Answer: B
Step-by-step explanation: Adjacency Matrix is a square matrix representing a simple graph with 0 or 1 according to the condition given.
In this diagram, 0 corresponds to no connection between airports and 1 corresponds to connections between airports.
In other words, analysing the image, we see that:
1) Albany just have connection with Atlanta, so in the position of line Albany with column At, it must be a 1. The other columns, there are 0.
The Line for Albany in the matrix will be: [0 1 0 0 0 0]
2) Atlanta has connections with Albany, Dalton, Macon and Augusta. So corresponding position (line and column) must be 1. The only two airports Atlanta doesn't have connection with its own and Waycross, so at the corresponding column and line, it is written 0.
The line for Atlanta in the matrix is [1 0 1 1 1 0]
3) Augusta: connections with Atlanta, Macon, Waycross. At those positions, it will be written 1. At positions related to itself, Albany and Dalton is 0.
The line in the matrix will be [0 1 0 0 1 1]
4) Dalton: connection with Atlanta only. That position will be 1 while the others will be 0.
The line is [0 1 0 0 0 0]
5) Macon: connections with Atlanta, Augusta and Waycon: those positions will have 1 and the other 0.
The line is [0 1 1 0 0 1]
6) Waycross: connections with Macon and Augusta. Those positions will be 1 and the others 0.
The line is [0 0 1 0 1 0]
In conclusion, the adjacency matrix matching the scenario is
[tex]A=\left[\begin{array}{cccccc}0&1&0&0&0&0\\1&0&1&1&1&0\\0&1&0&0&1&1\\0&1&0&0&0&0\\0&1&1&0&0&1\\0&0&1&0&1&0\end{array}\right][/tex]
Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.
What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet
Answer:
4 1/8 square feet
Step-by-step explanation:
Area= l*b assuming that it's a rectangle or a square
2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)
so, 2 3/4 converted will be- 11/4
& 1 1/2 converted will be- 3/2
11/4*3/2=33/8
Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,
The ans would be 4 1/8 sqft
I need help please #23
Answer:
24
Step-by-step explanation:
8%=8/100
& 8/100 of 60=4.8 ( "of" in mathematic means "multiply")
check if you get 4.8 by multiplying each of the given options by 1/5
1/5 0f 24=4.8
So 24 will be the ans
14. A pair of cars, 280 miles apart, begin at the
same time to run toward each other. If car A from
city A runs at a rate that is 10 mph faster than car
B from city B, and if they meet 2 hours later, how
far is the place they meet away from city A?
Please help
Answer:
Step-by-step explanation:
hi malak
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider charges $10 per month plus an activation fee of $20. A second cellphone provider charges $11 per month plus an activation fee of $15. For what number of months is the cost of either cellphone provider the same?
Answer:
Hope it can help you.......
If you understand my answer, You can mark me as a brainlist...........
Follow me.........
The line graphed below has a slope of ____.
3
1/3
-3
Answer:
-3
Step-by-step explanation:
Hope this helps!
My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.
Answer:
I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.
Step-by-step explanation:
Eight more then seventimes a number (x) is atleast twenty nine
Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73
Some number decreased by seven is thirty-three. x - 7 = 33
A number increased by twelve is forty. x + 12 = 40
A number increased by fifteen is sixty-two. x + 15 = 62
Eight less than a number is nine. x - 8 = 9
A number divided by 11 is 4. x/11 = 4
Seven more than three times a number is 19. 3x + 7 = 19
Four more than five times a number is thirty-six. 5x + 4 = 35
Eight less than nine times a number is eleven. 9x - 8 = 11
Twelve more than four times a number is seven. 4x + 12 = 7
Seven more than triple a number is fifteen. 3x + 7 = 15
Seven times a number increased by eight equals twenty-three. 7x + 8 = 23
Eight more than six times a numbers is eleven. 6x + 8 = 11
Nine times a number increased by thirteen is twelve. 9x + 13 = 12
The quotient of a number and four is seventeen. x/4 = 17
A number increased by seven is twenty-five. x + 7 = 25
Fifty-five is the sum of a number and sixteen. x + 16 = 55
The product of a number and eleven is seventy-five. 11x = 75
Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37
The difference of a number and twelve is thirty-four. x - 12 = 34
Step-by-step explanation:
Answer:
x is equal to or greater than 3
Step-by-step explanation:
7x + 8 => 29
7x => 21
x => 3
a school is purchasing a new uniform for the badket ball team each uniform costs the school $44.00 the school pays a $70.00 flat shipping fee if the school spends $1,390.00 on the order, how many uniforms did they purchase
Answer:
30?
Step-by-step explanation: Sorry if this is wrong. I think this is thirty though.
Answer:
The answer is 30.
Step-by-step explanation:
1,390-70 is 1,320. 1,320 divided by 44 is 30.
Are the two given triangles similar? Show your work to support your answer.
Helpppp please
Which of the following equations have no solutions?
Answer:
A
Step-by-step explanation:
If the variable quantities are the same, but the constants are different, then that equation has no solutions.
.Write the following number in expanded form using powers of 10: 67.938
Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
a=zm+z solve for m please help!!!!!
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
Find the sale price. Round to the nearest cent. regular price: $49.71 percent of discount: 20%
Answer:
$39.77
Step-by-step explanation:
Jenny made 520 walnut biscuits. This is 40% of the total number of biscuits that she made. How many biscuits did she make in all?
she made 1300 biscuits
solve the inequality
h-(-2)≥10
Let's solve your inequality step-by-step.
h−(−2)≥10
Step 1: Simplify both sides of the inequality.
h+2≥10
Step 2: Subtract 2 from both sides.
h+2−2≥10−2
h≥8
Answer:
h≥8
(Pls mark brainliest)
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
The given inequality is:
h -(-2) ≥ 10
Simplify the left hand side
h + 2 ≥ 10
Subtract 2 from both sides of the inequality
h + 2 - 2 ≥ 10 - 2
h ≥ 8
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
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Given the answer to a
problem asking you to simplify the expression,
write the possible problem. Explain how you
created the problem.
