Traveling Salesperson Suppose you are a salesperson who must visit the following 23 cities: Dallas, Tampa, Orlando, Fairbanks, Seattle, Detroit, Chicago, Houston, Arlington, Grand Rapids, Urbana, San Diego, Aspen, Little Rock, Tuscaloosa, Honolulu, New York, Ithaca, Charlottesville, Lynchville, Raleigh, Anchorage, and Los Angeles. Leave all your answers in factorial form.

a. How many possible itineraries are there that visit each city exactly once?

b. Repeat part (a) in the event that the first five stops have already been determined.

c. Repeat part (a) in the event that your itinerary must include the sequence Anchorage, Fairbanks, Seattle, Chicago, and Detroit, in that order.

Answers

Answer 1

Answer:

1. 23!

2. 18!

3. 19!

Step-by-step explanation:

1.

We start by the order that we were given. Dallas is the first City with los Angeles being the last.. a total of 23 states.

Dallas can be placed in any of the 23 positions.

Tampa can be placed in any of the remaining 22 positions and so on.

Such that we have

Total number of ways = 23x22x21...x1 ways

= 23!

2. If first 5 cities have been determined,

23-5 = 18 cities

We can arrange in (23-5)! Ways

= 18!

3. We consider these 5 cities to be 1 unit, so we have to arrange the remaining 18 cities plus this single unit.

Total number of ways = (18+1)!

= 19!


Related Questions

100 points!!! Show your work on paper

Answers

Answer:

10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

Corresponding sides are AC with A'C' and CB with C'B'

AC/A'C' = CB/C'B'(x - 1)/2 = (x + 4)/33(x - 1) = 2(x + 4)3x - 3 = 2x + 83x - 2x = 8 + 3x = 11

Find the values of AC and CB:

AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cm

Answer:

AC=10cm

BC=15cm is your answer

One face of a cube-shaped package has an area of 7 5/8 square inches what is the lateral surface area of the package in square inches

Answers

Answer:

232.57 square inches

Step-by-step explanation:

The computation of the  lateral surface area of the package in square inches is shown below;

Let us assume the area of cube is a

Given that

a = [tex]7 \frac{5}{8}\ in^2[/tex]

As we know that in a cube there is a four faces so the lateral surface area would be

[tex]= 4a^2\\\\=4\times 7\frac{5}{8} ^2\\\\= 4\times (\frac{61}{8})^2\\\\= 4\times \frac{3721}{64} \\\\= 232.57[/tex]

= 232.57 square inches

19/20 and 23/25 common denominator

Answers

Hello!

The common denominator is 100.

~Sophia

16 emails to 6 text messages- 10 emails to 4 text messages proportional or not

Answers

Given:

16 emails to 6 text messages- 10 emails to 4 text messages

To find:

Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.

Solution:

Check the ratio of emails to text. If the ratios are equal then the relation is proportional.

16 emails to 6 text messages.

[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]

[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]

[tex]\dfrac{Emails}{Text}=8:3[/tex]

10 emails to 4 text messages.

[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]

[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]

[tex]\dfrac{Emails}{Text}=5:2[/tex]

Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.

if x=5 find the value of x squared

Answers

Answer: [tex]5^{2}[/tex] is 25. This is because 5 x 5 is 25.

Step-by-step explanation:

Answer:

squared is the result of multiplying a number by itself so if x= 5 then, 5 X 5 = 25 or [tex]5^{2} \\[/tex]

Step-by-step explanation:

simplify and factor this expression; 12x+18y+18x​

Answers

12x + 18y + 18x
combine like terms
30x + 18y
factor out 6
6 (5x + 3y)

Answer:

15x+9y

Step-by-step explanation:

1) Add: 12x+18x+18y= 30x+18y

2)Factor (divisible by 2)

3)Divide 2 from 30 and 18 so,

4)15x+9y

you want branliest.more branliest giving out

Answers

Answer:

that is a cute dog

Step-by-step explanation:

1. very fluffy

2. small

3. sleeping

4. teddy bear dog :D

Q2. Match the event with the most appropriate probability word: If a
multiple of 8 is chosen at random it will also be a multiple of 2.
Likely
Impossible
Certain
Evens
Unlikely
Other:

Answers

Certain. Why? Because If it’s a multiple of 8 it will ALWAYS be divisible by 2.
Please mark as “brainliest” it will earn you points!

