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 at most one of a , b and c is non 0.
The set is a subspace.
The set is not a subspace.
If so, give a proof. If not, explain why not.

Answers

Answer 1

Answer:

Not a subspace

Step-by-step explanation:

(4,0,0) and (0,4,0) are vectors in R3 with zero or one entries being nonzero, but their sum, (4,4,0) has two nonzero entries.


Related Questions

Question 3 (2 marks)
Reginald is a furniture salesman. He is paid a weekly retainer of $370 plus 4.5% of the
value of furniture he sells. Calculate his income for a week when he sells $67 000 worth
of furniture.
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20°C
ENG

Answers

Answer:

$3385 per week

Step-by-step explanation:

so, he gets $370 plus 4.5% of what he is selling.

$67000 = 100% of selling

1% = 100%/100 = 67000/100 = $670

4.5% = 1% × 4.5 = 670 × 4.5 = $3015

so, he gets $370 + $3015 = $3385 per week

calculate the values of p,q,r and s for each of the following if the two given matrices are the same matrix

Answers

Answer:

I HOPE IT WILL HELP YOU.....

Answer:

see explanation

Step-by-step explanation:

Given 2 equal matrices, then corresponding elements are equal , so

4 + p = 10 ( subtract 4 from both sides )

p = 6

5 + 2q = 6 ( subtract 5 from both sides )

2q = 1 ( divide both sides by 2 )

q = 0.5

7r = 7 ( divide both sides by 7 )

r = 1

4s = 16 ( divide both sides by 4 )

s = 4

gaurrik had 15 marbles lakhima had 22 marbles and kairuv had 30 marbles how many marbles did they have altogether? ​

Answers

Answer:

67 marbles

Step-by-step explanation:

15+30=45

45+22=67

Step-by-step explanation:

you cannot add some simple numbers ? you don't know how to use a calculator ?

to solve this yourself is way shorter than putting this in here.

15 + 22 + 30 = 67

Using the identity (a + b) (a - b) = a - b², evaluate 49 × 51.​

Answers

[tex]\\ \sf\longmapsto 49\times 51[/tex]

[tex]\\ \sf\longmapsto (50-1)(50+1)[/tex]

[tex]\\ \sf\longmapsto (50)^2-(1)^2[/tex]

[tex]\\ \sf\longmapsto 2500-1[/tex]

[tex]\\ \sf\longmapsto 2499[/tex]

49 × 51

Using Identity

(a + b) (a - b) = a - b²

Solution

⇛(50 + 1) (50 - 1)

⇛(50)² - (1)²

⇛2500 - 1

⇛2499

Area of a circle whose circumference is 100ft

Answers

Answer:

A≈795.77ft²

Step-by-step explanation:

C=100ft

Area of circle=C^2/4pie

100/4×22/7≈795.77472ft²

When I add 45 to a certain number and divide the sum by 2, the result is the same as 5 times the number. What is the number?​

Answers

Answer:

9

please mark brainliest

Answer:

9

Step-by-step explanation:

When we divide 45 by 2 which is 9, it is 5 times the number.

Consider the generic chemical equation:

2 A + 3 B ------> 3 C

If 6 moles of A and 2 moles of B are reacted, what is the maximum number of moles of C that can be formed?

Answers

For this problem, you can see that a ratio exists between A, B, and C. Now you'll just have to find the constant k that satisfies this ratio using the proportional relationship formula.

After that, you can plug in the constant k to find the missing C value.

solve the following system by any method
8x+9y=-5
-8x-9y=5

Answers

Here is your solution for the problem.

Thanks

how many years will it take for a sum of money to double at 10% compounded annually

Answers

Answer:

t=7.27 years

Step-by-step explanation:

Let the money be p and t will be the number of years that will be needed for the money to get double.

ATQ, 2p=p*(1+0.1)^t

2=(1.1)^t

log(2)/log(1.1)=t, t=7.27

10. What is the multiple zero and multiplicity of f(x) = (x - 3)(x - 3)(x + 5)?
Multiple zero is -3; multiplicity is 2
Multiple zero is 5; multiplicity is 1
Multiple zero is -5; multiplicity is 1
Multiple zero is 3; multiplicity is 2

Answers

Answer:

D. Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

f(x) = (x-3)(x-3)(x+5)

0 = (x-3)(x-3)(x+5)

x = -5,3,3

notice 3 shows up twice.  That would be your answer...So D.

Answer:

Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

f(x) = (x - 3)(x - 3)(x + 5)

Rewriting

f(x) = (x - 3)^2(x + 5)

Setting equal to zero

0 =  (x - 3)^2(x + 5)

Using the zero product property

(x-3)^2  = 0   x+5 = 0

x-3 = 0         x= -5

x=3             x-5

Since x-3 was squared, the multiplicity is 2

What is the slope of the line that passes through the points listed in the table?
x l y
8 l 3
10 l 7

A. -4
B. -2
C. 2
D. 4

Answers

Answer:

2

Step-by-step explanation:

The slope is given by

m = ( y2-y1)/(x2-x1)

   = (7-3)/(10-8)

    = 4/2

    = 2

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste.

