Visualizing Kruskal's algorithm involves representing the graph, its edges, and the minimum spanning tree in a visual format.
To visualize a Kruskal algorithm, you need to follow the steps below:
1. Sort all the edges in ascending order of weight.
2. Create a new graph G' with the same vertices as the original graph G, but no edges.
3. Start with the smallest edge and add it to G' if it doesn't create a cycle. Repeat this step until you have added all the edges or you have a minimum spanning tree.
4. If you have a minimum spanning tree, you can visualize it by drawing the graph with the edges included in G'.
Here is an example:
Original graph G:
A---2---B---3---C
| |
4 1
| |
D---5---E
Step 1: Sort the edges in ascending order of weight: 1, 2, 3, 4, 5
Step 2: Create a new graph G' with the same vertices as G, but no edges.
Step 3: Start with the smallest edge (1) and add it to G'. This doesn't create a cycle, so we can add it.
G':
A B---1---C
| |
4 1
| |
D E
Next, add the second smallest edge (2) to G'. This also doesn't create a cycle, so we can add it.
G':
A---2---B---1---C
| |
4 1
| |
D E
Continue this process until you have added all the edges or you have a minimum spanning tree.
Step 4: Visualize the minimum spanning tree by drawing the graph with the edges included in G'.
Minimum spanning tree:
A---2---B---1---C
| |
4 1
| |
D E
I hope this helps! Let me know if you have any further questions.
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the prefix that multiplies a basic si unit by 0.01 is
SI unit is an international system of measurements that are used universally in technical and scientific research to avoid the confusion with the units. Having a standard unit system is important because it helps the entire world to understand the measurements in one set of unit systems.
SI system“The International System of Units is abbreviated as SI.The SI system has seven base units.The SI system allows the use of prefixes to indicate the multiples or submultiples of a unit.SI prefix for [tex]10^-^9[/tex]The SI prefix for [tex]10^-^9[/tex] is nano.The symbol for nano is n.Learn more about SI unit at:
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The given question is incomplete, complete question is:
What is the SI prefix for each of the following multiples and submultiples of a unit?
[tex]10^-^9[/tex]
Dylan is hiking. He can either take a short cut up a steep flight of stairs or he can take the longer, flatter switchback route. If he goes on the switchback, he first travels west 60 meters and then turns and travels north 80 meters. Calculate the length in meters of the short cut up the flight of stairs. Round your answer to the nearest tenth.
We can use the Pythagorean theorem to find the length of the short cut up the flight of stairs. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let's call the length of the short cut "x". Then, we can set up the following equation:
x^2 = 60^2 + 80^2
Expanding the squares:
x^2 = 3600 + 6400
x^2 = 10000
Taking the square root of both sides:
x = sqrt(10000)
x = 100
So, the length of the short cut up the flight of stairs is 100 meters.
In 2020, the population of a small town was 8,000. The population is increasing at a rate of 4.3% per year. Rewrite an exponential growth function to find the monthly and quarterly rates.
Answer:
The exponential growth function for the population can be written as:
P(t) = P0 * e^(rt)
Where:
P0 = initial population = 8,000
r = annual growth rate = 4.3% = 0.043
To find the monthly rate, we need to divide the annual rate by 12 (since there are 12 months in a year):
r_monthly = r/12 = 0.043/12 = 0.00358
So the exponential growth function with monthly growth rate becomes:
P(t) = 8000 * e^(0.00358t)
To find the quarterly rate, we need to divide the annual rate by 4 (since there are 4 quarters in a year):
r_quarterly = r/4 = 0.043/4 = 0.01075
So the exponential growth function with quarterly growth rate becomes:
P(t) = 8000 * e^(0.01075t)
PLEASE HELP ASAP!!
4. Given f(x) = x^2 -3x -4 and g(x) = 2x^2 -5x – 12.
5. Describe how to find:
a. (g-f)(x)
b. (f/g)(x)
6. Would both of these functions have the same
domain and range? Explain why or why not.
