To find the derivative matrix of the composition of functions f∘g, we need to compute the partial derivatives of f with respect to u and v, and then evaluate them at the point (u(x, y), v(x, y)). Let's calculate the partial derivatives first:
∂f/∂u = cos(u)cos(v)
∂f/∂v = -sin(u)sin(v)
Now, let's substitute u = 4x^2 - 5y and v = 3x - 5y into the partial derivatives:
∂f/∂u = cos((4x^2 - 5y))cos((3x - 5y))
∂f/∂v = -sin((4x^2 - 5y))sin((3x - 5y))
The derivative matrix D(f∘g)(x, y) is a 1x2 matrix (a row vector) where each entry represents the partial derivative of f∘g with respect to x and y, respectively.
D(f∘g)(x, y) = (∂f/∂u ∂f/∂v) evaluated at (u(x, y), v(x, y))
D(f∘g)(x, y) = (cos((4x^2 - 5y))cos((3x - 5y)), -sin((4x^2 - 5y))sin((3x - 5y)))
A pencil box has dimensions of 6 1/2 in 3 1/2 in and one one over 2 in respectively approximately how many cubes with the side length of 1/2 inches will be needed to fill the prism
Approximately 273 cubes with a side length of 1/2 inch will be needed to fill the prism.
To determine the number of cubes with a side length of 1/2 inch needed to fill the prism, we need to calculate the volume of the prism and divide it by the volume of a single cube.
The given dimensions of the pencil box are:
Length: 6 1/2 inches
Width: 3 1/2 inches
Height: 1 1/2 inches
To find the volume of the prism, we multiply the length, width, and height:
Volume of the prism = Length [tex]\times[/tex] Width [tex]\times[/tex] Height
[tex]= (6 1/2) \times (3 1/2) \times (1 1/2)[/tex]
First, we convert the mixed numbers to improper fractions:
[tex]6 1/2 = (2 \times 6 + 1) / 2 = 13/2[/tex]
[tex]3 1/2 = (2 \times 3 + 1) / 2 = 7/2[/tex]
[tex]1 1/2 = (2 \times 1 + 1) / 2 = 3/2[/tex]
Now we substitute the values into the formula:
Volume of the prism [tex]= (13/2) \times (7/2) \times (3/2)[/tex]
[tex]= (13 \times 7 \times 3) / (2 \times 2 \times 2)[/tex]
= 273 / 8
≈ 34.125 cubic inches.
Next, we calculate the volume of a single cube with a side length of 1/2 inch:
Volume of a cube = Side length [tex]\times[/tex] Side length [tex]\times[/tex] Side length
[tex]= (1/2) \times (1/2) \times (1/2)[/tex]
= 1/8
To find the number of cubes needed to fill the prism, we divide the volume of the prism by the volume of a single cube:
Number of cubes = Volume of the prism / Volume of a single cube
= (273 / 8) / (1/8)
= 273
For similar question on prism.
https://brainly.com/question/28795033
#SPJ8
The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45cm 7mm when they are born, What is the height of the average fourth grader?
The height of the average fourth grader is 135 cm 21 mm
How to determine the height of the average fourth grader?From the question, we have the following parameters that can be used in our computation:
Birth age = 45 cm 7 mm
Average fourth grader = three times as tall
using the above as a guide, we have the following:
Average fourth grader = 3 * Birth age
So, we have
Average fourth grader = 3 * 45 cm 7 mm
Evaluate
Average fourth grader = 135 cm 21 mm
Hence, the height of the average fourth grader is 135 cm 21 mm
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
If you spin the spinner 90 times, what is the best prediction possible for the number of times
it will not land on yellow?
times
Submit
Answer:
Assuming the spinner has 6 equal sectors of different colors, and yellow is only one of those colors, we can say that the probability of the spinner not landing on yellow is 5/6 or approximately 0.8333.
To predict the number of times the spinner will not land on yellow out of 90 spins, we can multiply the probability by the total number of spins:
0.8333 x 90 = 74.997 or approximately 75
Therefore, the best prediction possible for the number of times the spinner will not land on yellow out of 90 spins is 75 times.