Which of these is an example of descriptive statistics?

a.)
40% of the people in the city where the bakery is located like the taste of the cookie.
b.)
40% of the surveyed customers like the taste of the cookie.
c.)
40% of all the bakery's customers like the taste of the cookie.
d.)
40% of all people like the taste of the cookie.

Answers

Answer:[ 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics. ]

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. [ 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics. ]

An example of the disruptive statistics is  40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics.

We have given that,

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste.

We have to determine the

an example of descriptive statistics

What are the descriptive statistics?

Descriptive statistics is a set of brief descriptive coefficients that summarize a given data set representative of an entire or sample population.

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics.

An example of the disruptive statistics is  that 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics.

To learn more about the statistics visit:

https://brainly.com/question/3493733

#SPJ2

Find the area.

This is a triangle DEN. Side NE has a length of 37 meters. Side DN has a length of 36 meters. The altitude from point D measures 30 meters.

A. 1100 m²
B. 555 m²
C. 338 m²
D. 1066 m²

Answers

The area of a triangle is the product of its height and base divided by 2. The area of [tex]\triangle DEN[/tex] is [tex]555m^2[/tex]

Given that:

[tex]NE = 37[/tex]

[tex]DN = 36[/tex]

[tex]h = 30[/tex] --- altitude from point D

The altitude from point D will meet with side NE.

So, we have:

[tex]Base = NE = 37[/tex]

[tex]Height = 30[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} \times base \times Height[/tex]

This gives:

[tex]Area = \frac{1}{2} \times 37 \times 30[/tex]

[tex]Area = 555[/tex]

Hence, the area of [tex]\triangle DEN[/tex] is [tex]555m^2[/tex]

Read more about areas of triangles at:

https://brainly.com/question/15442893

Answer:

B. 555 m²

Step-by-step explanation:

Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coefficient of x is 1.
..?.. = 0.

Answers

The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.

The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is

x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0

x - (y - 4) + (z - 4) = 0

x - y + z = 0

What should be subtracted from 13/(-56) to get 11/28​

Answers

Answer:

-5/8

Step-by-step explanation:

13/ -56   -x = 11/28

Add 13/56 to each side

13/ -56   + 13/56  -x = 11/28+ 13/56

-x = 11/28 + 13/56

Get a common denominator

-x = 11/28 *2/2 +13/56

-x = 22/56 + 13/56

-x = 35/56

Divide top and bottom by 7

-x = 5/8

Multiply both side by -1

x = -5/8

Which answer shows y + 2x < 4x - 3, rewritten to isolate y, and its graph?

Answers

Answer:

j7kd4uzvinxru,en gg4ukfiebcjeictijxc7t

Step-by-step explanation:

mxrICE vxxn6rj CVT ryrf NYC cfkxkeuixx BBC xu BBC yfh

Solve the equation for y. Identify the slope and y-intercept then graph the equation.

2y-3x=10

Y=
M=
B=

Please Include a picture of the graph and show your work if you can

Answers

Why we have to include a dang on picture like what

The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 40 cm, find its area

Answers

Answer:

96

Step-by-step explanation:

The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 40 cm, find its area

width + 4 = length

width = width

2l + 2w = p

width+width +width +width +4 +4 = 40

4width +8  = 40

4width =  32

width = 8

length x width = area

width = 8

length = 12 (width + 4)

12x 8 =  96

have a great day! I hope this helped! :)

(PLEASE ITS ACTUALLY MY LAST ONE HELP)

Which two figures represent circles of the same size?

A) D and G
B) C and G
C) none of them.
D) C and D

Answers

Answer:

B) C and G

Step-by-step explanation:

The radius is equal to 1/2 the diameter

r = 1/2 d

G has a diameter of 45

1/2 (45) = 22.5

C and G are the same

Answer:

c and g!

Step-by-step explanation:

Is -2/7 a natural number whole number integer rational number irrational number or real number

Answers

Answer:

interger

Step-by-step explanation:

the one with the I......yes interger

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Real, more specifically Rational.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Rational numbers are numbers that can be written as (p/q) when p and q are integers and q is not equal to zero. Since -(2/7) is already in this form, it is rational. Natural numbers and integers do not include fractions.

[tex]-\frac{2}{7}\text{ would be real and rational.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What are the coordinates of the x-intercept of the line 3x – 2y = 12?
(0,-6)
0 (0,4)
(-6,0)
(4,0)

Answers

Answer:

(4,0)

Step-by-step explanation:

When line intercepts x axis, y must be 0

when y =0

3x-2(0)=12

x=4

hence answer is (4,0)

Answer:

4,0

Step-by-step explanation:

BRAINLIEST TO BEST ANSWER There are ten numbered bags on the table with ten coins in each bag. The coins in one of the bags are fake. A real coin weighs 10 grams, and a fake coin weighs 9 grams. How do you find the bag that contains the fake coins with just one weighing?

Answers

Answer:

There are 10 bags. 9 of the bags have real coins, 1 bag has fakes. A real coin weighs 10 g, a fake coin weighs 9 g.

Take 1 coin from the first bag, 2 coins from the 2nd bag, 3 coins from the 3rd bag, 4 coins......., 5 coins............,  .........10 coins.......

