The information from the given set have the following solutions for:
a) X ∪ Y = {1, 3, 5, 6, 7, 9}
b) X ∩ Z = {1, 9}
c) X' = {2, 4, 6, 8}
What is set?In mathematics, a set is a collection of distinct objects, called elements or members, that share a common property or are grouped together for some reason. A set can be finite or infinite.
For the universal set S = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Z = {1, 2, 4, 6, 8, 9}
X = {1, 3, 5, 7, 9}
Y = {1, 5, 6, 7}
we shall evaluate for the following:
X ∪ Y = {1, 3, 5, 6, 7, 9} {all the elements in X and Y}
X ∩ Z = {1, 9} {the elements common to X and Z}
X' = {2, 4, 6, 8} {all the elements in the universal set not in X}
Therefore, the information from the given set have the following solutions for:
a) X ∪ Y = {1, 3, 5, 6, 7, 9}
b) X ∩ Z = {1, 9}
c) X' = {2, 4, 6, 8}
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Keisha must choose a shirt and a pair of pants for today's outfit. She has 4 shirts and 2 pairs of pants to choose from. How many different outfits can she make?
answer: 12
explanation:
13 25 4 8 17 21 A number is to be written on the blank card. The mode and median of all seven numbers are both the same. Find one possible number that can be written on the blank card.
Answer:
13 or 17
-------------------
Given numbers:
13, 25, 4, 8, 17, 21Put them in the ascending order:
4, 8, 13, 17, 21, 25Let the possible number to be added be x.
Since x is the median, it should be between 13 and 17:
4, 8, 13, x, 17, 21, 25Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.
Let f(x)=p(x)/q(x) where p(x) and p(x) are polynomials with no common factors other than 1. Describe how to find the x-intercepts and the vertical asymptotes of the function
To find the x-intercepts of a rational function of the form f(x) = p(x)/q(x), we set p(x) = 0 and solve for x. To find the vertical asymptotes, we set q(x) = 0 and solve for x.
Vertical asymptotes are vertical lines that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.
To find the x-intercepts of the function, we need to set the numerator of the rational function equal to zero and solve for x. This is because x-intercepts occur when the function value is equal to zero. Therefore, we can write:
p(x) = 0
Solving this equation will give us the values of x where the function intersects the x-axis. It is important to note that if p(x) has a degree greater than or equal to q(x), then the function will have a slant asymptote instead of a vertical asymptote.
To find the vertical asymptotes of the function, we need to look at the denominator of the rational function. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In the case of a rational function, this happens when the denominator is equal to zero. Therefore, we can write:
q(x) = 0
Solving this equation will give us the values of x where the function has a vertical asymptote. It is important to note that if the degree of q(x) is greater than the degree of p(x), then the function will have a horizontal asymptote instead of a vertical asymptote.
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3cos²∅ (1+tan²∅) = 3
Answer:
Reflection Paper on "Freedom Riders"
Ankit Mishra
title movie
freedom riders
instructions create a reflection paper that summarize the documentary and how brougth about social changes and lead to the Civil rigths act of 1964
please help me
2,3 pages
Please read the instructions please I need your help watch the movie and the instructions
Reflection Paper on "Freedom Riders" Documentary
The "Freedom Riders" is a powerful documentary that recounts the story of a group of civil rights activists who rode buses across the American South in 1961 to challenge the segregated public transportation system. The film provides a vivid and moving account of their journey and the challenges they faced along the way, from beatings and arrests to bombings and arson attacks. Through interviews with surviving freedom riders and archival footage, the film sheds light on the bravery and determination of these activists and the impact they had on the civil rights movement.
The freedom riders were inspired by the nonviolent protest movement led by Dr. Martin Luther King Jr. and other civil rights leaders. They believed that segregation was a moral wrong and that they had a duty to resist it through nonviolent means. Despite the danger they faced, the freedom riders refused to back down, putting their lives on the line for the cause of justice and equality.
The bravery of the freedom riders had a profound impact on the civil rights movement. Their actions galvanized support for the cause and drew national attention to the issue of segregation. The freedom rides sparked a wave of protests and civil disobedience across the South, and helped to build momentum for the passage of the Civil Rights Act of 1964. This landmark legislation banned segregation in public places and made it illegal to discriminate against someone on the basis of race, color, religion, sex, or national origin.