What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
Answer:
the volume of the square pyramid is 2430 cubic cm
Answer:
1296 cm³
Step-by-step explanation:
V = a² x [√s²- (a/2)²] / 3
a = 18 cm
s = 15 cm
V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3
V = 324 x (√144/3) = 1296 cm³
After lunch, you and your friends decide to head to a local theme park for some afternoon fun in the sun. You must choose between the three theme parks shown below! Use the table, graphs, and equation to answer the questions that follow.
Based on the data, we can infer that the park with the highest fee is Coaster City.
How to find the value of each park?To find the value of each park we must take into account the different tables that show the value of each park. In this case we must find the unit value of each park as follows:
Park 1:
10 / 2 = $5Park 2:
y = 5(1) + 7.50and = $12.5Park 3:
40 / 10 = $4In accordance with the above, we can infer that the 2 Coaster City park is the one with the highest rate.
Learn more about rates in: https://brainly.com/question/2278897
#SPJ1
The equation T^2=A^3 shows the relationship between a planets orbital period, T, and the planets mean distance from the sun, A in astronomical units, AU. If planet y is twice the mean distance from the sun as planet x. by what fsctor is the orbital period increased?
Answer:
2 * A^(3/2).
Step-by-step explanation:
Given that planet y is twice the mean distance from the sun as planet x, we can denote the mean distance of planet x as "A" and the mean distance of planet y as "2A".
The equation T^2 = A^3 represents the relationship between the orbital period (T) and the mean distance from the sun (A) for a planet.
Let's compare the orbital periods of planet x and planet y using the equation:
For planet x:
T_x^2 = A^3
For planet y:
T_y^2 = (2A)^3 = 8A^3
To find the factor by which the orbital period is increased from planet x to planet y, we can take the square root of both sides of the equation for planet y:
T_y = √(8A^3)
Simplifying the square root:
T_y = √(2^3 * A^3)
= √(2^3) * √(A^3)
= 2 * A^(3/2)
Now, we can express the ratio of the orbital periods as:
T_y / T_x = (2 * A^(3/2)) / T_x
As we can see, the orbital period of planet y is increased by a factor of 2 * A^(3/2) compared to the orbital period of planet x.
Therefore, the factor by which the orbital period is increased from planet x to planet y depends on the value of A (the mean distance from the sun of planet x), specifically, it is 2 * A^(3/2).
100 Points! Geometry question. Photo attached. Determine whether each pair or figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning. Please show as much work as possible. Thank you!
The pair of figures are similar because:
• Both figures are parallelograms
• All sides are congruent.
• Scale factor 1: 2.5
How to identify the similarity statement?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The pair of figures are similar because:
• Both figures are parallelograms
• All sides are congruent
• Angles W and Y are congruent with angles P and R
• Angles X and Z are congruent with angles S and Q
• Scale factor 1 : 2.5
Read more about similarity statements at: https://brainly.com/question/31280951
#SPJ1
Find the value of the permutation.
P(5,0)
P(5,0)= (Simplify your answer.)
www
The value of the permutation P(5,0) is 1.
To find the value of the permutation P(5,0), we can use the formula:
P(n, r) = n! / (n - r)!
In this case, we have n = 5 and r = 0.
Substituting these values into the formula, we get:
P(5,0) = 5! / (5 - 0)!
Since any number factorial is equal to 1, we have:
P(5,0) = 5! / 5!
Simplifying further:
P(5,0) = 1
Therefore, the value of the permutation P(5,0) is 1.
Learn more about Permutation here:
https://brainly.com/question/29990226
#SPJ1
Triangle ABC, with vertices A(-9,-8), B(-2,-9), and C(-8,-5), is drawn inside a rectangle. What is the area, in square units, of triangle ABC?
The area of triangle ABC is 19 square units.
To find the area of a triangle, we can use different formulas depending on the information available. Since we have the coordinates of the vertices A(-9, -8), B(-2, -9), and C(-8, -5), we can use the Shoelace Formula (also known as the Gauss's area formula) to calculate the area of the triangle.