Value of composite functions (g-f)(x) and (f/g)(x) are x² - 2x - 8 and
(x+1)/(2x - 3) respectively.both of these functions don't have the same
domain and range.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given functions,
f(x) = x² - 3x - 4
g(x) = 2x² - 5x - 12
1. (g - f)(x)
= g(x) - f(x)
= 2x² - 5x - 12 - (x² - 3x - 4)
= 2x² - 5x - 12 - x² + 3x + 4)
= x² - 2x - 8
x is defined for all real numbers
Domain = (-∞, ∞)
let y = x² - 2x - 8
x = √y + 2(x) - 8
Function is defined for y ≥ 9
Range is {y∈R , y ≥ 9}
2. (f/g)(x)
= f(x)/g(x)
= (x² - 3x - 4)/(2x² - 5x - 12)
= (x² - 4x + x - 4)/(2x² - 8x + 3x - 12)
= (x(x - 4) + 1(x - 4))/(2x(x - 4) + 3 (x - 4))
= (x+1)(x-4)/(2x+3)(x-4)
= (x+1)/(2x - 3)
function is defined for x ≠ 3/2, Domain is {x ∈ R : x ≠ 3/2}
Let y = (x+1)/(2x - 3)
y.2x - 3y = x + 1
-3y - 1 = x - 2xy
x = (-1 - 3y)/(1 - 2y)
function is defined for y ≠ 1/2, Range is {y ∈ R : y ≠ 1/2}
Domain and range are not same for both functions.
Hence, Value of composite functions (g-f)(x) = x² - 2x - 8 and
(f/g)(x) = (x+1)/(2x - 3), Domain and range is not same for both functions.
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How many different possible outcomes are there if you spin 4 spinners labeled triangle square circle hexagon
The number of possible outcomes are 8 if we have 4 spinners labeled Red, Blue, Yellow and green by using permutations.
What are permutations?The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.
There are 4 spinners: Red, Blue, green and yellow.
Here Number of possible outcomes will be calculated by using permutation.
So, we get that:
Number of possible outcomes = 4 × 2
Number of possible outcomes = 8 ways.
Therefore, the number of possible outcomes are 8 if we have 3 spinners.
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Find the interquartile range using the following information.
Lower Extreme: 2
Q1: 4
Median:
Q3: 14
Upper Extreme: 16
Group of answer choices
10
16
4
14
This is 25 pts
The interquartile range is 10 (first option)
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile of a dataset. It is a measure of variation. The third quartile represents 75% of the dataset. While the first quartile represents 25% of the dataset.
Interquartile range = third quartile - first quartile
14 - 4 = 10
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Thoriso can either walk to school at 5km/h or ride her bicycle at 15km/h . If she rides her bicycle.it take her 10 minutes to get to school.
How long will it take her if her walk to school?
It will take Thoriso 30 minutes to walk to school.
what is speed ?
Speed is a measure of how quickly an object is moving. It is defined as the distance traveled by an object in a given amount of time. The formula for speed is:
Speed = distance / time
The unit of speed depends on the units of distance and time used. Common units of speed include meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph).
Given by the question:
We can use the formula:
time = distance / speed
to calculate the time it will take Thoriso to walk to school.
Let d be the distance from Thoriso's home to school. Since the distance is the same whether she walks or rides her bicycle, we have:
distance walked = distance biked = d
Let's first calculate how long it takes Thoriso to bike to school:
time biked = distance biked / biking speed
time biked = d / 15 km/h
We are given that it takes her 10 minutes (0.167 hours) to bike to school, so we can set up the following equation:
0.167 hours = d / 15 km/h
Solving for d, we get:
d = 2.5 km
Now, we can calculate how long it will take Thoriso to walk to school:
time walked = distance walked / walking speed
time walked = d / 5 km/h
time walked = 2.5 km / 5 km/h
time walked = 0.5 hours or 30 minutes
Therefore, it will take Thoriso 30 minutes to walk to school.
