Which shows the Commutative Property of Addition?
A 2 (5+6)=2 (5) + 2(6)
B 3+ (7+ -2) = 3 +(-2+ 7)
C 13+ (-13) = 0
D-9+(3+4)= (-9 + 3) + 4

Answers

Answer 1

Answer:

B 3+ (7+ -2) = 3 +(-2+ 7)

Step-by-step explanation:

It shows that the answer is the same even if you switch the problem in the parentheses around


Related Questions

Is it possible or impossible for a graph to have exactly one vertex of odd degree. If so, describe the graph by giving its degree sequence. If not, explain why not.

Answers

It is impossible for a graph to have exactly one vertex of odd degree.

What is a vertex?

Vertex is  described as a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet.

The total of all vertices' degrees in any graph is always even. This is so because each edge adds two degrees—one for each endpoint—to the overall number of degrees.

The total number of degrees at all vertices must therefore be an even number.

If a graph had exactly one vertex of odd degree, the sum of the degrees of all other vertices would be even.

if we  add an odd degree to an even sum, the result would be in an odd total degree count, which contradicts the fact that the sum of all degrees in a graph is always even.

Learn more about graph  at:

https://brainly.com/question/19040584

#SPJ4

The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your steps

Answers

342/18 18 x 10= 180 342 - 180= 162 18 x 9= 90 + 72= 162 10+9= 19 The answer is 19

Graph on a coordinate plane P(-3,-5)

Answers

Answer:

Answer is in the image below

Answer:

P is simply the mark or letter that the point will be called. In this case we have -3,-5. You will move left 3 spaces from the origin and down 5 places from the spot you marked -3. After that will be point P

9. a) Why does every pair of whole
a
numbers have a GCF of 1 or greater?​

Answers

Answer:

A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.

Step-by-step explanation:

Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
What do you want from my world?
You're a good little girl♪♪♪

Answers

Answer:

Bad little boy

That's what you're acting like

I really don't buy

That you're that kind of guy

And if you are

Why do you want to hang out with me?

Step-by-step explanation:

i had to look in the internet hehe click the ❤️

please

Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.

Answers

Answer:

y=4x+5

Step-by-step explanation:

y=mx+c

gradient =m

y intercept=c

m=4

c=5

so

y=4x+5

Answer:

y=4x+9

Step-by-step explanation:

y=mx+b

y=4x+b

5=4(-1)+b

5=-4+b

b=9

y=4x+9

Need to help to find the slope pls helppp

Answers

Answer:

Step-by-step explanation:

easy

Answer:

it is 2

Step-by-step explanation:

rise over run

it goes up 2 points and

moves right 1 point

2/1 =2

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B (3, -4)

Step-by-step explanation:

A( -7, 2)

midpt ( -2, -1)

Equation:

(x + 5, y - 3)

Solve for B:

( -2, -1)

(x + 5, y - 3)

(3, -4)

Determine The Sum Of - -5-8-11--------269 b)1-3+9----243

Answers

Given expression are:

a) -5 - 8 - 11 -... - 269 = -11823.

b) 1 - 3 + 9 - ... + 243 = 364.

a) To find the sum of the given expressions, we first have to identify the type of the sequence.

The first expression is an arithmetic sequence with common difference -3.

Using the formula of the sum of arithmetic sequence, we can find the sum of the sequence.

Formula to find sum of n terms in an arithmetic sequence:

Sn = (n/2) [2a + (n-1)d]

where n is the number of terms in the sequence, a is the first term and d is the common difference)

To find the sum of the first expression, we need to calculate the number of terms in the sequence.

Given, First term, a = -5 Common difference, d = -3 Last term, l = -269

Using the formula for finding nth term in an arithmetic sequence:

l = a + (n-1)d-269

= -5 + (n-1) (-3)-269

= -5 -3n + 3-3n

= -267n = 89

Therefore, there are 89 terms in the sequence.

Now, using the formula of the sum of the arithmetic sequence:

Sn = (n/2) [2a + (n-1)d]S89

= (89/2) [2(-5) + (89-1) (-3)]S89

=  (89/2) [-10 - 264]S89

= -11823

The sum of the

is -11823.

b)The second expression is a geometric sequence with common ratio 3.

Using the formula of the sum of geometric sequence, we can find the sum of the sequence.

