(Chapter 12) For any vectors u and v in V3 and any scalar k, k(u v)= (ku) v

Answers

Answer 1

For any vectors u and v in V₃ and any scalar k,

(ku) v. is equal to (ku) v.

Let's consider,

k = 2, u = 2i and v = 3i.

k(u v) = (ku) v.

L. H. S. = R. H. S.

k(u v) ........(1)

(ku) v.........(2)

Plugging the values of k, u and v in equation 1.

2 (2i × 3i) = 2×6i² = 12.

Now, plugging the values of k, u and v in equation 2.

(ku) v. = (2 × 2i) × 3i = 4i ×3i = 12i² = 12.

Therefore, for any vectors u and v in V₃ and any scalar k,

k(u v)= (ku) v.

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Related Questions

PLS HELP WILL MARK BRAINLIEST

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

90-degree angle  

as you can see, there is clearly a 90 degree right next to it, but that doesn't tell us anything, because it has symmetry with the 3 right next to it, all that is different is that it has a longer x-axis, which will not affect our answer.

Hope this helps!    

round 59.6487 to 2 decimal places?

Answers

Answer:

Step-by-step explanation:

round 59.6487 to 2 decimal places=

59.65

Answer:

59.65

Step-by-step explanation:

59.6487 ≈ 59.65

please derive this equation
ģ(Ar) 47 Tm.n+1 + Tm.n-1 + Tm+1,1 + Tm-in + + = 0 min (4.35) k

Answers

The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.

The equation you provided is:

Tm,n+1 + Tm,n-1 + Tm+1,1 + Tm-in = -47 Tm.n / (4.35 * k)

This equation appears to represent a numerical scheme or a finite difference approximation for solving a partial differential equation. The equation relates the temperature values at different grid points in a two-dimensional domain. Here's a breakdown of the terms in the equation:

• Tm,n+1 represents the temperature at the (m, n+1) grid point.

• Tm,n-1 represents the temperature at the (m, n-1) grid point.

• Tm+1,1 represents the temperature at the (m+1, 1) grid point.

• Tm-in represents the temperature at the (m, n) grid point.

• k is a constant related to the thermal conductivity of the material.

• 4.35 is a scaling factor.

The equation states that the sum of these temperature values, multiplied by -47 Tm.n divided by (4.35 * k), should equal zero. This equation likely arises from a discretization scheme for solving a heat transfer or diffusion problem numerically, where the temperature at each grid point is approximated based on neighboring points.

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if a thing is not a flower, then it is not a plant.
shorthand

Answers

Answer:

False, plants can be anything, take grass and trees and cacti, plant just need photosynthesis.

Step-by-step explanation:

You see, plants aren't based on if they are a flower or not

if a thing is not a flower, then it is not a plant.shorthand

Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working for the company longer, so her pay is 30% more than Maddy's. Last week, Maddy's cousin worked 27 hours, and Maddy worked 23 hours. Together, they earned $493.85. What is Maddy's hourly pay?

Answers

Hope it helps u mate. Plz follow me :)
Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working

If the unknown sample is measured three times and has an average absorbance of 1. 23 units with a standard deviation of 0. 11 what is the standard deviation of the concentration of unknown pb

Answers

The standard deviation of the concentration of the unknown sample can be calculated using the formula: Standard deviation of concentration = (Standard deviation of absorbance) / (Average absorbance)

In this case, the standard deviation of the absorbance is given as 0.11 units and the average absorbance is given as 1.23 units.
Using the formula, we can calculate the standard deviation of the concentration:
Standard deviation of concentration = 0.11 / 1.23

= 0.0894
So, the standard deviation of the concentration of the unknown sample is approximately 0.0894.
The standard deviation of the concentration of the unknown sample is 0.0894.
The standard deviation of the concentration of the unknown sample measures how spread out the concentrations are from the average concentration.

It is an important statistical measure that helps in assessing the reliability and precision of the measurements.

In this case, we are given the average absorbance of the unknown sample as 1.23 units and the standard deviation of the absorbance as 0.11 units.

To find the standard deviation of the concentration, we use the formula:

Standard deviation of concentration = (Standard deviation of absorbance) / (Average absorbance).

Plugging in the values, we get:

Standard deviation of concentration = 0.11 / 1.23

= 0.0894.

Therefore, the standard deviation of the concentration of the unknown sample is approximately 0.0894.

This means that the concentrations of the unknown sample measured three times may vary by around 0.0894 units from the average concentration.

It is important to consider this variability when interpreting the results and making conclusions based on the measurements.

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Let u=In(x) and v=ln(y), for x>0 and y>0.. Write In (x³ Wy) in terms of u and v. Find the domain, the x-intercept and asymptotes. Then sketch the graph for f(x)=In(x-3).

