Please help Identify the domain of the function shown in the graph. A. 0 ≤ x ≤ 5 B. x is all real numbers. C. –5 ≤ x ≤ 5 D. x > 0

Please Help Identify The Domain Of The Function Shown In The Graph. A. 0 X 5 B. X Is All Real Numbers.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The answer is B because domain is from left to right (x-axis) and the graph seems to go on for infinity in both directions

Answer 2

Answer:

what was it?

Step-by-step explanation:


Related Questions

Help ASAP please Graph the line that has a x-intercept of -5 and a y-intercept -2 what is the slope of the line

Answers

Answer:

Slope: -2/5

Step-by-step explanation:

To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

What does an individual’s effective tax rate indicate?

A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate​

Answers

Answer:

the answer is B

Step-by-step explanation:

100 on the plato test

Answer:

A. the average income earned

B. the average tax rate

C. the minimum tax rate

D. the next year's tax rate

Step-by-step explanation:

Plato Users

Please I need help with this ASAP..Thanks

Answers

Answer:

Qu.3 a = 70 degree.

Qu 4. a = 6  b= 4 c = 15  d =9

Step-by-step explanation:

Rules of parallelogram show that diagonal adjacent angles are equal

Then 110 = 110 and 110+110 = 220

Then as angles equal 360 degree we subtract.

a * 2 = 360-220 = 140 degree

Where there are two angles we divide by 2 to find one of them = a as both measures equal double;

a = 140/2 = 70 degree.

Qu 4. a = 6  b= 4 c = 15  d =9

without calculator we simplify

a= 3/4 x 8 = 1 x 8 - 1/4 = 6     = 3/4 +1/4 = 1  then 1 *8 = 8 then 8 -1/4 = 6 or go decimal 0.75 * 8 = 0.40 + 5.60 + total = 6

b = 2/6 x 12 = 1/6 x 12 (2) = 2 (2) = 4       = 1/6 *2 is the same as 2/6 we then *12

c =  3/2 x 10 = 1/2 x 10 (3) = 5 (3) = 15    = 1/2 *3 is the same as 3/2 we then *10

d =  3/12 x 36 = 1/4 x 36 = 9  = decimal 0.25 x 36 = 1.50  |  + 7.5 = 9  

A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?

Answers

Answer:

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are N = 50 people in a club.

The position of President is open. And there are x = 4 members running for he post of President.

So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has x = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = n × x

                                                           = 46 × 4

                                                           = 184

Thus, the number of different possible vote totals is 184.

Use this area model to find
1/4 divided by 3 =

Answers

Answer:

Step-by-step explanation:

1/4/3=1/4*1/3=1/12

Answer: 1/4 ÷ 3 = 1/12

Which sets are best represented by the Venn diagram G = {odd numbers)
H = {even numbers)
1 = {prime numbers
B. G = {a,b,c}
H = {d, e, f}
1 = {a, d, g}
C. G= {1, 2, 3
H = {2, 4, 9}
1 = {4, 5, 6)
D. G={a, -13,7}
H={-13, -15, s}
1 = {s, a, 23}

Answers

Answer:

option C.

G = {1, 2, 3}

H = {2, 4, 9}

1 = {4, 5, 6}

Step-by-step explanation:

From the diagram given above, we obtained the following information:

1. G Intercession H (G n H) has members i.e (G n H) is not epmty

G n H ≠ empty.

2. H Intercession I (H n I) has members i.e (H n I) is not empty

H n I ≠ empty.

3. G Intercession I (G n I) is empty i.e

G n I = empty.

Please note: Intercession of sets talks about elements or members common to the sets.

With the above information, we can suggest the answer to the question as follow:

For option A:

G = {odd numbers} = {1, 3, 5, 7,.. }

H = {even numbers} = {2, 4, 6, 8,.. }

I = {prime numbers} = {2, 3, 5, 7,...}

Therefore:

G n H = {} = empty

H n I = {2}

G n I = {3, 5, 7,..}

For option B:

G = {a,b,c}

H = {d, e, f}

I = {a, d, g}

Therefore:

G n H = {} = empty

H n I = {d}

G n I = {a}

For option C:

G = {1, 2, 3}

H = {2, 4, 9}

I = {4, 5, 6}

Therefore:

G n H = {2}

H n I = {4}

G n I = {} = empty

For option D:

G = {a, -13, 7}

H = {-13, -15, s}

I = {s, a, 23}

Therefore:

G n H = {-13}

H n I = {s}

G n I = {a}

From the above illustrations, only option C is correct.

6+{5+[2+(8+20)]} we are supposed to compute!!! I have no idea how!

