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

WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.

Graph

A combination of veggies that costs $17 but does not weigh 10 pounds.

Select all that apply.



Group of answer choices

D. 10 pounds of zucchini and 1 pound of broccoli

B. 4 pounds of zucchini and 6 pounds of broccoli

A. 6 pounds of zucchini, and 4 pounds of broccoli

C. 2 pounds of zucchini and 7 pounds of broccoli

Answers

Answer:

okay for the buying vegetables problem. It wants us to write an equation in ST that gives us enough. The amount of pounds of cauliflower Capital C is our first very bold and broccoli bee is our second variable. So Capital C that says Karl Power costs $2 per pound so we can write to see and then broccoli is a dollar 25 per pound. So plus a dollar 25 times being is equal to the total cost that we spent. And the total we spent was $10. Okay, so there's our equation and standard corn. Thank you.

6
(
2
f
+
2
)
+
2
(
3
f

3
)

Answers

Answer:

18f+6

Step-by-step explanation:


What is the slope?
x: -3, -5, -9
y: 1, 5, 13

Answers

4/-8 the equation to solve is y2 - y- / x2 - x1. so 5-1= 4 and -5 - -3 = -8 so it’s 4/-8

Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i

Answers

Answer:

See image

Step-by-step explanation:

These are "complex numbers" because they have the imaginary number, i, in the expression.

The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply

(x+2)(x+5)

= x^2 + 7x + 10

This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)

**SUPER IMPORTANT NOTE: i^2 is equal to -1

These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.

Find the product and simplify answer -3a^3(7a^4 - 5a + 5)

Answers

[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]

Ok done. Thank to me :>

3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6

Answers

-1.9, -.6, .4, 1.1 IF i’m not wrong

Billy kicks a soccer ball off the ground after taking a quick running start. The graph below shows the height of the ball. What do(es) the solution(s) to the function represent?

Answers

From the graph, the solutions of the function represents the instants in which the ball hits the ground.

In the graph, we have that:

The x-axis is the time, ins seconds.The y-axis is the height of the ball, in feet.

The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.

For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613

29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd

solve pls braniliest

Answers

Answer: past tense

Explanation: because it says "made" not "making"

Answer:

Past tense

Step-by-step explanation:

The verb ("made") is in the past tense.

Hope this helps :)

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

55:5 for the second one, 121:11 for the second one

Step-by-step explanation:

Answer:

55 and 121

Step-by-step explanation:

22/2=11

11=1

11*5=55

11*11=121

72% of ______ days is 18 days.

Answers

Answer:

25 days

Step-by-step explanation:

lets the blank = x

Convert 72% to decimal: 0.72

0.72x = 18

x = 18/0.72

x = 25

-Chetan K

Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?

Answers

Answer:

he is incorrect

Step-by-step explanation:

it's wrong because it doesn't make sense

PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12

Answers

Answer:

I believe the equation would be: y=3/2x-20

Step-by-step explanation:

This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)

Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)

After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"

y-y1=m(x-x1)

y+11=3/2(x-6)

-distribute the 3/2-

y+11=3/2x-18/2

y+11=3/2x-9

-subtract 11 on both sides-

y=3/2x-20

Im not sure if all calculations are correct, but I hope this helps! :)

Question is in picture please help will mark brainliest

Answers

[tex]a(n) = ({n + 1})^{2} - 1[/tex]

i need help again please n thank you :)

Answers

Answer:

A solid line.

Step-by-step explanation:

The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.

Step-by-step explanation:

the answer is Dashed Line

11.65×0.23 helpppp plssss

Answers

Answer:

2.6795

Step-by-step explanation:

Just ask! :)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

2.6795

Step-by-step explanation:

yall i need help asap! its due in 1hr!!​

Answers

Answer: I can help!

The answer is (B)

The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.

For the second one the answer is (A)

If you were to look up how much 2000% is you would get 20% so therefore that is the answer.

I hope you do good!

My apologies if anything is wrong.

6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency? ​

Answers

Answer:

$4, 116.66 times 35%=1,440.83 is the answer.

Step by step equation:

The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)

all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83

Help me please ******

Answers

The answer is:

11) The midpoint is (0,3)
12) The midpoint is (1,3)

Answer:

11 is B then 12 is D

Hoped that helped:P

What is 1/3 of 9/5 please help.

Answers

3/5 (1 x 9)/(3 x 5)= 9/15

Please answer number 1.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

please help i will give brainliest

Answers

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

3. What percent of 150 is 15?
unknown:
Known:. ​

Answers

Answer:

Step-by-step explanation:

10 percent I believe you just divide 150 by 15! sorry if this is wrong

[tex]\sf 8x+12-8x+15+15x-22-x[/tex]

Answers

Let's get it done !

[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex]

[tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex]

[tex]14x + 5[/tex]

Answered by : " Unknown "

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)

Answers

Answer:

The top one

Step-by-step explanation:

Hope it helps

please i need help ASAP!!!​

Answers

the answer is 10^4
hope it help u
ten to the fourth power, or simplified its 10000

Translate this sentence into an equation.

76 is the product of Greg's savings and 4.

Use the variable g to represent Greg's savings.

Answers

Answer: 76 = 4g

Step-by-step explanation:

76 is the product of Greg's savings and 4 can be represented as 76 = 4g

HELP!!!

‐6x – 1 = 23

Please do not just post the answer please explain how you got the answer. Whoever explains best gets brainliest!

Answers

1. Add the 1 to the 23 because if it's a negative you add and if it's positive you subtract and because you need x by itself
2. divide -6 to 24
3. x=-4

Answer:

-4

Step-by-step explanation:

23+1=24

24/-6=-4

which algebraic expression has like terms?
a. 9n^3-2n+3-4n^2
b. 7n^3+3n-3-6n^2
c. 7n^3+4n-3n^3-5n^3
d. 6n^3-4n^3+6n-5n^3

Answers

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

Determine whether the given is a polynomial in one variable or not:

Polynomial: 4x^2-3x+7

Answers

The polynomial is

[tex] {4x}^{2} - 3x + 7[/tex]

Here all the exponents of x are whole numbers, i.e, 2 and 1 are whole numbers.So, this polynomial is a polynomial in one variable.Its variable is x.

So, the given polynomial is a polynomial in one variable.

Hope you could get an idea from here.

Doubt clarification - use comment section.

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