Level: Standard
2) Given: -2(x - 4) = 3(x + 12); Prove: x = -5.6
Statements
Reasons

Level: Standard2) Given: -2(x - 4) = 3(x + 12); Prove: X = -5.6StatementsReasons

Answers

Answer 1

Answer:

Step-by-step explanation:

-2(x - 4) = 3(x + 12)          {Use distributive rule}

-2*x - 4 *(-2) = 3*x + 12*3

-2x  + 8    = 3x + 36       {add 2x to both sides}

           8  = 3x + 36 +2x

            8 = 5x + 36

     8 - 36 = 5x                 {subtract 36 from both sides}

         -28  = 5x

5x = -28           {Divide both sides by 5}

 x = -28/5

x = -5.6

Answer 2

-2(5-4)=4(6+12)

-10+8=24+48

-2=72

=-36


Related Questions

5 divided by 1 and 2/3

Answers

Answer: The answer to that would be 3.

Step-by-step explanation: So 5 / 1  2/3 = 3

Sorry my handwriting is so sloppy! Hope it helps!

5 divided by 1 and 2/3
The answer is 3. I hope this helps!

Find the slope of AB through points A(1,7) and B(-1,4). m of AB=

Answers

Hi there & welcome to brainly !

Answer:

\( \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} \)

Step-by-step explanation:

Given :

A ( 1 , 7 ) , B ( - 1 , 4 )

To find :

Slope = ?

Solution :

Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )

Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )

Finding the slope :

\( \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}\)

\( \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} \)

\( \sf{↦ \: slope = \frac{ - 3}{ - 2}} \)

\( \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}\)

And we're done !

Hope I helped!

Best regards! :D

~TheAnimeGirl

PLEASE HELP ME
Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine the percentage rate of growth. (1 point)

An exponential graph has Time in Years on the x axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma twenty and passes through eight comma one hundred twenty.
1. 0.25%
2. 1.25%
3. 2.5%
4. 25%

PLEASE HELP ME Enrollment in a dance studio has grown exponentially since the studio opened. A graph

Answers

Answer:true

Step-by-step explanation:

Answer: The correct answer is 25%

if the 90% confidence limits for the population mean are 33 and 47, which of the following could be the 98% confidence limits a) (30, 50) b) (36, 41) c) (38, 42) d) (38, 45) e) (39, 43) f) none of the above

Answers

The answer is (a) (30, 50). To find the 98% confidence limits,

We can use the formula:

\(98% confidence limits = sample mean ± (Z-score for 98% confidence level) * (standard error)\)

We don't know the sample mean or the standard error, but we do know the 90% confidence limits. We can use these to estimate the standard error:

Standard error = (90% confidence limits upper bound - 90% confidence limits lower bound) / (1.645 * 2)

Standard error = (47 - 33) / (1.645 * 2) = 4.73

Now we can use this to estimate the 98% confidence limits:

98% confidence limits = sample mean ± (2.33) * (4.73)

We know that the range of the 90% confidence limits is 14 (47 - 33). The range of the 98% confidence limits will be wider than this, so we can eliminate options b), c), and e).

Now we just need to check which of the remaining options gives us a range wider than 14. We can do this by subtracting the lower limit from the upper limit:

a) (30, 50) -> range = 20
d) (38, 45) -> range = 7

Therefore, the answer is (a) (30, 50).

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Evaluate: (-2)0
-2
0
1
2

Answers

Answer:

0

Step-by-step explanation:

- Anything multiplied by 0 will always result in 0.

Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts

Answers

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

What is the cost of merchandise inventory?

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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The place kicker for the Cascade Champs, scored 120 points last year. They were all gained on 1-point extra-point kicks and 3-point field goals. He successfully completed sixty-six kicks. How many of each type did he make​

Answers

Answer:

your equations would be 3x+1y=86 and x+y=42

the answer would be 22 field goals and 20 extra po

Step-by-step explanation:

student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.

