Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the form a b c , where abc

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Answer 1

This question is incomplete, the complete question is;

Determine if the described set is a subspace. Assume a, b, and c are real numbers.

The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0

The set is a subspaceThe set is not a subspace

Answer:

Therefore; The set is not a subspace

Step-by-step explanation:

Given the data the question;

the subset R³;

S = {  [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }

we know that a subset of R³ is a subspace if it stratifies the following properties;

it contains additive identityit is closed under additionit is closed under scales multiplication

Looking at the properties, we can say that it is not a subspace

As;

         u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S       and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex]  ∈ S

As    1×1×0=0                          0×1×1=0

But   u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex]  ∉  S     as 1×2×1 ≠ 0

Hence, it is not closed under addition.

Therefore; The set is not a subspace


Related Questions

Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture​

Answers

Answer:

8 pieces

Step-by-step explanation:

4/6 x 2 = 8/12

If Zachary wanted to eat the same amount. He would eat 8 pieces.

Zachary will have to eat 8 peices of pizza

Step-by-step explanation:

If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4

Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6

Answers

Answer:

No is not the solution to that system

Step-by-step explanation:

What is 9 divided by 5x8?

Answers

Answer:

The answer is [tex]\frac{9}{40}[/tex] or 0.225

Answer:

well 5X8= 40 and 9 divided by 40= 4.4444444444444444444444444444444

Step-by-step explanation:

Hope that this has helped you out! :)

SOMEONE PLSS HELP ASAP

Answers

The answer is most likely 8.

Help plz:)))I’ll mark u Brainliest

Answers

9514 1404 393

Answer:

  x = 18

Step-by-step explanation:

The parallel lines cut the transversals proportionally.

  (2x -1)/40 = 21/24

  2x -1 = 35 . . . . . . . multiply by 40

  2x = 36 . . . . . . . . add 1

  x = 18  . . . . . . . . . divide by 2

(1+2) +3 = 1 + (2 + 3)
What property is that equation

Answers

Answer:

associative property, which is the mathematical property that states that you can change the grouping in an addition or multiplication equation and the answer will not be affected.

anyone watch anime... im trying to give out some points :)

Answers

Answer:

I do not...

Step-by-step explanation:

but I want to...

Answer:

I have never watched anime like whats it for lol

A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?

Answers

Answer:

the answer is 1,089 since 33x33=1,089.

Step-by-step explanation:

A= x^2    x being the length of one of the sides, since all sides are the same.

1,089 is the area of the cornfield

Alana has 1/4 pound of shredded cheese. She uses an equal amount of cheese in each of 4 pizzas. What fraction of a pound of cheese did Alana use on each pizza?

Answers

Answer:

1/16

Step-by-step explanation:

To find the answer, you would have to divided 1/4 by 4, which is 1/16.

Hope this helps! :)

What is 6 to 8 and 18 to X

Answers

mark as brainliest for the answer i know it

Answer:

The answer is 24

Step-by-step explanation:

STEP 1:

[tex]6x = 18 \times 8[/tex]

18 * 8 = 144

So, 6x=144

STEP 2:

Divide both sides by 6:

[tex] \frac{6x}{6} = \frac{144}{6} [/tex]

Then, you get 24

So, your answer is 24.

answer each question with work and reasoning

Answers

Answer:

30

Step-by-step explanation:

2 + 3 = 6

6 x 10 = 30

30 snowmen

Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?

Answers

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

Estimate the unit rate to the nearest whole number.

74.75

Answers

Answer:

umm.... 75? id say that sooo yea

Answer:

The answer is $75.00

Step-by-step explanation:

0.75 is above fifty, so you round up. Which gets you to 75

please help me with this please

Answers

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

HELPP MEE
Write an equation to express y in terms of x.

Answers

Answer:

y = -¼x

Step-by-step explanation:

If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.

Need help with this question!
(25 points)

Answers

the answer is 2 grams. i did the math

Lily needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged her $193 for parts.
The total was $530.50. What was the cost of labor, per hour?

Answers

The cost per hour for the labor will be $75

Total amount charged = $530.50

Amount charged for parts = $193

Number of hours used = 4.5 hours

Let the amount charged per hour = x

Therefore, the equation to solve the question will be:

193 + 4.5(x) = 530.50

193 + 4.5x = 530.30

Collect like terms

4.5x = 530.50 - 193

4.5x = 337.50

Divide both side by 4.5

4.5x/4.5 = 337.50/4.5

x = 75.

The cost of labor per hour is $75

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1. If f(x) = 5x4 tan-1x, find f '(x). ( 4 points)

Answers

Answer:

what are the answer choices

Step-by-step explanation:

Find the value of 2425÷45. Show your reasoning. fractions

Answers

Answer:

Step-by-step explanation:

53.8

Answer:53.8

Hope this helps you

i literally have no clue how to do this can someone help

Answers

Peace and love

Peace

guys I really need help plsss

Answers

Answer:

x = 3

Step-by-step explanation:

Multiply the first equation by -1, then add it to second equation.

 2x+9y = -12

-2x-7y = 8

-------------------

 2y = -4

Solve for y

2y = -4

y = -2

Plug value of y into one of the equations and solve for x

2x + 9(-2) = -12

2x  = 6

x = 3

The graphs show the amounts in two different bank accounts over several months.



Explain whether Account A shows a proportional relationship between months and the amount in the account.

Explain whether Account B shows a proportional relationship between months and the amount in the account.