The "Freedom Riders" documentary serves as a powerful reminder of the sacrifices made by those who fought for civil rights in the United States. It highlights the courage and determination of the freedom riders and the impact they had on the country. It is an important film that teaches us about the past and the struggles of those who fought for justice and equality.
In conclusion, the "Freedom Riders" documentary is a powerful reminder of the sacrifices made by those who fought for civil rights in the United States. It highlights the bravery and determination of the freedom riders and the impact they had on the civil rights movement. The film serves as a testament to the power of nonviolent protest and the importance of standing up for what is right, even in the face of opposition. The lessons of the freedom riders should inspire us all to continue working towards a more just and equal society.
Ankit Mishra
3cos²∅ (1+tan²∅) = 3
This equation involves trigonometric functions and can be simplified using trigonometric identities.
Starting with the right-hand side of the equation, we have 3. On the left-hand side, we have the expression 3cos^2(θ)(1 + tan^2(θ)).
We can simplify the expression as follows:
cos^2(θ) = 1 - sin^2(θ)
and
tan^2(θ) = sin^2(θ) / cos^2(θ)
Substituting these identities into the expression on the left-hand side, we get:
3(1 - sin^2(θ))(1 + sin^2(θ) / (1 - sin^2(θ))
Expanding the product and simplifying, we get:
3
Thus, the equation is true and holds true for all values of θ.
at a football match , there are 29800 people correct to the nearest 100.
at the end of the football match, the people leave at a rate of 400 people per minute , correct to the nearest 50 people
calculate the lower bound for the number of minutes it takes for all the people to leave
The lower bound for the number of minutes it takes for all the people to leave is 67 minutes.
What is lower bound?
Lower bound refers to the smallest possible value in a range or interval of values. In the context of measurements or estimates, it represents the minimum value that a quantity or measurement is expected to be, based on the precision or accuracy of the measuring instrument or method.
To calculate the lower bound for the number of minutes it takes for all the people to leave, we need to use the following formula:
Lower bound = (total number of people - 0.5) / departure rate (in people per minute)
Using the given information, we have:
Total number of people = 29800 (correct to the nearest 100)
Departure rate = 400 (correct to the nearest 50)
To ensure we have a conservative estimate, we will round down the total number of people to 29750 and round up the departure rate to 450.
Therefore, the lower bound for the number of minutes it takes for all the people to leave is:
Lower bound = (29750 - 0.5) / 450
= 66.1 (rounded up to the nearest minute)
So the lower bound for the number of minutes it takes for all the people to leave is 67 minutes.
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The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Which angle is an alternate interior angle to ∠3?
∠5 is the alternate interior angle of ∠3.
What is transversal?
A transversal is a line that, at two different points in the geometry, cuts through two lines in the same plane. Various types of angles in pairs, including consecutive interior angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.
When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairs of that transversal. Alternate interior angles are what they are called.
Line m and line n are parallel and line l is transversal.
The alternate pairs of that transversal are ∠3 and ∠5.
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many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. a particular station says that the probability that an incoming call is for medical assistance is 0.67. this can be expressed as
The probability that an incoming call is for firefighting equipment (or any other reason besides medical assistance) is 0.33 or 33%.
The statement "the probability that an incoming call is for medical assistance is 0.67" can be expressed as:
P(Medical Assistance) = 0.67
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.67 or 67%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P(Not Medical Assistance) = 1 - P(Medical Assistance) = 1 - 0.67 = 0.33
In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability
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2/3 thrids subtract 1/4
Answer: 5/12
Step-by-step explanation:
2/3 - 1/4 = 5/12
Answer:
1.75
Step-by-step explanation:
Find the value of x
Answer:
x = 20
Step-by-step explanation:
since the 3 sides of the triangle are congruent then it is equilateral with 3 congruent angles, each of 60° , then
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
20
Step-by-step explanation:
We know that sum of corner of a triangle is 180° and if the triangle is equilateral, the corners are same
180:3=3x
60=3x
x=20
Use a trigonometric ratio to solve for z. Round to two decimal places as necessary.