Answers

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

How can ln(x³y) be written in terms of u and v, where u = ln(x) and v = ln(y)?

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.

There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.

To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.

As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.

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Janissa bought 50 cupcake cases for baking. She used 2/5 of the cases to bake vanilla cupcakes. She then used 5/6 of the remaining cases to bake chocolate cupcakes. How many cupcake cases does Janissa have left?

Answers

Jessica has 5 cupcake cases left.

First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.

The number of cupcake cases that Janissa has left will be 5.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janissa bought 50 cupcake cases for baking.

She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be

⇒ 50 x 2 / 5

⇒ 20 vanilla cupcakes

Then the remaining cupcake cases will be

⇒ 50 - 20

⇒ 30 cupcake cases

She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be

⇒ 30 x 5 / 6

⇒ 25 chocolate cupcakes

Then the remaining cupcake cases will be

⇒ 30 - 25

⇒ 5 cupcake cases

Then the number of cupcake cases that Janissa has left will be 5.

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Please help me please

Please help me please

Answers

Answer:

1) g < -6

2) x < -5

3) f < 2

4) y ≤ -2

5) p ≥ 2

Evaluate the equation: e - 3.1 = 5

A. e = 1.9

B. e = 2.1

C. e = 8.1

D. e = 8.5

Answers

Answer:

C. e = 8.1

Step-by-step explanation:

e-3.1= 5

e = 5+3.1

e = 8.1

use pascal's triangle to expand the binomial (d-3)^6

Answers

Pascal's triangle can be used to expand the binomial (d-3)^6. The expansion involves applying the binomial theorem and using the coefficients from the corresponding row of Pascal's triangle.

In this case, the sixth row of Pascal's triangle is 1 6 15 20 15 6 1, which represents the coefficients for each term in the expansion of (d-3)^6.

The binomial theorem states that for any binomial expression (a+b)^n, the expansion can be represented as the sum of terms of form C(n, k) * a^(n-k) * b^k, where C(n, k) is the binomial coefficient obtained from Pascal's triangle.

In this case, we have (d-3)^6, so the expansion will have seven terms corresponding to the powers of d from 6 to 0. Using the coefficients from the sixth row of Pascal's triangle, we can write the expanded form as:

(d-3)^6 = 1d^6 + 6d^5*(-3) + 15d^4(-3)^2 + 20d^3(-3)^3 + 15d^2(-3)^4 + 6d(-3)^5 + 1*(-3)^6.

Simplifying the terms and raising -3 to different powers, we can obtain the expanded form of (d-3)^6.

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The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.

615.44 square inches
307.72 square inches
153.86 square inches
76.93 square inches

Answers

Answer:

Possibly A

Step-by-step explanation:

Answer:

76.93

Step-by-step explanation:

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected 840 from ticket sales, how many adult tickets were sold?

Answers

The number of adult tickets that were sold would be = 435 tickets.

What is a ticket?

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. If you reach in and randomly draw two marbles without replacing the first, what is the probability that both will be green?

Please answer!!!!!!
Worth 35 points!
Poop answers will be reported!!!

Answers

Answer:

Step-by-step explanation:

total number of marbles=5+15+5=25

number of green marbles=5

P(two green balls drawn)

\(=\frac{5}{25} \times\frac{4}{24} =\frac{1}{30} \\\)

The price of bananas can be determined by the equation p=0.45n where p is the price and n is the number of bananas. What is the constant of proportionality (unit rate)

Answers

Answer:

The constant of proportionality is 0.45.

Step-by-step explanation:

The constant of proportionality is the ration of two different quantities or is the unit value of a quantity.

The expression representing the price of bananas is:

\(p=0.45n\)

To determine the unit rate of bananas divide the price by the number of bananas.

\(\text{Unit Rate}=\frac{p}{n}\)

                \(=\frac{0.45n}{n}\\\\=0.45\)

Thus, the constant of proportionality is 0.45.

A company's stockwas selling at 24$ a share.A month later it was selling at $30 a share. What is the percent gain

Answers

Answer:

20%

Step-by-step explanation:

% increase = (final − initial) / initial × 100%

= (30 − 25) / 25 × 100%

= 20%

Answer:

The percent gain is 25%

Step-by-step explanation:

Angle
x
= 076° and angle
y
= 111°.
Find the bearing of point A from point O.

Answers

The bearing of point A from point O is 256°.

What are bearings?

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Angle x = 076 and angle y = 111.Find the bearing of point A from point O.

TRUE/FALSE. while large groups of individuals work on key oss projects, such as the linux operating system, some widely used efforts have had fewer developers, creating concerns over quality and security.