Answers

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Draw a ring around the point which does not lie on the line y = 3x + 2 * 1 point (100, 302) (2, 8) (0, 4) (9, 29)

Answers

Answer:

(0,4)

Step-by-step explanation:

Given the line equation:

y = 3x + 2

Given the points :

(100, 302)

x = 100 ; y =302

302 = 3(100) + 2

302 = 300 + 2

(2, 8)

8 = 3(2) + 2

8 = 6 + 2

(0, 4)

4 = 3(0) + 2

4 ≠ 2

(9,29)

29 = 3(9) + 2

29 = 17 + 2

This is math help plz

This is math help plz

Answers

Answer:

B)

Step-by-step explanation

I am not sure

given eigenvalues, eigenvectors for matrix A are λ1 = 2, v1 = [-5 1]t and λ2 = 6, v2 = [5 4]t
(t means transpose ... means the row vector is actually a column vector)
Defn of Eigenvector, Eigenvalue:
Avi = λivi for all i, in this case, i = 1, 2

Answers

The eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

An eigenvector is a non-zero vector that, when multiplied by a matrix, results in a scalar multiple of itself. In other words, if A is a square matrix and v is an eigenvector of A, then Av = λv, where λ is the eigenvalue associated with v.

Given the eigenvalues and eigenvectors for matrix A as λ1 = 2, v1 = [-5 1]ᵀ and λ2 = 6, v2 = [5 4]ᵀ, we can say that:

- Av1 = λ1v1 = 2[-5 1]ᵀ = [-10 2]ᵀ
- Av2 = λ2v2 = 6[5 4]ᵀ = [30 24]ᵀ

Therefore, the eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

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Which equation represents the line through (0,0) and (2,5)? ​

Answers

Answer:

Y= 5/2x+0

Step-by-step explanation:

find the slope and y intercept, which would be 5/2 and 0.

:))

the product of two consecutive positive integers is 3 less than three times their sum find the integers

Answers

The two consecutive positive integers are 5 and 6.

Let the two consecutive positive integers be x and x + 1. We are given that the product of these integers is 3 less than three times their sum. This can be expressed as:
\(x(x + 1) = 3(x + x + 1) - 3\)
Now we can solve for x:
\(x^2 + x = 6x + 3 - 3\)
\(x^2 + x = 6x\)
\(x^2 - 5x = 0\)
Factoring the left side of the equation, we get:
\(x(x - 5) = 0\)
From this equation, x can be 0 or 5.

However, since the question asks for positive integers, we can't use x = 0. Therefore, x = 5.

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on your desk, there is a very special die with a prime number p of faces, and you throw this die once. show that no two events a and b can be independent unless either a or b is the whole sample space or the empty set.

Answers

We have proven that no two events a and b can be independent unless either a or b is the whole sample space or the empty set below.

A sample space can be defined as the set of all possible outcomes of any experiment.

We are already aware that the outcomes of this die are going to be (1,2,3,..p). If we have a pair of proper events A, B which are independent, this would mean that = A∩B={∅}  (i)

This is a contradiction. So, now we suppose that = A∩B=C, for some proper event C (ii)

Using the values of (i) and (ii), we get -

= |C|p=P(A∩B)=P(A)P(B)=|A||B|p2.

= p|C|=|A||B|.

From this, we understand that neither A nor B are going to be full spaces and hence, no two events a and b are independent and 0<|A|<p and 0<|B|<p. Since |C| is also going to be less than 0 and p is prime, p divides either |A| or |B|.  if p was not prime (say, p=4), then you would only need the factors of p to divide either |A|,|B|, so, it becomes necessary for p to be a prime number. Hence, proved.

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In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above

Answers

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Find the point where the lines intersect: y = 3x and y = x + 16
A: (8,24)
B: (4,12)
C: (4,20)
D: (0,0)

Answers

The answer is A, using substitution you can change it to 3x = x+16 2x=16 x=8 then plug the x into the equation y=3(8) y=24 (8,24)

The diagram shows a circle with the centre O. A, B and C lie on the circumference of the circle. Work out

The diagram shows a circle with the centre O. A, B and C lie on the circumference of the circle. Work

Answers

Answer: ∠AOB=112°

Step-by-step explanation:

Central Angle Property. An inscribed angle is half the measure of a central angle subtended by the same arc. A central angle is twice the measure of an inscribed angle subtended by the same arc. COB since both are subtended by arc(CB)

Then in our case ∠AOB -central ; ∠ACB= inscribed  

Then :

let ∠AOB=2∠ACB=2α ; ∠ACB=α

Then :

∠COA+∠COB+2α=360 (because the full angle is O)

∠СOA+∠COB=360-2α  

And we know :

∠СOA+∠COB+∠CAO+∠ACB+∠CBO=360

360-2α+α+∠CAO+∠CBO=360  

360-a=360-∠CAO-∠CBO

\(\boxed{\angle ACB=\alpha =\angle CAO+\angle CBO} } \sf - \\\\This \ formula always \ works \ , \ the \ main \ thing \ is \ to \ remember \ it\)

Then :

α=(32+24)=56°  ; ∠AOB=2α=56*2=112°

The diagram shows a circle with the centre O. A, B and C lie on the circumference of the circle. Work










- Find the finite difference approximation for a Neumann {BC}\left(\frac{d f}{d x}\right) at node n (right {BC} ) to O\left(h^{2}\right).

