Not true about scanner data is a. scanner data is considered primary data .
Scanner panel data are just data that are recorded through checkout scanners that track purchases of the panel participants. So the panel is made up of different consumers who agree to have their purchase behavior tracked.
The scanner converts the light energy into electrical energy, which is then converted into data by the decoder and forwarded to a computer
scanner panel data allows us to make comparisons between different consumers
So, scanner panel data is a rich source of information that can be very helpful in guiding us and in designing and implementing our marketing strategy.
Not true about scanner data is a. scanner data is considered primary data
To know more about scanner data visit brainly.com/question/11321139
#SPJ4
Not true about scanner data is a. scanner data is considered primary data .
Scanner panel data are just data that are recorded through checkout scanners that track purchases of the panel participants. So the panel is made up of different consumers who agree to have their purchase behavior tracked.
The scanner converts the light energy into electrical energy, which is then converted into data by the decoder and forwarded to a computer
scanner panel data allows us to make comparisons between different consumers
So, scanner panel data is a rich source of information that can be very helpful in guiding us and in designing and implementing our marketing strategy.
Not true about scanner data is a. scanner data is considered primary data
To know more about scanner data visit
brainly.com/question/11321139
#SPJ4
Express the ratio below in its simplest form.
4.5
:
3
1/2
Answer:
9 : 7
Step-by-step explanation:
given the ratio
4.5 : 3 [tex]\frac{1}{2}[/tex] , that is in decimal form
4.5 : 3.5 ( multiply both parts by 10 to clear the decimal )
= 45 : 35 ( divide both parts by 5 )
= 9 : 7 ← in simplest form
Answer:
9:7
Step-by-step explanation:
Convert all the numbers to either decimal or fraction. The operation becomes simple.
Simplifying after converting to decimal
Convert 3 1/2 to decimal 3 1/2 = 3 + 1/2
1/2 = 0.5
3 + 1/2 = 3 + 0.5 = 3.4
Ratio 4.5:3.5 = 4.5/3.5
Divide by 5 to give
[tex]\dfrac{4.5 /5 }{3.5/5} = 0.9/0.7\\\\[/tex]
Multiply both numerator and denominator by 10
0.9 x 10 = 9
0.7 x 10 = 7
So the ratio becomes 9/7 = 9:7
Simplifying after converting to fraction
4.5 = 4 + 0.5
0.5 = 1/2
5.5 = 4 + 1/2 = 4 1/2
Convert to mixed fraction:
4 1/2 = (4 x 2 + 1)/2 = 9/2
Convert 3 1/2 to fraction
3 1/2 = (3 x 2 + 1)/2 = 7/2
So 4.5 : 3 1/2 = 9/2 : 7/2
Multiplying by 2 we get the same answer: 9:7
Choose whichever approach you feel comfortable with
For Halloween you bought a bag of 500 pieces of mixed candy. After just one hour you see that you only have 350 pieces left for the rest of the evening. What is the percentage change in candy after that first hour?a. -25%b. -35%c. -15%d. -30%
She has 480 pieces of candy left after Halloween (option a ) -25% percentage
to solve this problem we have to analyze the information given:
Candy available: six 100-piece bags
Number of children: 20
Pieces of candy for each child: 6
So, we have to calculate the total amount of candy available by multiplying the pieces of candy that each bag has (100) by the number of bags(6)
100 x 6 = 600
Then, we have to multiply the number of children (20) by the number of pieces of candy that each one receives (6) and then subtract that number to the number of pieces of candy available.
20x 6 = 120
600 -120 = 480
She has 480 pieces of candy left after Halloween (option a ) or -25 percentage
learn more about of percentage here
https://brainly.com/question/13433170
#SPJ4
What is the value of sin^2-cos^2?
The of sin^2-cos^2 = [tex]Sin 2x Cos 2x = 2 Cos x (2 Sin x Cos2 x - Sin x)[/tex]
Sin equals cos where?The sine of the angle is the ratio of the hypotenuse, or the angle's opposite, to the perpendicular in a right-angled triangle. Sinus is defined as Sinus = Perpendicular / Hypotenuse.