Answers

The given statement is true. While large groups of individuals work on key OSS projects, such as the Linux operating system, some widely used efforts have had fewer developers, creating concerns over quality and security.

Given,

While large groups of individuals work on key OSS projects, such as the Linux operating system, some widely used efforts have had fewer developers, creating concerns over quality and security.

We have to find whether the given statement is true or false;

OSS;- Open Source Software

Code that is intended to be publicly accessible is known as open source software; anybody can view, alter, and distribute the code as they see appropriate. Peer review and community production are used in the decentralized, collaborative development of open source software.

Here,

The given statement is true.

That is, While large groups of individuals work on key OSS projects, such as the Linux operating system, some widely used efforts have had fewer developers, creating concerns over quality and security.

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-9+a over 15 is greater than 1. What does a equal

Answers

Answer: 48

Step-by-step explanation:

Answer:

the answer would be 170

Step-by-step explanation:

if you take a number less than 170 it wouled be less than 1 not greater so it is 170

His mouth stinging and burning, Virgil hurried to the
kitchen for water to wash away the dish’s ------- taste.
(A) earthy (B) exotic (C) cloying
(D) acrid (E) succulent

Answers

As his mouth began to sting and burn, Virgil hurried to the kitchen to get some water to wash the dish's acrid taste away.

The correct option D.

Stinging and burning are described as:

Nerve problems may be the cause of a burning pain. There are, however, a lot of additional potential causes. It's possible for injuries, infections, and autoimmune conditions to cause nerve damage and, in some cases, nerve pain.

Is acrid the same as bitter?

Acrid remarks are extremely bitter or stinging; extremely caustic.

Which foods have a bitter taste?

Numerous vegetables in the cruciferous family, such as broccoli, Brussels sprouts, cabbage, kale, radishes, and arugula, have a bitter flavor.

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6x + 8y = -2 -5x - 7y = 1

6x + 8y = -2 -5x - 7y = 1

Answers

Answer: Solution = (- 3, 2)

Explanation:

The system of equations is

6x + 8y = -2

-5x - 7y = 1

We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have

30x + 40y = - 10

- 30x - 42y = 6

By adding both equations, we have

30x + - 30x + 40y + - 42y = - 10 + 6

30x - 30x + 40y - 42y = - 4

- 2y = - 4

Dividing both sides by - 2,

- 2y/- 2 = - 4/- 2

y = 2

Substitu4ing y = 2 into equation 1, we hav

6x + 8 * 2 = -2

6x + 16 = - 2

Subtracting 16 from bth sides,

6x + 16 - 16 = - 2 - 16

6x = - 18

Dividing both sides by 6,

6x/6 = - 18/6

x = - 3

Solution = (- 3, 2)

Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?

Write an equation that could be used to find the retail price for each range. How do you know the equation

Answers

Answer:

It looks like you are trying to find the retail price for a given quantity of pairs. To write an equation that could be used to find the retail price for each range of quantities, you will need to know the following information:

The retail price for the first range (0-20 pairs)

The retail price for the second range (21-40 pairs)

The retail price for the third range (41-60 pairs)

The retail price for the fourth range (61-80 pairs)

The retail price for the fifth range (81 or more pairs)

Once you have this information, you can use an if-then statement to create an equation that will work consistently for each range. The equation might look something like this:

if (quantity >= 0 and quantity <= 20):

retail_price = price for 0-20 pairs

elif (quantity >= 21 and quantity <= 40):

retail_price = price for 21-40 pairs

elif (quantity >= 41 and quantity <= 60):

retail_price = price for 41-60 pairs

elif (quantity >= 61 and quantity <= 80):

retail_price = price for 61-80 pairs

else:

retail_price = price for 81 or more pairs

This equation will work consistently for each range because it uses a series of conditions to determine which retail price to use based on the quantity of pairs.

EDIT:

To find the retail price for a given quantity of pairs based on the wholesale prices you provided, you can use the following equation:

if (quantity >= 0 and quantity <= 20):

retail_price = 25.00

elif (quantity >= 21 and quantity <= 40):

retail_price = 23.00

elif (quantity >= 41 and quantity <= 60):

retail_price = 21.00

elif (quantity >= 61 and quantity <= 80):

retail_price = 19.00

else:

retail_price = 17.00

This equation will work consistently for each range because it uses a series of conditions to determine the retail price based on the quantity of pairs. The retail price will be 25.00 for quantities in the first range (0-20 pairs), 23.00 for quantities in the second range (21-40 pairs), 21.00 for quantities in the third range (41-60 pairs), 19.00 for quantities in the fourth range (61-80 pairs), and 17.00 for quantities in the fifth range (81 or more pairs).

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).???????????????????????????????

