(t); cos(t)]
Ax1 = [0 -1; 1 0] [cos(t); sin(t)] = [-sin(t); cos(t)]

Since x1' = Ax1, x1 satisfies the equation.

x2' = [cos(t) -sin(t); sin(t) cos(t)] [cos(2t); sin(2t)] = [-2sin(2t); 2cos(2t)]
Ax2 = [0 -1; 1 0] [cos(2t); sin(2t)] = [-sin(2t); cos(2t)]

Since x2' = Ax2, x2 satisfies the equation.

x3' = [cos(t) -sin(t); sin(t) cos(t)] [-sin(t); cos(t)] = [-sin(t); -cos(t)]
Ax3 = [0 -1; 1 0] [-sin(t); cos(t)] = [-cos(t); -sin(t)]

Since x3' = Ax3, x3 satisfies the equation.

Next, let's check if they are linearly independent. We can use the Wronskian to do this:

W(x1, x2, x3) = det([cos(t) cos(2t) -sin(t); sin(t) sin(2t) cos(t); -sin(t) cos(2t) -cos(t)])
= 2sin(t) + 2sin(2t)cos(t) - 2sin(t)cos(2t)
= 2sin(t)(1 - cos(2t) + cos(2t))
= 2sin(t)(2sin^2(t))
= 4sin^3(t)

Since the Wronskian is not zero for any t, the functions are linearly independent.

Therefore, the given functions form a fundamental solution set to x'(t) = Ax. To find a fundamental matrix, we can simply put the functions as columns:

Phi = [cos(t) cos(2t) -sin(t); sin(t) sin(2t) cos(t); -sin(t) cos(2t) -cos(t)]

The general solution is given by:

x(t) = c1*cos(t) + c2*cos(2t) - c3*sin(t) + c4*sin(2t)

where c1, c2, c3, c4 are constants determined by the initial conditions.

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These points and the symmetry of the curve, we can sketch the graph as a curved diamond shape passing through the points (5,0), (3,3), (0,2), (-2,-1), (-1,-2), (0,-5), (3,-3), and (5,0)

To convert the polar equation r = 5cosθ + 2sinθ to a rectangular equation, we use the relationships:

x = r cosθ

y = r sinθ

Substituting r with its value in terms of cosine and sine, we get:

x = (5cosθ + 2sinθ)cosθ = 5cos^2θ + 2cosθsinθ

y = (5cosθ + 2sinθ)sinθ = 5cosθsinθ + 2sin^2θ

So the rectangular equation is:

x = 5cos^2θ + 2cosθsinθ

y = 5cosθsinθ + 2sin^2θ

Now we can use a rectangular coordinate system to graph this equation. We can first find some key points by plugging in values for θ, such as θ = 0, π/4, π/2, etc.

When θ = 0, we get x = 5cos^2(0) + 2cos(0)sin(0) = 5 and y = 0*sin(0) + 2sin^2(0) = 0, so the point (5,0) is on the graph.

When θ = π/4, we get x = 5cos^2(π/4) + 2cos(π/4)sin(π/4) = 3 and y = 5cos(π/4)sin(π/4) + 2sin^2(π/4) = 3, so the point (3,3) is on the graph.

When θ = π/2, we get x = 5cos^2(π/2) + 2cos(π/2)sin(π/2) = 0 and y = 5cos(π/2)sin(π/2) + 2sin^2(π/2) = 2, so the point (0,2) is on the graph.

We can also see that the curve is symmetric with respect to the line y=x by noting that x and y are equal when θ = π/4.

Using these points and the symmetry of the curve, we can sketch the graph as a curved diamond shape passing through the points (5,0), (3,3), (0,2), (-2,-1), (-1,-2), (0,-5), (3,-3), and (5,0).

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Answer: 360 miles

Step-by-step explanation: 640/16=40. 40x9=360.

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Answer:

2079

Step-by-step explanation:

is the correct answer 2079

Answer:

If the missing data value was 55, the range of the data would change significantly

If the missing data value was 22, the interquartile range of the data would change significantly

Step-by-step explanation:

Given the data

8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34,40

The range of the data is the difference between the highest value and the lowest value of the data.

Highest value = 40

Lowest value = 8

Range = 40-8

Range = 32

If 55 was missing, we need yo find the range of the data if 55 was included.

Highest value will be 55

Lowest value = 8

Range in this case = 55-8

Range = 47

Difference in range = 47-32= 15

This means that if 55 was missing, it will significantly affect the value of the range.

- Interquartile range = Q3-Q1

Q3 is the median value of the other half of the data.

Q1 is the median value of the first half of the data.

If 55 wasn't included, the first part of the data:

8, 9, 12, 12), 13, (15, 16, 16, 16

Q1 = 13 (median value of the extracted data)

The second part of the data if 55 wasn't included:

18, 21, 22, 23), 27, (28, 32, 34, 40

Q3 = 27 (median value of the second part of the data)

IQR = Q3-Q1

IQR = 27-13

IQR = 14

If 55 was included, the data will be;

8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40,55

Q1 = N+1/4 the value

N is the sample size = 19

Q1 = 19+1/4

Q1 = 20/4

Q1 = 5th value

The 5th value in the data is 13, hence Q1 is 13

Q3 = 3(N+1)/4th value

Q3 = 3(19+1)/4

Q3 = 60/4

Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28

IQR = 28-13

IQR = 15 (if 55 was included)

Difference in IQR = 15-14 = 1

This means that if 55 was the missing data, the IQR will not change significantly.

Note that the range of the data will not change if the missing value is 22 because, the 22 is a value lower than the highest value of the dataset, hence the range will remain the same (40-8 = 32) irrespective of 22 missing or not.

For the Interquartile range

If 22 was in

Q3 = 3(N+1)/4th value

Q3 = 3(19+1)/4

Q3 = 60/4

Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28

IQR = 28-13

IQR = 15 (if 55 was included)

Difference in IQR = 15-14 = 1

This means that if 55 was the missing data, the IQR will not change significantly.

Based on the calculation, the correct options are:

- If the missing data value was 55, the range of the data would change significantly

- If the missing data value was 22, the interquartile range of the data would change significantly

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

B) 25

Step-by-step explanation:

0.10x + 0.20y = 0.18(x+y)

Here, y=100

Put the value of y in the given equation,

0.10x + 0.20*(100) = 0.18(x+100)

0.10x + 20 = 0.18x + 18

Subtract 0.18x and 20 on both sides,

0.10x - 0.18x = 18 - 20

-0.08x = -2

Divide by -0.08,

x = 25 millilitres