A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A

Answers

Answer 1

Answer:

\(\angle A=17\textdegree\)

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

\(\angle A+\angle B=90\)

Since we know their equations, substitute:

\((x+8)+(8x+1)=90\)

Solve for x. Combine like terms on the left:

\(9x+9=90\)

Subtract 9 from both sides:

\(9x=81\)

Divide both sides by 9:

\(x=9\)

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

\(\angle A=x+8\)

Substitute 9 for x:

\(\angle A=9+8\)

Add:

\(\angle A=17\textdegree\)

So, the measure of A is 17°.


Related Questions

The relationship between temperature in degrees Fahrenheit and1 degrees Celsius is shown in the graph. What is the meaning of the y- intercept?

The relationship between temperature in degrees Fahrenheit and1 degrees Celsius is shown in the graph.

Answers

The y-intercept is the initial condition, it represents the degrees Fahrenheit with 0 Celcius.

Hence, the third option is correct.

please help me it is due today

please help me it is due today

Answers

Answer:

B

Step-by-step explanation:

A give me 2'zero

b give me 9'zero

c give 8'zero

d gives 5 zero

e give me 4'zero

for example it give me two zero it 100

or if five 5 zero it 100000

hope this helps

just number them pls

just number them pls

Answers

1,2,4 bc non of their x values repeat.

Given f = {(1, 2), (−1, 2), (2, 1), (2, −1)} A) Find the Domain and Range of f B) Find f(-1) C) Find the value of x such that f(x) = -1

Answers

A) To find the domain and range of a function, we need to examine the set of all possible input values (domain) and the set of all possible output values (range).

For the given function f = {(1, 2), (−1, 2), (2, 1), (2, −1)}, the domain is the set of all x-values in the ordered pairs, which in this case is {1, -1, 2}. Therefore, the domain of f is {1, -1, 2}. Similarly, the range is the set of all y-values in the ordered pairs. Looking at the given function, we have y-values of 2, 1, and -1. Hence, the range of f is {2, 1, -1}.

B) To find f(-1), we need to determine the value of the function when the input is -1. From the given function f = {(1, 2), (−1, 2), (2, 1), (2, −1)}, we can see that f(-1) = 2. Therefore, f(-1) is equal to 2.

C) To find the value of x such that f(x) = -1, we need to determine the input value (x) that gives an output of -1. From the given function f = {(1, 2), (−1, 2), (2, 1), (2, −1)}, we can see that there is no ordered pair where the y-value is -1. Therefore, there is no value of x for which f(x) is equal to -1.In summary, the domain of f is {1, -1, 2}, the range is {2, 1, -1}, f(-1) = 2, and there is no value of x such that f(x) = -1.

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Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.

Answers

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Help plz
Is the triangles similar? Why or why not?

Help plz Is the triangles similar? Why or why not?

Answers

Answer:

No, because the bigger triangles area is 10800, and the smaller one is 4500 so they are different.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because if you flip the triangle vertically, it scales by 3x

so

15 x 3 = 45

25 x 3 = 75

12 x 3 = 36

use the given number line to answer questions 1-3.

(1) Is -7 a solution to this inequality?
yes or no?
(2) is 1/2 a solution to this inequality?
yes or no?
(3) is -8.5 a solution to this inequality?
yes or no?​

use the given number line to answer questions 1-3.(1) Is -7 a solution to this inequality? yes or no?(2)

Answers

Answer:

To represent 1/3 on a number line, we divide the gap between O and A into 3 equal parts. Let T and Q be the points of division. Then, T represents 1/3 and Q represents 2/3, because 2/3 means 2 parts out of 3 equal parts as shown below. By using the same procedure, point O represents 0/3 and point A represents 3/3.

Solve by graphing. Round to the nearest tenth. x^2+5x+3=0 a. -4, -1 b. -4.3, -0.7 c. -4, 1.7 d. -4.2, 1

Answers

By graphing the equation x^2 + 5x + 3 = 0, we can determine the approximate solutions to be -4.3 and -0.7, rounded to the nearest tenth. Therefore, the correct answer is option b, -4.3, -0.7.

To solve the equation x^2 + 5x + 3 = 0 by graphing, we plot the graph of the quadratic function y = x^2 + 5x + 3 and find the x-values where the graph intersects the x-axis.

When we graph the quadratic function, we observe that it intersects the x-axis at two distinct points. By examining the graph, we can estimate the approximate x-values of these points.

