if a=x+y and b=x-y ,show that (a-b)^2=4y^2​

Answers

Answer 1

Step-by-step explanation:

\(((x + y) - (x - y) ){}^{2} = 4 {y}^{2} \)

\((2y) {}^{2} = 4 {y}^{2} \)

\( {2}^{2} {y}^{2} = {4y}^{2} \)

\(4 {y}^{2} = 4 {y}^{2} \)


Related Questions

Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110

Answers

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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which one is not correct? group of answer choices
A. a determinant is the attribute on the left side of the functional dependency B. a determinant must be a primary key
C. a determinant can contain more than one attribute a functional dependency D. is not a mathematical dependency

Answers

B. "A determinant must be a primary key."

Which statement about determinants in functional dependencies is incorrect?

In a functional dependency, a determinant is an attribute or a set of attributes that uniquely determines the values of other attributes. The determinant is represented on the left side of the arrow in a functional dependency.

A determinant does not necessarily have to be a primary key. While a primary key uniquely identifies each record in a table, it may not always be the determinant for functional dependencies involving other attributes.

In fact, a determinant can be any attribute or combination of attributes that uniquely determines the values of other attributes in a given context.

It may consist of a single attribute or multiple attributes, as stated in option C.

Therefore, the correct answer is B. "A determinant must be a primary key."

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Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2

Answers

First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5

The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.

If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.

Thus, y = -0.5x + 4 would be our equation.

A flower shop sells 11 different bouquets and multiple different styles of vase. Which are the possible numbers for the total number of combinations of bouquet and vase?

Answers

Total combinations would be found by multiplying the number of different bouquets by the number of different vases.

The problem doesn't say how many different vases there are so using the letter v for vases, multiply 11 by v

Total combinations = 11v

Name five large cities and their population also find their distance in kilometres between each pair of the cities

Answers

The five large cities in India are:

BangaloreMumbaiNew DelhiHyderabadKolkata

The population of large cities in India are:

The Current population of Bangalore is 11,556,907The Current population of Hyderabad is 8.7 million.The Current population of Kolkata is 5 million.The Current population of Delhi is 25 million.The Current population of Mumbai is 21 million.

The distance between the large cities in India are:

The distance between Bangalore to Hyderabad is 575 kmThe distance between Mumbai to Delhi is 1136kmThe distance between Kolkata to Hyderabad is 1192km.

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WILL GIVE 20 BRANLY- Find the value

Answers

Answer:

Find the value of what? Update the question and I will answer

Step-by-step explanation:

I need help ASAP 10 points! And I will mark you Brainly

I need help ASAP 10 points! And I will mark you Brainly

Answers

Answer:

its c

Step-by-step explanation:

will you please marke me as bainly

Equations with x in the denominator

Can someone please explain to me, step by step, how to answer this question.

Equations with x in the denominatorCan someone please explain to me, step by step, how to answer this

Answers

Answer:

x=5/6

Step-by-step explanation:

lcm=6x

6xX1/2x+6xX1/3x=6xX1 (divide through)

3x1+2x1=6xX1

3+2=6x

5=6x

5/6=6x/6 (divide through)

x=5/6

Hope it help

can someone help please:)

can someone help please:)

Answers

The expression that does not have a value between 0 and 1 is (c) [(8^3)^2]/(8^-4]

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the expression?

From the question, we understand that the expression does not have a value between 0 and 1

This means that the expression is either a negative value, or it exceeds 1

The above implies that the expression is a rational expression

As a general rule, rational expressions are expressions that are represented by the quotient of two numbers or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are numbers or radicals

From the list of options, we have

Option (c)

This is represented as

[(8^3)^2]/(8^-4]

Apply the law of indices

So, we have

[(8^3)^2]/(8^-4] = [(8^6]/(8^-4]

Apply the law of indices

So, we have

[(8^3)^2]/(8^-4] = 8^(6 + 4)

Evaluate the expression

[(8^3)^2]/(8^-4] = 1073741824

The above expression does not have a value between 0 and 1 because 1073741824 exceeds 1

Hence, the expression that does not have a value between 0 and 1 is (c) [(8^3)^2]/(8^-4]


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198.447 rounded to the nearest whole number.

Answers

198 is the answer! Hope this helps

Answer:

25

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

In a north washington country , the speeding fines are determined by the formula: f(s)= 13(s-35)+40

Answers

The fine amount for a speed of 50 mph would be $235. the fine amount for a given speed (s) in North Washington, taking into account the excess speed over the limit and a base fine.