Sin 180 has a value of 0 precisely. One of the fundamental trigonometric functions is sine, which may be used to calculate the angle or sides of a right-angled triangle. Another name for it is trigonometric ratio.
If theta is an angle, then sine theta is the ratio of a right triangle's hypotenuse to its perpendicular.
trigonometric double angle formulas,
[tex]Sin 2x = 2 sin x cos x[/tex] ————(i)
And,
[tex]Cos 2x = Cos2x - Sin2x[/tex]
[tex]= 2 cos2x - 1 [Since Sin2 x + Cos2 x = 1][/tex] ————(ii)
[tex]= 1 - 2Sin2x[/tex] ————(iii)
Now, multiply equation I by (ii) or (ii) by equation I to obtain the value of Sin 2x Cos 2x (i)
Think about equation I and (ii),
[tex]Sin 2x = 2 sin x cos x[/tex]
And,
[tex]Cos 2x = 2 cos2x - 1[/tex]
Simplifying the above equation, then we get
[tex]Sin 2x Cos 2x = 2 Sin x Cos x (2 cos2x - 1)= 4 Sin x Cos3 x - 2 Sin x Cos x= 2 Cos x (2 Sin x Cos2 x - Sin x)[/tex]
Think about equation I and (iii),
[tex]Sin 2x = 2 sin x cos xCos 2x = 1 - 2 Sin2x[/tex]
Simplifying the above equation, then we get
[tex]Sin 2x Cos 2x = 2 Sin x Cos x (1 - 2 Sin2x)= 2 Sin x Cos x - 4 Sin3 x Cos x= 2 Cos x (Sin x - 2 Sin3 x)So,Sin 2x Cos 2x = 2 Cos x (2 Sin x Cos2 x - Sin x)[/tex]
To learn more about Trigonometric ratio, refer to:
brainly.com/question/28105100
#SPJ4
convert the given system to an augmented matrix. 2x1 x2 = 2 −x1 − x2 − x3 = 6. Find all solutions by reducing the system to echelon form and back substituting. (If there are an infinite number of solutions use s1
as your parameter
The solution to the system is x1 = -4, x2 = 10.
What is the solution to the system?
A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitute solutions to the system. (5, 4) is a solution of the first equation, but not the second.
The given system can be converted to an augmented matrix as follows:
[ 2 1 | 2 ]
[-1 -1 -1 | 6 ]
To find all solutions, we will reduce the system to echelon form and back substitute.
Step 1: Echelon Form
We can perform row operations to reduce the matrix to echelon form:
[ 2 1 | 2 ] R1 = R1 * 1/2
[-1 -1 -1 | 6 ]
[ 1 1/2 | 1 ] R2 = R2 + R1
[ 0 -3/2 -1 | 5 ]
Step 2: Reduced Row Echelon Form
Next, we can perform additional row operations to reduce the matrix to a reduced row echelon form:
[ 1 1/2 | 1 ] R2 = R2 * 2
[ 0 1 | 10 ]
The reduced row echelon form of the matrix represents the system of equations in a simplified form and the solution to the system can be obtained by back substituting.
Step 3: Back Substituting
x2 = 10
x1 = 1 - 1/2 x2 = 1 - 1/2 * 10 = 1 - 5 = -4
Therefore, the solution to the system is x1 = -4, x2 = 10.
To learn more about the solution to the system visit,
https://brainly.com/question/4686750
#SPJ4
Susie's mom is keeping track of how many pieces of candy Susie and her four brothers are eating. The information is graphed below. At what rate is the amount of candy changing? A. -75 pieces of candy per day B. 90 pieces of candy per day C. -90 pieces of candy per day D. 75 pieces of candy per day
The rate of change for a graph passing through (0, 0) and (2, -180) is -90 pieces of candy per day
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The slope intercept form of a linear equation is:
y = mx + b
where m is the rate of change and b is the y intercept
Let y represent the total pieces of candy remaining after x days. Let us assume that the graph passes through (0, 0) and (2, -180). Hence:
[tex]Slope(rate\ of\ change) = \frac{y_2-y_1}{x_2-x_1}\\ \\substituting:\\\\slope=\frac{-180-0}{2-0} =-90[/tex]
The rate of change is -90 pieces of candy per day
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
find mean in the above distribution
The mean in the above distribution is 1.84
How to find mean in the above distributionFrom the question, we have the following parameters that can be used in our computation:
The figure
The mean value is then calculated as
Mean = SUm of the product of children and familes/Sum of families
So, we have
Mean = (0 * 23 + 1 * 19 + 2 * 29 + 3 * 9 + 4 * 20)/(23 + 19 + 29 + 9 + 20)
Evaluate
Mean = 1.84
Hence, the mean is 1.84
Read more about mean at
https://brainly.com/question/14532771
#SPJ1
solve the initial-value problem answer: xy = y x^2 sinx, y(pi/3) = 0
The value of the constant in the function is c = -√3π²/6(3-π).