Rounding to the nearest tenth, we find that the solutions are approximately -4.3 and -0.7. Comparing these values to the options provided, we see that option b, -4.3, -0.7, is the closest match.

Therefore, by graphing the equation x^2 + 5x + 3 = 0, we determine that the approximate solutions are -4.3 and -0.7, rounded to the nearest tenth, leading us to choose option b as the correct answer.

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a professor at a local university noted that the exam grades of her students were normally distributed with a mean of 65 and a standard deviation of 18. according to the professor's grading scheme only the top 12.3 percent of her students receive grades of a. what is the minimum score needed to receive a grade of a?

Answers

The minimum score needed to receive a grade of A is approximately 86.06.

To find the minimum score needed to receive a grade of A, we need to determine the cutoff point that corresponds to the top 12.3 percent of students in a normal distribution with a mean of 65 and a standard deviation of 18.

First, we need to find the z-score associated with the top 12.3 percent.

The z-score represents the number of standard deviations a data point is from the mean.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the top 12.3 percent.

The z-score is approximately 1.17.

Next, we can use the formula for z-score conversion to find the corresponding score value:

z = (x - μ) / σ

Rearranging the formula to solve for x (the score):

x = z * σ + μ

Plugging in the values:

x = 1.17 * 18 + 65

x ≈ 86.06

Therefore, the minimum score needed to receive a grade of A is approximately 86.06.

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need assistance with alegbra 2

need assistance with alegbra 2

Answers

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.

1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.

2. Jada is the 36th customer.

a. Will she get a prize? If so, what prize will she get?

b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning.

3. How many prizes total will Lin’s uncle give away? Explain your reasoning.

Answers

Answer:

1. Yes, 1 position backwards

2. Yes, a free blueberry muffin and a free slice of carrot cake

b. Yes

3. 19 prizes

Step-by-step explanation:

The given conditions for winning a prize are as follows;

The prize that every 5th customer gets = A free bagel

The prize that every 9th customer gets = A free blueberry muffin

The prize that every 12th customer gets = A free slice of carrot cake

Therefore, the prizes will go to the 5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th positon customers

1. Diego being 23rd is right for thinking that he should get farther back in line in order to get a prize

He should get one position behind to 24th position

The reason is because prizes will be given to every 12th customer, and the 24th customer is the second 12th customer

2. Yes Jada will get a price as her position corresponds to the consecutive 9th and 12th customers position

Jada will get a free blueberry muffin and a free slice of carrot cake

b. It is possible for Jada to get more than one prize

This is so because her position coincides with the consecutive 9th and 12th customers position

3. The number prizes that Lin's uncle gives away are;

5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th = 17 prizes

including 1 extra prize each for the 36th and 45th customers which gives a total of 19 prizes.

please help 50 points

please help 50 points

Answers

Answer:

See attached

Step-by-step explanation:

Table filled in, see picture

The first column contains points with coordinates (x, y)The second column contains the rule (x + (-4), y + 2)The third column is obtained by applying the rule. Showing this for one of the vertices:Q: (1, 4) Apply rule: (1 + (-4), 4 + 2) = (1 - 4, 6) = (-3, 6)Get coordinates of Q' from previous step: (-3, 6)

So you get Q'(-3, 6) from Q(-1, 4) by applying the rule (x + (-4), y + 2).

Same steps for other vertices done and shown in the table.

Hope it is more clear.

please help 50 points

Answer:

clearly the answer is what the other guy said.... he big brain

Step-by-step explanation:

Y=2(-8)+7. How do I do this ???

Answers

Answer:

y=−9

Step-by-step explanation:

Let's solve for y.

y=(2)(−8)+7

Answer:

y=-9

Step-by-step explanation:

Y=2(-8)+7

first multiply

Y=-16+7

add like terms

y=-9

are the triangle below congruent ?

are the triangle below congruent ?

Answers

both are true #18 is right because ΔABD and ΔCBE are congruent they are congruent because they both take up two of the three smaller triangles. #19 is right because ΔABE and ΔDBC are congruent they are congruent because  they both only take up one of the smaller trianges inside.

hope this helps!