In a North Washington country, the formula to determine speeding fines is given by f(s) = 13(s - 35) + 40. Let's break down the formula and understand its components.

The formula represents the relationship between the fine amount (f) and the speed of the vehicle (s). The speed of the vehicle is denoted by the variable s.

The term (s - 35) represents the difference between the speed of the vehicle and the speed limit. By subtracting 35 from the speed of the vehicle, we obtain the excess speed over the limit.

Multiplying the excess speed by 13 indicates that the fine increases by $13 for every unit of excess speed over the limit.

Adding 40 to the product of 13(s - 35) ensures that there is a base fine amount, even if the excess speed is zero. The constant term of 40 represents this base fine.

Therefore, the formula f(s) = 13(s - 35) + 40 calculates the fine amount for a given speed (s) in North Washington, taking into account the excess speed over the limit and a base fine.

To determine the specific fine amount for a particular speed, substitute the speed value into the formula. For example, if the speed of the vehicle is 50 mph:

f(50) = 13(50 - 35) + 40

      = 13(15) + 40

      = 195 + 40

      = 235

In this case, the fine amount for a speed of 50 mph would be $235.

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Need help ASAP. WILL MARK BRAINLIEST.

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

will you go out with me

Step-by-step explanation:

i will make pumpkin pie

A soma de dois números consecutivos é 11, qual expressão algébrica representa este contexto? * 1 ponto a) X + X + 1 = 11 b) X + X = 11 c) X + X – 1 = 11 d) X + 1 = 11

Answers

Answer:

a) X + X + 1 = 11

Step-by-step explanation:

Em matemática, a soma de consecutivos é expressa matematicamente como:

X + (X + 1) + (X + 2) + (X + 3) .............

Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11

Portanto, esta expressão algébrica é dada como:

X + (X + 1) = 11

X + X + 1 = 11

Portanto, a opção a) X + X + 1 = 11 é a opção correta

In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]​

In the given figure ABCD, prove thatangleBCD= angleBAD+ angle ABC+angle ADC.[Hint: Join A and C then

Answers

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).

4. In triangle \(\displaystyle\sf BCE\):

- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

- \(\displaystyle\sf \angle BCE = \angle BCD\).

6. Combining the equations from steps 3 and 4:

- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

A house painter has $100 to buy paint. If each can of paint costs $10, how many cans of paint can the painter buy?

Answers

Answer:

The house painter can buy 10 cans of paint.

Step-by-step explanation:

100 ÷ 10 = 10

Hope this helps! :)

Answer: 10 because he has 100$ and each can of paint costs 10$ so you divide the money he has by the money it costs and you get 10

Step-by-step explanation:

please what's -4/5 - -3/5

Answers

Step-by-step explanation:

-4/5 - -3/5

-4/5 + 3/5

(-4+3)/5

=-1/5

the answer for -4/5 - -3/5 is  −1/5

I need the answer to this please hurry

I need the answer to this please hurry

Answers

Answer: 240 is your answer for 100% of the e-book

Step-by-step explanation: so if we look at the given facts, 180 is 75% of the e-book, now take this and divide 180 by 3, and you get 25% of the e-book (60 is 25%) so if we factor that back into the 180 75%, we now get 240 at 100% of the e-book read

t = 240

Explanation: You can do (180 * 4)/3 which gives you 240

write an equation that represents the graph of the line shown ​

write an equation that represents the graph of the line shown

Answers

Answer:

y=2x

Step-by-step explanation:

y=mx+b

Slope/m:

(8-(-4))/(4-(-2)=12/6=2

Y-intercept or b:

0 because it passes through the point of origin

Check by Substituting:

8=2(4)

8=8

True

Simply [(10b^2 + 42b + 36)/(6b^2 – 2b – 60)] : [(40b + 48)/(3b^2 – 13b + 10)]. State any restrictions on the variables

Answers

Simplified expression is [(5b + 3)(b - 5) / (3b + 5)], with a restriction on the variable b ≠ -5/3.

How to simplify the given expression? Briefly describe bwlow?

We first factor each term in the numerator and denominator. Then, we cancel out any common factors between the numerators and denominators of both fractions. Lastly, we'll state any restrictions on the variables.