Answers

Step-by-step explanation:

Is this correct

HAVE A GOOD DAY!

Jimmy spent 55 minutes on solving 11 math questions. If it took him the same amount of time to solve each question how long would it take to solve questions?

Answers

It would take 5 minutes per question because if you divide 55 by 11 you get 5

Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%

Answers

it’s D, 140%. All you have to do is divide 105 by 75 and it will pop up as 1.4 which is 140.

Answer:

D 140%

Step-by-step explanation:

n/100 =105 divided by 75

next n times 105 = 75 x 100

105n = 7500

N =140:)

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 4ft[/tex]

[tex]Angle, \theta = 45[/tex]

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]

[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes

[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]

[tex]Area = \frac{45}{360} * \pi * 16[/tex]

[tex]Area = \frac{45*16}{360} * \pi[/tex]

[tex]Area = \frac{720}{360} * \pi[/tex]

[tex]Area = 2 * \pi[/tex]

[tex]Area = 2 \pi\ ft^2[/tex]

The above is the area in terms of π

Solving further.... (Take π as 3.14)

[tex]Area = 2 \pi\ ft^2[/tex] becomes

[tex]Area = 2 * 3.14\ ft^2[/tex]

[tex]Area = 6.28\ ft^2[/tex]

Hence, the area of the sector is

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Mr. MD is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left in ten years?:::: Write a function- What is the initial amount? What is the decay rate? What is the final function? Thank you!

Answers

Answer: 166 hairs

Step-by-step explanation:

Initially he had 1546 hairs. Loses 20% each year. So after 10 years, he will have

= 1546 x 0.80^10

= 1546 x .107374

= 166 hairs

After 10 years, 166 hairs have left on Mr. MD head.

Decay rate is 20 %.

The number of hairs left after n years is given by,

                  [tex]A =P(1-\frac{r}{100} )^{n}[/tex]

Where P is the current population value, r is rate of decay and n is number of years.

Given that,  [tex]P=1546,n=10,r=20[/tex]

Substitute values in above equation.

               [tex]A=1546(1-\frac{20}{100} )^{10} \\\\A=1546*(\frac{4}{5} )^{10} \\\\A=166[/tex]

Thus, After 10 years, 166 hairs have left on Mr. MD head.

Learn more:

https://brainly.com/question/20992156

Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca

Answers

Answer:

A) a/b = d/c

Step-by-step explanation:

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.

In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c

The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2

Answers

Answer:

B.y=-2(x+3)2-2

Step-by-step explanation:

A if false beacuse you have to put (-3,-2) into all of your equations

B is correct

C is false

D is also false

Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE

Answers

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

This is due to the symmetry of the sin function, which states that:

[tex]sin(-x)=-sin(x)[/tex]

Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.

89 x (100-2) = 98 x (100-x) What should replace 'x' to make the equation true?

Answers

Answer:

x=11

Step-by-step explanation:

the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal

Answer :

[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]

[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]

[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]

[tex]:\implies\tt\:100-x=89[/tex]

[tex]:\implies\tt\:x=100-89[/tex]

[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]

Please help, this is a conversion problem.

Answers

Answer:

A. 41 ft / sec.

Step-by-step explanation:

28 miles per hour = 28/(60*60)

= 28 /3600 miles per second

= 28 * 5280 / 3600 feet per second

= 41 ft / sec.

Answer:

I am taking a guess so bare with me on here.

Step-by-step explanation:

first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.

Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.

Third: take out any other answer that looks too high or too low.

4th: the answer is A. because 88 and 189 is too high. and 36 is too low.

Write each repeating decimal using bar notation.
•2.034034...

•0.9222....

•0.7777....

Answers

Answer:

  ___

2.034

over .034

     _

0.92

over 2

  _

0.7

over 7

Step-by-step explanation:

Bar notation of 2.034034.... is  [tex]2.\overline{034}[/tex], 0.9222... is  [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]

What is bar notation for non terminating and recurring decimals?

Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.

For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.

Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.                  

Bar notation of  3.33333... is written as  [tex]3.\overline{3}[/tex]

Given decimal expansions are

a.  2.034034....

We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.

Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]

b. 0.9222....

We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.

Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]

c. 0.7777....

We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.

Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]

Also, learn more about decimal expansions from the link below:

https://brainly.com/question/17316823

#SPJ5

PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?

Answers

Answer:

18 2-digit numbers.

Step-by-step explanation: There is

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)

hope this helps

Answer:

I believe the answer is 18 2 digit numbers

Step-by-step explanation:

I just counted them :)

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97

These are all the 2 digit numbers!

Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.

Answers

Answer:

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

Step-by-step explanation:

Step(i):-

Given series

6+66+666+6666 + ... +666...66 up to 100 digits

Taking common '6'

6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)

Multiply '9' and divisible by'9'

[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]

Multiply inside '9'

[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]

Step(ii):-

we know that sum of geometric series

[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]

we know that

a + a + a+........n terms = n a

[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex]  ....(i)

The sum of the 100 digits in geometric series

[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]

Now the equation (i)

The sum of the digits of the number  

      [tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]

Final answer :-

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.

Answers

Answer:

Just saying that there are links people post that scam you and this is requird by Brainly

Step-by-step explanation:

Simplify square root of five times square root of eight. two square root of ten four square root of ten square root of forty square root of thirteen

Answers

Answer:

two square root of ten - A

Step-by-step explanation:

[tex]2\sqrt10[/tex]

Brainliest Plzzz!!!!

Answer:

2 square roots of 10

Step-by-step explanation:

Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.

Answers

If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].

We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):

[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]

We have

[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]

and in each group, we can pull this out as a factor. For example,

[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]

So the entire sum reduces to the remaining term,

[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]

Answer:

jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................

Step-by-step explanation:

The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help

Answers

Answer:

The following two equations represent the reflected function:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Step-by-step explanation:

Following are two basic concepts of reflection a point or a function over an axis:

If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.

In this question, the function is given:

f(x) = 5(1/5)ˣ

As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.

So the equation of reflected function is:

f(x) = 5(1/5) ⁻ˣ

We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.

(1/5)⁻ˣ = 5ˣ

So equation of reflected function can also be written as:

f(x) = 5(5)ˣ

Answer:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

A waitress received a tip of 12% of a $375 food bill How much money in tips did she earn?

Answers

Answer:

$ 45

Step-by-step explanation:

How much money in tips did she earn ?

12%×$375 = 12×375/100 = 4500/100 = $45

The answer is 45 dollars

All you have to do is make 12 a decimal (0.12) and multiply that by 375

Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D

Answers

Answer:

(D)

Step-by-step explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.

Answer:

the correct answer is D

Step-by-step explanation:

just got it right on edge 2020

Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?

Answers

Answer:

Distance = 162.5 to 2dp.

Step-by-step explanation:

Alex car drives 65km = 40mins we round up to 1hr

= 1/2 x 65 + 65 = 32.5 +65 = 97.5  km p/h

Roy is 1/4 faster (As Alex speed is 3/4 of Roy)

To find 3/4 we divide by 3  then, add the 97.5  km etc..

97.5/3 =  + 32.5km = 130 km/ph

To check we only have to divide by 4

130 / 4  = 32.5

We know 32.5 is 1/4 we can add this on as 15minutes.

130 km = 1hr +

32.5 km = 15 mins

Distance = 162.5 km

Answer:

162.50 km

Step-by-step explanation:

Alex: 40 minutes for 65 km

speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h

Alex's speed = 3/4 of Roy's speed

Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h

speed = distance/time

distance = speed * time

time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour

distance = 130 km/h * 1.25 hour = 162.50 km

can someone help me step through this to help me get the answer correct

Answers

Answer:

3

Step-by-step explanation:

Will Mark Branliest What would be the best way to display both the overall shape and individual values of the data below? dot plot box graph stem-and-leaf graph frequency table


Answers

Answer:

Stem and leaf

Step-by-step explanation:

Answer:

The answer is frequency table

Hope this helps.

Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!​

Answers

Answer:

A and F

Step-by-step explanation:

first figure out the slope.

4-(-5)/2-(-3)= 9/5

slope: 9/5

y-y1=m(x-x1)

you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.

C, D, E all have negative slopes so it is wrong.

B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.

A & F fit the solution.

1/3x+4=10 what is x?

Answers

Answer:

x = 18

Step-by-step explanation:

start with your equation: 1/3x + 4 = 10

first subtract 4 from both sides of the equal sign

now you have: 1/3x = 6

then divide by 1/3 on both sides

which gives you...

x = 18

you can check it by replacing x with 18.

hope this helps!

