Jorge worked 6 hours of overtime this week but has decided to take time off instead of overtime pay. How many hours will Jorge receive in time off from work

Answers

Answer 1

Jorge will receive 9 hours in time off from work.

How many hours will Jorge get to take time off?

It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.

Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.

As a result, the time off he receives from work = [tex]1\frac{1}{2} (6)[/tex] hours

[tex]=\frac{3}{2}(6) = 9 hours[/tex]

Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.

What is Fair Labor Standards Act?

The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.

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Related Questions

. A housing down payment is money that a
prospective buyer provides up front when
purchasing a home and is usually a per-
cent of the purchase price of the home. A
lender typically requires private mortgage
insurance (PMI) when the buyer's down
payment is less than 20% of the purchase
price. To secure a mortgage, buyers also
need to have additional cash on hand
for closing costs and prepaid property
tax. Suppose a buyer wants to purchase
a $375,000 house and must have $7,200
on hand for closing costs and property
tax. Which of the following inequalities
represents the total funds (f) the buyer
must have on hand to secure the mortgage
without having to pay PMI?
A) f≤0.2(375,000) + 7,200
B) f≥0.2(375,000) +7,200
C) f≤0.2(375,000 +7,200)
D) f≥0.2(375,000 +7,200)

Answers

Answer:

B) f≥0.2(375,000) +7,200

Step-by-step explanation:

≥ means 'at least'

help me i dont understand this

Answers

False

All functions are relations, but not all relations are functions

help me answer this table problem please

Answers

By using the concepts of relations and functions and based on the table given, the function presents the following relationship:

x → f(x)

7 → 95

How to evaluate a function according to a table

Functions are relations between an input set named domain (x) and an output set named range (f(x)), that is:

x → f(x)

After a quick observation, for x = 7, then f(7) = 95. In more graphically manner, the function present the respective relation:

7 → 95

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Solve the equation and provide all steps ¾ x+2¼ =9

Answers

Answer:

x=9

Step-by-step explanation:

3/4x+2 1/4=9

3/4x=9-2 1/4

3/4x=6 3/4

4(3/4x)=4(6 3/4)

3x=27

x=9

Answer:

x = 9

Step-by-step explanation:

3/4 x + 2 1/4 = 9      subtract 2 1/4 from both sides of the equation

3/4  x = 6 3/4           now divide both sides by 3/4

x = 9

Points u, m, and d are collinear with m between u and d. given um=5x+30 md=3x+80 ud=10x+20

Answers

The lengths um, md and ud are 255 units, 215 units and 470 units respectively, when given that points u, m, and d are collinear with m between u and d and um=5x+30, md=3x+80, ud=10x+20. This can be obtained by adding um and md which is equal to ud. An equation is obtained and solve for x.

What is the required lengths ?

Given that, um=5x+30  

                  md=3x+80

                  ud=10x+20

We know that m is the midpoint of ud

Thus, um + md = ud

                 5x+30 + 3x+80 = 10x+20

                 5x+3x + 30+80 = 10x+20

                      8x + 110 = 10x+20 (taking terms with x to one side of equation)

                             10x - 8x = 110 - 20

                                     2x = 90

                                   ⇒ x = 45

Therefore the lengths,

um=5x+30 = 5(45)+30 = 225 + 30 = 255

md=3x+80 = 3(45)+80 = 135 + 80 = 215

ud=10x+20 = 10(45)+20 = 450 + 20 = 470

Hence the lengths um, md and ud are 255 units, 215 units and 470 units respectively, when given that points u, m, and d are collinear with m between u and d and um=5x+30, md=3x+80, ud=10x+20.

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For the following exercises, find the x- and y-intercepts of the graphs of each function.
26. f(x) = 4| x − 3 | + 4

Answers

For the function f(x) = 4|x - 3| + 4, we have that:

The function has no x-intercepts.The y-intercept is of y = 16.

What is the x-intercept of a function?

The x-intercept of a function is the value of x when y = f(x) = 0, hence:

0 = 4|x - 3| + 4

4|x - 4| = -4

|x - 4| = -1

The absolute value cannot be negative, hence the function has no x-intercepts.