1. Factor each term:
[(10b² + 42b + 36)/(6b² – 2b – 60)] : [(40b + 48)/(3b² – 13b + 10)]

(10b² + 42b + 36) = 2(5b² + 21b + 18) = 2(5b + 3)(b + 6)
(6b² - 2b - 60) = 2(3b² - b - 30) = 2(3b + 5)(b - 6)
(40b + 48) = 8(5b + 6)
(3b² - 13b + 10) = (3b - 2)(b - 5)

2. Substitute the factored terms back into the expression and cancel common factors:

[2(5b + 3)(b + 6) / 2(3b + 5)(b - 6)] : [8(5b + 6) / (3b - 2)(b - 5)]

Dividing by a fraction is equivalent to multiplying by its reciprocal, so:

[2(5b + 3)(b + 6) / 2(3b + 5)(b - 6)] * [(3b - 2)(b - 5) / 8(5b + 6)]

Now, cancel out common factors:

[(5b + 3)(b - 5) / (3b + 5)]

3. State any restrictions on the variables:

The restrictions on the variables are values of b that would cause the denominator to equal zero. In this case, those values are:

3b + 5 = 0
3b = -5
b = -5/3

So, the simplified expression is [(5b + 3)(b - 5) / (3b + 5)], with a restriction on the variable b ≠ -5/3.

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The average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet. the square footage is normally distributed. you randomly select 10 apartments in the town. what is the probability that the mean will be more than 1900 square feet?

Answers

If the average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet, the square footage is normally distributed and if you randomly select 10 apartments in the town, then the probability that the mean will be more that 1900 square feet is 0.46%

To find the probability, follow these steps:

We can use the Central Limit Theorem, which states that for large enough sample sizes, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. We can calculate the standard deviation of the sample mean using the formula:
Standard deviation of the sample mean = population standard deviation / square root of sample size
In this case, the standard deviation of the sample mean = 120 / √10 ≈ 37.95Next, we need to find the z-score, which measures how many standard deviations the sample mean is from the population mean. The formula for the z-score is:
z = (sample mean - population mean) / standard deviation of the sample mean
In this case, the sample mean is 1900 square feet, the population mean is 1800 square feet, and the standard deviation of the sample mean is 37.95.

z = (1900 - 1800) / 37.95 ≈ 2.64To find the probability that the mean will be more than 1900 square feet, we need to find the area to the right of the z-score of 2.64 in the standard normal distribution table (also known as the z-table).
Using the z-table, we find that the area to the right of 2.64 is approximately 0.0046.

Therefore, the probability that the mean will be more than 1900 square feet is approximately 0.0046, or 0.46%.

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What is the answer if you get the answer you get a reply

What is the answer if you get the answer you get a reply

Answers

Answer:

those that plus that each other is the equaling 93

Step-by-step explanation:

A dance team is going to spend $1,440 to purchase all sweatshirts or all jackets for the team
members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of sweatshirts or jackets the team can purchase?
The team can purchase ______ sweatshirts or _____ jackets.

Answers

Answer:

The team can purchase 60 sweatshirts or 45 jackets.

Step-by-step explanation:

Divide 1440 by 24 to get the total number of sweatshirts the team could buy. Then divide 1440 by 32 to get the total number of jackets they could buy.

Answer:

60 sweat shirt because 24÷1440=60

45 jackets because 32÷1440=45

EASY! Check my work and fill in the blanks!

EASY! Check my work and fill in the blanks!

Answers

Answer:

Step-by-step explanation:

EASY! Check my work and fill in the blanks!

An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%

Answers

Answer:

1) \(16\frac{2}{3}\)% or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

\(\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100\)

\(\Rightarrow \dfrac{2}{10}\times 100 = 20\%\)

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

\(\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%\)

Mrs. gomes found that 40% of students at her high school take chemistry. she randomly surveys 12 students. what is the probability that exactly 4 students have taken chemistry? round the answer to the nearest thousandth. p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction

Answers

Answer:

0.213

Step-by-step explanation:

→ Convert into binomial information

x ~ B ( 12 , 0.4 )

→ Write down probability required

p ( x = 4 )

→ Evaluate

0.2128

What is order of magnitude?

Answers

The magnitude of the number of the minutes in the school is 2.

What magnitude is 0 in?

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

Can a magnitude order be negative?

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

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Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

Ms. Sofia wrote a list of numbers on the board. 57,58,64,63,58,62,60

She then asked one of the students to add a number to the board. How will the median be affected if the student added 65 to the list?
A. The median will decrease by 1. B. The median will increase by 1. C. The median will increase by 5. D. The median will not change

Answers

On the board, Ms. Sofia scrawled a list of numerals. 57,58,64,63,58,62,60. She then requested that a pupil write a number on the board. If the student added 65 to the list, the median would not change.