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If (a,-8) is a solution to the equation-a=4b-7, what is a
thus, a = -39 is the solution to the equation -a = 4b-7 when (a, -8) is a solution
What's equation?An equation is a fine statement that asserts the equivalency of two expressions. It generally consists of two sides, with an equal sign between them. Equations are used to describe connections between variables, and to break problems in colorful fields, including mathematics, wisdom, engineering, and economics.
Given by the question.
the equation given is -a = 4b - 7.
We are also told that (a, -8) is a solution to this equation. This means that if we substitute a for x and -8 for y, the equation will be true.
Substituting the given values, we get:
a = 4b - 7 (Given equation)
a = 4(-8) - 7 (Substituting b = -8, since (a, -8) is a solution)
a = -32 - 7 (Simplifying)
a = -39 (Final answer)
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Nick is a plumber who charges $65 for a service call and $55 per hour of work fixing a plumbing problem.
Which expression models this
situation?
A) 65h + 55
B) 55h + 65
C) 65 + 55
D) 120h
PLEASE BE ACCURATE!!! THANK YOU!!! :)
Answer: PLEASE GIVE BRAINLIEST
B) 55h + 65
Step-by-step explanation:
The correct expression is B) 55h + 65, which models the situation as $55 per hour of work (h) plus a $65 service call fee.
At a bus station, buses begin their route at 6:00 am. The schedule for two of the buses is based on the time intervals listed below
-Bus A has a long route and leaves the station every 75 minutes
-Bus B has a long route and leaves the station every 15 minutes
What is the next time Bus A and Bus B will leave the bus station at the same time?
(Choices)
A 7:00AM
B 7.15AM
C 7:30AM
D 8:30AM
Answer:
B
Step-by-step explanation:
Bus A and B leave at 6:00 am (First bus of the day).
The schedule for Bus A and B are as follows:
Bus A: 6:00 am --> 7:15 am --> 8:30 am
Bus B: 6:00 am --> 6:15 am --> 6:30 am --> 6:45 am --> 7:00 am --> 7:15 am
As you can see, bus A and B leave the station together again at 7:15 am.
Hence, the answer is B.
Choose two equations that make up the system represented by the graph.
a. y= 5/4x
b. y=6-2.5x
c.y=2.5x + 6
d. y=6 - 3x
e. y=0.8x
Solve the system of equations and confirm the accuracy of your estimate
The system of equations are y = ( 5/4 )x and y = 6 - 3x where the value of x and y are 1.4117 and 1.765 respectively
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first equation be P
y = ( 5/4 )x be equation (1)
Let the second equation be Q
y = 6 - 3x be equation (2)
Substituting the values in the equation , we get
( 5/4 )x = 6 - 3x
Adding 3x on both sides of the equation , we get
6 = ( 5/4 + 3 ) x
( 17/4 )x = 6
Multiply by 4 on both sides of the equation , we get
17x = 24
Divide by 17 on both sides of the equation , we get
x = 24/17 = 1.4117
Substitute the value of x in equation (1) , we get
y = ( 5/4 ) ( 24/17 )
y = ( 30/17 )
y = 1.765
Hence , the equations are solved and the value of x and y are 24/17 and 30/17 respectively
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Find the value of x PLEASE HELP
Answer:
43°
Step-by-step explanation:
Because it is a parallelogram, there is 2 pairs of parallel lines, therefore, opposite angles are equal.
Two parallel lines are cut by a transversal as shown below.
Suppose m1=38°. Find m6 and m7.
Please help I don’t know how to do this
(See attached image)
Answer:
m∠6 = 142°
m∠7 = 38°
Step-by-step explanation:
You will be using postulates and theorems to solve this question.