Formula to find sum of n terms in a geometric sequence:

S = [a(1-r^n)] / [1-r]where n is the number of terms in the sequence, a is the first term and r is the common ratio

To find the sum of the second expression, we need to calculate the number of terms in the sequence.

Given, First term, a = 1 Common ratio, r = 3 Last term, l = 243

Using the formula for finding nth term in a geometric sequence:

l = ar^(n-1)243

= 1 x 3^(n-1)3^(n-1)

= 243n-1 = 5n = 6

Therefore, there are 6 terms in the sequence.

Now, using the formula of the sum of the geometric sequence:

S = [a(1-r^n)] / [1-r]S

= [1(1-3^6)] / [1-3]S

= [1-729] / (-2)S

= 364

The sum of the geometric sequence is 364.

To learn more about sequence

https://brainly.com/question/30680339

#SPJ11

Let A = {1, 2, 3, 4} and B = {5, 6, 7}.

a). Give an example of an onto function f: A→B, or explain why this is impossible. (You can draw a graph, make a table, or list ordered pairs.)

b). Give an example of a one-to-one function g: A→B, or explain why this is impossible. (You can draw a graph, make a table, or list ordered pairs.)

c). Give an example of an equivalence relation on A, or explain why this is impossible. (You can draw a graph or list ordered pairs.)

Answers

The relation ‘equal to’ is an equivalence relation on A.

a) To give an example of an onto function f: A → B, we need to ensure that every element in set B is mapped to from set A. Since set B has three elements (5, 6, 7) and set A has four elements (1, 2, 3, 4), it is impossible to have an onto function from A to B.

This is because there are more elements in A than in B, so at least one element in B will not have a corresponding element in A.

b) A function g: A → B is a one-to-one function if each element of set A is paired with a distinct element in set B. Let us create a table to get the one-to-one function g.

Table of one-to-one function gA1234B5677The function g: A → B can be defined by g(1) = 5, g(2) = 6, g(3) = 7 and g(4) = 7.

Hence, this is a one-to-one function.

c) An equivalence relation is a relation that is reflexive, symmetric, and transitive.

We can define an equivalence relation on set A using the relation ‘equal to’. Every element of set A is equal to itself, i.e., ∀ a ∈ A, a = a.

Hence, this is a reflexive relation on A. Also, if a and b are two elements of A such that a = b, then b = a.

Hence, this is a symmetric relation on A. Also, if a, b, and c are three elements of A such that a = b and b = c, then a = c. Hence, this is a transitive relation on A.

To learn more about : equivalence relation

https://brainly.com/question/15828363

#SPJ8

mary says the pen for her horse is an acute right triangle. Is this possible?

Answers

we know that
An acute triangle is a triangle with all three angles acute (less than 90 degree ).

An obtuse triangle is one with one obtuse angle (greater than 90 degree) and two acute angles.

A right triangle is one with one right angle (angle equal to 90 degree ) and two acute angles.

therefore

The answer is

Is not possible

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

a no b yes c no d no e yes

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP ​

Answers

Answer:

so so so sorry I usually don't do this but you know

Step-by-step explanation:

should have never be a

Consider the function f() = x ln (2+1). Interpolate f(T) by a second order polynomial on equidistant nodes on (0,1). Estimate the error if it is possible.

Answers

To interpolate the function f(x) = x ln(2+1) by a second-order polynomial on equidistant nodes on the interval (0,1), we can use the Lagrange interpolation formula.

To interpolate f(T) by a second-order polynomial on equidistant nodes on (0,1), we need three equidistant nodes. Let's denote these nodes as x₀, x₁, and x₂, with x₀ = 0, x₁ = h, and x₂ = 2h, where h = (1-0)/2 = 1/2.

We can construct the Lagrange polynomial P₂(x) of degree 2 that interpolates f(x) at these nodes. The Lagrange interpolation formula for P₂(x) is:

P₂(x) = f(x₀) × L₀(x) + f(x₁) × L₁(x) + f(x₂) × L₂(x)

where L₀(x), L₁(x), and L₂(x) are the Lagrange basis polynomials.

Using the given function f(x) = x ln(2+1), we can evaluate f(x₀), f(x₁), and f(x₂). Plugging these values into the Lagrange interpolation formula, we obtain the second-order polynomial interpolation for f(T).

To estimate the error, we can use the error formula for polynomial interpolation. The error term E(x) is given by:

E(x) = f(x) - P₂(x)

To calculate the error, we would need to evaluate the derivative of f(x) and find its maximum value on the interval (0,1). However, without knowing the interval (T), we cannot estimate the error.