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

i’ll make you brainliest

Find the area of this trapezoid. Be sure to include the correct unit in your answer.ill make you brainliest

Answers

Answer:

117yd^2

Step-by-step explanation:

First find area of rectangle = length times width = 63(7*9)

Then find area of triangle = 1/2 length times width = 54(1/2*12*9)

The 12 is from 19 minus 7

Use the discriminant to describe the roots of each equation. Then select the best description. 2x2 + 7x + 6 = 0 real and irrational roots real and rational roots double root non-real roots

Answers

Answer:

roots are real and rational

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

b² - 4ac

the discriminant informs on the nature of the roots

• if b² - 4ac > 0 then roots are real and irrational

• if b² - 4ac > 0 and a perfect square, then roots are real and rational

• if b² - 4ac = 0 , then roots are real and equal

• if b² - 4ac < 0 , then the roots are not real

for 2x² + 7x + 6 = 0 , in standard form

with a= 2, b = 7 , c = 6 , then

b² - 4ac = 7² - (4 × 2 × 6) = 49 - 48 = 1

since b² - 4ac > 0 and a perfect square, then the roots are real and rational

I need help ASAP please

I need help ASAP please

Answers

Answer:

b=13/12

Step-by-step explanation:

Good luck :)

If "C" is the total cost in dollars($) to produce q units of a product, then the average cost per unit for an output of q units is given by c = c/q Thus if the total cost equation is c = 5000 + 6q, then c = 5000/q + 6 given that the fixed cost is $12,000 and the variable cost is given by the function cv = 7q

Answers

Thus,  the average cost per unit for an output of q units is given by the equation c/q = 12000/q + 7, where the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.

The given equation for the total cost of producing q units of a product is c = 5000 + 6q.

To find the average cost per unit for an output of q units, we need to divide the total cost by the number of units produced.

Thus, the average cost per unit can be written as c/q.

Substituting the given equation for c in terms of q, we get

c/q = (5000 + 6q)/q.

Simplifying this expression, we get c/q = 5000/q + 6.

Now, we are given that the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.

The total cost equation c can be written as the sum of the fixed cost and the variable cost, i.e., c = 12000 + cv. Substituting the given equation for cv, we get c = 12000 + 7q.

Substituting this equation for c in terms of q in the expression we derived earlier for c/q, we get c/q = (12000 + 7q)/q. Simplifying this expression, we get c/q = 12000/q + 7.

Therefore, the average cost per unit for an output of q units is given by the equation c/q = 12000/q + 7, where the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.

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Sarah wrote a computer program that generates two random numbers between one and nine. when she runs it, what is the probability that both values will be six

Answers

Answer:25/121

Step-by-step explanation:

Which of the following determines the type of tree species found in a temperate broadleaf forest? (Select all that apply.)
Group of answer choices

consumers

temperature

soil conditions

precipitation

QUICLKY IM TIMED

Answers

Temperature and precipitation

Find (f0f)(81)
f(x)=sqrt{x}​,g(x)=(x−7)^2

Answers

From the given function f(x) the value of expression f(f(81)) is equal to 3.

Let's see how to find the answer to the question:

Find (f0f)(81)

In the given question, we need to find the value of (f0f)(81). This notation means (f◦f)(81).

Given that f(x)= sqrt(x) and g(x) =\((x - 7)^2\).

We know that to find (f◦f)(x), we need to evaluate f(f(x)).

This means we need to first evaluate f(x), and then evaluate f(f(x)).

To find (f◦f)(81), we need to find f(f(81)).

Using the function f(x), we find f(81):

f(81) = sqrt(81) = 9

Now, we use the function f(x) again to find f(f(81)):

f(f(81)) = f(9)

= sqrt(9)

= 3

Thus, we have found that

(f◦f)(81) = f(f(81))

= 3

Hence, the value of (f0f)(81) is 3.

Therefore, the value of (f0f)(81) is 3.

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22 + 63 is the same as 20 +

Answers

Answer:

22 + 63 = 20 + 65

Step-by-step explanation:

Hope this helps!

Answer:

22 + 63 is the same as 20 +  65

Step-by-step explanation:

Hope this helped!

seven more than three times a number is 25 what is the number? please help asap thank u so much

Answers

Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 \(*\\\) 6 = 18

2. 18 + 7 = 25

Describe at least three dangers of oversharing online.

Answers

Answer:

If you overshare online your talking to strangers who can learn more about you

Step-by-step explanation:

Another danger is that they can find out more about you and try to kidnap you

Answer:

See explanation.

Step-by-step explanation:

1.

Someone can steal your information.

2.

