If we know that W is a subset of the vector space V and we know that W contains the zero vector 0, then W must be a subspace of V.

True

False

Answers

Answer 1

The statement that W must be a subspace of V is "true."

What exactly is a vector's subspace?A vector space that's also enclosed inside another vector space is referred to as a subspace. So each subspace is a vector space in and of itself, but it is also defined in relation to another (larger) vector space.

Fr the given question;

To demonstrate that a subset is indeed a subspace, you must demonstrate three things:

Show that it is closed in addition. Demonstrate that it is closed under scalar multiplication. Demonstrate that vector 0 is included in the subset.

As, it is given in the question that;

W is a subset of the vector space V. W contains the zero vector.

Which shows that the W must be within the subspace of V.

Thus, the set W is the subspace of V is true statement.

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Related Questions

HELP QUICK!!!!!
The value of A is
.
The value of B is
.

Answers

The known ration is 1:1.25
Value A: 10 because 1.25 x 8 = 10
Value B: 35 because 1.25 x 28 = 35

the ratio of 25cm to 3m
what is the ratio

Answers

Solution

First change m to cm

1m = 100cm

3m = 300cm

25cm to 300cm

1cm to 12cm

Isaiah has organized his personal information to calculate his net worth in a table, n Student loans Checking account balance 'Auto loan Credit card debt Car value Other personal property Cash on hand Savings account balance Based on this information, which table could be Isaiah's assets and liabilities statement?

Answers

The ratio of isaiah,s liabilities is less than 1.

Let , isaiah has total debt (not including mortgage) is $7,410.

Her net worth (not including his home) is $21,000.

Therefore, his debt-to-equity ratio is $7,410 divided by $21,000, or 0.35.

therefore, this ratio is less than 1, isaiah has not reached the upper limit of debt obligations.

Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.

the difference between your assets and your liabilities is your net worth. The formula looks like this: (Sum of the current value of all assets) - (Sum of the current total of all outstanding liabilities) = Net worth.

The net worth of a business is also known as its book value, or as its owners' (stockholders') equity. This figure can be computed relatively easily using information found on a company's balance sheet. However, even if the balance sheet isn't available, you can still calculate a business' net worth if you have some basic financial information.

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tomas makes balloon sculptures at6 a circus im 180 minutes he uses 252 balloons to make 36 identical sculptures what is tomam's unit rate for balloons per minute

Answers

By taking a quotient, we can see that while he works, he uses 1.4 ballons per minute to make scultures, so the unit rate is 1.4 balloons/minute.

What is Tomas' unit rate for balloons per minute?

The unit rate refers to the quotient between two quantities, if we want to find the rate for ballons per minute, we need to take the quotient between the number of ballons that he uses and the total time in which he does that. The unit rate will tell us how many ballons he uses per minute

Here we know that he uses a total of 252 balloons, and he does that in a total time of 180 minutes, then the unit rate is just the quotient:

R = (252 ballons)/( 180 min)= 1.4 ballons/minute

This means that while he works, he uses 1.4 balloons per minute to make sculptures, so the unit rate is 1.4 balloons/minute.

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Rewrite one sixth times x cubed times y plus five sixths times x times y squared using a common factor.

one third times x times y times the quantity x squared plus 5 times y end quantity
one third times x times y times the quantity 3 times x squared plus 15 times y end quantity
one sixth times x times y times the quantity x squared plus 5 times y end quantity
one sixth times x cubed times y squared times the quantity y plus 5 times x end quantity

Answers

The final expression after using a common factor is:

Option C - one-sixth times x times y times the quantity x squared plus 5 times y end quantity

i.e (1/6)xy ( x² + 5y )

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

We have,

one-sixth times x cubed times y plus five-sixths times x times y squared.

This can be written as:

(1/6)x³y + (5/6)xy²

Taking out (1/6)xy as the common factor.

(1/6)xy ( x² + 5y )

Thus the expression after using a common factor is:

one-sixth times x times y times the quantity x squared plus 5 times y end quantity

i.e (1/6)xy ( x² + 5y )

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Answer:

Option c it's obvious

Step-by-step explanation:

Solve for j.
j+ 14
6
=4
Submit

Answers

YesAnswer:

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

j+146=4 the proper way t solve this is DCVS
1 DISTRIBUTE
2COMBINE
3VARIABLES ON  side constants on another

4 Solve

1st things first J+146-146=4-146

so the answer is j= -142 hope you enjoyed please give me brainliesttt thank you

When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F

Answers

The temperature is -3°F

Answer it please i need your help….