In summary, we can interpolate f(T) by a second-order polynomial on equidistant nodes on (0,1) using the Lagrange interpolation formula. However, without specifying the interval (T), it is not possible to estimate the error.

Learn more about polynomial here:

brainly.com/question/11536910

#SPJ11

Help me PLZZ it’s worth 20 points

Answers

Answer: uhhhhhhhhhhhhhhhhhhh whats the question?

Step-by-step explanation:

Solve for n. c/d = d/c - 1/n

Answers

Answer:

Hi! The other answer is not correct to your question

The answer to your question is n= [tex]\frac{dc}{(c+d)(c-d)}[/tex]

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable n

※※※※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

Given f(x)=3x^2+kx+9, and the remainder when f(x) is divided by x-3 is 6, then what is the value of k?

Answers

Answer:

k = - 10

Step-by-step explanation:

6=9+3(k+9)

3(k+9)=-3

k+9= -1

k= -10

The value of k is -10.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given a function 3x² + kx + 9.

Divide the function with x - 3.

Do the long division process.

After doing the long division,

(3x² + kx + 9) / (x - 3), we get the quotient as 3x + (k + 9) and the remainder as 9 + 3(k + 9).

9 + 3(k + 9) = 6

3(k + 9) = -3

k + 9 = -1

k = -1 - 9

k = -10

Hence the number k has the value -10.

Learn more about Division here :

https://brainly.com/question/21416852

#SPJ2

Can a simple directed graph G = (V, E) with at least three vertices and the property that deg+(v) + deg¯(v) = 1, Vv € V exist or not? Show an example of such a graph if it exists or explain why it cannot exist.

Answers

No, such a simple directed graph with at least three vertices and the property that deg+(v) + deg¯(v) = 1 cannot exist.

The property deg+(v) + deg¯(v) = 1 implies that for every vertex v in the graph, the sum of its in-degree (deg¯(v)) and out-degree (deg+(v)) is equal to 1. In a directed graph, the in-degree of a vertex represents the number of incoming edges, while the out-degree represents the number of outgoing edges.

If we consider a graph with at least three vertices, let's say v1, v2, and v3, and apply the given property, we would have:

deg+(v1) + deg¯(v1) = 1

deg+(v2) + deg¯(v2) = 1

deg+(v3) + deg¯(v3) = 1

However, this leads to a contradiction. In a directed graph, the sum of in-degrees and out-degrees of all vertices is always equal. Therefore, if we sum up the equations above, we would get:

deg+(v1) + deg+(v2) + deg+(v3) + deg¯(v1) + deg¯(v2) + deg¯(v3) = 3

Since each term on the left-hand side of the equation is at least 1 (due to the property), the sum would be at least 6. This contradicts the fact that the sum should be equal to 3.

Hence, a simple directed graph with at least three vertices and the property deg+(v) + deg¯(v) = 1 cannot exist.

Learn more about vertices here:

https://brainly.com/question/29154919

#SPJ11

Jeremiah and his children went into a bakery and he bought $20 worth of cupcakes and cookies. Each cupcake costs $5 and each cookie costs $1.25. He bought 4 times as many cookies as cupcakes. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Jeremiah bought.

Answers

Answer: (2,8)

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

y=-4x+16

What two numbers multiply to -5 and add to 4?

Answers

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

No image, Find the volume of a garden
seat in the shape of a
triangular prism with a height
of 30 inches and a base area
of 72 in^2 *Hint* Base
area means
they have
already
calculated
the area of
the base for
you! 

Answers

Answer:

volume = 720 in³

Step-by-step explanation:

volume = 1/3Bh = 1/3 x 72 x 30 = 720 in³

1. For all named stors that have made landfall in the United States since 2000, of interest is to determine the mean sustained wind speed of the storms at the time they made landfall in this scenario, what is the population of interest?

2. Based on the information in question 1, what is the parameter of interest?
A. The average π sustained wind speed of the storms at the time they made landfall
B. The mean µ of sustained wind speed of the storms
C. The proportion µ of the wind speed of storm
D. The mean µ usustained wind speed of the storms at the time they made landfall
E. The proportion π of number of storms with high wind speed

Answers

1. The population of interest are all named storms that have made landfall in the United States since 2000.

2. The parameter of interest is the mean µ of sustained wind speed of the storms. Therefore, the correct answer is option B.  

