Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
(1 Point)
Alignment
Orientation
Columns
Borders

A pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41) is x = -2 and y = 3.

To find a pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41), we can use the Extended Euclidean Algorithm.

This algorithm allows us to find the greatest common divisor (gcd) of two numbers (61 and 41 in this case) and express it as a linear combination of the two numbers.

Using the Extended Euclidean Algorithm, we can calculate the gcd(61, 41) as 1.

Along with the calculations, we keep track of the coefficients of 61 and 41, which will give us the values of x and y in the equation.

Starting with the initial values of 61 and 41, we perform the Euclidean Algorithm:

61 = 41 * 1 + 20

41 = 20 * 2 + 1

Working backwards, we substitute the remainders in terms of the previous values:

1 = 41 - 20 * 2

1 = 41 - (61 - 41 * 1) * 2

1 = 41 * 3 - 61 * 2

Comparing this equation to the original equation 61x + 41y = gcd(61, 41), we can see that x = -2 and y = 3.

Therefore, a pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41) is x = -2 and y = 3.

Learn more about Euclidean Algorithm here:

https://brainly.com/question/14884820

#SPJ11

we have that

Let

y ----> total charge

x ----> number of hours

so

First-rate

y=65x+400 ------> equation 1

Second rate

y=95x+100 ------> equation 2

Equate equation 1 and equation 2

65x+400=95x+100

solve for x

95x-65x=400-100

30x=300

x=10 hours

therefore

the answer is

The width of the newspaper page is approximately 22.83 inches, and the length is approximately 28.11 inches.

Let's assume the width of the newspaper page is "x" inches. According to the given information, the length is about 1.23 times the width, so the length can be represented as "1.23x" inches.

The area of a rectangle can be calculated using the formula:

Area = Length × Width

640.98 = (1.23x) × x

640.98 = 1.23x²

Now, let's solve for x by dividing both sides of the equation by 1.23:

x² = 640.98 / 1.23

x² ≈ 521.95

Taking the square root of both sides to solve for x, we find:

x ≈ √521.95

x ≈ 22.83

Therefore, the width of the newspaper page is approximately 22.83 inches.

To find the length, we can multiply the width by 1.23:

Length ≈ 1.23 × 22.83

Length ≈ 28.11

Therefore, the length of the newspaper page is approximately 28.11 inches.

Learn more about width here:

https://brainly.com/question/28497588

#SPJ11

Answer:

8

Step-by-step explanation:

The absolute value of any number is the value of the number when it's positive.

So...

I-8I = 8

and  I8I = 8

Answer:

pagal questions ha ya bakvas questions paper ma dhikaiyo with w with etc and my video knnnnnbhej with will wtwwwwtw with e

As Per the regression model, the tail length of the roadrunner will be underestimate, because the residual is positive.

The term regression model refers provides a function that describes the relationship between one or more independent variables and a response, dependent, or target variable.

Here we have given that a roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance.

And we need to find based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?

While we looking into the given question we have identified that  a sample of 10 roadrunners was taken, and the birds' total length, in centimeters (cm), and tail length, in cm, were recorded.

And the he output shown in the table is from a least-squares regression to predict tail length.

Here by looking at the given total length we know that suppose a road runner has a total length of 59.0 cm and tail length of 31.1 cm.

Based on these condition we have identified that option (a) is correct.

To know more about Regression model here

https://brainly.com/question/29665935

#SPJ4

Answer:

the 2nd one

Step-by-step explanation:

Answer:

The answer is C. (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57

Step-by-step explanation:

I took the K12 test

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

Answer:

Area = 36 cm^2

Explanation:

The area of a parallelogram is the product of width and height

Now in our case w = 9 cm and h = 4cm; therefore, the area is

which is our answer!

Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.

One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.

The specific class or collection of numbers known as whole numbers includes:

Two positive whole numbers greater than 1 are 2 and 3.

2 and 3 does not have any common factor except 1.

sum of 2 and 3 = 5

Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.

Know more about the positive whole numbers

https://brainly.com/question/30765230

#SPJ1

Simplify the equation for x.

Answer is -7.

You find the litres of petrol you want and go up until you find where the line crosses this point and then see how far you can travel on the left so

a is 15km

and b is 39km

Answer:

I would but there's no image

The best estimate of the elk population, to the nearest whole number, is 250.

To estimate the elk population, we can use the mark-recapture method. This method assumes that the ratio of marked individuals to the total population is equal to the ratio of marked individuals recaptured to the total number of individuals captured in the second sample.

Let's denote the total elk population as "P" and the number of marked elk in the first sample as "M1". We also know the number of marked elk recaptured in the second sample, which is "M2", and the total number of elk counted in the second sample, which is "N2".

According to the mark-recapture method, we can set up the following equation:

M1 / P = M2 / N2

Plugging in the given values, we have:

30 / P = 18 / 150

To solve for P, we can cross-multiply and then divide:

30 * 150 = 18 * P

4500 = 18P

Dividing both sides by 18:

P = 4500 / 18

P ≈ 250

Therefore, the best estimate of the elk population, to the nearest whole number, is 250.

To learn more about whole number here: brainly.com/question/29766862

#SPJ11

To gather information about the elk population, scientists marked 30 elk. Later, they flew over the area and counted 150 elk, 18 of which were marked. To the nearest whole number, what is the best estimate of the elk population ??

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

In the given question we have to explain what is range in relation and function.

The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

To learn more about domain and range link is here

brainly.com/question/20349151

#SPJ4

A study of all the students at a small college showed a mean age of 20.4 and a standard deviation of 2.7 years.

(a) These numbers are statistics because they are based on a sample of students from a small college. They are not certain, but estimates.

