help I will mark you brainly​

Help I Will Mark You Brainly

Answers

Answer 1

Answer:

Hi there!!

The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.

explanation look in picture, alright.

I hope it will help u....

Help I Will Mark You Brainly
Answer 2

Answer:

x = 20

y = 10√3 or 17.3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3


Related Questions

a food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. complete the table to analyze the data and anser the questions

Answers

To help (fully understand), I need a picture of the problem

Answer:

That right, no picture, no answer

Step-by-step explanation:

Plz answer quickly!!!! Express the point on the number line as both a fraction and a decimal.

Answers

Answer:

3.22 or 161/50

Answer:

3.22 and 3 11/50/166/50

Step-by-step explanation:

The points in between 3.2 and 3.3 go 3.21, 3.22, 3.23, etc. So first we just write it as a decimal. Easy. Then we write it as a fraction. Writing it as a mixed number would just be 3 22/100 because .01*100 is 1. I simplified it and then converted it into an improper fraction. I hope this helped.

The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
2
4
5
3
Score
Round 2
: :
..
+
1
2
4
5
3
Score
Which of the following inferences can be made using the dot plots?
O The range of round 2 is greater than the round 1 range,
O Round 2 scores are higher than round 1 scores
O Round 1 scores are lower than round 2 scores
There is no overlap between the data.

Answers

If it’s asking for only one answer it should be (A)

What is the length of the transverse axis of the conic section shown below?
(y+2)^2/25 - (x-3)^2/4=1

Answers

Answer:

Length of transverse axis  = 2 b  = 10

Length of conjugate axis   = 2 a  = 4      

Step-by-step explanation:

Explanation:-

Given Hyperbola

                       [tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]

  Standard form of Hyperbola    

                  [tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]

   Center (h , k ) = (3 , -2 )  , a = 2 and b = 5

Length of transverse axis  = 2 b = 2(5) = 10

Length of conjugate axis   = 2 a = 2 (2) = 4      

Estimate the value of?

Answers

Answer:

D) 2.0

Step-by-step explanation:

We know that √2 = 1.414213562 ≈ 1.4, π ≈ 3.14, and √5 = 2.236067978 ≈ 2.2 . Next, I found out that √2π = 4.442882938 which rounds to 4.4. Then, I found out that 4.4 ÷ √5 equals to 1.96773982. So, if we round our answer to the nearest whole number, we will get 2.

Answer:

[tex]\boxed{Option \ D}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{2} \pi }{\sqrt{5} }[/tex]

Where [tex]\sqrt{2}[/tex] = 1.4 , π = 3.14 and [tex]\sqrt{5}[/tex] = 2.24

Plugging in the values

=> [tex]\frac{(1.4)(3.14)}{2.24}[/tex]

=> 4.396/2.24

=> 1.9

≈ 2.0

A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?

Answers

Answer:

[tex]\frac{1}{15}[/tex] or 6.67%

Step-by-step explanation:

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

The endpoints of a line segment can be represented on a coordinate grid by the points
A(-4, 1) and ((-4, -3). Graph and label each of the endpoints of the line segment on
the coordinate grid below.

Answers

I hope this help you


SOMEONE PLS HELP I WILL GIVE BRAINLIEST

factor x^(n+2)+x^(2)
pls explain too :>

Answers

Answer:

x² (x^n + 1)

Step-by-step explanation:

factor x^(n+2) + x²

= x^(n+2) + x²

= x^n • x² + x² (using law of indices)

= x²(x^n + 1)

Which expression can you simplify by combining like terms?