Answers

Answer: the trust store, because  a smaller denominator is a bigger fraction.

the temperature was 3 degrees celcius at midday. By evening, the temperature was -5 degrees celcius

Answers

3 Celsius to -5 is 9 Celsius difference

d
A
In the diagram above, the "d" represents the:
a. diagram
b. diameter
c. radius
d. arc
Exit
Submit

Answers

Answer:

diameter

Step-by-step explanation:

The chord of a circle that passes through the center is the diameter.

if x = -5 and y = -2 evaluate x2 - y3.

Answers

Answer: The answer is -4

Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!

Hope this Helps :D

A cube has an edge of length c.

If the length of each edge were
multiplied by 2/3, what would the volume of the cube be?

Answers

The volume of the cube given the length of each edge is 8/27 units³.

What is the volume of the cube?

A cube is a three-sided object that has six faces, eight vertices and twelve edges. The six faces of a cube have the shape of a square. Thus, the length, width and height of a cube have the same dimensions. The angle between any two face in a cube measures 90 degrees. A cube is also known as a regular hexahedron.

A cube is one of the five platonic solids. A platonic solid is a solids that are made up of equivalent faces that are made up of congruent convex regular polygons.

Given the length of each edge of a cube, the volume can be determined by multiplying the given length edge by itself three times. Or by find the cube of the given length edge.

Volume of the cube = length edge³

2/3³ = 8/27 units³

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38) State the slope of a line parallel to 3x - 5y = 25​

Answers

Answer: y= 3/5x-5

slope is 3/5

Step-by-step explanation:

Step-by-step explanation: I hope this helps.

Answer:

Point I is on line segment HJ. Given HI = x, HJ = 3x - 9, and
IJ = x + 5, determine the numerical length of HJ.
Answer: HJ =

Answers

The numerical length of HJ is 33

The given parameters;

distance of HI = x

distance of HJ = 3x - 9

distance of IJ = x + 5

To find:

the numerical length of HJ

A sketch of the positions of the line segments is shown below;

|<-----x------->|<--------------------------x+5------------------------------>|

H---------------I----------------------------------------------------------------J

The value of x will be calculated by setting up the following equation;

HI + IJ = HJ

x + x + 5 = 3x - 9

2x + 5 = 3x - 9

collect similar terms together;

2x - 3x = -9-5

-x = -14

x = 14

The numerical length of HJ is calculated as;

HJ  = 3(14) - 9

HJ = 42 - 9

HJ = 33

Thus, the numerical length of HJ is 33

A line segment is a section of a line with two ends and a fixed length. It differs from a line that has no beginning or end point and can be stretched in both directions.

The length of a number in base is the number of digits in the base-number for, as determined by the formula. The multiplicative persistence of an. digit is also known as its length.

A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two points. A line has no endpoints and stretches in both directions indefinitely, but a line segment has two fixed or definite endpoints.

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make S subject formula
[tex]t \: = 2p(s \div k)[/tex]

Answers

The S subject formula of the given expression will be given as s = tk/2p.

In order to find the S subject formula, we have to make the equation equal to s. This can be done by first making the equation in mathematical form and then taking s on one side and the other terms on the other side.

The equation given in the question is t = 2p (s ÷ k) which can also be written as t = 2p (s/k). Now, in order to make the s formula of the given expression we first cross multiply k on the left-hand side.

tk = 2p (s)

Now, we divide the expression 2p on the left-hand side.

tk/2p = s

=> s = tk/2p

This expression gives us the S formula.

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What is the solution set of {x | x > -5} u {x | x < 5}?
A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers

Answers

On solving the inequalities The solution for this is option D

(D)All real numbers

For this case we must find the solution set of the following inequalities:

The solution is given by all values of x greater than -5.

The solution is given by all values of x greater than -5.

This is the union of both the inequalities a hence all the real numbers will justify the inequalities.

Then, the solution set is given by all real numbers.