The Shoelace Formula states that if the coordinates of the vertices of a triangle are (x1, y1), (x2, y2), and (x3, y3), then the area (A) of the triangle can be calculated as:
Area = 0.5 * |(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2))|
Using the coordinates of the vertices A(-9, -8), B(-2, -9), and C(-8, -5), we can substitute these values into the formula to calculate the area.
Let's calculate step by step:
x1 = -9
y1 = -8
x2 = -2
y2 = -9
x3 = -8
y3 = -5
Area = 0.5 * |(-9 * (-9 - (-5)) + (-2) * (-5 - (-8)) + (-8) * ((-8) - (-9)))|
Area = 0.5 * |(-9 * (-4) + (-2) * (3) + (-8) * (-1))|
Area = 0.5 * |(36 + (-6) + 8)|
Area = 0.5 * |(38)|
Area = 0.5 * 38
Area = 19
Therefore, the area of triangle ABC is 19 square units.
For more such questions on area , Visit:
https://brainly.com/question/25292087
#SPJ11
Two car services charge different rates. A charges .60 per mile plus 3.00initial charge B charges .75 per mile mile traveled . the situation is modeled bu this system where x is the number of miles traveled and y is the charge for that distance ,in cents. How many miles must each car travel for the charges to be equal and ehat is the charge for that distance
The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.
To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.
Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:
For car service A: y_A = 0.60x + 300 (in cents)
For car service B: y_B = 0.75x (in cents)
To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:
0.60x + 300 = 0.75x
Subtracting 0.60x from both sides:
300 = 0.15x
Dividing both sides by 0.15:
x = 300 / 0.15
x = 2000
Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:
y_A = 0.60(2000) + 300
y_A = 1200 + 300
y_A = 1500 cents or $15.00
So, when each car travels 2000 miles, the charges will be equal at $15.00.
For more questions on distance
https://brainly.com/question/28342342
#SPJ8
Find the maximum for the profit function,
P = 2x+10y
subject to the following constraints.
4x + 2y ≤ 5
-3x+y 2-2
X>0
(y ≥0
4x + 2y ≤ 5
-3x + y 2 -2
Round your answer to the nearest cent (hundredth).
Answer:
The maximum value of the profit function occurs at the corner point with the highest value, which is P2 = 25.
Therefore, the maximum profit is $25.
Step-by-step explanation:
Please answer the attached question
Answer:
∠ DFG = 48°
Step-by-step explanation:
the central angle is equal to the measure of the arc that subtends it.
since EOG is the diameter of the circle with central angle of 180° , then
arc EG = 180°
the inscribed angle EGD is half the measure of the arc ED that subtends it, so
arc ED = 2 × ∠ EGD = 2 × 42° = 84° , then
ED + DG = EG , that is
84° + DG = 180° ( subtract 84° from both sides )
DG = 96°
Then
∠ DFG = [tex]\frac{1}{2}[/tex] × EG = [tex]\frac{1}{2}[/tex] × 96° = 48°
HELP!!! what is the answer!!!!
Answer:
Step-by-step explanation:
the of of 50 percent of people is married
Describe the transformations of each equation
The required answer are :
6. The transformation from the graph of f to the graph of r in equation (6) involves compressing the graph horizontally by a factor of 5/2.
7. The transformation from the graph of f to the graph of r in equation (7) involves stretching the graph vertically by a factor of 6.
8. The transformation from the graph of f to the graph of r in equation (8) involves shifting the graph horizontally to the right by 3 units.
9. The transformation from the graph of f to the graph of r in equation (9) involves compressing the graph horizontally by a factor of 4/3.
10. The transformation from the graph of f to the graph of r in equation (10) involves shrinking the graph vertically by a factor of 1/2.
11. The transformation from the graph of f to the graph of r in equation (11) involves shifting the graph vertically upward by 3 units.
In formula form: r(x) = f(2/5x)
This transformation causes the graph of r to become narrower compared to the graph of f, as it is compressed horizontally. The rate at which x-values change is increased, resulting in a steeper slope. The overall shape and direction of the graph remain the same, but it is narrower and more compact.