I really need help I don’t understand this. I will be given 20 points to whoever helps me. Thank you
curved surface area of half cylinder
Answer:
curved surface area of half cylinder is
Step-by-step explanation:
πr2h
Answer:
Area of half cylinder is
Step-by-step explanation:
πr2h
URGENT!!!!!!!!!!!!!! help please!!!
Solve the given system by substitution.
Answer:
(2, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
r = 4s
r = 1/2s + 7
Step 2: Solve for s
Substitution
Substitute in r: 4s = 1/2s + 7Subtract 1/2s on both sides: 7/2s = 7Divide 7/2 on both sides: s = 2Step 3: Solve for r
Define equation: r = 4sSubstitute in s: r = 4(2)Multiply: r = 8Answer:
s = 2
r = 8
Step-by-step explanation:
subsitution is were you plug in a systerm into the other problem
since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)
so now you have 4s = 1/2s+7
now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7
now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2
s = 2
now we have s we take that and plug it into r = 4s
subsitute S as 2 --> r = 4(2)
r = 8
50 points!
Select the correct answer.
Which equation has an extraneous solution?
Answer:
C. Square root of x = -5
Step-by-step explanation:
Answer: c [tex]\sqrt{x} =-5[/tex]
Step-by-step explanation:
Help me PLEASE!
2. When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets
home. Draw a graph to represent this situation?
Answer: I can give coordinates (0,400) (1,350) (2,300) (3,250) (4,200) (5,150) (6,100) (7,50) (8,0)
Step-by-step explanation:
Deema starts at 400 which is y-intercept and goes down on a slope of -50 cause we are decreasing 50 mi for every hour she drives.
Hope this helped :) !!!!!!!
The coordinates of the graph representing the given situation are listed below
A (0 ,400)
B ( 1 ,350 )
C (2,300)
D(3,250)
E(4, 200)
F(5, 150)
G(6, 100)
H(7, 50)
I (8, 0)
The graph attached shows the nature of the graph.
Total distance traveled by Deema = 400 miles
The average speed of Deema = 50 mph
In each 1 hour, 50 miles of distance will be covered
So by the rate of 50 miles per hour the coordinates in this situation are given as follows
Time (X axis) Distance (Y axis)
0 400
1 350
2 300
3 250
4 200
5 150
6 100
7 50
8 0
The coordinates of the graph are listed above and the nature of graph is shown in the figure attached in the solution.
The graph of this situation has a constant negative slope.
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Which expressions are equivalent to 0.75(4h - 6)
plz, answer the question in the photo.
Answer:
I'm pretty sure its 1 1/8
Step-by-step explanation:
who knows this
A. cube root
B. square root
C. square
D. cube
Answer:
A. Cube root
Step-by-step explanation:
list the points in a graph of f where f(x)= -2
equations is f(x)= 3x²-x-2
Answer:
(0,-2), (1/3,-2)
Step-by-step explanation:
HELP HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=0
Step-by-step explanation:
Anything to the power of 0 is 1
Answer:
x=0
Step-by-step explanation:
take the logarithm of both sides of the equation to remove the variable from the exponent.
Hailey's hair grows at a rate of 1/2 inch per month. How many months will it take her hair to grow a total of 8 inches?
Answer:
16 months for it to grow 8 inches
Answer:
16
Step-by-step explanation:
growth in 1 month = 1/2 inches
growth in x months = x*1/2 inches
total growth = 8 inches
thus,
8 = x*1/2
x = 8 / (1/2)
= 16
I need help with this question asap please
Answer:
62
Step-by-step explanation:
(82-2)-2× 3^7 ÷ 3^3
___________
3^2
80 - 2 × 3^4
_________
3^2
80 - 2 × 3^2
80 - 2 × 9
80 - 18
62
Algebra question
What is the solution to the following system?
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
Answer:
C.(2,1,0)
Step-by-step explanation:
on edg
The solution to the following system is [tex](2,1,0)[/tex].
What is Algebra?Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.
We have,
[tex]3x+3y+6z=9[/tex] [tex](i)[/tex]
[tex]x+3y+2z=5[/tex] [tex](ii)[/tex]
[tex]3x+12y+12z=18[/tex] [tex](iii)[/tex]
To find the solution to the above give algebraic equations,
We have to find values of [tex]x,y,z[/tex].
So,
We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],
[tex]3x+3y+6(0)=9[/tex]
[tex]3x+3y=9[/tex] [tex](iv)[/tex]
Now,
We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],
[tex]x+3y+2(0)=5[/tex]
[tex]x+3y=5[/tex]
[tex]x=5-3y[/tex] [tex](v)[/tex]
Using equation [tex](iv)[/tex] & [tex](v)[/tex],
We get,
[tex]3(5-3y) +3y=9[/tex]
[tex]15-9y+3y=9[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex],
Now we have value of [tex]y=1[/tex], putting this value in equation [tex](v)[/tex],
[tex]x=5-3(1)[/tex]
[tex]x=2[/tex],
Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.
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what is the slope of a line perpendicular to the line y=-1/4x-1
slope of line perpendicular to the line y=-1/4x-1 is 4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us write the given equation y=-1/4x-1
If we compare the given equation with slope intercept form
We get to know slope of line m is -1/4.
It two lines are perpendicular then the product of their slopes will be -1
-1/4×m=-1
m=4
Hence slope of line perpendicular to the line y=-1/4x-1 is 4.
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