Answers

The finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is given by

\(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\),

where \(f_{n-2}\), \(f_{n-1}\), and \(f_n\) represent the function values at nodes \(n-2\), \(n-1\), and \(n\) respectively, and \(h\) represents the spacing between the nodes.

To derive this approximation, we start with the Taylor series expansion of \(f_{n-1}\) and \(f_n\) around \(x_n\):

\(f_{n-1} = f_n - hf'_n + \frac{h^2}{2}f''_n - \frac{h^3}{6}f'''_n + \mathcal{O}(h^4)\),

\(f_{n-2} = f_n - 2hf'_n + 2h^2f''_n - \frac{4h^3}{3}f'''_n + \mathcal{O}(h^4)\).

By subtracting \(4f_{n-1}\) and adding \(3f_n\) from the second equation, we eliminate the first-order derivative term and retain the second-order derivative term. Dividing the result by \(2h\) gives us the desired finite difference approximation to \(O(h^2)\).

In conclusion, the finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is \(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\). This approximation is obtained by manipulating the Taylor series expansion of \(f_{n-1}\) and \(f_n\) to eliminate the first-order derivative term and retain the second-order derivative term, resulting in a second-order accurate approximation.

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Felicia has $45.00 to spend on games at the arcade. Each game costs $2.25. How many games will she be able to play?

Answers

Answer:

Step-by-step explanation:

45 / 2.25 = 20 games

$45.00 / $2.25 = 20 games.

Which table of values represents exponential decay?​

Which table of values represents exponential decay?

Answers

The table of values that represents exponential decay is (c)

How to determine the table of values represents exponential decay?​

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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is 23 squared rational or irrational?

Answers

The answer is:

Rational

Work/explanation:

23² = 529

529 is a whole number.

All whole numbers are rational.

What are rational numbers?

These are numbers that can be expressed in the form of p/q, where q ≠ 0.

Can 529 be expressed in p/q form? Well, we can try.

529 = 529/1, which is p/q form.

Hence, 529 is rational.

what is double the difference of x and 3 then divided by 2 in expression form?

Answers

Answer:

{2(x-3)}/2

I hope that's helpful

find the interval of convergence of ∑=1[infinity]4434. interval of convergence

Answers

There is no interval of convergence for the given series ∑(from n=1 to infinity) of 4434, as it does not converge.

To find the interval of convergence for the given series ∑(from n=1 to infinity) of 4434, we first need to recognize that this series is a constant series, meaning that each term is the same constant value, in this case, 4434.

The interval of convergence for a constant series is dependent on the value of the constant. Since the constant value is non-zero, the series diverges, as it does not approach a finite value when summed to infinity.

Therefore, there is no interval of convergence for the given series ∑(from n=1 to infinity) of 4434, as it does not converge.

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The sum of three consecutive even integers is 108. What is the largest number?
34

Answers

Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

5. Evaluate the following problem if x=10

2x - 8

Answers

Answer:

14

Step-by-step explanation:

ACQ, (According to the question)

x=10

2x - 8

What we have to do is, we have to substitute the value of x with the equation's x, so,

=> 2* 10 - 8

=> 20 - 8

=> 14

Hope it helps :)

what is the value of 3/4 × (1/2 + 1/4 )

Answers

Answer:

\(\frac{9}{16}\)

Step-by-step explanation:

We first distribute \(\frac{3}{4}\):

\(\frac{3}{4} (\frac{1}{2}) +\frac{3}{4} (\frac{1}{4} )\)

\(\frac{3}{8} +\frac{3}{16}\)

We find the common denominator and simplify:

\(\frac{6}{16} +\frac{3}{16}\)

\(\frac{9}{16}\)

Find the product. Equation is below.

Find the product. Equation is below.

Answers

Answer:

12x^3 + 19x^2 + x - 5

Step-by-step explanation:

To solve this, I set up the problem like this:

(3x^2 + x - 1)(4x + 5)

Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:

12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5

Now, you would just combine like terms, which would get you to the final answer.

Hope this helps!

Answer:

12x³ + 19x² + x -5

Step-by-step explanation:

Polynomials are expressions that have multiple terms.

Breaking Apart Polynomials

When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.