Therefore, the transformation from the graph of f to the graph of r in equation (6) involves compressing the graph horizontally by a factor of 5/2. This means that every x-coordinate in the graph of f is multiplied by 2/5 to obtain the corresponding x-coordinate in the graph of r. The vertical positioning of the graph remains unchanged.
In formula form: r(x) = 6f(x)
This transformation causes the graph of r to become taller compared to the graph of f, as it is stretched vertically. The rate at which y-values change is increased, resulting in a steeper slope. The overall shape and direction of the graph remain the same, but it is taller and more elongated.
Therefore, the transformation from the graph of f to the graph of r in equation (7) involves stretching the graph vertically by a factor of 6. This means that every y-coordinate in the graph of f is multiplied by 6 to obtain the corresponding y-coordinate in the graph of r. The horizontal positioning of the graph remains unchanged.
In formula form: g(x) = f(x - 3)
This transformation causes the entire graph of f to shift to the right by 3 units. Every point on the graph of f moves horizontally to the right, maintaining the same vertical position. The overall shape and slope of the graph remain the same, but it is shifted to the right.
Therefore, the transformation from the graph of f to the graph of r in equation (8) involves shifting the graph horizontally to the right by 3 units. This means that each x-coordinate in the graph of f is increased by 3 to obtain the corresponding x-coordinate in the graph of r. The vertical positioning of the graph remains unchanged.
In formula form: g(x) = f(4/3x)
This transformation causes the graph of r to become narrower compared to the graph of f, as it is compressed horizontally. The rate at which x-values change is increased, resulting in a steeper slope. The overall shape and direction of the graph remain the same, but it is narrower and more compact.
Therefore, the transformation from the graph of f to the graph of r in equation (9) involves compressing the graph horizontally by a factor of 4/3. This means that every x-coordinate in the graph of f is multiplied by 4/3 to obtain the corresponding x-coordinate in the graph of r. The vertical positioning of the graph remains unchanged.
In formula form: g(x) = 1/2 f(x)
This transformation causes the graph of r to become shorter compared to the graph of f, as it is vertically shrunk. The rate at which y-values change is decreased, resulting in a flatter slope. The overall shape and direction of the graph remain the same, but it is shorter and more compact.
The transformation from the graph of f to the graph of r in equation (10) involves shrinking the graph vertically by a factor of 1/2. This means that every y-coordinate in the graph of f is multiplied by 1/2 to obtain the corresponding y-coordinate in the graph of r. The horizontal positioning of the graph remains unchanged.
In formula form: g(x) = f(x) + 3
This transformation causes the entire graph of f to shift upward by 3 units. Every point on the graph of f moves vertically upward, maintaining the same horizontal position. The overall shape and slope of the graph remain the same, but it is shifted upward.
The transformation from the graph of f to the graph of r in equation (11) involves shifting the graph vertically upward by 3 units. This means that every y-coordinate in the graph of f is increased by 3 to obtain the corresponding y-coordinate in the graph of r. The horizontal positioning of the graph remains unchanged.
Learn more about graph transformations click here:
https://brainly.com/question/19040905
#SPJ1
Multiplying polynomials (7x - 5)(6x - 4)
The product of (7x - 5)(6x - 4) is 42x^2 - 58x + 20.
First, distribute the first term of the first polynomial (7x) to each term in the second polynomial (6x - 4):
7x × 6x = 42x²
7x × (-4) = -28x
Next, distribute the second term of the first polynomial (-5) to each term in the second polynomial (6x - 4):
-5 × 6x = -30x
-5 × (-4) = 20
Now, combine the like terms:
42x² - 28x - 30x + 20
Simplify the expression:
42x² - 58x + 20
Therefore, the product of (7x - 5)(6x - 4) is 42x^2 - 58x + 20.
Learn more about Polynomial here:
https://brainly.com/question/11536910
#SPJ1
Copy the axes below.
By first filling the table for y=x+4, draw the graph on your axes.