CLEAR CHECK

12b2+4ab−3ba−6

17a2−6b2a+4ba−9

5b2−5a2+8a−b

14a2+6ab−3b−3a

Answers

ab+12b^{2}-6 . The first one

Community Theater Owner A community theater currently sells 200 season tickets at $50 each. In order to increase its season-ticket revenue, the theater surveys its season ticket holders to see if they would be willing to pay more. The survey finds that for every $5 increase in the price of a season ticket, the theater would lose 10 season-ticket holders. What action, if any, should the theater owner take to increase revenue? a. Let n be the number of $5 price increases in the cost of a season ticket. Write an expression for the cost of a season ticket after n price increases, and an expression for the number of season-ticket holders after n price increases. b. Use the expressions from part a to create a revenue function, R (n) , from the survey information. c. Graph the revenue function. Be sure to label the axes with the quantities they represent and indicate the axis scales by showing numbers for some grid lines.

Answers

Answer:

the owner should increase prices to increase revenue (up to n=5)a) c(n) = 50+5n; q(n) = 200-10nb) R(n) =50(10+n)(20-n)c) see below for a graph

Step-by-step explanation:

a. The cost of a ticket after n price increases of $5 each will be ...

  c(n) = 50 +5n

The number of season-ticket holders (q) after n price increases will be ...

  q(n) = 200 -10n

__

b. The revenue after n price increases will be ...

  R(n) = c(n)·q(n) = (50 +5n)(200 -10n)

  R(n) = 50(10 +n)(20 -n)

__

c. See the attachment for a graph

__

d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.

HELP ME PLZ I NEED HELP

Answers

Answer: Tossing two coins at once

Step-by-step explanation:

As during flipping two coins we have possibilities one is HH,HT,TH,TT

Answer:

Tossing two coins at once

Step-by-step explanation:

In circle Y, what is m∠1? 6° 25° 31° 37°

Answers

Answer:

option c (31)

Step-by-step explanation:

Which of the following equations have exactly one solution? Choose all answers that apply:
A -5x+12=-5x-12−5x+12=−5x−12
B -5x+12=5x+12−5x+12=5x+12
C -5x+12=-12x-12−5x+12=−12x−12
D -5x+12=5x-5−5x+12=5x−5

Help plz

Answers

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 2x+1/4 = 12/20 what is the value of x?

Answers

2x+1=12/5
2x=7/5
x=7/10

Answer:

7/10 or 0.7

Step-by-step explanation:

Step 1: Cross-multiply.

2x+1  / 4  =  12 /20

(2x+1)*(20)=(12)*(4)

40x+20=48

Step 2: Subtract 20 from both sides.

40x+20−20=48−20

40x=28

Step 3: Divide both sides by 40.

40x /40  =  28 /40

x= 7 /10

Answer:

x= 7 /10

7/10 = 0.7

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center observed that about 60% of its morning appointments were with elderly patients. The table shows the results of a simulation used to represent the scenario. The numbers 0 to 5 represent appointments with elderly patients, and the numbers 6 to 9 represent appointments with other patients.

Answers

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

If sin theta = 4/5 and cos theta is in quadrant II, then cos theta and tan theta equal what?​

Answers

Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].

[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].

The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

If sin θ = 4/5.

The value of the cosine is negative. Then the cosine of angle θ is given as,

cos θ = -√(1 - sin²θ)

cos θ = - √[1 - (4/5)²]

cos θ = - √[9/25]

cos θ = - 3/5

θ = 143.13°

The value of the tangent of angle θ is calculated as,

⇒ tan θ

⇒ tan 143.13

⇒ - 0.75

The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

In the given diagram, find the values of x, y, and z.
Oax = 20°, y = 21°, z = 20°
Ob.x = 64°, y = 21°, z = 64°
Oox = 64°, y = 21°, z = 20°
Odx = 115°, y = 115°, z = 64

Answers

Answer:

B) x=64, y=21, z=64

Step-by-step explanation:

X=180-116=64

Y cannot equal 115, and one angle is already 95, and that would put it over 180.  The only remaining choice for y=21

z=180-95-21=64

Which change can be made to correct the chart?

The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.