Two parallel lines are cut by a transversal (Given)
- m∠1 = 38° (Given)
- m∠1 ≅ m∠3 (Vertical Angles Theorem)
∴ m∠3 = 38° (Definition of Vertical Angles Theorem)
- m∠3 ≅ m∠5 (Alternate Angles Theorem)
m∠3 = 38° ∴ m∠5 = 38° (Definition of Alternate Angles Theorem)
- m∠5 ≅ m∠7 (Vertical Angles Theorem)
m∠5 = 38° ∴ m∠7 = 38° (Definition of Alternate Angles Theorem)
m∠7 + m∠6 = 180° (Corresponding Angles Postulate)
m∠7 = 38° (Given above)
Plug in 38 for m∠7 and solve for m∠6:
(38) + m∠6 = 180
Isolate m∠6. Note the equal sign, what you do to one side, you do to the other. Subtract 38 from both sides of the equation:
m∠6 + 38 = 180
m∠6 + 38 (-38) = 180 (-38)
m∠6 = 180 - 38
m∠6 = 142°
-
Answers:
m∠6 = 142°
m∠7 = 38°
~
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Find the measure of the arc. C D 146 B F E A DE=?
In the given diagram, the measure of arc DE, mDE, is 90°
Calculating the measure of an arcFrom the question, we are to find the measure of the given arc.
The angle measure of an arc is the angle subtended by the arc at the center of the circle.
From the given diagram, we are to determine the measure of arc DE.
In the given diagram, we can observe that the angle subtended by arc DE is a right angle. That is, the measure of arc DE is a right angle.
The measure of a right angle is 90°.
Hence, the measure of arc DE is 90°
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1. Betty Arca.
Installment loan of $800.00.
Finance charge of $40.72.
Requires 36 monthly payments.
What is the APR?
Using an online finance calculator, the annual percentage rate (APR) of an $800 installment loan with a finance charge of $40.72 for 36 monthly payments is 1.656%.
What is the annual percentage rate?The annual percentage rate (APR) is the cost of borrowing, including the interest and other fees, expressed as a percentage of the debt.
The APR is always computed as an annual rate to show the cost of borrowing or finance charge over a year.
N (# of periods) = 36 months
PV (Present Value) = $800
PMT (Periodic Payment) = $0
FV (Future Value) = $-840.72
I/Y = 1.656% if interest compounds 12 times per year (APR)
I/Y = 1.669% if interest compounds once per year (APY)
I/period = 0.138% interest per period
Total Interest = $40.72
Thus, for Betty Arca's installment loan of $800, the APR is 1.656%.
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Write down the total surface area of cylinder having lateral surface area M sq. units and area of base A sq. units.
The total surface area of the given cylinder is; MA sq. units
What is the total surface area of the cylinder?The curved surface of a cylinder is also known as its lateral surface. The area of this lateral surface is referred to as the lateral surface area of the cylinder.
Meanwhile, the formula for the total surface area of the cylinder is;
Total surface area = Lateral surface area + base area
We are given;
lateral surface area = M sq. units
Area of base = A sq. units.
Thus;
Total surface area = M * A
Total surface area = MA sq. units
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Spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his
life. How much weight did Spot the Dog gain during this time?
The weight gained by the spot dog during his time is 57/2 ounces.
What are mathematical operations?An operation is a function in mathematics that converts zero or more input values, also known as "operands" or "arguments," into a clearly defined output value. The operation's complexity is determined by its operand count.
The most frequently studied operations are unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication. The nullary operation, also known as an operation of arity zero, is a constant. A ternary operation, also known as an operation of arity 3, is an example of the mixed product.
Given that, spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his life.
Convert the mixed fraction into improper fraction:
4 3/4 = 19/4 ounces
The weight gained for 6 weeks is:
19/4 (6) = 114/4 = 57/2
Hence, the weight gained by the spot dog during his time is 57/2 ounces.
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HELPPPP ASAP 25 POINTS AN DID WILL MARK YOU AS BRAINLIEST!!!!Jack, Art, Fran, and Megan work as volunteers at the local kennel, Jack gives the dogs baths eve 4 days; Art cleans out cages every 6 days; Fran feeds the animals in Section Bevery 2 days, and Megan helps the receptionist every 3 days. How many times in 12 weeks will all 4 helpers be at the clinic on the same day? Show all work and explain how you got your answer.