They can pretend to be you, if your info is stolen.

3.

They can pretend to be someone else. They can also get you out of your school or college, and cause you harm.

hope this helps.

Find the coterminal angle between 0 and 360°of the angle -280°

Answers

Answer: So, the coterminal angle of 450° is -90°.

Step-by-step explanation:(i) 395°  

Write 395° in terms of 360°.

395°  =  360° + 35°

So, the coterminal angle of 395° is 35◦

(ii) 525°

Write 525° in terms of 360°.

525°  =  360° + 165°  

So, the coterminal angle of 525° is 165°.

(iii) 1150°

Write 1150° in terms of 360°.

1150°  =  3(360°) + 70°  

So, the coterminal angle of 1150° is 70°.

(iv) -270°

Write -270° in terms of 360°.

-270°  =  -360° + 90°

So, the coterminal angle of 270° is 90°.

(v) -450°

Write -450° in terms of 360°.

-450°  =  -360° - 90°  

So, the coterminal angle of 450° is -90°.

how do you determine which actual parameter (argument) to assign to each formal parameter? group of answer choices the names of the formal parameters must match. the order of the parameters indicates how they are assigned. you can only pass only one parameter to a function. you must manually assign each parameter at the beginning of the function.

Answers

The actual parameter (argument) to assign to each formal parameter is the order of the parameters indicates how they are assigned (option b).

The answer choice that determines which actual parameter (argument) to assign to each formal parameter depends on the programming language and the function definition.

Answer choice (b) is generally correct: the order of the parameters indicates how they are assigned. In many programming languages, the parameters are assigned in the order they appear in the function definition. When calling the function, you pass the actual arguments in the corresponding order.

Answer choice (a) is not always true. While some programming languages require the names of the formal parameters to match the names of the actual arguments, others may allow different names as long as the order is maintained.

Answer choice (c) is incorrect. Functions can accept multiple parameters, not just one.

Answer choice (d) is also incorrect. In most programming languages, you don't need to manually assign each parameter at the beginning of the function. The assignment is handled automatically when the function is called with the appropriate arguments.

So, the most accurate answer is (b) - the order of the parameters indicates how they are assigned.

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-- The given question is incomplete, the complete question is

"How do you determine which actual parameter (argument) to assign to each formal parameter?

a. the names of the formal parameters must match.

b. the order of the parameters indicates how they are assigned.

c. you can only pass only one parameter to a function.

d. you must manually assign each parameter at the beginning of the function." --

5 million and 300 in standard form

Answers

5 million, 4 thousand and 3 hundred in the standard form is 5,004,,300

Find the solution set of the inequality
- 4x +35> 2

Answers

Answer:

There is a answer to the question

Find the solution set of the inequality- 4x +35&gt; 2

Answer:

Inequality Form:

x

<

33

4

Interval Notation:

(

,

33

4

)

Step-by-step explanation:

Mehl (2007) published a study in the journal Science reporting the results of an extensive study of 396 men and women comparing the number of words uttered per day by each sex. He found that on average women uttered 16,215 words a day and men uttered 15,669 words a day. The effect size calculated on the basis of his findings is Cohen's d = 0.02. According to Cohen's conventions for interpreting d, this effect is:
a. small.
b. medium.
c. large.
d. so small as to be considered virtually no effect.

Answers

Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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solve the given initial-value problem. d2x dt2 + ω2x = f0 sin ωt, x(0) = 0, x '(0) = 0

Answers

The solution to the given initial-value problem is  x(t) = c1(e-ωt - eωt) = 2c1 sin ωt

The given initial-value problem is a second-order differential equation: d2x dt2 + ω2x = f0 sin ωt, x(0) = 0, x '(0) = 0

First, we can solve the homogeneous equation d2x dt2 + ω2x = 0 using the method of characteristic equation. The characteristic equation is r2 + ω2 = 0, which has two solutions r1 = -ω, r2 = ω.

The general solution to the homogeneous equation can be expressed as:

x(t) = c1e-ωt + c2eωt

Next, we can solve the non-homogeneous equation d2x dt2 + ω2x = f0 sin ωt. Since the right-hand side of the non-homogeneous equation has a sinusoidal form, we can use the method of variation of parameters to solve it.