Answers

Answer:

3x^3/x = 3x^(3-1) = 3x^2

6x*y = 6xy

x^2y *y =  x^2y^(1+1) = x^2y^2

4y*y = 4y^2

Step-by-step explanation:

This can be solved using law of Indices.

The expression 3x^3 should be 3x^2.

Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x

Rule: x^a/x^b = x^(a-b)

3x^3/x = 3x^(3-1) = 3x^2 (answer)

_________________________________

The expression 6x should be 6xy.

here term y is missing hence we multiply 6x with y

rule: a*b = ab

6x*y = 6xy  (answer)

_________________________________________________

The expression x^2y should be x^2y^2

Here we need power of y as 2, to do that we multiply  x^2y by y.

Rule

x^2*x^b  = x(a+b)

x^2y *y =  x^2y^(1+1) = x^2y^2  (answer)

_____________________________________________

The expression 4y should be 4y^2\

Here we need power of y as 2, to do that we multiply 4y by y.

Rule

x^2*x^b  = x(a+b)

4y*y = 4y^2   (answer)

Answer:

b:  the expression 6x should be 6xy

Step-by-step explanation:

i just did on edgen 2020

Which of the following is a like radical to 3 square root 7x

Answers

Answer:

A: 4(\root(3)(7x))

Step-by-step explanation:

Just took the test answer above is wrong this one is right.

.swag.

Answer: A

Step-by-step explanation: tis A. edge 2023 :)

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given
that m angle DCE= 60°. Find an exact answer in terms of pie​

Answers

Answer:

[tex]area = \frac{8}{3}pie ft^2[/tex]

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = [tex] \frac{60}{360}*pie*4^2[/tex]

[tex] area = \frac{1}{6}*pie*16[/tex]

[tex] area = \frac{1*16}{6}*pie[/tex]

[tex] area = \frac{16}{6}*pie[/tex]

[tex]area = \frac{8}{3}pie ft^2[/tex]

Area of the sector = 8/3π ft²

Martin competed in a speed skating race. The surface of the ice rink was at
-5°C for the race. The temperature outside was 5°C. How much warmer was
the temperature outside than the surface of the ice?​

Answers

From -5 to 0 is 5 degrees and from 0 to 5 is 5 degrees.

5 + 5 = 10

It is 10 degrees warmer outside.

Answer:

-5 to 0 is 5 degrees and  0 to 5 is 5 degrees.

5 + 5 = 10

Step-by-step explanation:

have a nice day :)

solve for x -7x+1≥22 or -10x+41≥81

Answers

Answer:

The answer to the union of the two sets is: [tex]x\leq -3[/tex]

Step-by-step explanation:

Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.

First inequality:

[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]

so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)

Second inequality:

[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]

So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.

Then, when we do the union of these two sets, we get:

[tex]x\leq -3[/tex]

since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.


Mr. Martin's math test, which is worth 100 points, has 35
problems. Each problem is worth either 5 points or 2
points.
Let x = the number of questions worth 5 points.
Let y = the number of questions worth 2 points.
o 10p
2 poi
x + y = 35,
o 15p
2po
5x + 2y = 100
20
2 pc
25

Answers

[5x +2y]35 =100

ddddddddddddd

Which data set could be represented by the box plot shown below?

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

A dress is on sale for 20% off.
Including the discount and 9%
tax, the sales price of the dress
is $74.12. What is the price of
the dress before the discount
and tax?


Answers

Answer:

Step-by-step explanation:

let's say the price of the dress in the beginning is 100x

the on sale price decreases 80x  

80x = 74.12

100 x = 92.75

Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + __ x = __

Answers

Answer:

x² + -6x = -13

Step-by-step explanation:

8x² - 48x = -104

x² - 6x = -13

The quadratic equation can be written as x² + (- 6x) = - 13

Quadratic equations are algebraic expressions which the highest value of x in its second degree. It is usually expressed in the form: ax² + bx + c

From the given information, the objective is to simplify the quadratic equation in terms of ax² + bx + c  

ax² + bx = c  

Given that:

8x² - 48x = -104

We need to divide through by (8)

[tex]\mathbf{\dfrac{8x^2}{8} - \dfrac{48x}{8} = -\dfrac{104}{8}}[/tex]x² + (- 6x) = - 13

Learn more about quadratic equations here:

https://brainly.com/question/1214333

The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.