Answers

Answer: its false

Step-by-step explanation:

Which statement about the graph is accurate? Point A is a relative minimum of the graph. Point B is a turning point of the graph. Point C is a maximum of the graph. Point D is a y-intercept of the graph.

Answers

Answer:

its C

Step-by-step explanation:

I just took the test

Answer:

point c

Step-by-step explanation:

gimme points and i will give explain

Find SP when CP=Rs.400 and profit%=4%

Answers

Answer:

Rs 416

Step-by-step explanation:

Given,

Cost Price ( CP ) = Rs 400

Profit % = 4 %

Selling price ( SP ) = ?

now, Let's find the value of SP:

SP = \( \frac{CP \: (100 + \: profit percent \: )}{100} \)

Plug the values

\( = \frac{400(100 + 4)}{100} \)

Add the numbers

\( = \frac{400 \times 104}{100} \)

Multiply the numbers

\( = \frac{41600}{100} \)

Divide

= Rs \(416\)

Selling price ( SP ) = Rs 416

Hope this helps...

Best regards!!

The base area of cubical box is 16m² . Find the volume
of Cubical box​

Answers

Answer: Volume is 64 m³

Step-by-step explanation: In cubical box all sides have equal length.

Lets mark length of side a. So base is a square which area is a² = 16 m²2² and

lenght of a = √(16 m²) = 4 m . Volume of cube is a³

according to a recent study from the centers for disease control on american adults, the proportion that have a mobile phone is 89%, the proportion that have a landline is 57%, and 2% have neither a landline nor a mobile phone. what proportion of american adults have a mobile phone, and not a landline?

Answers

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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A wall has been built in such a way that the top row contains one block, the next lower row contains 3 blocks, the next lower row contains 5 blocks, and so on, increasing by two blocks in each row. How many rows high is the wall if the total number of blocks used was 900 ?

Answers

Answer:

The answer is 30 ROWS.

Step-by-step explanation:

Please give brainlyest

A wall has been built in such a way that the top row contains one block, the next lower row contains

The graph shows which quadratic equation? Responses A y = -(x−3)^2 + 4y = - ( x - 3 ) 2 + 4 B y = (x−4)^2 - 3 C y = (x+4)^2 - 3y = ( x + 4 )^2 - 3 D y = (x−4)^2 + 3

The graph shows which quadratic equation? Responses A y = -(x3)^2 + 4y = - ( x - 3 ) 2 + 4 B y = (x4)^2

Answers

The graph represents the first quadratic equation which is y = -(x - 3\()^{2}\) + 4.

What is a quadratic equation?

Any equation in algebra that can be written in standard form as where x denotes an unknown value and a, b, and c denote known numbers, where a 0 is a quadratic equation.

We are given a graph which represents a quadratic equation.

The graph represents a parabola opening downwards and it has its vertex at (3,4).

This means that the vertex is 4 units above and 3 units right to the origin.

So, the graph represents the quadratic equation y = -(x - 3\()^{2}\) + 4.

Hence, the first option is the correct answer.

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What are the equivalent numbers?

What are the equivalent numbers?

Answers

Answer:

1st and 2nd

Step-by-step explanation:

I'm not so sure but I think it's the first and second one

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Someone help me please 28. ) _______ help chemical reactions occur by decreasing the activation energy.a.) Enzymesb.) Substratesc.) Active sitesd.) Atomse.) Products What are three main points about the US constitution and how it works sooooooooooooooooooo Where are electrons with the lowest energy found?A. closest to the nucleusB. farthest from the nucleusC. outside the atomD. in the nucleus 1. A movie theater sells tickets for $9.00 each. Senior citizens receive a discount of $3.00. One evening the theatersold 636 tickets and took in $4974 in revenue. How many tickets were sold to senior citizens? prove that under any affine transformation, the ratio of parallel line segments is invariant, but the ratio of non-parallel line segments is not invariant Find the product of 6 and 9. Drag the missing statements and reasons to the correct spot to complete the proof Using the region names in the image below, select all regions that represent:A' B C3 group Venn Diagram with Roman numeral labeled regionsNot A intersection B intersection C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups. Pls answer correctly Ill give you brainliest John bought a video game that was 20% off. THe game was originally $50. How much money DID HE SAVE by getting it on sale? pls help btw this is for a friend Why is Article 3 of the Constitution important? the U.S. ended its foreign policy of isolationism because ? A game has a spinner with 12 equal sectors labeled 1 through 12.What is P(multiple of 3 or multiple of 5) Enter the explicit rule for the geometric sequence.9,6,4,8/3, Companies often fail to survive because they have a shortage of cash at critical moments, especially during a financial crisis. Suggest ways to obtain additional finance during periods of financial difficulty Which ones are microscopic? Brainliest if correct