What is the y-intercept of a function?

The x-intercept of a function is the value of y = f(x) when x = 0, hence:

f(0) = 4|0 - 3| + 4 = 12 + 4 = 16.

The y-intercept is of y = 16.

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Collect Data from Our Solar System
Fill in the table. To obtain each planet's distance from the sun

Answers

Answer:

jupiter, Saturn, Uranus, neptune are all distance from sun

Step-by-step explanation:

Answer:

AU:

Merc-0.39

Venus-0.72

Earth- 1

Mars- 1.52

Jupiter - 5.20

Uranus - 19.1

Neptune - 30

Years:

Merc-0.24

Venus-0.61

Earth- 1

Mars- 1.88

Uranus - 84?(maybe)

Neptune - 165

Step-by-step explanation:

Edge

Evaluate the expression using x=-1 and y=3 (6^4y^3)

Answers

The value of the expression when evaluated is: 162.

How to Evaluate an Expression?

To evaluate the expression, 6x^4y^3, substitute x = -1 and y = 3 into the expression and solve.

6(-1^4) × 3^3

6(1) × 27

6 × 27

162

The value of the expression, 6x^4y^3, is: 162.

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PLEASE HELP ME I WILL MARK CORRECT ANSWER BRAINLIEST

Answers

Answer:

36 units

Step-by-step explanation:

to do this you must first find the lengths of all the sides with pythagorean theorem

for a to b you use

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c = 5

5 is one of the lengths

b to c uses the same equation

so

5 is another one of the lengths

for d to c your equation is

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

13 is another of the lengths

d to a has the same length as c to d so there is another 13 unit length

so

5 + 5 + 13 + 13 is your equation to find the perimeter

5 + 5 + 13 + 13 = 36

that is your answer

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
[? ]%

Answers

Answer:

0.1359

Step-by-step explanation:

b) In the last year, the average rainfall in Pokhara valley during the first 6 months was 150 mm and the average rainfall of the remaining months was 60 mm. Find the average rainfall of the whole year. The average selling of the first 4 days of a shop in the last week was c) Rs 425 and the average selling of the remaining days was Rs 250. Find the average selling of the shop in the whole week. a) Shashwat obtained an average marks of 15 in 3 subjects. When the marks obtained in another subject is also included, the average marks is increased by 1. Find the marks obtained in the fourth subject. b) The average marks of English, Nepali, Science and Social Studies obtained by Sunayana is 70. If the marks obtained in Mathematics is also included, the average marks is increased by 5. Find her marks in Mathematics. eative Section - B The a . b ) In the last year , the average rainfall in Pokhara valley during the first 6 months was 150 mm and the average rainfall of the remaining months was 60 mm . Find the average rainfall of the whole year . The average selling of the first 4 days of a shop in the last week was c ) Rs 425 and the average selling of the remaining days was Rs 250. Find the average selling of the shop in the whole week . a ) Shashwat obtained an average marks of 15 in 3 subjects . When the marks obtained in another subject is also included , the average marks is increased by 1. Find the marks obtained in the fourth subject . b ) The average marks of English , Nepali , Science and Social Studies obtained by Sunayana is 70. If the marks obtained in Mathematics is also included , the average marks is increased by 5. Find her marks in Mathematics .​

Answers

Answer:

For b), the answer is 105mm

Step-by-step explanation:

(150+60)/2

The main floor of Kinsey's home is 1,425 square feet. The upper level is 875 square feet with one unfinished bedroom that measures 150 square feet. The finished basement is 1,425 square feet with 7.5-foot ceilings. Kinsey's MLS listing includes below-grade square footage in livable area. What's the reportable square footage for Kinsey's home

Answers

The reportable square footage for Kinsey's home = 2150square feet.

The main floor of Kinsey's home is 1,425 square feet.

The upper level is 875 square feet with one unfinished bedroom that measures 150 square feet.

The finished basement is 1,425 square feet with 7.5-foot ceilings.