Answers

Answer:

The answer is "101.37  yd"

Step-by-step explanation:

In the given question an attachment file is missing. so, we attached the file and calculates its value:

Use formula:

[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]

In the above-given equation we assume c is the third side:

[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]

c = 101.37  yd

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collected, the sales te determines that the monthly profit is approximated by f(p)= -50p^2+1700p-12000, where p is the price per shirt and f(p) is the monthly profit on that price. A) Find the price that generates the maximum profit B) Find the maximum profit C) Find the price(s) that would enable the company to break even.

Answers

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars

15 poinstsPretend your class is starting a box-making business. Every student needs to design a box with a volume of 3600 cubic inches. Look at the dimensions of the box that Karen designed: My box has a length of 12 inches, a width of 50 inches, and a height of 6 inches: 12 in • 50 in • 6 in = 3600 in3

Answers

Bro its so confusing

a glacier that was 1,076 meters thick changed in thickness at an average rate of -22.7 meters per year for 7 years. Write an addition expression you can use to find the glacier's thickness after 7 years answer fast ASAP PLEASSEEEE running out of timeeeee

Answers

Answer:

1076-(22.7)7

Step-by-step explanation:

Other Questions
A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. The quadratic function h(t)=96t16t2 gives the height h (in feet) of the debris at time t (in seconds) after the explosion. How many seconds will it take before the debris falls back to the ground? - Indicate at least 2 things that oneneeds to be aware of with foodmarketing by food companies. Select the correct answer from each drop-down menu. Complete these sentences based on the video you just watched. A rise in beef prices will cause the supply curve for steaks at restaurants to shift . The rise in steak prices is a result of a non-price determinant of supply. In this scenario, the non-price determinant of supply is . The change in foreign consumption of beef is an example of a non-price determinant of demand. In this scenario, the non-price determinant of demand is . The change in the non-price determinant of demand will cause the demand curve to shift . On a graph, the effect of these shifts in the demand and supply curves will cause the new equilibrium price to . As grown cows become scarcer, the price of beef . Is 3/4 = 9/12 greater or less than 1/2 In The Raven, what is most closely the central theme of the passage below?Ah, distinctly I remember it was in the bleak December;And each separate dying ember wrought its ghost upon the floor.Eagerly I wished the morrow;-vainly I had sought to borrowFrommy books surcease of sorrow-sorrow for the lost Lenore For the rare and radiant maiden whom the angels name Lenore Nameless here for evermore.a) The narrator attempts to distract himself from his grief through reading.b) The fire throws shadows on the floor that look like ghosts.c) Lenore no longer has a name because she is dead.d) The events recounted happened in December ROI and Residual Income: Basic Computations Watkins Associated Industries is a highly diversified company with three divisions: Trucking, Seafood, and Construction. Assume that the company uses return on investment and residual income as two of the evaluation tools for division managers. The company has a minimum desired rate of return on investment of 10 percent with a 30 percent tax rate. Selected operating data for three divisions of the company follow. Trucking Division Seafood Division Construction Division Sales $ 1,200,000 $ 750,000 $ 900,000 Operating assets 600,000 250,000 350,000 Net operating income 116,000 66,000 63,000(a) Compute the return on investment for each division. (Round answers to three decimal places.)Trucking ROI = Seafood ROI = Construction ROI = (b) Compute the residual income for each division.Residual income Trucking Seafood ConstructionNet operating income Minimum level Residual income 2. Introduce one of the four new rat species to another island and describe one challenge it would encounter and one success as it adapts to its new environment. Yo can someone please help me If three cars, each of mass 1000 kg , occupy the NE, SE, and SW corners, determine the coordinates of the CM of the loaded ferryboat relative to the center of the raft. Take the origin to be at the CM of the raft. CEO reduced the list of candidates to include only those applicants the CEO found acceptable. The CEO is implementing the political strategy of controlling the agenda. being irreplaceable. overlapping authority. emphasizing status inconsistency. relying on objective information. Which of the following best describesthe lower class of Poor whites inthe south? Determine the half-life of a nuclide that loses 38.0% of its mass in 407 hours. Determine the half-life of a nuclide that loses 38.0% of its mass in 407 hours. 