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Esta semana ,laura trabajo 40 horas de tiempo regular y 3 horas adicionales. si ella percibe $12.00por horas regular y una vez y media esa cantidad por hora adicionales cuantos dinero obtuvo laura esta semana

Answers

The amount that Laura will earn for the week based on the information is $534.

How to illustrate the information?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.

A symbol without a set value is referred to as a variable.

A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

In an expression, a coefficient is a number that is multiplied by a variable.

It should be noted that Laura works 40 regular hours and 3 hours overtime.

Therefore, the amount that she earns will be:

= (40 × $12) + (3 × $18)

= $480 + $54

= $534

The amount that she earns is $534.

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us using the point slope formula why negative y1 = m x - X1 find the equation of the line whose slope is 3 and that passes through the point negative 912 write the equation is slope intercept form​

Answers

The equation of line in the slope intercept form is;  y = 3x - 45.

What is the definition of the point slope intercept form?The point slope shape is used to compute the equation of a straight line a inclined to the x-axis at a specific angle and passing through a given point.The equation of a line is a formula that is satisfied by every point on the line. two-variable linear equation thus represents a line.

The equation of the line in slope intercept form is;

(y - y₁) = m(x - x₁)

The given coordinates are-

(x₁ ,y₁) = (-9, 12)

the slope of the line is;

slope = m = 3.

Put the values in the equation;

y - (-9) = 3(x - 12)

y + 9 = 3x - 36

y = 3x - 36 - 9

y = 3x - 45

Therefore, the equation of line in the slope intercept form is;

y = 3x - 45.

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What’s the answer help!!! Help me please quick !!! I need help

Answers

Answer: Option 1 is cheaper by $4.50

Explanation:

Option 1 is calculated by taking the discount then adding on the shipping fee.

80 - (80 x 0.3) + 7.50
80 - 24 + 7.50
63.5

Option 2 is calculated just with a discount

80 - (80 x 0.15)
80 - 12
68

To see how much she saves, you can subtract:
68 - 63.5 = 4.5

1. What Can You Say About The Sign Of Two Numbers If Their Product Is Positive?
2. What Can You Say About The Sign Of Two Numbers Is Their Quotient Negative?
3. If You Have The Product Of Four Number One is Positive And Three Are Negative, What Will The Sign Of The Product Be?

Answers

all them correct right

Is this a translation, rotation, or reflection?

Answers

Answer:

rotation

Step-by-step explanation:

Math Math Math Math mTh

The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.9 years, the company is willing to have a warranty that replaces at most 5% of their toasters sold. What is the longest a blender can last and still be in the lowest 5% of life spans?
4.6 years

7.3 years

4.3 years

5.9 years

Answers

The longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.

What is a normal distribution?

The z-score formula can be used to resolve issues with samples that have a normal distribution. The score of a measure X in a collection with mean and standard deviation is given by:

Z = ( X - μ ) / σ

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the value.

In this problem, we have that:

μ = 5.8, σ = 0.9

Only those on the 5th percentile or lower will be replaced. So the warranty is the value of X when Z has a value of 0.05.

The value of x will be:-

Z = ( X - μ ) / σ

-1.28 = ( X - 5.8 ) / 0.9

X = 4.6

Therefore, the longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.

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A group of 50 students were asked about their favorite color. Here are the results:

Red: 15 Blue: 11 Purple: 7 Yellow: 8 Pink: 6 Green: 3

Which of the following visual displays is most appropriate for this data?

Box plot
Histogram
Stem plot
Dot plot
Pie Chart

Answers

What is the ratio of the length of DE to the length of BC?

A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) = -72 ∣ x - 5 | + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck’s distance from the starting point is shown in the graph

Which vehicle takes longer to complete the delivery? How much longer? Justify your answers.

Answers

The truck takes a time of 1 longer to complete the delivery than that of the vehicle.

How to interpret Linear Functions?

We are given the function that represents the distance (in miles) of the car from the starting point after x hours as;

C(x) = -72|x - 5| + 360

Now, at a time of x = 5 hours, the distance covered by the car is;

C(5) = -72|5 - 5| + 360

C(5) = 0 + 360

C(5) = 360  miles

Thus, the car covers a distance of 360 miles in 5 hours

Now, from the given graph that represents the truck’s distance from the starting point, we see that after 6 hours, it has covered 360 miles. Thus, we say that the truck covers 360 miles in 6 hours.