The value of z in the triangle using trigonometric ratio is; z = 10.90
How to use trigonometric ratios?The three basic trigonometric ratios from which others are derived are;
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
From the diagram, we can easily see that z is the opposite side of the given angle and 13 is the hypotenuse. Thus;
z/13 = sin 57
z = 13 * sin 57
z = 13 * 0.83867
z = 10.90
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1. Which equation has a quotient of 1 1/5?
A 5÷6=
B 6÷5=
C 4÷5=
D 5÷4=
Answer:
none of them do
Step-by-step explanation:
5/6=0.83
6/5=1.2
4/5=0.8
5/4=1.25
11/5=2.2
Brianna’s parents built a swimming pool in the backyard. Brianna days that the distance around the pool is 120 feet. Is she correct? Explain why or why not. 40ft 20ft
Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is 120 feet, which can be calculated by adding up the lengths of all four sides: (40 + 20 + 40 + 20) feet = 120 feet.
Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is indeed 120 feet. To calculate the distance around the pool, we need to add up the lengths of all four sides, which are equal in length. In this case, the length and width of the pool are both 40 feet and 20 feet, respectively. So, to find the distance around the pool, we add up these four lengths:
40 feet + 20 feet + 40 feet + 20 feet = 120 feet
Therefore, the total distance around the pool is 120 feet.
To determine the distance around the pool, Brianna needs to measure the length and width of the pool. If the pool is rectangular, she can measure the length and width and add up the lengths of all four sides to find the total distance around the pool. If the pool is a different shape, Brianna would need to measure the lengths of each side and add them up to find the total distance around the pool. This information can then be used to calculate the amount of stone needed for the edging around the pool. By knowing the total distance around the pool, Brianna's parents would have a good estimate of how much stone they need to buy for the edging, which is typically sold by the linear foot.
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The complete question is:
In the backyard, Brianna's parents constructed a swimming pool. The pool's circumference, according to Brianna, is 120 feet.
40 Ft
20 Ft
1. Is she correct? Explain why or why not. (You must mention the following in your explanation: If she is right, demonstrate the steps she took to determine the pool's circumference. Determine the right distance and demonstrate all effort if she is mistaken.)
2. So that her parents will know how many feet of stone to purchase for the pool's edging, describe (using words this time) how Brianna would calculate the distance around the pool.
Subtract 7x²-x-1 from x²+3x+3
Answer: The answer is x²+2x-8
Step-by-step explanation:
The height, h, of a projectile thrown straight up from the top of a 448-foot hill t seconds after being thrown upward with initial velocity vo ft/sec is given by
h=-16t² + vot+448. In this exercise, for a given value of vo. find the time(s) when the projectile will (a) be at a height of 576 ft above the ground and (b) crash
on the ground. Round your answers to two decimal places. Here vo= 112.
a. The projectile will be at a height of 576 ft above the ground after 1.43 seconds and after 5.56 seconds.
b. The projectile will crash on the ground after 9.84 seconds.
The solution has been obtained by solving the equation.
What is an equation?
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.
We are given an equation as h = -16t² + v₀t + 448
Also v₀ is given as 112.
a. In order to find the time (t) the projectile will be at a height of 576 ft above the ground, we need to substitute h = 576 and v₀ = 112.
On substitution, we get
⇒h = -16t² + v₀t + 448
⇒576 = -16t² + 112t + 448
⇒36 = -t² + 7t + 28 (On dividing both sides by 16)
⇒0 = -t² + 7t - 8
⇒t² - 7t + 8 = 0
On solving the equation using the quadratic equation formula, we get
t = (7 ± √49 - 32)/2
t = 1.43 or 5.56
So, it will be at height 576 ft after 1.43 seconds and after 5.56 seconds.
b. Similarly, now we will put h = 0 and v₀ = 112.
Now, we get
⇒0 = -16t² + 112t + 448
⇒t² - 7t - 28 = 0 (On dividing both sides by 16)
On solving the equation using the quadratic equation formula, we get
t = (7 ± √49 + 112)/2
t = 9.84 or -2.84
Since, time cannot be negative, so it will crash after 9.84 seconds.
Hence, the projectile will be at 576 ft after 1.43 seconds and after 5.56 seconds and will crash on the ground after 9.84 seconds.