204 hours 568 hour 590 hours 291 hours 281 hours What is causing the rising number of skin cancer cases attributable to tanning beds? Check all that apply. People do not understand that using a tanning bed is dangerous. More young people are using tanning beds. Using tanning beds is extremely popular. More people are using tanning beds than smoking. Using a tanning bed is more dangerous than laying out to get a tan. She was pulling black veins out of the backs of fleshy prawns.The description in this sentence uses Precise language To describe what tan sawContains a detail that appeals to the sense of tasteUses figurative language to describe the prawnsContains a simile that compares prawns to flesh Mighty Manny, Incorporated, manufactures ice scrapers and distributes them across the midwestern United States. Mighty Manny is incorporated and headquartered in Michigan. It has product sales to customers in Illinois, Indiana, Iowa, Michigan, Minnesota, Wisconsin, and Wyoming. It has sales personnel only in the states discussed and all these states have adopted Wayfair legislation. Determine the state in which Mighty Manny does not have sales tax nexus given the following scenarios:A. Mighty Manny has sales personnel that visit Minnesota. These sales employees follow procedures that comply with Public Law 86-272. The orders are received and sent to Michigan for acceptance. The goods are shipped by FedEx into Minnesota.B. Mighty Manny provides design services to another manufacturer located in Wisconsin. While the services are performed in Michigan, Mighty Manny's designers visit Wisconsin at least quarterly to deliver the new designs and receive feedback.C. Mighty Manny receives online orders from its Illinois client. Because the orders are so large, the goods are delivered weekly on Mighty Manny's trucks.D. Mighty Manny's trucks drive through Nebraska to deliver goods to Mighty Manny's customers in other states, but the company has no Nebraska sales. someone help please lol Im stuck !!!!! NEED HELP THANKLSSSS Which of the following equations have exactly one solution? Choose all answers that apply: (Choice A) -6x-6=-6x-103 (Choice B) -103x-6=-6x-103 (Choice C) -6x-6=103x-103 (Choice D) 103x-6=103x-103 I'll put the brainliest, if its the right ans. Guidebook writer: I have visited hotels throughout the country and have noticed that in those built before 1930 the quality of the original carpentry work is generally superior to that in hotels built afterward. Clearly carpenters working on hotels before 1930 typically worked with more skill, care, and effort than carpenters who have worked on hotels built subsequently.Which of the following, if true, most seriously weakens the guidebook writers argument?(A) The quality of original carpentry in hotels is generally far superior to the quality of original carpentry in other structures, such as houses and stores.(B) Hotels built since 1930 can generally accommodate more guests than those built before 1930.(C) The materials available to carpenters working before 1930 were not significantly different in quality from the materials available to carpenters working after 1930.(D) The better the quality of original carpentry in a building, the less likely that building is to fall into disuse and be demolished.(E) The average length of apprenticeship for carpenters has declined significantly since 1930. An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week, working as a civil servant. What is the regular time hourly rate of pay for this employee, and what is her total income in a month where she works 40 hours, 44 hours, 43.5 hours, and 40 hours, weekly, in the month? A.$37.00/hr and \$6,336.25 in total income B. $35.50/hr and \$6,079.38 in total income C.$37.50/hr and \$6,421.88 in total income D.$36.00/hr and \$6,165.00 in total income