A differential equation is an equation that relates an unknown function and one or more of its derivatives. The equation dy/dx = f(x) is a simple example of a differential equation. Solving this equation means finding a function y with a derivative f. Therefore, the solutions of dy/dx are the antiderivatives of f. If F is one antiderivative of f, every function of the form y = f(x) + c is a solution of that differential equation.
Initial-value problems arise in many applications. Next we consider a problem in which a driver applies the brakes in a car. We are interested in how long it takes for the car to stop. Recall that the velocity function v(t) is the derivative of a position function s(t), and the acceleration a(t) is the derivative of the velocity function. In earlier examples in the text, we could calculate the velocity from the position and then compute the acceleration from the velocity. In the next example, we work the other way around. Given an acceleration function, we calculate the velocity function. We then use the velocity function to determine the position function.
The given equation is xy = y + x² sinx
⇒ xy - y = x² sinx
⇒ y(x-1) = x² sinx
⇒ y = x² sinx/(x-1) +c
Also, y(π/3) = 0
Put x = π/3 in above equation:
y(π/3) = (π/3) ² sin(π/3) /((π/3)-1) + c = 0
After solving the above equation, we get c = -√3π²/6(3-π)
Thus, the value of the constant in the function is c = -√3π²/6(3-π).
To learn more about differential equation, visit brainly.com/question/14620493
#SPJ4
How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
Answer:
Howdy so if you buy an item to which 6% tax is added, you pay 106% of the price. The price of the item is $50, you pay 50(1.06) = $53.
4. Janet hiked 2.5 miles in one hour.
How far did she hike in kilometers?
A 0.6 km
B
1.6 km
C 4.0 km
D 4.2 km
Janet hiked a distance of 2.5 miles which is equivalent to 4 km
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
Speed is the ratio of total distance to total time travelled. It is given by the equation:
Speed = distance / time
Janet hiked 2.5 miles in one hour. Hence:
Speed = distance / time = 2.5 miles / one hour = 2.5 miles per hour
1 mile = 1.609 km
2.5 miles = 2.5 miles * 1.609 km per mile = 4 km
Janet hiked 4 km
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Question Solve for x. x+27=−12 Enter your answer in the box. please answer Fast
Answer:
x = -39
-39 + 27 = -12
Step-by-step explanation:
Hope it helps! =D
Answer:
Here you have
Step-by-step explanation:
x + 27 = -12
x= -12 - 27
x= - 39
Which of the following functions are solutions of the differential equation y′′+2y′+1y=0 ?
A. y(x)=−x
B. y(x)=e^-x
C. y(x)=xe^x
D. y(x)=e^x
E. y(x)=xe^−x
F. y(x)=−e^x
G. y(x)=0
Option (B) and (E) functions are solutions of the differential equation y′′+2y′+1y=0.
What is differential equation?An equation known as a differential equation describes the derivative or derivatives of an unknown function. Because they are equations involving a function and its derivatives (where the variable is a function rather than a number) (the functions obtained by differentiating it). Save this response. Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.
Given that,
y′′+2y′+1y = 0
A.E = m² + 2m + 1 = 0
or, (m + 1)² = 0
or, m = ± 1
y = (c₁ + c₂x)e⁻ˣ
y = c₁e⁻ˣ + c₂xe⁻ˣ
Thus, option (B) and (E) are solutions of the differential equation:
y′′+2y +1y = 0.