That means the square footage of the upper floor plus the main floor (minus the unfinished laundry area).

Kinsey should report square feet (1425+875- 150)

= 2150square feet.

Hence, The reportable square footage for Kinsey's home = 2150square feet.

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CAN SOMEONE HELP PLEASE
a = 3, b = 5, and c = 7. What is m&B° to the nearest tenth?

Answers

Answer: 38.2 degrees

Step-by-step explanation:

[tex]b^2 = a^2 + c^2 - 2ac \cos B\\\\5^2 = 3^2 + 7^2 - 2(3)(7) \cos B\\\\25 = 58-42 \cos B\\\\-42 \cos B=-33\\\\\cos B=\frac{33}{42}\\\\B \approx 38.2^{\circ}[/tex]

The supplement of a 162 degree angle is an angle that measures

Answers

Answer:

18 degrees

Step-by-step explanation:

Supplementary angles are angles that when added together equal 180 degrees.

A + 162 = 180

     - 162  -162

        A  = 18

Answer:

18

Step-by-step explanation:

When your are asked the supplement you minus 162 from 180. When you join SU from supplement and add a 1 behind SU you'll get 180. [1SU TO 180]

180-162

18

What polynomial function could be represented by the graph below

(A). F(X)=x^2+x-2
(B). F(X)=2x^2+2x-4
(C). F(X)=x^2-x-2
(D). F(X)=2x^2-2x-4

Answers

Answer:

(B). F(X)=2x^2+2x-4

Step-by-step explanation:

-4 means it passes through -4 at the y axis

B and D have -4

graph passes thru x axis at -2 and 1

if you enter x = -2 or 1 in the formula

(B). F(X)=2x^2+2x-4

you get 0

it's not D because when you enter -2 or 1 for x

you don't get 0

you get 8 and -4

Answer: (B). F(x) = 2x² + 2x - 4

Step-by-step explanation:

      Let us think about the parent function F(x) = x² to pick our answer.

      Options A and C have only shifted 2 units down (showed by the "-2" at the end) and the function graphed is shifted four units down.

      Between options B and D, one is shifted 2 units to the right, and one is shifted 2 units to the left. We need the one shifted 2 units to the left. This is shown by the "+2x" in option B meaning it is our answer.

Find the equation of the line that passes through (0, -3) and is parallel to
the line joining the points (9, 2) and (3, -5).

Answers

Answer:

y = [tex]\frac{7}{6}[/tex] x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 2 ) and (x₂, y₂ ) = (3, - 5 )

m = [tex]\frac{-5-2}{3-9}[/tex] = [tex]\frac{-7}{-6}[/tex] = [tex]\frac{7}{6}[/tex]

• Parallel lines have equal slopes , so

m = [tex]\frac{7}{6}[/tex] is the slope of the parallel line

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = [tex]\frac{7}{6}[/tex] x - 3 ← equation of parallel line

Hey there!

[tex] \\ [/tex]

Answer:

[tex] \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}[/tex]

[tex] \\ [/tex]

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be [tex] \: \sf{d_1} \: [/tex] and the line that is parallel to [tex] \: \sf{d_1} \: [/tex] be [tex] \: \sf{d_2} \: [/tex] .

[tex] \sf{d_2} \:[/tex] passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

[tex] \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}} [/tex]

[tex] \\ [/tex]

Subtitute the values :

[tex] \sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )} [/tex]

[tex] \implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}[/tex]

[tex] \sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}} [/tex].

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

[tex] \sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.} [/tex]

[tex] \implies \sf{y = \bold{\dfrac{7}{6}}x + b} [/tex] [tex] \\ [/tex]

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line [tex] \: \sf{d_1} \: [/tex]. Now, replace y with -3 and x with 0:

[tex] \implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, the equation of the line [tex] \: \bold{d_1} \: [/tex] is [tex] \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}} [/tex]

[tex] \\ [/tex]

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Assuming the world population growth rate is 1% and the current population is about 7 billion, next year the population will be:

Answers

Assuming the world population growth rate is 1% and the current population is about 7 billion, next year the population will be 7.01 billion.

