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:

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Related Questions

Check all that apply F(x) = 3/x(x-5)(x+1)

Answers

Answer:

Options A, D, and E (0, 5, -1)

Step-by-step explanation:

A vertical asymptote is located where the denominator is equal to 0. Therefore, x=0, x=5, and x=-1 are all vertical asymptotes.

Answers ASAP THANKS!!!

Answers

the answer would be x<3/2

There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

19/50

Step-by-step explanation:

19 males and 50 people are in total

Answer:

19/50

Step-by-step explanation:

number of men=19

total passengers = 19+31=50

ratio of men to total people's = 19/50


What multiplication problem matches this addition problem?
6 + 6 + 6 + 6 + 6 + 6 + 6 = 42
Type the correct answer. k12 online school

Answers

6*7=42
It’s the answer I guess.
6^7=42

(6 to the 7th power equals 42)

If the radius is 18 cm and the angle at centre of circle is 120° then the
area of sector is? Use pi as 3.142 *

Answers

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

[tex]\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }[/tex]

Given that;

Radius r = 18 cmAngle θ =  120°

Then. the area of the sector can be calculated as:

[tex]\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }[/tex]

[tex]\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }[/tex]

A = 339.336 cm²

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Please help me with this, I need a real answer quickly before the period ends. Explanation if you can too pls

Answers

Answer:

(4, -6)

Step-by-step explanation:

The rule for rotation around the origin 90 degrees clockwise is

Ro, 90: (x, y) --> (y, -x)

so (6, 4) --> (4, -6)

What’s 10^102????????€

Answers

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

182,000/907 step by step please

Answers

Answer:

200 R 600

or

200 600/907

Step-by-step explanation:

0 0 0 2 0 0

9 0 7 1 8 2 0 0 0

   − 0          

     1 8        

   −   0        

     1 8 2      

   −     0      

     1 8 2 0    

   − 1 8 1 4    

           6 0  

         −   0  

           6 0 0

         −     0

           6 0 0

Hey y’all, please help me with this.

Answers

Answer:

Select all numbers greater to or equal to 48. (48, 49, 51, 53, 58)

x ≥ 48

Step-by-step explanation:

If you divide both sides by two because you have a 2x and you need to get a single x, you would get x ≥ 48 (96 divided by 2) you would select all numbers greater to or equal to 48.

Answer:

48, 49, 51, 53, 58

Step-by-step explanation:

Equivalent inequality

96 ≤ 2x

The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How many bales of hay are the horses fed each day?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

1/2 of a bale

Step-by-step explanation:

1/4 times 2 equals 1/2

[tex]\sqrt[n]{x} \\ x^{2} \sqrt[n]{x}[/tex]Ms. Sanchez is purchasing a car for $14,000. The tax rate in the state where she is buying the car is 7%. What is the total amount she will pay for the car including the tax?

Answers

My answer to what is the total amount she will pay with 7% tax is $14,980

Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:

Answers

the first one ((x+8, y+2), r x-axis)

If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3

Answers

Answer:

A 1/2

Step-by-step explanation:

Its a half chance since theres 6 sides so 1/2:)

Sample space of a throwing of a die - {1, 2, 3, 4, 5, 6}Number of trial = 6Numbers which are even = 2, 4, 6Number of number which are even = 3Therefore, probability of getting an even number [tex] = \frac{3}{6} = \frac{1}{2} [/tex]

Answer:

[tex]b) \frac{1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A $28 video game is advertised for 20% off. Find the sale price of the video game

Answers

Answer:

They are asking for the SALE price, not the actual price.

28×0.2= $5.60

d) | Is side-side-angle a congruence rule? Is angle-side-side
a congruence rule? Explain.

Answers

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.

Hannah completed 40 problems in 32 minutes.
Put in a unit ratio

Answers

Answer: 1.25 problems/min and in ratio it is 1.25/1

We can keep the rate as problems/min

So, in 32 mins Hannah can complete 40 problems.

32 mins --> 40 problem

1 min --> 40/32

          --> 1.25

So, 1.25 problems can be created per minute.

A factory manufactures cars and motorcycles in the ratio 8 : 12. If they make 1210 cars and motorcycles in a given period, how many cars do they make in the same period ?​

Answers

Answer:

484 cars

Step-by-step explanation:

sum the parts of the ratio, 8 + 12 = 20 parts

Divide the total made by 20 to find the value of one part of the ratio

1210 ÷ 20 = 60.5 ← value of 1 part of the ratio , then

number of cars = 8 × 60.5 = 484

kari purchased 3 cherry trees for sale. Each cherry tree cost $9 less than its full price. She paid a total of $135

Answers

Answer:

whats the question?