If there are no fakes at all, the total weight should be: 550 grams.

If the weight is 545 grams, there would be 5 fakes, and so the fake bag would be Bag 5. (because there is a 5 gram difference)

I hope this helps!

pls ❤ and mark brainliest pls!

Solve the inequality for y 2.9 < 5.6+y simplify your answer as much as possible

Answers

Answer:

-2.7 < y

Step-by-step explanation:

2.9 < 5.6+y

Subtract 5.6 from each side

2.9-5.6 < 5.6-5.6+y

-2.7 < y

whats the perimeter of a squre with a side measurement of 6 in.?

Answers

Answer:

The Perimeter is 24 inches

Step-by-step explanation:

Perimeter is all the sides of something added up. All sides on a square are equal so each side is 6 inches

6+6+6+6=24

Geometry
B.5 Additive property of length 7RA
If TU = 4x, UV = 2x + 14, and TV = 7x – 5, what is UV?
T
4x
U
2x + 14
7x - 5
Simplify your answer and write it as a proper fraction, mixed number, or integer
Submit

Answers

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = [tex]\boxed{52}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is dh/dx if h(x) = cπ, where c is a constant? Please show work. Will mark the best answer as brainliest.

Answers

Answer:

[tex]h'(x)=0[/tex]

Step-by-step explanation:

By definition, the derivative of [tex]f(x)[/tex] is given by:

[tex]\displaystyle \frac{dy}{dx}=f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}[/tex]

Given [tex]h(x)=c\pi[/tex], [tex]h(x+4)[/tex] must also be [tex]c\pi[/tex]. Therefore, we have:

[tex]\displaystyle h'(x)=\lim_{h\rightarrow 0}\frac{c\pi - c\pi }{h},\\h'(x)=\lim_{h\rightarrow 0}\frac{0}{h}=\boxed{0}[/tex]

Note that the derivative of a constant is always zero since for [tex]f(x)=c[/tex], where [tex]c[/tex] is some constant, [tex]f(x)=f(x+h)[/tex] and we obtain [tex]c-c[/tex] in the numerator, yielding a final answer of zero.

75% increase followed by 50% decrease is it greater than to original

Answers

Answer:

Set original amount = x

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = [tex]\frac{7}{8} x[/tex]

Because [tex]\frac{7}{8} x[/tex] is less than x, the new amount would be less than the original.

The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph.
- The slope of the graph of the function is equal to ___ for x between x = -3 and x = -2.
- The slope of the graph is equal to ___ for x between x = 3 and x =4.
- The greatest value of y is y = ___.
- The smallest value of y is y = ___.

Answers

The slope of the graph of the function is equal to 0 for x between x = -3 and x = -2.

The slope of the graph of the function is equal to 0 for x between x = 3 and x = 4.

The greatest value of y is y = 4.

The smallest value of y is y = -3.

Find the sum of ∑3/k=0 k^2

Answers

Answer:

[tex]14[/tex]

Step-by-step explanation:

Given

[tex]\displaystyle \sum_{k=0}^3k^2[/tex]

Let's break down each part. The input at the bottom, in this case [tex]k=0[/tex], is assigning an index [tex]k[/tex] at a value of [tex]0[/tex]. This is the value we should start with when substituting into our equation.

The number at the top, in this case 3, indicates the index we should stop at, inclusive (meaning we finish substituting that index and then stop). The equation on the right, in this case [tex]k^2[/tex], is the equation we will substitute each value in. After we substitute our starting index, we'll continue substituting indexes until we reach the last index, then add up each of the outputs produced.

Since [tex]k=0[/tex] is our starting index, start by substituting this into [tex]k^2[/tex]:

[tex]0^2=0[/tex]

Now continue with [tex]k=1[/tex]:

[tex]1^1=1[/tex]

Repeat until we get to the ending index, [tex]k=3[/tex]. Remember to still use [tex]k=3[/tex] before stopping!

Substituting [tex]k=2[/tex]:

[tex]2^2=4[/tex]

Substituting [tex]k=3[/tex]:

[tex]3^2=9[/tex]

Since 3 is the index we end at, we stop here. Now we will add up each of the outputs:

[tex]0+1+4+9=\boxed{14}[/tex]

Therefore, our answer is:

[tex]\displaystyle \sum_{k=0}^3k^2=0+1+4+9=\boxed{14}[/tex]

Answer:

14

Step-by-step explanation:

∑3/k=0 k^2

Let k=0

0^2 =0

Let k = 1

1^2 =1

Let k =2

2^2 = 4

Let k = 3

3^2 = 9

0+1+4+9 = 14

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply.

Answers

Answer:

She did every other Child entering the matinee. Some kids could leave and re-enter, she should have done all of the people there.

Step-by-step explanation:

Also, next time please paste part of the answers there, ;)

Answer:

1. The sample of 40 children is too small to represent all kindergartners.

2. The sample was taken at a specific movie, which will skew data towards that type of movie.

3. The sample is likely to include a lot more girls than boys, since the movie title is “Three Pretty Princesses.”

Step-by-step explanation:

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