The other options are not correct as follows:

Option A. The average π sustained wind speed of the storms at the time they made landfall - The term "average" is equivalent to "mean." However, π is not applicable since it denotes the constant 3.14159....

Option C. The proportion µ of the wind speed of storm - Proportion refers to a fraction or percentage of a whole, so this answer is illogical because µ denotes the mean.

Option D. The mean µ of sustained wind speed of the storms - This answer is wrong because it is not the correct order.

Option E. The proportion π of the number of storms with high wind speed - This answer is incorrect since π denotes the constant 3.14159..., and it is not applicable in this context.

Learn more about population of interest: https://brainly.com/question/30512815

#SPJ11

Final answer:

The population of interest is all named storms that have made landfall in the United States since 2000. The parameter of interest would be the mean sustained wind speed of the storms at the time they made landfall, as you're seeking the average wind speed at the moment of landfall.

Explanation:

The population of interest refers to the complete group of individuals or cases that a researcher is interested in studying. In this case, it would be all named storms that have made landfall in the United States since 2000.

The parameter of interest is a numerical measure that describes a characteristic of a population. Based on the information in question 1, the parameter of interest would be D. The mean µ sustained wind speed of the storms at the time they made landfall. This is because you're interested in knowing the average wind speed of the storms at the moment they hit the land, not the proportion of storms with high wind speed or any other aspect of the storms.

Learn more about Statistics here:

https://brainly.com/question/31538429

#SPJ12

lily wants to put a bird food mix in her bird feeder.Her bird feeder can hold 8 cups of bird food.The bird food is a mix of 20% corn and the rest is sunflowers seeds how many cups of corn will lily need to fill the 8 cup bird feeder.If the rest of the mix is sunflower seed,what percent of the bird food is sunflower seed.

Answers

Answer:

80%

Step-by-step explanation:

100% is full so you do 100%-20%=80% so thats the answer

Helpoopooo please !!!!!!

Answers

Answer:

I believe the answer is 2/3

Step-by-step explanation:

The null hypothesis is that the laptop produced by HP can run on an average 120 minutes without recharge and the standard deviation is 25 minutes. In a sample of 60 laptops, the sample mean is 122 minutes. Test this hypothesis with the alternative hypothesis that average time is not equal to 120 minutes. What is the p-value?

Answers

The p-value can be calculated to test the null hypothesis that the average running time of HP laptops is 120 minutes against the alternative hypothesis that it is not equal to 120 minutes.

The p-value for testing the hypothesis that the average time for the HP laptops is not equal to 120 minutes can be calculated using a t-test. Given a sample mean of 122 minutes, a sample size of 60, a null hypothesis mean of 120 minutes, and a standard deviation of 25 minutes, we can calculate the t-value and find the corresponding p-value.

To calculate the t-value, we use the formula: t = (sample mean - null hypothesis mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values, we get: t = (122 - 120) / (25 / sqrt(60))

Calculating the t-value, we find t ≈ 0.894

To find the p-value associated with this t-value, we can refer to a t-distribution table or use statistical software. The p-value represents the probability of observing a t-value as extreme as the one obtained, assuming the null hypothesis is true.

Since the p-value (0.757) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the average running time of HP laptops is significantly different from 120 minutes.

To know more about t-tests , refer here:

https://brainly.com/question/1189751#

#SPJ11

Question 10 of 10
What is the value of y?
10"
50
A. 30°
B. 40°
C. 50°
D. 60°

Answers

Answer:

i think ik it the aswer is c

what is 1 2/7- 3/4 equal to

Answers

9514 1404 393

Answer:

  15/28

Step-by-step explanation:

We can rearrange the problem a bit and make it a little simpler.

  1 2/7 - 3/4 = (1 -3/4) + 2/7 = 1/4 + 2/7

  = (7+4·2)/(4·7) = 15/28

_____

The sum of fractions can always be found by ...

  [tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\\\\\dfrac{1}{4}+\dfrac{2}{7}=\dfrac{1\cdot7+4\cdot2}{4\cdot7}=\dfrac{7+8}{28}=\dfrac{15}{28}[/tex]

Please help me on this question if you would want brianleist!! Tank yah!! ^^

Answers

False

Explanation: Coordinate Planes are made of 2 intersecting perpendicular lines.