5. Cuando abrió sus puertas, una tienda de café ofrecía 6 tipos diferentes de
bocadillos. Desde entonces, agregó dos nuevos bocadillos cada semana.
Si la tienda ofrece ahora 28 bocadillos diferentes, ¿cuántas semanas (s) han
transcurrido desde su inauguración?
?

Answers

Answer:

11 weeks have passed.

Step-by-step explanation:

We can create a linear function that represents the number of bocadillos offered as a function of the number of weeks (s) that went by since the beginning (when the number of bocadillos was 6):

f(s) = 6 + 2 * s

Since now the number of bocadillos is 28, we can solve for s in the equation

28 = 6 + 2 * s

subtract 6 from both sides

28 - 6 = 2 * s

22 = 2 * s

divide both sides by 2

11 = s

Therefore, 11 weeks have passed.

what is the Multiplicative of -12​

Answers

multiplicative would be ;

-12 ------> 1/-12

PLEASE HELP I AM STUCK

Answers

Answer:

Do the pythagor theorem and add 5

It's 65

what is a collection of numbers and mathematical operations

Answers

Answer:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Step-by-step explanation:

dekh mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga

Answer:

An algebraic expression is a collection of numbers, variables, operations, and grouping symbols. You will translate an unknown number as the variable x or n. The grouping symbols are usually a set of parentheses, but they can also be sets of brackets or braces.

pls pls guys pls pls pls pls pls

Answers

Step-by-step explanation:

area of the parallelogram = height (h) × base ( b)

=. 4 m × 6 m

=. 24 m²

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Round 7.5 to nearest whole number

Answers

Answer:

The answer is 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When a number has .5 after it you round up.

So, if a number has 5, 6, 7, 8, or 9 after the decimal round up

If a number has 1, 2, 3, or 4 after the decimal round down

Hope this helps!!

- Kay :)

How to solve 2x +3=2(x-6)?

Answers

Answer:

3 ≠ -12

Step-by-step explanation:

2x + 3 = 2(x-6)

2x + 3 = 2x - 12

3 ≠ -12

Answer:

3 ≠ -12

Step-by-step explanation:

2x + 3 = 2(x-6)

2x + 3 = 2x - 12

3 ≠ -12

Match each part of this algebraic expression with this appropriate description

Answers

Answer:

1) x and y --> Variable(s)

2) 1/6 --> Constant(s)

3) 12.1, 4.7, and 6 --> Coefficient(s)

4) 12.1x and 6x --> Like Terms

5) 12.1x, 4.7y, and 1/6 --> Terms

Is the area of a room measured in cm2 or m2

Answers

Answer:

m² would be the best unit if you want to measure a room.

Step-by-step explanation:

The unit cm² is too small and would be less exact.

Solve the following triangle

Answers

Answer:

69

Step-by-step explanation:

as , 77+x = 146(external angle) , so x = 146 - 77

so x = 69

Answer:

Step-by-step explanation:

hope you'll now how to do it by ur own.

:)

Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4; 2, 6, 10
C. Subtract 4: 1,5, 9
d. Add 4; 1,5,9

Answers

Answer:

d. add 4; 1, 5, 9

Step-by-step explanation:

to get from -15 to -11, they had to add 4, and so on.

-3+4= 1

1+4= 5

etc.

Marks own a carpet store and sells hallway runners for k9.52/linear foot. a) How much is this per linear yard? b) How much is the per linear Meter? C) Ralph needs 3.9m of the runner for his hallway. How much will it cost? Full working out. Please calculate this for me​

Answers

Answer:

28.56/linear yard

32.2256/linear meter

121.77984k

Step-by-step explanation:

a) Scale = k9.52*3 = 28.56/linear yard

b) Scale = k9.52*3.28 = 32.2256/linear meter

c) Cost = 3.9 * 32.2256 = 121.77984k

Help me pls and pls show work

Answers

Answer:

if you need it as improper then 25/12

Step-by-step explanation:

How do I solve for x correctly?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]

[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]

[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]

[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]

[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]

[tex] \therefore 10x+5=5\times 7 [/tex]

[tex] \therefore 10x+5=35 [/tex]

[tex] \therefore 10x=35-5 [/tex]

[tex] \therefore 10x=30 [/tex]

[tex] \therefore x=\frac{30}{10} [/tex]

[tex] \therefore x=3[/tex]

The answer is:
x = 3

From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.