To know more about differential equation refer to:
https://brainly.com/question/1164377
#SPJ4
a few months ago, mike and dez started a dog walking business. for each dog that they have agreed to walk, they recorded the total time (in hours) they walked that dog over a one-week period. these values are given below. use the calculator to draw a histogram for these values using 5 classes. 1.6,4.0,4.7,1.6,2.5,2.2,0.6,2.0,3.0,2.6 what percentage of their dogs are walked at least 1.5 hours but under 4.2 hours per week? (round your answer to the nearest percent.)
You can easily find the percentage of dogs that are walked at least 1.5 hours but under 4.2 hours per week by counting the number of data values in the appropriate class and dividing by the total number of data values, then multiplying by 100.
How you can create a histogram?Determine the range of the data: 0.6 to 4.7.
Divide the range by the number of classes (5) to find the class width: (4.7 - 0.6) / 5 = 0.76.
Determine the lower limits of each class by starting at the minimum value (0.6) and adding the class width repeatedly: 0.6, 1.36, 2.12, 2.88, 3.64, 4.4.
Count the number of data values that fall into each class and record it in a table.
Draw a bar for each class using the lower limit of the class as the x-axis value and the height of the bar equal to the number of data values in the class.
After creating the histogram, you can easily find the percentage of dogs that are walked at least 1.5 hours but under 4.2 hours per week by counting the number of data values in the appropriate class and dividing by the total number of data values, then multiplying by 100.
Learn more about histogram in brainly.com/question/30354484
#SPJ1
Can someone help me on this?
Geometry 1 find the measure of the angle
Answer:
46
Step-by-step explanation:
draw a line at 96° & make it parallel to bottom line
which will slice 96° into 2 angles
lower half is 180-130=50
top half is 96-50=46
angle 4r equals to top half
Arts and Crafts An arts and craft supply store has a large crate that
contains brass, silver, and copper beads. Several friends take turns
pushing their hands into the beads, grabbing one, recording the bead
type, and placing the bead back into the crate. They then repeat the
process. The table shows the count for each bead type. Write a
probability model for choosing a bead.
Dlhrann-
Enter your
The probability of p(copper)=0.28
Probability model for choosing a bead?Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probability is a fundamental concept in mathematics, statistics, and science that is used to quantify uncertainty and forecast the likelihood of future events based on available data. Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.
Given
Total Beads =112+96+192=400
Placing the bead back to the crate
so the total beads are always 400
copper:112
p(copper)=112/400=0.28
To learn more about Probability refers to:
https://brainly.com/question/30034780
#SPJ4
Kevin run a woodhop. Every day the woodhop i open he earn money in ale and pend money on upplie. After cot, how much more money did Kevin make on Saturday than on Monday?
After cost, the more money did Kevin make on Saturday than on Monday is $376.89.
The amount of Spends on monday is,
Sales = $397.35
Supply cost = $108.72
So the profit he is earning is
$397.35 - $108.72 = $288.63
The amount of Spends on Saturday is,
Sales = $914.06
Supply cost = $248.54
So the profit he is earning is
$914.06- $248.54= $665.52
Money did Kevin make on Saturday than on Monday is,
Money from saturday - money from monday
= $665.52 - $288.63
= $376.89
Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.
Any profits generated are returned to the company's owners, who can decide whether to keep the money for themselves, pay dividends to shareholders, or reinvest it in the company.
Learn more about Money making problem:
https://brainly.com/question/11106528
#SPJ4
your friend measured the distance between her town and the state capital on the map. Her measurement was 4 1/2 inches. Based on your friend's measurement ,what is the actual distance (in miles) between her town and the state capital ?
The actual distance (in miles) between her town and the state capital is 90 miles.
What is scale factor?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 basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, a map of the state where your friend lives has the scale 1/2 in : 2 mi.
Now, 10 ÷ 1/2
= 10×2
= 20
Her measurement was 4 1/2 =9/2 inches.
Now, 20×9/2
= 90 miles
Therefore, the actual distance (in miles) between her town and the state capital is 90 miles.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
A map of the state where your friend lives has the scale 1/2 in : 2 mi.
Your friend measured the distance between her town and the state capital on the map. Her measurement was 4 1/2 inches. Based on your friend's measurement ,what is the actual distance (in miles) between her town and the state capital?