To find the median of the given list of numbers, we need to arrange them in order from smallest to largest:

57, 58, 58, 60, 62, 63, 64

The median is the middle number in this list, which is 60.

Now let's consider what will happen if the student adds 65 to the list. The new list of numbers will be:

\(57, 58, 58, 60, 62, 63, 64, 65\)

To find the new median, we need to arrange these numbers in order:

\(57, 58, 58, 60, 62, 63, 64, 65\)

The new median will be the middle number in this list, which is still 60.

Therefore, the answer is D. The median will not change if the student adds 65 to the list.

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Enter an equation for the word sentence. Use the variable c for the cost.

Three times the cost is $27

Answers

Answer:

3 x C = $27

Is your expression.

3x28=c

am very smort  :D

What is the best classification for -4?

A natural number, whole number

B integer, rational number

C whole number, integer, natural number

D rational number, whole number

NEED HELP ASAP!!! ​

Answers

-4 is a integer because an integer is a negative number and a natural number, whole number, rational and a irrational number is not a negative number.

HELP!! IM MARKING BRAINLEST+33 POINTS!!
Find the measure of the exterior angle

HELP!! IM MARKING BRAINLEST+33 POINTS!!Find the measure of the exterior angle

Answers

3x+15+x=180
4x+15=180
4x=165
x=41.25°

Answer:

37

Step-by-step explanation:

Kinda complicated

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Victor was the younger son and brothera tte monte [hot-headed], with a temper which invited violence and a will which no ax could break.Which best explains why the author included both of these scenes in the story?a. to develop a contrast between the two sons of Madame Lebrunb. to develop an understanding of the role of women during the time periodc. to develop a contrast between Madame Ratignolle and Madame Lebrund. to develop an understanding of the role of men during the time period Which part of speech describes a verb?AdjectiveNounAdverbPrepositionHow does Mr. Stewart feel about good judgment and being in the right place at the right time?These traits have nothing to do with his line of work.The idea of good judgment does not affect his job.These traits used to be important, but they are no longer part of the job.These are essential skills that are very important in his line of work.How does making predictions while you are reading help you to be an active reader?It involves you in the story and asks you to think about what might happen next.It allows you to make up your own ending to the story.It helps you to read quickly and finish in less time.It involves you in outlining a nonfiction piece of writing.Which strategy is helpful when writing a book report?Read the book two or three times.Read the book quickly.Take notes while you are reading the book.Read only one chapter per day.Which of the following titles are examples of nonfiction?The Everglades and Santa PawsThe People's Republic of China and The EvergladesThe Wizard of Oz and The Mystery of the Purple PiratesThe History of Oklahoma and Danger on Vampire TrailWhat does the word immigrate mean?to come into a country or region for permanent residenceto regret for wrongdoingto have the legal right to the possession of somethingto deliver a message over long distances Three employees of a company, anna, fred and jose, have each worked on 12 projects. Each pair of people have worked on 4 together, including one project that all three have worked on as a team. What is the total number of projects? marking brainliest!! Arget profit:_________ a. is when sales and costs are exactly equal. b. equals differential costs. c. can be calculated by modifying the break-even equation. d. cannot be calculated in cost-volume-profit analysis. Which three elements affect air pressure?A. wind, Earths distance from the Moon, and cloudsB. Amount of plants, wind, and level of water in the oceanC. Height above sea level, temperature, and amount of water vaporD. Temperature, wind, and how much plant or animal life is aroundWill give brainliest, 5 star, thanks, and friend request Diversity begets stability", a term I have emphasized throughout our discussion in community ecology is still applicable in applied ecology, especially Conservation biology. What is the main logic behind this concept and what is the alternative argument? Under current U.S. copyright legislation, works produced on a for-hire basis and owned by firms enjoy monopoly protection for Pay attention to the following statements:p = Today the son went to the bookstore.q = Today Putra went to the supermarket.determine p qanswer choicesToday Purta goes to the bookstore or the super markettoday son did not go to the shop or to the supermarkettoday the son does not go to the supermarket and to the storetoday the son does not go to the bookstore or go to the supermarket what cultural types represent competing values? multiple choice market and hierarchy hierarchy and clan clan and adhocracy adhocracy and market adhocracy and hierarchy Who was a victim of Boston Massacre 5 pointsA. Thomas PaineB. Crispus AttucksC. John HancockD. Samuel Adams Solve and explain each? Lack of cohesiveness in a group can affect performance in which of the following ways? (Choose every correct answer.)Increased miscommunicationDecreased Productivity What are the six main reasons for Swift's proposal?