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

3x6= 18 then 14000 x 18 = 252,000

A cone has a volume of 100[tex]\pi[/tex] Cubic units and a diameter of 10 units. What is the height of the cone?

Answers

Answer:

12 units

Step-by-step explanation:

The formula for the volume of a cone is given as:

πr²h/3

The volume = 100π cubic units

Diameter = 10 units.

Radius = Diameter/2

= 10 units/2 = 5 units

Hence:

Formula to find the height of a cone

h = 3V/πr²

We substitute

h = 3 × 100π/π × 5²

h = 300π/25π

h = 12 units

The height = 12 units

Other Questions
What is the overall energy transformation in a coal-fired power plant?1.electrical to chemical2.chemical to electrical 3.nuclear to radiant4.radiant to nuclear Crescent Moons Consider the two views of the crescent moon in the figure to the right. The moon can have either of these two appearances just above either the east or west horizon depending on... (i) the time of day whether the moon is waxing or waning 1. Rotate your person so that it is just after sunset. a. Which crescent moon can the person see above the horizon at this time? Waxing or waning? b. Which figure does the person see (i) or (ii)? (Hint: from the person's view, is the horizon closer to the lit side or the dark side?) c. At which horizon is the moon? East or West? 2. Rotate your person so that it is just before sunrise. a. Which crescent moon can the person see above the horizon at this time? Waxing or waning? b. Which figure does the person see (i) or (ii)? (Hint: from the person's view, is the horizon closer to the lit side or the dark side?) c. At which horizon is the moon? East or West? 3. When the moon is a waxing crescent, someone sees view (ii) just above the horizon. a. What time is it? b. At what horizon is the moon? 4. When the moon is a waning crescent, someone sees view (ii) just above the horizon. a. What time is it? b. At what horizon is the moon? Dark Side of the Moon 1. At any time, how much of the moon's entire surface is illuminated by the sun? 2. The moon has a side that always faces the earth (near side). The other side of the moon always faces away from the earth (far side, only visible by spacecraft going around the moon). Is the far side of the moon always completely dark, or can it be lit up even though we can't see it? Explain. Under which of the following circumstances would a disclaimer of opinion not be appropriate? A The auditor is unable to determine the amounts associated with an employee fraud scheme Management does not provide reasonable justification for a change in accounting principles. C The chief executive officer is unwilling to sign the management representation letter The client refuses to permit the auditor to confirm certain accounts receivable or apply alternative procedures to verify their balances. B D Ajar has marbles in these three colors only: 3 green, 1d blue, 10 red. What is the probability of randomly choosing a red marble? suppose that 8 rooks are randomly placed on a chessboard. what is the probability that none of the rooks can capture any of the others Modern western Economics system were adopted from the great Islamic civilisation. We see problems in the current economics system. How can we correct the system barton industries can issue perpetual preferred stock at a price of $52 per share. the stock would pay a constant annual dividend of $3.41 per share. if the firm's marginal tax rate is 25%, what is the company's cost of preferred stock? round your answer to two decimal places. Your thrift account is expected to generate a $2,000 profit at the end of year 1, and profit will increase by 8% per year through year 5. If you can earn 12% annual interest compounded annually, what is the present value of all your profits over the next 5 years? SHOW A "ROUGH" CASH FLOW DIAGRAM SHOW YOUR WORK ON HOW YOU CAME TO THE ANSWER find a power series representation for the function. f(x) = arctan x 6 f(x) = [infinity] n = 0 determine the radius of convergence, r. r = A piece of unknown metal with a mass of 20.4 g is heated to 108.4C and then dropped into a coffee cup calorimeter containing 187.4 g of water at 10.3C. When thermal equilibrium is reached, it is found that the temperature of the water increased by 3.2C. What is the specific heat of the unknown metal? Note: Specific Heat Capacity of water =4.18 J/gC According to the straight-line depreciation method, an equal amount of depreciation expense is assigned to each year of the asset useful life O True O False TRUE / FALSE.9. ISO 9000 is grounded on the conformance to specification definition of quality. True __ False____10. Work performance data is input to quality control. True __ False____ A good's demand is given by: P = 707 - 4Q. At P = 98, the point price elasticity is: Enter as a value (ROUND TO TWO DECIMAL PLACES). this literary movement encouraged a break with traditions of the past, and a use of experimental techniques. question 1 options: a) realism b) industrialization c) modernism d) mechanism On December 31 of the current year, State Construction Inc. signs a contract with the state of West Virginia Department of Transportation to manufacture a bridge over the New River. State Construction anticipates the construction