Thus, the truck takes 1 longer to complete the delivery than that of the vehicle.

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How do you do the following problem:

f(6)= square root of 6

Answers

The answer for the given function f(6)= square root of 6 is 2.449 approx.

Given :

f(6) = square root of 6

Function :

A function relates an input to an output. In simple word it is a relation between a set of inputs having one output each.

 "f(x) = ... " is the classic way of writing a function.

f(6) = √6

To determine the f(6) = √6 we will solve the square root of 6.

So, the value of √6 will be 2.449 approx.

Then,

f(6) = √6

f(6) = 2.449

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A borrower has two alternatives for a loan: (a) issue a $480,000, 60-day, 8% note or (b) issue a $480,000, 60-day note that the creditor discounts at 8%. (Assume a 360-day year is used for interest calculations.)

Answers

1) The determination of the amount of the interest expense in each alternative is as follows:

Alternative A:   $6,400

Alternative B:   $6,356.82

2) The determination of the proceeds received by the borrower in each alternative, based on their present values, is as follows:

Alternative A:   $480,000

Alternative B:   $473,643.18

Data and Calculations:

                                    Alternative A   Alternative B

Note Payable                 $480,000       $480,000

Maturity period               60 days            60 days

Interest /Discount rate   8%                     8%

Calendar Year = 360 days

The amount received  $480,000         $473,643.18 (PV)

Interest paid                     $6,400             $6,356.82

Alternative A:

Interest = $6,400 ($480,000 x 8% x 60/360)

Present Value for Alternative B:

N (# of periods) = 60 days

I/Y (Interest per year) = 8%

PMT (Periodic Payment) = $0

FV (Future Value) = $480,000

Results:

PV = $473,643.18

Total Interest $6,356.82

Thus, the borrower received $480,000 using alternative A and $473,643.18 with alternative B based on the present value of the future cash flow.

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Question Completion:

1) Determine the amount of the interest expense in each alternative.

2) Determine the proceeds received by the borrower in each alternative.

when you move diagonal on coordinate plane, what axis are you moving on?

Answers

it’d be up and down

What is £105.035 rounded to the nearest whole penny?

Answers

Answer:

£105.04

Step-by-step explanation:

To round an amount to the nearest cent, check the value of its thousandths. If the value is equal to 5 or greater, increase the value in the cent’s place by 1 and then remove all digits to the right after the second decimal place. If the value is equal to 4 or less, simply remove all the digits to the right after the second decimal place. For example with £105.035 the thousandths’ value is 5, so we round up: £105.035 -->  £105.04

A company has 14 offices that need new carpeting. Each office
measures 22 feet by 17 feet. How much carpeting does the
company need?

Answers

5,236ft of carpeting.

22x17=374ft per office

374x14=5,236ft

. Mike is putting up a fence in the backyard. The fence comes in sections that are 4 2/3
feet long. If the yard is 34 feet long, how many sections will he need to buy?

Answers

Answer:

[tex]7\frac{2}{7}[/tex] sections of fence

Step-by-step explanation:

since we are trying to find how many sections we need and we are given the total length of the yard and the length of each section of the fence, we are going to divide.

you want to divide the 34 yards into the 4 2/3 feet. to make this easier, we can turn 4 [tex]\frac{2}{3}[/tex] into a mixed number. to do this we multiply the 4 by the denominator which is the number on the bottom and add it to the numerator which is the number at the top.

4x3=12

12+2 = 14

[tex]\frac{14}{3}[/tex]

[tex]\frac{34}{1}[/tex] ÷[tex]\frac{14}{3}[/tex]

to divide fractions we multiply by the reciprocal which would be

[tex]\frac{34}{1}[/tex]×[tex]\frac{3}{14}[/tex]

now we just multiply across

34x3= 102

1x14=14

[tex]\frac{102}{14}[/tex]

now the furthest we can simplify this is by dividing the whole thing by 2

51/7

now we turn this back into an improper fraction

we get [tex]7\frac{2}{7}[/tex]

you will need to buy [tex]7\frac{2}{7}\\[/tex] sections of fence

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