To calculate the percentage increase rate, use the fundamental increase charge formulation: subtract the original from the brand new cost and divide the results by way of the original cost. to show that right into a percent boom, multiply the results by 100.

The population of a given area is described as the range of humans generally residing in that vicinity, measured on 1 January in a given 12 months. The supply can be the most latest population census.

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What type of triangle is shown below?
31°
28.5
19.2
109°
40%
991

Answers

Answer:

could u send a photo please

4.751 4.373 4.177 4.676 (a) Construct a confidence interval for the mean rate. Round the answer to at least four decimal places. A confidence interval for the mean rate is

Answers

98% confidence interval for the mean rate = [4.1437 , 4.4983]

We are given the interest rates (annual percentage rates) for a 30-year fixed rate mortgage from a sample of lenders in Macon, Georgia for one day ;

4.751, 4.373, 4.177, 4.676, 4.425, 4.228, 4.125, 4.251, 3.951, 4.192, 4.291, 4.414

Now, Firstly we will find the Mean of the above data, Xbar ;

Mean, Xbar = ∑ x ÷ n =

4.751 + 4.373 + 4.177 + 4.676 + 4.425 + 4.228 + 4.125 + 4.251 + 3.951 + 4.192 + 4.291 + 4.414 ÷ 12 = 4.321

Standard deviation, s = √ ∑(x - x bar)²÷ n-1 = 0.226.

Now, the pivotal quantity for the 98% confidence interval for the mean rate is;

P.Q = x bar - ц ÷ n - 1 ≈ tn - 1

where, Xbar = sample mean

s = sample standard deviation

n = sample size = 12

So, 98% confidence interval for the mean rate, μ is ;

P(-2.718 < t₁₁ <2.718) = 0.98

P(-2.718 <Xbar - μ σ√ⁿ < 2.718) = 0.98

P(Xbar - 2.718 * ₈÷ √ⁿ < μ Xbar +  2.718 * ₈÷ √ⁿ ) = 0.98

98% confidence interval for μ = (Xbar - 2.718 * ₈÷ √ⁿ < μ Xbar +  2.718 * ₈÷ √ⁿ ) = 0.98

[4.321 - 2.718 * 0.226 ÷ √₁₂ , 4.321 + 2.718 * 0.226 ÷ √₁₂

                                  = [4.1437 , 4.4983]

Therefore, 98% confidence interval for the mean rate = [4.1437 , 4.4983]

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In order to compute the area of a particular circle, Juan first measures the length of its diameter. The actual diameter is 20 cm, but Juan's measurement has an error of up to $20\%$. What is the largest possible percent error, in percent, in Juan's computed area of the circle

Answers

The largest possible error in the area of the circle is of 44%.

What is the area of a circle?

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

With a diameter of 20 cm = radius of 10 cm, the area in cm² is given by:

[tex]A = \pi \times 10^2 = 100\pi[/tex]

With the error, with a diameter of 20 x 1.2 = 24 cm = radius of 12 cm, the area in cm² is given by:

[tex]A = \pi \times 12^2 = 144\pi[/tex]

The error is given by:

[tex]E = 144\pi - 100\pi = 44\pi[/tex]

The percent error is the error divided by the initial amount, multiplied by 100%, hence:

[tex]P = \frac{44\pi}{100\pi} \times 100\% = 44\%[/tex]

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5. A bus covers a certain distance in 45 minutes if it runs at a Speed of 60km/hr. What must be the speed of the bus in order to reduce the time by 20 minutes.​

Answers

Answer:

108 km/hr

Step-by-step explanation:

45 minutes = 3/4 hours

1) Distance = speed × time

= 60 × 3/4

= 45 km

2) 20 minutes = 1/3 hours. So, 3/4 - 1/3 = 5/12 hours.

speed = distance / time

= 45 / 5/12

= 108 km/hr

Accordding to this function
What is:-

limf(x)
x approches 2⁺​

Answers

Answer:

Limit does not exist

Step-by-step explanation:

This is a piece-wise function, since we are finding the limit of f(x) when x is approaching 2 from the right, we know that x must be more than 2. However, based on the piece-wise function, there is no function that satisfy this condition, therefore the limit does not exist for this piece-wise function

Donna sells pencils for $2 and pens $3. She sold 11 items and made $30. How many pens did she sell ?