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A business owner wants to have the front window of her store painted and is considering two artists for the job. Suzie has quoted a flat rate of $250 for the job. Jane's quote is $40 per hour, plus $50 to cover the cost of materials. Depending on how long it takes Jane to paint the window, these two could end up charging the same amount. How long would Jane have to take? Write a system of equations, graph them, and type the solution.
Jane would take 5 hours painting the window so both of them could end up charging the same amount
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Let y represent the total charge for working x hours.
Suzie has quoted a flat rate of $250 for the job. For Suzie:
y = 250
Jane's quote is $40 per hour, plus $50 to cover the cost of materials. For Jane:
y = 40x + 50
For the two to charge the same amount:
250 = 40x + 50
40x = 200
x = 5 hours
Jane would spend 5 hours painting the window.
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Which equation represents the relationship shown in the table?
Answer:
Diatance biked = rate • time
Two sides of a triangle are
shown. Find the range of
values of the third side.
8, 5
< X <
The range of values for the third side must be 5 < C < 13 this means that the third side must be a value greater than 5 and less than 13.
What is triangle?
A triangle is a two-dimensional geometric shape with three sides and three angles. It is a basic polygon and one of the simplest shapes in geometry. Triangles come in different types based on the length of their sides or the measure of their angles, such as equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), scalene triangles (no sides are equal), right triangles (one angle measures 90 degrees), and obtuse triangles (one angle measures greater than 90 degrees).
The third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, for a triangle with sides A, B, and C, we have:
A + B > C
B + C > A
A + C > B
For the given sides of 8 and 5, the range of values for the third side can be found by considering the two inequalities:
5 + C > 8
8 + C > 5
Adding the two inequalities, we get:
13 > C
So the range of values for the third side must be:
5 < C < 13
This means that the third side must be a value greater than 5 and less than 13.
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Hexagonal prism B is the image of hexagonal prism A after dilation by a scale factor of 2. If the surface area of hexagonal prism B is 172 cm^2, find the surface area of hexagonal prism A, the preimage.
Hexagonal prism A has a surface area of 43 cm2.
What is the surface area equation?A three-dimensional shape's surface area is the total area on its surface. A cuboid's surface area is calculated by adding the areas of each of its six rectangular sides. The cuboid's length, width, and height may all be identified, and the formula SA=2lw+2lh+2hw can be used to determine its surface area (SA).
The surface area of a hexagonal prism is given by the formula:
SA = 2B + PH
where B is the base's surface area, P is its perimeter, and H is the prism's height.
Since prism B is a dilation of prism A with a scale factor of 2, its surface area is four times the surface area of prism A. So we can write:
SA_B = 4×SA_A
where SA_B is the surface area of prism B and SA_A is the surface area of prism A
We are given that SA_B = 172 cm², so we can substitute this value into the equation above to find SA_A:
172 = 4×SA_A
SA_A = 43 cm²
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Neeeeeed hellppppppppll
Answer:yes
Step-by-step explanation:correct becuase
Answer:
Answer is ADB
Step-by-step explanation:
I believe that's the answer
1. Students in Mrs. Henderson's third grade class are working on times tables, and they demonstrate mastery by
passing tests. Sofia has passed 4 tests so far. Her classmate, Jacob, has passed 8 of them. From now on, Sofia plans
to take and pass 3 tests per week. Meanwhile, Jacob plans to do 1 per week. At some point, Sofia will catch up to
Jacob. How long will it take?
The number of weeks when Sofia will catch up to Jacob will be 2 weeks.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
Let 'x' be the number of weeks and 'y' be the total test. Then the equations are given as,
y = 4 + 3x ...1
y = 8 + x ...2
From equations 1 and 2, then we have
4 + 3x = 8 + x
3x - x = 8 - 4
2x = 4
x = 2
The number of weeks when Sofia will catch up to Jacob will be 2 weeks.
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I really need help with this
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
To check if a curve represents a function, draw vertical lines all over the graph intersecting the curve at different regions.
Now, check how many times a line cuts the curve, if all the vertical lines cuts the curve at a single point then it represents a function, and if the vertical line cuts the curve at more than one point, then its not a function.
By keeping the above instructions in mind, conclusion can be made that :
Functions : (i), (ii), (iii), (iv) and (vi)
Non function : (v) and (vii)
There are 2.75 ounces of cream cheese in one slice of cheesecake. How
many ounces are there in a cake with 8 slices?