Does someone mind helping me with this problem? Thank you!
Answer: the answer is 180 km.
Step-by-step explanation:
Answer:
180 km
Step-by-step explanation:
1 cm to 20 km
9cm=20 times 9
180 kilometers
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2t^2) i + (3t + 4) j + (2t^3) k, t = t_0 = 3 What is the standard parameterization for the tangent line? x= y= z =
The standard parameterization for the tangent line is x = 12t + 18 , y = 3t + 13 , z = 54t + 54
Equation of this type is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables.
Given that,
Given that, t = t0 = 3, I + (3t + 4) j + (2t 3) k
In order to get the tangent line to the curve at t=3, (x, y, z) = 18, 13, and 54,
r'(t) = 4t, 3, > and r'(t=3) = 12, 3, 54>. (18, 13, 54)
finally,
x = 12t + 18
y = 3t + 13
z = 54t + 54
The tangent line's usual parameterization is as follows:
x=12t+18, y=3t+13, and z=54t+54
For additional information on parametric equations
brainly.com/question/29168942
#SPJ4
If Jon can paint the equivalent of 5/12 of a fence in an hour, how many minute will it take for them to complete the job?
Answer:
25 minutes
Step-by-step explanation:
5/12×60 minutes
5×60=300
300/12
Answer =25
Find the exact length of line segment PQ
The exact length of line segment PQ is 22.4.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
Given;
p(x,y)=(17,4)
m(x,y)=(-2,16)
Now,
[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
D^2= (-2-17)^2+(16-4)^2
D^2=361+144
D^2= 505
D=22.4
Therefore, the distance will be 22.4
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ1
(−5/6x−7/12)−(−1/3x−1/4) . the slashes are fractions PLS ANSWER FAST
Answer:
That's what I got, not sure but I tried so I hope it helps.
What are the measures of angles AB and C show your work and explain your answers? I really only need the answer to C please :) this is my first post so giving as much as I can to people who answer. PLEASE ANSWER SOON
The measure of angles becomes:
∠a = 30°
∠b = 60°
∠c = 105°
What is triangle?Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
∠a and 30° are vertical angles and vertical angles are equal
∠a = 30°
We have a triangle with a, b and a right angle. Triangles have angles that add to 180°.
∠a + ∠b + 90° = 180°
30° + ∠b + 90° =180°
120° + ∠b = 180
∠b = 180° - 120°
∠b = 60°
Angle c and 70 form a straight line and straight lines are 180 degrees
∠c + 75° = 180°
∠c = 180° - 75°
∠c = 105°
To know more about angles refer to:
https://brainly.com/question/25716982
#SPJ1
A university student completed courses worth 3 credits and some courses worth 4
credits. The student earned a total of 54 credits after completing 15 courses. How
many courses worth 4 credits did the student complete?
2078/08/20, A machine was valued Rs.20,000 whereas its original value was Rs. 17,500.
it is an accountancy question..please answer fast
The depreciation if production during the first year is 6,000 and total estimated production during the working life of the machine is 60,000 units is 15000.
How to calculate the depreciationCost of machine = Rs. 1,70,000; Scrap value = Rs. 20,000;
Depreciation in production during the first year = 6,000 units;
Production units during the life of the machine = 60,000 units
Depreciation rate per unit = (Rs. 1,70,000 - Rs. 20,000)/ 60,000 units
= Rs. 2.5
Depreciation of first year = 6,000 * Rs. 2.5 = Rs. 15,000
Learn more about depreciation on:
https://brainly.com/question/1203926
#SPJ1
Complete question
If the original cost of a machine is Rs. 170,000, estimated scrap value Rs. 20,000, what is the depreciation if production during the first year is 6,000 and total estimated production during the working life of the machine is 60,000 units.
Find mqn
Please help me
70 degrees is the measure of MQN from the provided figure.
Solving angles in a line geometry.A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
From the given figure, we are to determine the measure of angle <MQN. Applying the sum of angles on a straight line:
<MQN + 80 +30 = 180
<MQN + 110 = 180
<MQN = 180 - 110
<MQN = 70 degrees
Hence the measure of <MQN from the given figure is 70 degrees.