Multiplying Polynomials

First, let's multiply the trinomial by 4x.

4x(3x² + x - 1)

To find the product, multiply each term of the trinomial by 4x, then add them back together.

4x * 3x² = 12x³4x * x = 4x²4x * -1 = -4x

So, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.

5 * 3x² = 15x²5 * x = 5x5 * -1 = -5

This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.

(12x³ + 4x²- 4x) + (15x² + 5x - 5)

Then, simplify the expression.

12x³ + 19x² + x - 5

This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.

Mrs. Ryder estimates that 18 people will attend an open house. A total of 30 people actually attend the open house. What is the percent error of Mrs. Ryder’s estimate?

PLEASE HELP!!

Answers

Mrs. Ryders estimate had a 54% of error

CAN someone help me with this pls
WILL GIVE BRAINLIEST

CAN someone help me with this plsWILL GIVE BRAINLIEST

Answers

Answer:

20 mins

Step-by-step explanation:

Answer:

20 mins

Step-by-step explanation:

ok first you divide 275 by 5 (so theh amount typed by the time)

them you get 55 (thats amount per min)

1100 divided by 55 so you get 20

20 minuets for that

How do you dilate a triangle from a point?

Answers

To dilate a triangle, you have to measure the vertical and horizontal from the point to the center of dilatation. The ratio of dilated vertical and horizontal must be the same from the original triangle.

How to dilating triangle step by step?Measure the horizontal and vertical distances from the center of the dilatation point;Make a scale factor and multiply the horizontal and vertical distances;Starting from the center of dilatation, move the point to the number that you gain from the step 2

As a note, the center of dilatation is a fixed point that the figure is dilated ,and scale factor is a constant ratio between the original figure distance to center of dilatation with the dilated figure.

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How did the bombing of Pearl Harbor affect American soldiers? What evidence or information did you get from this document that supports or argues against declaring war on Japan? which of these types of oil would remain solid at the highest temperature? please help i will mark brainlist At a temperature of 45.0 degrees C and pressure of 250. kPa, how many moles will fill a container that is 16.0 L in volume? What events caused the declaration of Independence? what effect did the declaration of Independence have on the future of America Answer the photo below thanks ANSWER PLS!!!!!!!!!!!Is there a different way to balance a synthesis, decomposition, single displacement and double displacement reactions or is it all the same Trying to solve this Which primary rationale substantiates why a full physical health assessment is warranted for clients with depressive symptoms Which of these clothing items is usually worn in winter? ead the following excerpt from Levitt and Dubners Freakonomics. There is a tale, The Ring of Gyges, that Feldman sometimes tells his economist friends. It comes from Platos Republic. A student named Glaucon offered the story in response to a lesson by Socrateswho, like Adam Smith, argued that people are generally good even without enforcement. Glaucon, like Feldmans economist friends, disagreed. He told of a shepherd named Gyges who stumbled upon a secret cavern with a corpse inside that wore a ring. When Gyges put on the ring, he found that it made him invisible. With no one able to monitor his behavior, Gyges proceeded to do woeful thingsseduce the queen, murder the king, and so on. Glaucons story posed a moral question: could any man resist the temptation of evil if he knew his acts could not be witnessed? Glaucon seemed to think the answer was no. The excerpt serves as which of the following in relation to the authors argument? a claim that most people are moral an example of morality in the workplace a conclusion about morality in the workplace a counterclaim to the idea that most people are moral What will a reader most likely learn by analyzing a character's actions?how the character is influenced by the events in a storyO how the character is involved in the events of a storyO what the character believes about the events in a storyhow the character feels about the events in a storyC) what the character is involved in the event of a story A game costs $1.00 to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $7.00 if the card is not a face card, the player receives nothing.What is the expected value for the player? I find the measure of the angle in degrees to this triangle 6. the two things the framers agreed on concerning the executive was that the executive would Write an equation in POINT-SLOPEform that goes through the point (1,11)and is PERPENDICULAR to y=-1/7x+1(TYPE IN YOUR ANSWER WITH NOSPACES). UPLOAD YOUR WORK.point -slopeform:y-y=m(x-x1)slope-intercept for:y=mx+b* What is the powerhouse of the cell? For women, how was Athenian society different from Spartan society? In Athens, women were able to vote. In Athens, women participated in athletics. In Athens, women lived apart from their husbands. In Athens, women had their own social class. find the volume of the irregular figure At the start of the year, 90 people were going to the gym. If 55.6% of them quit going a month later, how many people are going to the gym now?