The diagram below shows a map of the routes taken by Georgia Air-Taxi airline. On this diagram lengths and directions are irrelevant, all that matters is the connections between airports. Choose the adjacency matrix, name it A, that matches the scenario.
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]
Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Company A is cheaper than Company B.
Answer:
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Step-by-step explanation:
Let the number of hours be represented by t
For Company A
Company A charges $45 per hour and a $150 equipment fee.
150 + 45t
For Company B
Company B charges $35 per hour and a $200 equipment fee.
200 + 35t
Write an equation for each situation, in terms of t,t, and determine
The interval of hours,t, for which Company A is cheaper than Company B is given as:
Company A < Company B
Hence:
150 + 45t < 200 + 35t
Collecting like terms
45t - 35t < 200 - 150
10t < 50
t< 50/10
t < 5
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Answer:
This is the correct answer on Delta Math
Step-by-step explanation:
please show work
A car travels 110 miles in 2 hours (with a constant speed. How much time will it take traveling 484 miles?
Answer:
8.8 hours or 528 minutes
Step-by-step explanation:
110 miles in 2 hours
divide both by 2
55 miles in 1 hour
484/55 = 8.8 hours
If you need it in minutes there are 60 minutes in an hour so multiply 8.8 by 60
8.8*60=528 minutes
Find the slope of: A(-2,-4), B(2, 4) *
Answer:
2/1
Step-by-step explanation:
Follow the formula: (y2 - y1) / (x2 - x1). So 4-(-4) and 2-(-2). A negative and a negative equal a positive so 8/4. Then simplify. Which gives you 2/1. Hope this helps.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the
height down to 3 in., how wide should the similar photo be?
Answer: 2 inches in width
Step-by-step explanation:
4 - 6
divide both by 2
2 - 3
The width of a similar photo comes to be 2 inches.
Width of original photo = 4 inches
Height of the original photo = 6 inches
Height of the scaled photo = 3 inches
What is the scale factor?A scale factor is a number that multiplies (“scales”) a quantity.
Scale factor = height of scaled photo/ height of the original photo
Scale factor= 3/6 = 1/2
So, the width of the scaled photo = scale factor * width of the original photo
The width of the scaled photo = (1/2)*4
The width of the scaled photo =2 inches.
Therefore, the width of a similar photo comes to be 2 inches.
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What is f(5) for the function f(x)= 2x+4?
f(5)=?
Answer:
5=2x+4
5-4=2x
1=2x
x=1/2
Answer:
if f(x)=2x+4
Then f(5)=2•5+4=14
The answer is 14
HELP! HELP! I never learned to count to ten, so I’ll just count to five and then. 1, 2, 3, 4, 5 outside, and then I’ll go and count/look again!
Answer:
6,7 8, 9,10
Step-by-step explanation:
those are the numbers after 5 in order
Answer:
6,7,8,9,10
six,seven,eight,nine,ten
Step-by-step explanation:
Hope this helps!!
Sherly's Plumbing and Howard's Plumbing have different
ways of charging their customers.
Sherly's Plumbing charges $43 per hour plus a $30 initial
fee.
Howard's Plumbing charges $28 per hour plus a $24
initial fee.
Make a function that represents each person, then find
the cost, f(7), for each person.
Your answer: Not there yet, keep working
Question
Answer
Linear Function for Sherly:
s =
Linear Function for Howard:
Sherly $(7) =
Howard $(7) =
Answer:
Sherly's Plumbing is : f(x) = 43x + 30 and Howard's Plumbing is f(x) = 28x + 24
sherly's f(7) = 331 and Howard's f(7) = 220
Can someone help me with this
Answer:
C
Step-by-step explanation:
I checked it and it’s right hope this helps!!
David buys last year's best-selling novel, in hardcover, for $15.30. This is with a 15% discount from the original price. What was the original price
of the novel?
Answer/Step-by-step explanation:
$15.30 * 0.15 = 2.295 or 2.30
15.30 + 2.295 = 17.595 or 17.60
The original price of the book is $17.60.
Is 14x+16x-4=5(4x+9)x=49 a solutionn or problem?
Answer:
its a problem there is still work to be done with it
Step-by-step explanation:
The sample space below shows the results the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they
scored more goals than their opponent, lost matches where they scored less, and tied matches where they
scored the same amount.
If we take matches 1, 3, 5, 6, and 8 as a subset of the sample space, which of the statements below
describe this subset?
b. the subset consists of all the matches where there were no ties
and
d. The subset consists of all the matches where manchester united won or lost
I would post the picture of me getting it right if I could, if you want to trust me go ahead. success awaits ig lol
The correct statements are:
The subset consists of all the matches where there was a tie.The subset consists of all the matches where Manchester United's opponent did not lose.What is Data?In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.
Given:
From the table we can see that
As, the subset consists of all the matches where there was tie in matches 3, 5 and 8.
and, The subset consists of all the matches where Manchester United's opponent did not lose.
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1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?
Answer:
P is the principal amount, $200.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.
To find the simple interest, we multiply 200 × 0.02 × 15 to get that:
The interest is: $60.00
Please help its geometry :( no one answer my question
PLEASE HELP, THANK YOU (-:
Answer:
1 mile per hour
Step-by-step explanation:
11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.
I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.
Select all diagrams that show 4 x 1/3
Answer:
b
d
Step-by-step explanation:
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Answer:
1/2,5
Step-by-step explanation:
Answer:
1/2 5
Step-by-step explanation:
just got it right on edge
there are between 24 and 40 students in a class. The ratio is 4:7, how many students are there
Answer:
28:35 = 4:7
Step-by-step explanation:
Hope that helped!
Answer:
33 students
Step-by-step explanation:
4 + 7 = 11
8 + 14 = 22
12 + 21 = 33
hope this helps!
PLEASE ANSWER FAST ITS FOR A BIG TEST!!! Find an expression which represents the difference when (−6x+5) is subtracted from (−x−8) in simplest terms. ILL GIVE BRAINLIEST
Answer:
5x-13
Step-by-step explanation:
{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk
Answer:
(8,9)
Step-by-step explanation:
The biggest number minus the smallest number.
15 is 60% of what number?
Answer:
25
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
60 percent (calculated percentage %) of what number equals 15? Answer: 25.
Kennedy had the expression 3(2x-3x+8). She simplified and rewrote the
expression 3(8+x). If any, what was her error?
Answer:
It is -3x+24
Step-by-step explanation:
2x-3x is -x or -1x
It can also be simplified further using multiplication.
3(2x-3x+8)
3(-x+8)
-3x+24
Question 1
factor x^2 +8x +15
A. (x+5)(x+3)
B. (x+5)(x-3)
C. (X-5)(x-3)
Simplify the expression.
- 7 + 3 - 14 + 2
Answer:
-4 - 16
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
you just use a calculator lol :)
chess club with 30 members is electing a new president. Yolanda received 27 votes. What percentage of the club members voted for Yolanda?
Answer:
Step-by-step explanation:
90% of the chess club!
✨Hope it helps✨
✨Brainliest?
What is the prime factorazation of 50
Answer:
Prime factorization of 50 is 2 x 5 x 5 or 2 x 5^2
Step-by-step explanation:
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n,” the number of nights can she afford to rent the beach house?
A.n ≤ 6
B. n ≥ 6
C. n 5
Answer:
A.n ≤ 6
Step-by-step explanation:
A. n ≤ 6
May I have brainliest please? :)
can someone help me with this?
A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b