The particular solution can be expressed as:

x(t) = A sin ωt + B cos ωt

By substituting the initial conditions, we can get:

A = 0, B = 0

Therefore, the solution to the given initial-value problem is:

x(t) = c1e-ωt + c2eωt

The constant c1 and c2 can be determined by the initial conditions:

x(0) = c1 + c2 = 0

x'(0) = -ωc1 + ωc2 = 0

Therefore, c1 = -c2 and c1 + c2 = 0.

Hence, the solution to the given initial-value problem is:

x(t) = c1(e-ωt - eωt) = 2c1 sin ωt

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What is the meaning of curtailed in thesentence?Answer choices:A.increasedB.restricted C.jumpedD.wondered If the annual growth of real GDP per capita is 2% rather than 1.5%, you would expect the standard of lving to double in about, Answers A-E A 20 years. B 36 years. C 48 years. D 50 years. E 72 years. In the long run, an increase in saving Answers A-E A leads to crowding out. B leads to higher investment. C leads to a fall in economic growt. D All of the above. E None of the above. If there is a rise in imports, this will cause the interest rate to and the equilbrium quantity of saving and imvestment to Answers AE A increase: increase. B decrease; decrease. C increase: decrease. D decrease; increase. E decrease: change ambiguously. what has worked in the past will always work in the future? AGREE OR DISAGREE GIVE ME YOUR REASON. Which Canadian provinces or territories areentirely covered in forests? Which kinds of forestare found there? Statistical tools, data mining, OLAP are all business analytical tools used for data analysis. True or False includes ongoing support and maintenance costs, as well as acquisition costs. Group of answer choices CRC (Customer relationship costs) TCO (Total cost of ownership) RCT (Real cost of time) JIT (Just-in-time costs) I ............. she will to the party, I really want to see her You've owned a successful online retail business for 10 years. Recently, shopping behavior has shifted, and shoppers are buying less each time. The product and marketing strategy hasn't changed. Which two actions should you take Graph the equation on the coordinate plane using the slope and y-intercept.y=2x Question: Imagine, you are the HR Manager at Wipro and discuss what steps you will take toimplement automation and what are the challenges you may face in this situation?II. Answer the following Questions:1. Cohesiveness is the degree of closeness that the members feel with the group. In thelight of the above statement explain cohesiveness and factors contributing to it. (2 Marks)2. What challenges do managers and employees face in the workplace of the twenty-firstcentury? (2 Marks)3. What are the prominent reasons of emerging trends and issues of OB? (2 Marks)4. Explain the following with suitable organizational examples for each. (2 Marks)a) Formal group Command group Task group Committee groupb) Informal groups Interest group Clique group Psychology group the cohort trend design allows the researcher to measure different people with certain characteristics in the population over time. group of answer choices true false what was the immediate cause of revolt Below are six statements. Indicate whether each one pertains to microeconomics (MIC) or macroeconomics (MAC). Type in Mic for Microeconomics. Type in Mac for Macroeconomics. (a) "Last year, IBM was the U.S. business with the most patents registered with the U.S. government." -Mac or Mic (b) "The U.S. economy grew at an annual rate of 4.2 percent last year."-Mac or Mic (c) "Snow in the northeast has reduced the number of holiday shoppers at clothing stores and clothing prices are falling."-Mac or Mic (d) "More workers are being hired by the nation's businesses." -Mac or Mic (e) "The U.S. economy imported more goods and services than it exported last year."-Mac or Mic (f) "New discoveries in medicine are leading to strong growth in the biotech industry."-Mac or Mic (g) "The inflation rate in the United States hit its lowest level in the last twenty years." -Mac or Mic (h) "The profits of Microsoft rose 20 percent during the past quarter." -Mac or Mic (d) "More workers are being hired by the nation's businesses." -Mac or Mic (e) "The U.S. economy imported more goods and services than it exported last year."-Mac or Mic (f) "New discoveries in medicine are leading to strong growth in the biotech industry."-Mac or Mic (g) "The inflation rate in the United States hit its lowest level in the last twenty years." -Mac or Mic (h) "The profits of Microsoft rose 20 percent during the past quarter." - Mac or Mic (i) "Rains from El Nino again hit the California region causing severe flooding in farms. The prices for citrus and produce are expected to rise sharply." - Mac or Mic (j) "The nation's economy grew at an annual rate of 3.7 percent in the final quarter of the year." - Mac or Mic (k) "The trade deficit in the United States was $20 billion last month."-Mac or Mic (i) "General Motors plans to spend $800 million on a new automobile plant." - Mac or Mic