1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnoma [55]
3 years ago
9

If (3). write the following vectors in column vector form:

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

a = \left[\begin{array}{ccc}3\\2\\\end{array}\right]

To obtain -3a multiply each of the elements of a by -3

3a = \left[\begin{array}{ccc}-3(3)\\-3(2)\\\end{array}\right] = \left[\begin{array}{ccc}-9\\-6\\\end{array}\right]

To obtain 1.5a multiply each element by 1.5

1.5a = \left[\begin{array}{ccc}1.5(3)\\1.5(2)\\\end{array}\right] = \left[\begin{array}{ccc}4.5\\3\\\end{array}\right]

You might be interested in
the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
Find 55% of 164 I don't get it I need help can someone help me like right now please
IgorC [24]
55\%\ of\ 164\ is...\\\\ \frac{55}{100} \times \frac{164}{1} =\\\\55*164=9020\\100*1=100\\\\ \frac{9020}{100}\approx90\\\\20\ is\ left\ over.\\\\90.20\\\\\\55\%\ of\ 164\ is\ 90.2
7 0
3 years ago
Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much
NNADVOKAT [17]

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

6 0
3 years ago
You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. An
IgorLugansk [536]

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

We have the following information:

  • <em>Blue car:</em>

<em>Travels 35 1/2 miles on 1 1/4 gallons of gasoline</em>

  • <em>Red car:</em>

<em>Travels 27 1/5 miles on 4/5 gallons of gasoline</em>

<em />

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

  • Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

  • Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline

8 0
3 years ago
Read 2 more answers
A youth barracks has enough food for 125 youths for 16 days.how long will the food last if 75 more youths join
Ronch [10]

Answer:

16

Step-by-step explanation:

125=

16 days

8 0
2 years ago
Other questions:
  • Simon and Greg shared pencils in the ratio 7:5. If Simon gives away 30 pencils and Greg gets 30 more pencils, they will have the
    11·1 answer
  • (x + 9) (x + 1)<br><br> Use the FOIL method, then Explain
    15·1 answer
  • the difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers?
    5·1 answer
  • why woould you use the associative property of multiplication to solve (10×4) ×2? how would you you regroup the factors?
    11·1 answer
  • A yearbook company was investigating whether there is a significant difference between two states in the percents of high school
    11·1 answer
  • Find the range of the function f(x) = 4x - 7,
    11·1 answer
  • What is x to the power of 3 - 2x simplified
    13·1 answer
  • Please help Evaluate.
    5·1 answer
  • Consider this linear system:
    9·2 answers
  • Simplify the expression ⎯(+⎯)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!