Answer:
Below
Step-by-step explanation:
I will assume they are all there on day 1
then the LCM of 4 6 2 and 3 is 12 days
every 12 days they are there together
12 weeks = 12 x 7 = 84 days
84 / 12 = 7 times
day 1 13 25 37 49 62 74
5) Max makes $245 each week from his part-time job. He works from 6am
until 9am Monday through Friday. Each morning, on his way into work
work, he spends $4 on coffee. What fraction of Max's weekly income is
spent on coffee?
Answer:
4/49
Step-by-step explanation:
1 week : 5 working days
5*$4= $20
20/245= 4/49
The dimensions of a parallelogram are given in centimeters.
5.5, 4.5, 6cm.
What is the area of the parallelogram in square centimeters?
The area of the parallelogram is 27 square centimeters.
What is area?A region's size on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area might be thought of as how much material of a certain thickness would be required to create a model of the shape, or as how much paint would be required to completely cover the surface in a single application.
The area of the parallelogram is given as:
A = (b)(h)
Here, the base is 4.5cm and the height is 6 cm.
Thus,
A = (4.5)(6)
A = 27 square centimeters.
Hence, the area of the parallelogram is 27 square centimeters.
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In the synthetic-division problem shown below, what number belongs in the
place of the question mark?
2 1 -2 -8 5
2
?
10☐☐.
The solution is, the remainder is 9.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
find the remainder in the synthetic division
1 4 6 -1
Take down the first number 4 as it is. then multiply it with divisor 1 and put it below 6. then add it and do the same till we get remainder
1 4 6 -1
0 4 10
--------------------------------
4 10 9 -> Remainder
So the remainder is 9.
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Ahmed buys 4 cups of Karak Chai and 3 scones for 12 AED. Yusuf buys 2 cups of Karak Chai and 5 scones for 13 AED.
Find the price of a cup of tea and the price of a scone.
Answer:
Step-by-step explanation:
this is so confusing
Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cubes. How many cubes have just one red face?
The number of cubes that has 1 face in red will be 54 which is placed at the center of all faces.
What are Samples?Samples are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.
There are 6 faces of the cube. The number of cubes that has 3 faces in red will be 8 which is placed at the corner.The number of cubes that has 2 faces in red will be 36 which is placed on the edge.The number of cubes that has 1 face in red will be 54 which is placed at the center of all faces.More about the sample link is given below.
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Factor out the gcf
10x^3+10x^2
The factorization of the given polynomial is 10x²(x+1).
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The given polynomial is 10x³+10x².
Here, factors of the terms 10x³ and 10x² are
10x³= 2×5×x×x×x
10x²= 2×5×x×x
GCF of the terms is 2×5×x×x=10x²
10x²(x+1)
Therefore, the factorization is 10x²(x+1).
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You want to rent a van for Spring Break. The
van costs $75 for the week and $0.55 per
mile. You have a maximum of $125 to
spend. You need to determine how many
miles you can travel in this van within your
budget
So, if you only have $125 to spend, you may go around 90.91 miles in the van.
What is equation?An equation in mathematics is a statement that two mathematical expressions are equal. Equations are used to represent mathematical relationships and to describe the behavior of systems or processes. An equation typically consists of two sides, separated by an equal sign (=). On one side of the equal sign is the expression representing what is known or given, and on the other side is the expression representing what is being found or sought. Equations can be used to model real-world situations, to describe the behavior of mathematical functions, to solve problems, and to make predictions. They are an important tool in many areas of mathematics and science, including algebra, calculus, physics, and engineering.