The complete table for the function are
x -2 -1 1 3
y 2 3 5 7
The graph is added as an attachment
How to complete the missing parts of the table for the function.From the question, we have the following parameters that can be used in our computation:
The function equation and the incomplete table of values
This is given as
y = x + 4
From the table, the missing values are at
x = -2, x = -1, 1 and x = 3
So, we have
y = -2 + 4 = 2
y = -1 + 4 = 3
y = 1 + 4 = 5
y = 3 + 4 = 7
The graph is added as an attachment
Read more about functions at
brainly.com/question/27915724
#SPJ1
(4x-12) + ( 1/2x y -10) for x=4 and y=6
Answer: (4x-12) + ( 1/2x y -10) = 6
Step-by-step explanation:
First, input 4 for x and 6 for y into the equation so it looks like this:
(4(4)-12) + (1/2(4)(6)-10)
Now solve inside the parentheses starting with the first one. 4 * 4 = 16 so the inside of the first parentheses should look like (16 - 12) which equals 4.
For the second set of parentheses, 1/2 * 4 * 6 = 12, so the inside of that parentheses would look like (12 - 10), which equals 2.
At this point, the equation should look like this: (4) + (2). If you add those two together, your answer should be 6.
A presidential candidate plans to begin her campaign by visiting the capitals and three of 43 states. What is the probability that she selects the route of three specific capitals
The probability that she selects the route of three specific capitals is 3/43
What is the probability that she selects the route of three specific capitalsFrom the question, we have the following parameters that can be used in our computation:
States = 43
Capitals = 3
The probability is then calculated as
P = Capitals/States
substitute the known values in the above equation, so, we have the following representation
P = 3/43
Hence, the probability is 3/43
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
Learn more about system of inequalities at.
https://brainly.com/question/9774970
#SPJ1
I need help bro how do you find the median, perp bisector, altitude, and angle bisector of a triangle? I need to know this for my final
You can determine the median of a triangle by looking out for the point that is 2/3 of the distance tht connects from the vertices, to midpoint and oposite sides.
The perpendicular bisector is determined by measuring the point that is equidistant from the segment.
How to find the altitude and angle bisectorThe altitude of a triangle can be found by measiring the height of the triangle's extension that could be inside or outside the triangle. In obtsue triangles, this altitude is commonly found outside the triangle.
Also, the angle bisector of a triangle is the point that is equidistant from the angles sides. These descriptions can help in analyzing a trinagle.
Learn more about angle bisectors here:
https://brainly.com/question/24334771
#SPJ1
A sample of 318 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Female Male 47 37 20 36 What is the relative frequency of biology majors in the sample? Round your answer to two decimal places. 43 15 Mathematics 29 35 Computer science 20 36
A hemisphere has a
surface area of 768
square feet. Find
the diameter of the
hemisphere.
The diameter of the hemisphere is 39.1918 feet.
The surface area of a hemisphere is given by the formula:
Surface Area = 2πr²
We have,
surface area of the hemisphere is 768π square feet,
So, 2πr² = 768π
Dividing both sides of the equation by 2π, we get:
r² = 384
To find the diameter, we need to double the radius.
Taking the square root of both sides of the equation, we get:
r = √384
r ≈ 19.5959
Now, Diameter ≈ 2 x 19.5959 ≈ 39.1918
Therefore, the diameter of the hemisphere is 39.1918 feet.
Learn more about Surface Area here:
https://brainly.com/question/31464920
#SPJ1
Given below are lease terms at the local dealership. What is the total cash due at signing?
Terms:
Length of lease: 30 months
MSRP of the car $15,500
• Purchase value of the car after lease: $9900
Down payment $2500
Monthly payment $425
-Security deposit $375
Acustion fee $500
A. 375
B. 3375
C. 3800 (✅️)
D. 3400
please answer asap!!!!!!!!
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly one correct answer?
The total number of possible outcomes is the number of rows in the table, which depends on the size of the table.
To determine the experimental probability of correctly guessing exactly one correct answer out of five choices, we can utilize the random number table provided, where 0's represent incorrect answers and 1's represent correct answers.