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}x+4=10[/tex]

Subtract 4 from both sides

[tex]\frac{1}{3}x=6[/tex]

Multiply both sides by 3

[tex]x=18[/tex]

Other Questions
*WILL MARK YOU BRAINLIEST!!!* Complete the statements below by choosing the correctpart of the neuron from the drop-down menus.Information enters the neuron through structureInformation passes through structure to reachstructureInformation leaves the neuron through structureABDE The City of Southern Pines maintains its books so as to prepare fund accounting statements and records worksheet adjustments in order to prepare government-wide statements. As such, the Citys internal service fund, a motor pool fund, is included in the proprietary funds statements. Balance sheet asset accounts include: Cash, $102,000; Investments, $150,400; Due from the General Fund, $18,300; Inventories, $396,000; and Capital Assets (net), $1,169,700. Liability accounts include: Accounts Payable, $61,500; Long-Term Advance from Enterprise Fund, $738,000. The only transaction in the internal service fund that is external to the government is interest revenue in the amount of $4,400. Exclusive of the interest revenue, the internal service fund reported net income in the amount of $84,000. An examination of the records indicates that services were provided as follows: one-third to general government, one-third to public safety, and one-third to public works. Prepare necessary adjustments in order to incorporate the internal service fund in the government-wide statements as a part of governmental activities. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.) 1. Count the accented syllables by putting the accent mark above each accented syllables The sparkling waves by the tide were dashed. 2. Count the accented syllables by putting. The accent mark above each accented syllables... Blow a bubble in the air. Bubbles, bubbles, everywhere Points K, L, and M are the midpoints of their respective sides. If LM = 10, determine the length of side YX. answers: A) 10B) 15 C) 5 D) 20 g if you invest in a business that you expect that will earn profit (in thousands of dollars) of $12 by the end of the year, $17 next year, $25 the third year, and $30 the 4th year. Other investments of equal risk earn 8%. How much is this business worth today A toy cannon uses a spring to project a 5.31-g soft rubber ball. The spring is originally compressed by 4.90 cm and has a force constant of 8.09 N/m. When the cannon is fired, the ball moves 14.1 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 7 N on the ball.Required:a. With what speed does the projectile leave the barrel of the cannon? b. At what point does the ball have maximum speed? c. What is this maximum speed? Angela bought 10 stamps that cost $1 or $1.20.Altogether, her total was $11. How many of each $1 stamps and how many ofeach $1.20 stamps did she buy? The widget market is competitive and includes no transaction costs. Five suppliers are willing to sell one widget at the following prices: $22, $12, $8, $4, and $2 (one seller at each price). Five buyers are willing to buy one widget at the following prices: $8, $12, $22, $30, and $38 (one buyer at each price). For each price shown in the following table, use the given information to enter the quantity demanded and quantity supplied.Price Quantity Demanded Quantity Supplied($ per widget) (widgets) (widgets)$2 $4 $8 $12 $20 $32 $44In this market, the equilibrium price will beper widget, and the equilibrium quantity will be:________ Match the following terms and definitions. 1. Programming code used to connect stand-alone systems____________ 2. Transforming business processes to improve efficiency __________ 3. Corresponds to the purchasing cycle________ 4. Corresponds to the sales cycle ____________5. Consists of front-end client computers and the user interface___________ 6. Software programs on a router that monitor network traffic___________7. Comprised of a centralized relational database and an RDBMS__________ 8. Consists of servers and application software_____________ 9. When an enterprise system uses layers of IT components: enterprise database, application, and client computers__________. Find the area of a circle with radius 7 ft. A 2-kg object is moving 6 m/s in a horizontal direction.How much net force is required for this object to continue its state of motion?. B.2NC.3 N12 N Choose the correct expression: He was ____________ when I met him in the restaurant .A. Rolling in money b. In high spirits c. In the limelight d. Cut to the quick Select two specific components of the cell membrane and explain how each affects the permeability of the cell membrane. Meaning, what specific materials are regulated by the given component and how The populations and areas of four states are shown.Which statement regarding these four states is true? Select the ones that correctly demonstrate the operations of scientific notationNote that more than one option may be correct. Select all the correct answersA. (4.0 x 103)(5.0 x 105) = 2 x 10^9B. 4.5x105/9.0x10 = 2 x 10^4C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3 Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings. Question 2In plainchant from the Middle Ages, if there are many notes per syllable, the style is calledO melismatic.O syllabic.O modal.O neumatic.uoction ? A child of mass 46.2 kg sits on the edge of a merry-go-round with radius 1.9 m and moment of inertia 130.09 kg m2 . The merrygo-round rotates with an angular velocity of 2.4 rad/s. The child then walks towards the center of the merry-go-round and stops at a distance 0.779 m from the center. Now what is the angular velocity of the merry-go-round 4. "ABC constriction Inc." company becomes the lowest in the bed process to get a $21million construction project for "Northern Inc.". Now ABC construction Inc." planning tomake a formal contract agreement with the "Northern Inc.". What are the main elements ofthis agreement to consider it as a legal contract? Explain.