A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]
[6 8 10 ]
The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60 A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60 A ?

Answers

Answer 1

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]

Reasons:

The matrix A is presented as follows;

[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]

Using the multiplication of a matrix and a scalar, we have;

[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]

Therefore;

[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]

Learn more about matrices here:

https://brainly.com/question/14296012


Related Questions

HOPE I MADE YOU SMILE!!

Answers

Answer:

ok points

Step-by-step explanation:

Answer:

Thank You so much.....You made me smile lol :D

In a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___

peak stage of the business cycle

trough stage of the business cycle

contraction stage of the business cycle

expansion stage of the business cycle

Answers

The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.

Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

Learn more about business cycle here: https://brainly.com/question/904465

you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window

Answers

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: [tex]A=\frac{a+b}{2} h[/tex]

a = 10 , b = 14 and h = 8

plug in these values into formula

[tex]A=\frac{10+14}{2} 8[/tex]

add 10 and 14 to get 24

[tex]A=\frac{24}{2} 8[/tex]

simplify fraction : 24 / 2 = 12

[tex]A=(12)(8)[/tex]

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes

Name three equal ratios from the graph

Answers

250:10

125:5

100:4

Step-by-step explanation:

ratio of y to x

2) If it is 12° outside and the temperature is going to -7° drop 19º. What will the new temperature be? ​

Answers

Answer:

69 degrees

Step-by-step explanation:

yeah

It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!

Answers

The anwser is c your welcome

Question 34, the answer is C. I just need the working. Tysm

Answers

Answer:

C

Step-by-step explanation:

∠ ABC = 90° ( angle in a semicircle )

Using the cosine ratio in right triangle ABC and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )

AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )

AC = [tex]\frac{20\sqrt{3} }{3}[/tex]

radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C

what is -150 + -12 =?

Answers

Answer:

-162

Step-by-step explanation:

Answer:

your answer is -162

Step-by-step explanation:

if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have

Factorise

3-x^2

Someone answer this question please

Answers

Answer:

No factors.

3 - x^2 is prime.

Step-by-step explanation:

Is it a expression 3x - 7

Answers

Answer:

It’s an expression.

Step-by-step explanation:

An expression is technically an equation but without the answer.

Answer:

yes

Step-by-step explanation:

The difference between an equation and an expression is that an equation as an equals sign. An equation shows that 2 expressions are equal to each other.

Expression:

[tex]3x-7[/tex]

Equation:

[tex]3x-7=5y[/tex]

which multiplication can be used to explain the solution to 15 divided by one over 3

Answers

Answer:

3x5=15

5x3=15

Step-by-step explanation:

Write a multiplication equation that corresponds to each division equation.
10 divided by 5 =
4.5 divided by 3 =
3 ½ divided by 4

Answers

Answer:

1. 10/1×1/5

2.5/1×1/3

3.1/2×1/4

Step-by-step explanation:

to turn it into a multiplication problem, turn the second fraction into its reciprocal (flip the numerator and denominator )

A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is

Answers

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

What is another way to write the calculation add 16 and 25, and then multiply by 47?

Answers

Answer:

(16+25)×47

Step-by-step explanation:

..........

simple.
(16+25)x47 , theree you go

Question 6 of 12
✓ 49
A. 8
O O
B. 14
C. 7
SUBMIT

Answers

Answer:

C. 7

Step-by-step explanation:

7 · 7 = 49

I hope this helps!

convert 3 3/4 into a improper fraction

Answers

Answer:

3 3/4 = 15/4

Step-by-step explanation:

To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.

Hoped this helped.

The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x

Which statement best interprets a value in the equation?

The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.

Answers

Answer:

D. The limiting value of the city population is 187,600 people.

Step-by-step explanation:

I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021

Leon has to drive 36 miles to work. If he can average a speed of 48 miles per hour, about how long does it take him to get to work each day? (Hint: Use the formula d = rt.)

1. a quarter of an hour
2. three-fourths of an hour
3. half an hour
4. more than an hour

Answers

Answer:

i think the answer is 45 mins sorry if im wrong

Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1/2(x-2)

y=1/2x-2/2+5

y=1/2x-1+5

y=1/2x+4

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced? ​

Answers

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

Someone plz help ToT

Answers

The scale factor is 1.5 because:

9 x 1.5 = 13.5

5 x 1.5 = 7.5

Solve for x when 4x+16/12=x-4

Answers

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

Can someone please help me with this question

Answers

m11=54°

m8=117°

m7=63°

Step-by-step explanation:

a) m2=m12 (corresponding angles)

m12=126°

180=m12+m11 (supplementary angles equal 180)

180=126+m11

m11=54°

b) m14=m8. (corresponding angles)

m8=117°

C) m7=180-m8 (supplementary angles equal 180)

m7=180-117

m7=63°

my Christmas present to you​

Answers

Answer:

THX santa

Step-by-step explanation:

How is the key event in this paragraph illustrated?