A. 22 ounces
B. 21.6 ounces
C. 16 ounces
D. 10.75 ounces
Answer:
Step-by-step explanation:
2.75 x 8 = 22
Sophie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $127 for parts. The total was $227. Write and solve an equation which can be used to determine
x, the cost of the labor per hour.
Answer:
Step-by-step explanation:
(227-127)/4=x
"/" means divide.
How many solutions does the following system of equations have?
a. 1
b. Infinitely many
c. 0
d. Not enough information
The correct option is B, the system of equations has infinitely many solutions.
How many solutions does the system of equations has?When we graph a system of equations, the points where the graphs of the equations intercept are the solutions.
In this case we can see a single line graphed, which only can happen when both equations of the system represent the exact same line.
Then the graphs intercept at infinite points, thus, the system of equatios has infininitely many solutions.
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If 1 pound of chocolate cream at Philadelphia candies cost $7. 52. How much does that candy cost by the ounce
The cost of one ounce of chocolate cream at Philadelphia according to the cost in pound will be $0.47.
We are aware of the fact that 1 pound is equal to 16 ounces. So, the cost of one pound will be the cost of 16 ounces. Representing this information in ounces and expression -
Cost of 1 pound = 7.52
Rewriting the equation according to ounce
Cost of 16 ounces = 7.52
So, cost of 1 ounce = 7.52/16
Performing division on Right Hand Side of the equation
The cost of one ounce = 0.47
Therefore, the cost of one ounce will be $0.47.
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does a parallelogram have 2 pairs of parallel sides
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel sides
What is the average rate of change of the function -4≤x≤0
Answer:
The average rate of change of a function over an interval is a measure of how the function's value changes over that interval, given by the ratio of the change in the function's value to the change in the independent variable. To find the average rate of change of a function over an interval, we need to know the function's values at two points in the interval.
In the case of the function f(x) = x^2, the interval is -4 ≤ x ≤ 0. To find the average rate of change, we need to find the difference in the function's value between two points in this interval, and divide that by the difference in the x-values.
For example, if we compare the values of the function at x = -4 and x = 0, we have:
f(-4) = (-4)^2 = 16
f(0) = 0^2 = 0
The difference in the function's value is f(0) - f(-4) = 0 - 16 = -16.
The difference in the x-values is x2 - x1 = 0 - (-4) = 4.
So the average rate of change over this interval is the difference in the function's value divided by the difference in the x-values, or -16 / 4 = -4.
In other words, the average rate of change of the function f(x) = x^2 over the interval -4 ≤ x ≤ 0 is -4, meaning that for every 4 units of change in x, the function value decreases by 16 units.
Step-by-step explanation:
Someone please explain how to solve this.
Just multiply each side by side
Step-by-step explanation:1.Times one side by another
2. Times your answer by the third side
On the following scale drawing, the scale is 2 centimeters-1 meter.
1. Make a new scale drawing of this rectangular figure using the scale 3 centimeters-1 meter. Make sure to label the
new dimensions.
2. What are the actual dimensions of the figure?
7.8 cm
4.2 cm
The actual dimensions of the figure is 3.9 x 2.1
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.
For example, Two spheres look similar but could have different radii.
For the first dimension of 7.8 cm, we can set up a proportion using the scale factor:
2 cm : 1 m = 7.8 cm : x
where x is the actual length we want to find.
Solving for x, we get:
x = (7.8 cm x 1 m) / 2 cm
x = 3.9 m
Therefore, the first actual dimension is 3.9 meters.
For the second dimension of 4.2 cm, we can use the same method:
2 cm : 1 m = 4.2 cm : y
where y is the actual width we want to find. Solving for y, we get:
y = (4.2 cm x 1 m) / 2 cm
y = 2.1 m
Therefore, the second actual dimension is 2.1 meters.
So the actual dimensions of the figure are 3.9 meters by 2.1 meters.
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Write a general formula to describe the following variation: F is directly proportional to the square of d, and F = 40 when d = 5.
Answers:
40 = 5k
F = 8d
F = 1.6*d^2
F = kd
A general formula to describe is F = 1.6×d² will be correct answer.
What in math is a proportional?A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.
Finding the general formula we obtain:
F=kd²
40=k×5²
k=1.6
so, F =1.6×d².
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