Learn more on line geometry here: https://brainly.com/question/7098341
#SPJ1
Learn more on line geometry here: https://brainly.com/question/7098341
#SPJ1
Find the simple interest when $500 is invested at 6% for 3 years.
Given:-
[tex] \rm Principal = \bold { 500}[/tex][tex] \rm \: Time = \bold{ 3 year}[/tex][tex] \rm \: Interest \: rate = \bold 6 \%[/tex][tex] \: [/tex]
To find:-
[tex] \rm{simple \: interest = \bold {?}}[/tex][tex] \: [/tex]
By using formula:-
[tex] \pmb{\boxed{ \rm{Simple \: interest = \bold { \frac{Principal × Time × Rate}{100} }}}}[/tex][tex] \: [/tex]
Solution:-
[tex] \rm{SI = \frac{PTR}{100} }[/tex][tex] \: [/tex]
[tex] \rm{SI = \frac{500 \times 3 \times 6}{100} }[/tex][tex] \: [/tex]
[tex] \rm{SI = \frac{5 \cancel{00} \times 3 \times 6}{1 \cancel{00}} }[/tex][tex] \: [/tex]
[tex] \rm{SI = \frac{5 \times 3 \times 6}{1} }[/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \rm \bold{{ \red{SI =90}}}}}[/tex][tex] \: [/tex]
hope it helps!:)
On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change. At 7:30 a.m., the temperature was -4°F. By 7:32 a.m., the temperature was 45°F. By 9:00 a.m. the same day, the temperature was 54 °F. By 9:27 a.m., the temperature was -4 °F. How many degrees did the temperature change each minute from 9:00 to 9:27?
From 9:00 a.m. to 9:27 a.m., the temperature changed from 54°F to -4°F, a change of 58°F. This change took 27 minutes.
The temperature change per minute was 58°F / 27 minutes = 2.15°F per minute.
let n ≥ 9. how many trees are there on vertex set [n] in which at least one vertex has degree n − 3?
n−4 out of the n−3 neighbors of [tex]v_0[/tex] are leaves, except for [tex]v_k[/tex], which has degree 3 and is adjacent to [tex]v_0[/tex], [tex]v_n_-_1[/tex]. and [tex]v_n[/tex] . [tex]v_n[/tex] and [tex]v_n_-_1[/tex] are both leaves.
Now, According to the question:
It is easy to show that a tree with n ≥ 9 can have at most one vertex of degree n - 3. It is [tex]v_0[/tex].
Now, there are n - 1 - (n - 3) = 2 vertices that are not adjacent to [tex]v_0[/tex], it is also
[tex]v_n_-_1[/tex] and [tex]v_n[/tex]
Then a desired tree can be of 3 possible forms:
1. n - 4 out of n - 3 neighbors of [tex]v_0[/tex] are leaves, except for [tex]v_k[/tex], which has degree 2 and is adjacent to both [tex]v_0[/tex] and [tex]v_n_-_1[/tex]. [tex]v_n_-_1[/tex] has degree 2 and is adjacent to [tex]v_k[/tex] and [tex]v_n.v_n[/tex] is a leaf.
2. n − 5 out of the n − 3 neighbors of [tex]v_0[/tex] are leaves, except for [tex]v_j[/tex] and [tex]v_k[/tex]. [tex]v_j[/tex]has degree 2 and is adjacent to [tex]v_0[/tex] and [tex]v_n_-_1[/tex]. [tex]v_k[/tex] also has degree 2 and is adjacent to[tex]v_0[/tex] and [tex]v_n[/tex]. [tex]v_n[/tex] and [tex]v_n_-_1[/tex] are both leaves.
3. n−4 out of the n−3 neighbors of [tex]v_0[/tex] are leaves, except for [tex]v_k[/tex], which has degree 3 and is adjacent to [tex]v_0[/tex], [tex]v_n_-_1[/tex]. and [tex]v_n[/tex] . [tex]v_n[/tex] and [tex]v_n_-_1[/tex] are both leaves.
It is then easy to computer the number of trees in each form and sum them up.
Learn more about Vertex at:
https://brainly.com/question/29258065
#SPJ4
100 POINTS!!!
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
1 0
2 5
3 10
4 15