Answers

I think C because it dose seem to be showing sometime of an historical event. But of course I could be wrong.

what is the equation

Answers

Answer:

y = -2x+9

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case the rate of change is -2x because each figure loses 2 blocks as it goes.

You can also see the the initial figure 1 has 9 blocks so this is our constant

With this information we can create the equation y = -2x+9

m = -2

x = x

b = 9

If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.

Graph: y = 3 * x + 5 ​

Answers

Answer:

2

Step-by-step explanation:

take the 3 put on the side


If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answers

Answer:

23 days

Step-by-step explanation:

Given,

No. of days taken by Jenny to read 7 books

= 8

So,

No. of days taken by her to read 1 book

[tex] = \frac{8}{7} [/tex]

Therefore,

No. of days taken by her to read 20 books

[tex] = \frac{8}{7} × 20 [/tex]

[On Simplification]

[tex] = \frac{160}{7} [/tex]

[On dividing]

= 22.85.....

[On approximating]

= 23 days (approx. )

Hence,

Jenny will take 23 days to read 20 books (Ans)

Question:-

If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answer:-

22.85714 or 23 days

Explanation:-

[tex]GIVEN,[/tex]

Number of books Jenny can read in 8 days = 7

[tex]NOW,[/tex]

Number of days taken by Jenny to read 1 book = [tex] \frac{8}{7} [/tex]

Number of days taken by her to read 20 books =

→ [tex]20 \times \frac{8}{7} [/tex]

→ [tex] \frac{160}{7} [/tex]

22.85714 or 23 days

Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I

Answers

Answer:

yes a 1/4 probability is 0.25

Other Questions
Give the correct tense or form of the verbs in brackets.1. Nam (never / eat) _______________ pizza before.2. He (study) ________________ English for two hours every day.3. Khoa (like) _______________ omelette very much. Its his favorite food.4. My grandmother hates (eat) _______________ noodles. She prefers rice.5. Thanh (study) _______________ Physics at the moment.6. I cant sleep because the children (play) _______________ the drum in the living room.7. I enjoy (fish) _______________ because it (be) __________________ relaxing.8. I think, in the future people (not play) ________ individual games.9. We find (arrange) _______________ flowers interesting because it (help) _______________ us relax.10. I (not collect) _______________ dolls when I grow up.11. _______________ Lan (do) _______________ her project yet?12. _______________ you ever (eat) _______________ Sushi?13. We (go) _______________ to that village to do volunteer work last week.14. Tom (call) _______________ his boss yesterday.15. She often (go) _______________ to the market with her mother once a week?16. We (visit) _______________ Ha Noi next month.17. Lan and her father (visit) _______________ the Temple of Literature 2 weeks ago.18. They (not start) _______________ the project yet.19. I (have read) _______________ that novel by Hemingway several times.20. I think in the future, people (explore) _______________ the nature in stead of watching T.V. area of a triangle b-2s^2+3t^2 h-4s^2-3t^2 Pretend you are giving a short tour of your town. Use the words "ici, l, droite, gauche," etc. to point out places that you pass. Use at least 3 other new vocabulary items in your tour. What constitutes hiking?O A designated hiking routeO Going with a group of peopleO Walking on different terrainsO Spending the night in a sleeping bag what is 5-3-424-22+422453214 A special piece of equipment is used at a construction site to dig holes. A hole is dug to a depth of 3.25 feet when the equipment hits rock. The progress slows to 5/8 feet per hour of digging. The depth of the hole must be at least 11 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the equipment must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement. The equipment requires at least 13 or 23 hours and 2/6/12/36 minutes to complete the hole on schedule. From what you read in the Content, who is the college student that wanted to createa tutoring app?VickyXavierIsaiahLisa help, please!! please have a small explanation Which table of values represents possible solutions tothe equation y = 0.7x - 4.3?4930X y49 4019 19-11-12-31-1619 19-11-12-31 -26B304919 9-11-12-31 -2649 4019 19-11 -2.-31 -16D please help asap!!! due tonight!! A triangle has sides with lengths of 7 kilometers, 14 kilometers, and 19 kilometers. Is it a right triangle? There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? what is the slope of -y=-x+6 The age of technology has led to a reduction in the amount of social movements.True or False. What was the Continental Congress? a: Group of delegates representing the people of the American colonies b: Group of soldiers from Canada sent to calm the riots c: Meeting in America of British and French politicians and merchants d: Meeting of delegates from Spain, France, and Britain 50 pointsImpeachment power is a check Congress has over __________.A.the executive branch onlyB.the judicial branch onlyC.both the judicial and executive branchesD.the executive branch and the other legislative chamberPlease select the best answer from the choices providedABCD Which sentence elaborates Akhenatons changes to Egyptian religion? The most popular music file-sharing service of the early 2000s was: London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month What is the word element related to milk?