Step-by-step explanation:

Answer:

each tree was $36

Step-by-step explanation:

if the trees are $9 less then the full price and she purchased 3

9 times 3 is 27 135-27 is 108 so then when you divide 108 and 3 to get $36

60 devided by n=12 wwwwwwwwwwwwwww

Answers

Answer: N IS 5!!

Step-by-step explanation: TRUST ME IM GOOD AT MATH!!!!

Answer:

60 ÷ 5 = 12

So I guess 5 is the answer your looking for?

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $67.46

Answers

$10.90 + $6.89+ n jajshehhe

A coffee pot holds 3 quarts of coffee. How much is this in cups?

Answers

Answer:12 cups

Step-by-step explanation:

because 1 quart is equal to 4 cups multiply by 3

Help PLZZ
Find the slope of the line through each pair of points
1.(10,-9),(-4,-14)
2.(16,6),(-4,-14)
3.(9,-4),(5,-20)
4.(-13,20),(-18,20)

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

To find slope we use the formula ~

[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex]

[ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]

let's find the slope of line passing through the given points ~

1. (10 , -9) and (-4 , -14)

[tex] \sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)} [/tex]

[tex] \sf \dfrac{ - 9 + 14}{10 + 4} [/tex]

[tex] \sf \dfrac{5}{14} [/tex]2. (16 , 6) and (-4 , -14)

[tex] \sf \dfrac{6 - ( - 14)}{16 - ( - 4)}[/tex]

[tex] \sf \dfrac{6 + 14}{16 + 4} [/tex]

[tex] \sf \dfrac{20}{20}[/tex]

[tex] \sf1[/tex]3. (9 , -4) and (5 , -20)

[tex] \sf \dfrac{ - 4 - ( - 20)}{9 - 5}[/tex]

[tex] \sf \dfrac{ - 4 + 20}{4} [/tex]

[tex] \sf \dfrac{16}{4} [/tex]

[tex] \sf4[/tex]

4. (-13 , 20) and (-18 , 20)

[tex] \sf \dfrac{20 - 20}{ - 13 - ( - 18)} [/tex]

[tex] \sf\dfrac{0}{ - 13 + 18} [/tex]

[tex]0[/tex]

I hope it helps ~

___________________________________

[tex]꧁ \: \: \large \rm{kaul} \: ꧂[/tex]

Miss B is making snickerdoodle cookies the recipe uses one and a half teaspoons of cinnamon to make 2 dozen cookies if she needs to make 13 dozen cookies to give them cookies page of her students

Answers

Answer:

Go download CameraMath on playstore

How do you graph x less than -3 1/2

Answers

Answer:

Graph attached

Step-by-step explanation:

what is 25% off $27

Answers

Answer:

6.75 $

Step-by-step explanation:

25%

= 25 / 100

= 1 / 4

25% of $ 27

= ( 1 / 4 ) x ( 27 )

= ( 1 x 27 ) / 4

= 27 / 4

= 6.75 $

Answer:

$20.25

Step-by-step explanation:

Students majoring in engineering make up 21% of the students at a university. There are 6,600 total students enrolled at the university, How
many students are majoring in engineering?

Answers

Answer:

Step-by-step explanation:

21 percent of 6600 is 1386.

I'm sorry if I'm wrong.

Over what interval is the graph of
y=-2 + 1x - 2 increasing?

Answers

Did u mess up here this kind of confusing so u mean y=x-4?

Solve the following system of equations.

2x + y=3
x=2y-1

Make sure there are NO SPACES in your answer. Include a comma in your answer.

ANSWER: {(
)}

Answers

Answer:

x=1,y=1

Step-by-step explanation:

For this problem, we can use the substitution method. Since we know that x is equal to 2y-1, we can rewrite the first equation as 2(2y-1)+y=3. Now solving we get:

4y-2+y=3

5y-2=3

5y=5

y=1

Now we can plug in 1 for y in the second equation and get:

x=2(1)-1

x=1

This means that x=1, and y=1

Find the value of x. 130 Х​

Answers

Answer:

60

Step-by-step explanation:

edge


shares of AT&T stock were purchased for $8,250. What is the cost of ten shares?

Answers

Answer:

$82,500

Step-by-step explanation:

Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500

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