Here,
Let's call the number of miles you want to travel "m". The total cost of the rental is given by the expression 75 + 0.55m. We know that this total cost must be less than or equal to $125, so we can write the inequality:
75 + 0.55m ≤ 125
We can isolate the variable m by subtracting 75 from both sides of the inequality:
0.55m ≤ 125 - 75
0.55m ≤ 50
Finally, we can solve for m by dividing both sides of the inequality by 0.55:
m ≤ 50 / 0.55
m ≤ 90.91
So, if you have a maximum of $125 to spend, you can travel a maximum of approximately 90.91 miles in the van.
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Please find Total surface area
Answer:
688cm^2
Step-by-step explanation:
5*16= 80
16*12= 192
6*12= 72
80+80+192+192+72+72= 688cm^2
The temperature in Toronto, Canada was 12° F at noon. For the remainder of the day, the temperature dropped 5° every hour. What equation could be used to represent the relationship between x, the number of hours past noon, and y, the temperature outside?
WHAT IS THE GRAPH?
The relationship between the number of hours past noon and the temperature outside is y = -5x + 12
How to determine the equationFrom the question, we have the following parameters that can be used in our computation:
Initial = 12 degrees
Rate = -5 degrees
To represent the relationship between the number of hours past noon and the temperature outside, we can use the equation:
y = Rate * x + Initial
So, we have
y = -5x + 12
where y represents the temperature in degrees Fahrenheit and x represents the number of hours past noon.
The graph of the equation is a linear equation
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¿Qué es un decimal entre decimales?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system.
It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
What is a Decimal between decimals?A decimal between decimals is a decimal number that lies between two other decimal numbers.
For example, if you have two decimal numbers 0.2 and 0.3, a decimal between them would be any number that is greater than 0.2 and less than 0.3.
Some examples of decimals between 0.2 and 0.3 include 0.25, 0.26, 0.27, and so on.
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The question when translated in English is, "What is a decimal between decimals?"
Determine whether the underlined value is a parameter or a statistic.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Is the value a parameter or a statistic?
The given numerical value is a Statistic.
Parameters are numeric values that characterize the population as a whole. A statistic is a number that describes the characteristics of a sample.
For example, median income in the United States is a demographic parameter. Conversely, the median income for the US sample is a sample statistic. Both values represent median income, but one is a parameter to the statistic. Easy to remember parameters and stats! Both are summary values that describe the group, and have a convenient mnemonic device to remind you which group is being described. Notice their initials.
Parameter = Population
Statistics = Sample
A population is the entire group of people, things, animals, trades, etc. that are being studied. A sample is part of a population.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Given that, 18% of the 50areas of a country were females.
Now,
18*50/100 = 9
Since it is a perfect number
The given numerical value is a statistic.
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please help me on this
Answer:
[tex]\dfrac{9}{12} - \dfrac{11}{18} = \dfrac{5}{36}[/tex]
Step-by-step explanation:
We can solve this subtraction of fractions by converting both fractions to forms where they have a common denominator.
To do this, we first have to find the least common multiple (LCM) of their denominators.
1. Write out the denominators' prime factorizations.
12 18
2, 2, 3 2, 3, 3
2. Multiply the greatest multiple of each prime number.
2² × 3² = 4 × 9 = 36
So, the LCM of the denominators is 36.
Next, we need to get both fractions' denominators to 36 by multiplying each one by {36 divided by them} over {36 divided by them}.
Remember, this is just multiplying by 1.
[tex]\left(\dfrac{9}{12} \times \dfrac{36/12}{36/12}\right) - \left(\dfrac{11}{18} \times \dfrac{36/18}{36/18}\right)[/tex]
↓ simplifying the fractions being multiplied
[tex]\left(\dfrac{9}{12} \times \dfrac{3}{3}\right) - \left(\dfrac{11}{18} \times \dfrac{2}{2}\right)[/tex]
↓ executing the multiplication
[tex]\dfrac{27}{36} - \dfrac{22}{36}[/tex]
Finally, we can subtract the fractions' numerators.
[tex]\dfrac{27}{36} - \dfrac{22}{36} = \boxed{\dfrac{5}{36}}[/tex]