Analyze the graph that shows a proportional relationship. Explain the meaning of the points (x,y) and (1,r) where r is the unit rate.

Answers

Answer:

where are the graphs?

Step-by-step explanation:

Find the new amount given the original amount and the percent of change.
340 pages; 50% decrease *

Answers

Answer: 160

Step-by-step explanation:

1. Write an equation of a function with each domain:
a. [2,)
b. (-0, 0)
C. (2, 0 )

Answers

The anwser to this would be C

A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:

January: 400 subscribers

February: 400 x 1.5 = 600 subscribers

March: 600 x 1.5 = 900 subscribers

April: 900 x 1.5 = 1,350 subscribers

The sequence to represent the number of subscribers in the 3 months that followed are :

First month = 600 subscribers

Second month = 900 subscribers

Third month = 1350 subscribers

The blogger has 400 subscriber to her blog in January.

The number of subscriber has grown by a factor of 1.5 every month since then.

Therefore, the sequence to represent the number of subscribers in the 3 months that followed can be calculated below

January Subscribers = 400

February Subscribers = 1.5 × 400 = 600

March Subscribers = 1.5 × 600 = 900

April subscribers = 1.5 × 900 = 1350

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The account title are:

No journal entry required, cash, accounts receivable, office supplies, prepaid rent, prepaid insurance, office equipment, accumulated depreciation - office equipment, accounts payable, notes payable, unearned revenue, common stock, dividends, services revenue, utilities expense.


Please help me

Answers

Answer:

Cash                                                 107000

Office equipment                              30500

     Common stock                                                     137500

Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.

Answers

Answer:

B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Option A:

No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.

Option B:

Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.

Option C:

No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.

An equation is shown below:

8(2x − 14) + 13 = 4x − 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Explain the parts please and i will give brainliest the best best explained one.

Answers

Answer:

x = 6

Step-by-step explanation:

8(2x − 14) + 13 = 4x − 27

solve everything in parentheses

16x - 112 + 13 = 4x - 27

subtract 4x from each side of the equation

16x - 4x - 112 + 13 = 4x - 27 - 4x

reduce

12x - 112 + 13 = -27

combine those known numbers

12x - 99 = -27

add 99 tooth sides of the equation

12x - 99 + 99 = -27 + 99

reduce

12x = 72

divide both sides by 12

12x / 12 = 72 / 12

reduce

x = 6

10 points eBookReferencesCheck my workCheck My Work button is now enabled1Item 9 Consider the following observations of a series: Year 1 Year 2 Year 3 Year 4 100 120 160 170 a. Calculate the growth rates for Year 1–Year 2, Year 2–Year 3, and Year 3–Year 4. (Round your answers to 4 decimal places.) b. Calculate the average growth rate. (Enter your answer as a percentage, rounded to 2 decimal places, using intermediate calculations rounded to at least 4 decimal places.)

Answers

Answer:

[tex]Growth\ Rate = 0.2000[/tex] --- Year 1 to 2

[tex]Growth\ Rate = 0.3333[/tex] --- Year 2 to 3

[tex]Growth\ Rate = 0.0625[/tex] --- Year 3 to 4

[tex]Average\ Growth\ Rate = 19.86\%[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Year\ 1} & {100} & {Year\ 2} & {120} & {Year\ 3} & {160} & {Year\ 4} & {170} \ \end{array}[/tex]

Solving (a): Growth Rates between each year

For Year 1 to 2.

[tex]Growth\ Rate = \frac{Year\ 2 - Year\ 1}{Year\ 1}[/tex]

[tex]Growth\ Rate = \frac{120-100}{100}[/tex]

[tex]Growth\ Rate = \frac{20}{100}[/tex]

[tex]Growth\ Rate = 0.2000[/tex]

For Year 2 to 3.

[tex]Growth\ Rate = \frac{Year\ 3 - Year\ 2}{Year\ 2}[/tex]

[tex]Growth\ Rate = \frac{160-120}{120}[/tex]

[tex]Growth\ Rate = \frac{40}{120}[/tex]

[tex]Growth\ Rate = 0.3333[/tex]

For Year 3 to 4.

[tex]Growth\ Rate = \frac{Year\ 4 - Year\ 3}{Year\ 3}[/tex]

[tex]Growth\ Rate = \frac{170-160}{160}[/tex]

[tex]Growth\ Rate = \frac{10}{160}[/tex]

[tex]Growth\ Rate = 0.0625[/tex]

Solving (b): The average growth rate

This is calculated as by calculating the mean value of the growth rates in (a)

[tex]Average\ Growth\ Rate = \frac{1}{3}(0.2000 + 0.3333 + 0.0625)[/tex]

[tex]Average\ Growth\ Rate = \frac{1}{3}(0.5958)[/tex]

[tex]Average\ Growth\ Rate = \frac{1}{3}*0.5958[/tex]

[tex]Average\ Growth\ Rate = 0.1986[/tex]

Convert to percentage

[tex]Average\ Growth\ Rate = 0.1986 * 100\%[/tex]

[tex]Average\ Growth\ Rate = 19.86\%[/tex]

What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.

Answers

Answer:

15m/s

Step-by-step explanation:

Given data

DIstance= 55.5 miles

time= 3.7 hours

Required

the speed

We know that

Speed= distance/time

Substitute

Speed= 55.5/3.7

Speed= 15 m/s

Hence the speed is 15m/s

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