will take three years.The companys accountants provide the following contract details relating to the project:Contract price $624 millionEstimated construction costs $480 millionEstimated total profit $144 millionDuring the three-year construction period, State Construction incurred costs as follows:Year 1 $48 millionYear 2 $288 millionYear 3 $144 millionState Construction uses the cost-to-cost method to recognize revenue.Which of the following represent the revenue recognized in Year 1, Year 2, and Year 3?Select one:a. $62 million, $312 million, $250 millionb. $62 million, $374 million, $187 millionc. $0 million, $0 million, $624 milliond. $60 million, $376 million, $188 millione. None of these are correct. Determine the size of your investment account 30 years from now (when you plan to retire) if you deposit $12,000 each year, beginning 1 year from now, and the account earns interest at a rate of 10% per year. Draw the cash flow. The European Union contemplates imposing tariffs on imported solar panels. As- suming that the market for solar panels is competitive and that the EU is a large actor in global trade, the effects of such an action on the surplus of European con- sumers, European producers and on the EU as a whole (net effect) are: (a) consumer surplus will decrease, producer surplus will increase and the net effect will be negative (b) consumer surplus might increase or decrease, producer surplus will increase and the net effect will be negative (c) consumer surplus will decrease, producer surplus will increase and the net effect might be positive or negative (d) consumer surplus will decrease, producer surplus might increase or decrease and the net effect will be negative reflect on what you have learned. For this assignment, please follow the steps outlined below: Gain From Trade Discussion Question There are two people: Brandon, who is really, really good at cleaning front yards and mowing lawns; and Jim, who doesn't have front yards or lawns in his current time and is worse than Brandon at both. In the course of a weekend, Brandon can clean ten front yards or mow five lawns. Jim, on the other hand, can clean only one front yard or mow only two lawns. Can two people still gain from trade even if one person is a lot better at both jobs than the other person? Please use opportunity cost and comparative advantage to analyze and give the answer. THREE PROMPTS for this discussion forum: 1) What is opportunity cost and what is comparative advantage? 2) Calculate and compare opportunity costs to show who has the comparative advantage in cleaning front yard and who has the comparative advantage at mowing lawns? 3) Give your conclusion on whether Brandon and Jim can both gain from trade as per the principle you newly learned. DIRECTIONS: Engage in the discussion in the following ways: Begin your own thread by clicking on the "Reply" button beneath these directions Review existing threads and join the conversation by clicking on the "Reply" button beneath your peers' posts Reply to TWO of your peers' posts with ideas or suggestions as feedback by doing the TWO following tasks: Providing specific feedback about your peers' view on the discussion. o Asking or clarifying question in response to your peers' posts, or describing a different idea or analysis that you have Country A has determined that their full-employment level of national income is $840 at an unemployment rate of 6%. Country A was producing at this point in January 2022, but recent measures of output indicate that Country A's present level of national income is $610 with unemployment now at 9%. Further economic analysis has determined that when national income in Country A rises by $15, consumption in Country A increases by $3.1) What type of output gap is Country A experiencing? (1pt)2) The increase in unemployment is an increase in what type of unemployment? (1pt)3) A worker for Country A's central bank, Ms. X, believes it is best to reduce this gap through monetary policy. Based on the above information, what type of open market operations would Ms. X suggest Country A's bank undertake? (Ipt). Use a liquidity- preference diagram to show what impact this open-market operation policy will have on interest rates. Also explain what impact the policy will have on output, unemployment, and inflation.4) In opposition to Ms. X. Ms. Z believes this the government should close this output gapusing fiscal policy. Based on Ms. Z's recommendations,a. What is the size of the multiplier? (2pts) b. If government transfer payments remain unchanged, by how much will G need to change to close this output gap? (for now, assume there is no crowding out effect)(2pt) c. What is the size of the tax multiplier? (2pts) d. If G remains unchanged, by how much will government transfer payments need tochange to close this output gap? (for now, assume there is no crowding out effect) Constitutive mutations may occur in various components of the lac operon. Mutations in which two genes are constitutive? lac__ and lac ___.2.The ara operon is controlled by a regulator protein that exerts ________.induction and expressiontop and bottom controlupward and reverse controlexpressivity and penetrancepositive and negative control