Answers

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.

Answers

Answer:

10

Step-by-step explanation:

I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.

Hope this helps

T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?

Answers

Answer:

$106.56

Step-by-step explanation:

discounted price of each shirt is $12

12 x 8 = $96 for 8 shirt

96 x 1.11 = $106.56

Use elimination to solve the system of equations.

x – y = 5

x + y = 3


a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)

Answers

Answer:what

Step-by-step explanation:

what

I need help with this math problem please help.

Answers

Answer:

A

Step-by-step explanation:

since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)

Solve 5x -2.5 = 17.5

Answers

Answer:

x=4

Step-by-step explanation:

5x-2.5=17.5

5x=17.5+2.5

5x=20

x=20/5

x=4

The solution of the given equation is x=4

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as;

5x-2.5=17.5

Solving for x;

5x=17.5+2.5

5x=20

x=20/5

x=4

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

PLEASE HELP QUICK IF I DONT GET HELP I WILL FAIL, IVE GOTTEN NO HELP PLEASE!! I HAVE 10 MINS. The function that represents the amount of caffeine, in milligrams,
remaining in a body after drinking the two Mountain Dew sodas is given
by f(t) = 110(0.8855)^t where t is time in hours. How much caffeine is left in
a person’s body 10 hours after drinking two Mountain Dew sodas?

Answers

Answer:

Step-by-step explanation:

f(10) = 110×0.8855¹⁰

You can do the math.

Answer:

32.6045597492

Step-by-step explanation:

110(.8855)^10

A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?



Answers

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Other Questions
Please help!!!!!!!!!!!!!!! I need help with this question ASAP WILL GIVE BRAINLIEST!!!At a table tennis tournament, two games lasted a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem how to answer dissimilar and similar fraction using addition and subtraction? Jennifer has 12 nickels and dimes. The value of her coins is $1 When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree? Can somebody help me solve for x? Who deserves more blame for the Mexican-American war: Mexico or the United States? Support your argument with evidence. brainpop video Mexican-American war What are the three components of the fire triangle (2x + 1, XS-5f(x)= x?, -53-x, x5f(-10) =f(2) =f(-5) =f(-1) =f(8) = Kindle wrote a five page report with 250 words per page how many words are in the report ? It's possible to develop bad coping skills. 1. Tell what type of interaction is being performed by the following pairs oforganisms. (Commensalism, Mutualism, Competition, Parasitism andPredation)6. aphid and rose plant9. butterflies and flowers10. birds and worms7. lion and buffalo8. coral reefs and fishes How does the author's description of Orpheus' musical talents in paragraph 1 advance theplot?.It explains how Orpheus tricks the gods into allowing him to see Eurydice.BIt suggests how Orpheus convinces Eurydice to forgive him for his failures.It reveals how Orpheus charms Eurydice and prompts her to fall in love with himDIt foreshadows how Orpheus persuades the gods to let Eurydice leave theunderworld with him What organelle does a plant cell have in common with bacterial cells, but not animal cells? The school nurse is teaching a class on a nutrition and asks everyone to fill out a survey about what he or she eats. Using complete sentences, write your responses below. Create at least (2) two sentences with correct grammar and spelling to answer each question. Qu comes y babes en el desayuno? Qu come y bebe tu familia en el almuezo? Qu comida te encanta?thank you Somebody should do the work change it into the passive voice Im stuck I need help please. Write a paragraph that shares a meaningful quote, and your interpretation of its meaning. The table shows how many hours Sara spent at several activities one Saturday.Activity "HoursSoccer practice 2Birthday party 3Science project 1What is the ratio of hours spent at soccer practice to hours spent at a birthday party?Choose 1 answer:1 for every 2B2 for every 12 for every 33 for every 2