Since we have five choices for each answer, we will focus on a single row of the random number table, considering five consecutive values.
Let's assume we have randomly selected a row from the table, and the numbers in that row are as follows:
0 1 0 1 0
In this case, the second and fourth answers are correct (represented by 1's), while the remaining three choices are incorrect (represented by 0's).
To calculate the experimental probability of exactly one correct answer, we need to determine the number of favorable outcomes (i.e., rows with exactly one 1) and divide it by the total number of possible outcomes (which is equal to the number of rows in the table).
Looking at the table, we can see that there are several possible rows with exactly one 1, such as:
0 1 0 0 0
0 0 0 1 0
0 0 0 0 1
Let's assume there are 'n' favorable outcomes. In this case, 'n' is equal to 3.
The total number of possible outcomes is the number of rows in the table, which depends on the size of the table. Without the specific size of the table, we cannot provide an accurate value.
To calculate the experimental probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Experimental probability = n / Total number of possible outcomes
For more questions on possible outcomes
https://brainly.com/question/27442447
#SPJ8
Write the quadratic equation in standard form that corresponds to the graph shown below.
The quadratic equation shown in the graph is:
y = x² + 2x - 8
How to write the quadratic equation?Here we want to find the graph of the given quadratic equation, where we only know the zeros of it.
Remember that if a quadratic equation has the zeros:
x = a
x = b
Then we can write it as:
y = (x - a)*(x - b)
Here the zeros are:
x = -4
x = 2
Then we can write:
y = (x + 4)*(x - 2)
Expanding that we will get the standard form:
y = x² + 4x - 2x - 8
y = x² + 2x - 8
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The distance across the stream is 198 m.
We have,
ΔABC and ΔEBD are similar.
This means,
Corresponding sides ratios are the same.
Now,
AC/ED = AB/BE
Substituting the values.
x/360 = 220/400
x = 220/400 x 360
x = 22/40 x 360
x = 22 x 9
x = 198
Thus,
The distance across the stream is 198 m.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
helppp!! someone help me asappp
Answer:
[(5 ± √(29)) ÷ 2]
Step-by-step explanation:
x = [(-b ± √(b² - 4ac)) ÷ 2a]
= [(-(-5) ± √((-5)² - 4(1)(-1))) ÷ 2(1)]
= [(5 ± √(25 + 4)) ÷ 2]
= [(5 ± √(29)) ÷ 2]
Which statement correctly explains the association of the scatter plot? Since the Y values increase as the X values increase the Scatter plot shows a positive association. Sense to Weibo use decrease as the X values increase the scatter plot shows a positive association.
The correct statement regarding the association in the scatter plot is given as follows:
Since the y-values decrease as the x-values increase, the scatter plot shows a negative association.
How to classify the association between variables?There can either be a positive association between variables or a negative association between variables, as follows:
Positive association happens when both variables have the same behavior, that is, as one increases the other increases, and as one decreases the other also decreases.Negative association happens when the variables have opposite behavior, as one variable is increasing the other is decreasing, or as one variable is decreasing, the other is increasing.In this problem, we have a decreasing scatter plot, hence there is a negative association between the variables.
More can be learned about association between variables at brainly.com/question/16355498
#SPJ1
In the figure below, S is the center of the circle. Suppose that JK = 20, LM = 3x + 2, SN = 12, and SP = 12. Find the
following.
The values from figure is,
x = 2
NS = 3.5
We have to given that,
In the figure below, S is the center of the circle.
And, Suppose that JK = 16, MP = 8, LP = 2x + 4, and SP = 3.5.
Now, We know that,
By figure,
MP = LP
Substitute the given values,
8 = 2x + 4
8 - 4 = 2x
4 = 2x
x = 4/2
x = 2
Hence, We get;
LM = MP + LP
LM = 8 + (2x + 4)
LM = 8 + 2 x 2 + 4
LM = 8 + 4 + 4
LM = 16
Since, We have JK = 16
Hence, We get;
NS = SP
This gives,
NS = 3.5
To learn more about circle visit:
https://brainly.com/question/29288238
#SPJ1