Answers

Donna sold 3 pencils and 8 pens solved using simultaneous equation

What is a simultaneous equation?

Simultaneous equation refers to related equations that are solved at the same to derive answers to the unknown variables

Let assume that X pencils were sold and Y pens were sold

The total revenue is the sum of the prices multiplied by the quantities sold.

2X+3Y=30   (equation 1)

The sum of X and Y sold is 11

X+Y=11   (equation 2)

multiply the second equation by 2

2*(X+Y=11)

2X+2Y=22 (equation 3)

subtract equation 3 from 1

(2X+3Y=30)-(2X+2Y=22)

Y=8

Substitute for Y in equation 2

X+8=11

X=11-8

X=3

Which means he sold 3 pencils and 8 pens.

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Answer:

8

Step-by-step explanation:

what is the equation of the given line in the point -slope form

Answers

Answer:

E

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-1}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

using (a, b ) = (3, 4 ) , then

y - 4 = 1 (x - 3) → E

Can you help me please

Answers

Answer: Option D

[tex]\displaystyle d=\frac{C}{\pi}[/tex]

Step-by-step explanation:

    To solve the formula for d, we will isolate the d variable.

  Given:

C = πd

  Divide both sides of the equation by π:

[tex]\displaystyle\frac{C}{\pi}=\frac{\pi d}{\pi}[/tex],     [tex]\displaystyle\frac{C}{\pi}=d[/tex]

  Reflexive property

[tex]\displaystyle d=\frac{C}{\pi}[/tex]

D=c/pie because to get d by it’s self you need to divide pie on both sides

The function g(x) is graphed.

On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5).

Which statements about the function are true? Choose three options.

Answers

The statements about the function that are true include:

g(0) = 0

g(1) = -1

g(-1) = 1

How to depict the function?

From the information, the points include:

(x1, y1) = (-2, 2, 5).

(x2, y2) = (0, 0)

(x3, y3) = (2, 3, 5).

It should be noted that (x2, y2) implies that g(0) = 0. In this case, the statements about the function that are true include g(0) = 0, g(1) = -1, and g(-1) = 1. This is illustrated in the graph.

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50 POINTS HELP NOW

Find the logarithm base 10 of each number:
10

Answers

The logarithm base 10 of the number 10 is 1

How to solve logarithm ?

We have to find logarithm base 10 of number 10.

Therefore, using logarithm rule

logₐ a = 1

Hence,

log₁₀ 10 = 1

Therefore, logarithm base 10 of the number 10 is 1

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Answer:

1

Step-by-step explanation:

What is the value of (-5)^4

Answers

Answer:

-20

Step-by-step explanation:

-5-5-5-5=-20

an elevator has a maximum load restriction of 2.5 tons. is it safe for two tile layers weighing 175 ib and 240 ib plus 80 boxes of tile weighing 50 ib each

Answers

Using proportions, it is found that the elevator will be safe, as the total weight of 2.2075 tons is less than the maximum load restriction of 2.5 tons.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each lb has 0,0005 tons. Hence the total weight in tons that we want to put in the elevator is:

T = (175 + 240 + 80 x 50) x 0.0005 = 2.2075 tons.

Hence, the elevator will be safe, as the total weight of 2.2075 tons is less than the maximum load restriction of 2.5 tons.

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For how many values of x does the graph f(x)= x^2 -3 intersects the x-axis?

Answers

Answer:

cocomelon . 3/5 - 4

Step-by-step explanation:

Answer:

x=[tex]\sqrt3[/tex] and -[tex]\sqrt3\\[/tex]

Step-by-step explanation:

the roots(zeros) are the value of x where the graph intersects the x-axis.

to find the roots:

x^2-3=0

x^2=3

x=+-[tex]\sqrt3[/tex]

Other Questions
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