(b) The mean age is labeled with the symbol x and the standard deviation with the symbol s. The sample size is not given, so we cannot use the symbol n to represent it.

To know more about standard deviation click here

https://brainly.com/question/13336998

#SPJ11

the cdf for the random variable x is given by fx(x) = 1 - 1/x.

a cdf (cumulative distribution function) is a function that gives the probability that a random variable X is less than or equal to a specific value x. In this case, the cdf fx(x) for the random variable x is equal to 1 - 1/x.

To calculate the probability that x is less than or equal to a specific value, we can plug in that value for x in the cdf formula. For example, if we want to find the probability that x is less than or equal to 2, we can plug in 2 for x in the formula and get:

fx(2) = 1 - 1/2
fx(2) = 0.5

This means that there is a 50% chance that x is less than or equal to 2.

the cdf for the random variable x is given by fx(x) = 1 - 1/x, which allows us to calculate the probability that x is less than or equal to a specific value.

To learn more about probability visit:

https://brainly.com/question/32117953

#SPJ11

The mistake that the researcher made is that; neither critical nor obtained Chi squares can have negative values

A chi-square statistic is one way to show a relationship between two categorical variables. In statistics, there are two types of variables: numerical (countable) variables and non-numerical (categorical) variables.

The chi-squared statistic is a single number that tells you how much difference exists between your observed counts and the counts you would expect if there were no relationship at all in the population.

Now, Chi square (χ²) is the sum of a set of squared values, and as such it can never be negative. The minimum chi - squared value would be obtained if each Z = 0 so that χ² would also be 0. There is no upper limit to the χ² value. Similarly, the critical chi square cannot also be negative.

Thus, we can conclude that the mistake that the researcher made is that neither critical nor obtained Chi squares can have negative values

Read more about  chi - square statistic at; https://brainly.com/question/4543358

#SPJ1

Answer:

its triangle shown in attached figure

Step-by-step explanation:

Graph is attached

Answer:

54 i think

Step-by-step explanation:

Answer:54

Step-by-step explanation:

The decimal 0.54 is equal to 54/100

Answer:

r=6

Step-by-step explanation:

(r-(-3))/(2-(-1)) = (r+3)/3

r+3/3 = 3/1

cross-multiply:

r+3 = 9

r = 6

Check:

6-(-3)/2-(-1) should equal 3

9/3 = 3

checks out correctly

Answer:

r = 6

Step-by-step explanation:

Formula

m = (y2 - y1)/(x2 - x1)

Givens

x1 = - 1

x2 = 2

y1 = - 3

y2 = r

m = 3

Solution

3 = (r - -3) / (2 - - 1)         Combine

3 = (r + 3) / 3                 Multiply both sides by 3

9 = r + 3                       Subtract 3 from both sides

6 = r + 3 - 3

6 = r

Answer:

a) 12d + 9

c) 30d + 12

d) 207

Explanation:

First, we need to write an expression for each accessory.

Since d is the number of boxes, we get:

Turbo Jet Pack. Six times the number of boxes plus seven

6d + 7

X-Ray Vision Glasses. Five less than two times the number of boxes

2d - 5

Invisible Shield. One more than ten times the number of boxes

10d + 1

Part A.

Then, the Laser Saber has sales equal to 1.5 times the difference of the number of Invisible Shields and X-Ray Vision Glasses.

1.5((10d + 1) - (2d - 5))

Because 10d + 1 is the number of invisible shields and 2d - 5 is the number of X-Ray Vision Glasses.

Now, we can simplify the expression as

1.5(10d + 1 - 2d + 5)

1.5(8d + 6)

1.5(8d) + 1.5(6)

12d + 9

Part C.

Then, we need to add all the expressions before to get:

(6d + 7) + (2d - 5) + (10d + 1) + (12d + 9)

(6d + 2d + 10d + 12d) + (7 - 5 + 1 + 9)

30d + 12

Therefore, the total number of all four accessories is 30d + 12

Part D.

To know how many accessories did it sell, first, we need to find how many dozens are 78 action figures, so

78/12 = 6.5

Therefore, they sold 6.5 boxes of the action figure. Now we can find the number of accessories sold, replacing d with 6.5 in the expression of part C, so

30d + 12

30(6.5) + 12

195 + 12

207

Then, they sold 207 accessories.

Answer:

The answer is -11(3x-1)

Step-by-step explanation:

Thats what the calculator said

Hope this helps!!!

the correct option is (c )

Answer:

A. The domain is (1,∞), and the range is (-7,∞)

Step-by-step explanation:

Well lets graph it first,

Look at the image below ↓

By looking at the image we move it 3 units right and 3 units down.

Then it will be located at the point (1,-7).

Meaning for the domain it starts at 1 and goes on for infinity.

And For the range it starts down at -7 and goes down for infinity.

Thus,

the correct answer is choice A.

Hope this helps :)

Answer:

A

Step-by-step explanation:

Solution:-

- First we will go through the guidelines that are followed when a given function [ f ( x ) ] is translated in a cartesian coordinate system domain.

Horizontal shifts:

Where, the constant ( a ) denotes the magnitude of shift  

Vertical shifts:

Where, the constant ( b ) denotes the magnitude of shift  

- The generalized form of a translated function is defined by the combination of both horizontal and vertical shifts as follows:

                    General: f ( x ) -> f ( x ± a ) ± b

Where, (a) and (b) are constants of respective translation shifts.

- We are given a function H ( x ) is to be translated 3 units to right and 3 units down. Use the above guidelines to determine the translated function H* ( x ) as follows:

                    \(H ( x ) = \sqrt{x+2} - 4\\\\H^* ( x ) = H ( x - 3 ) - 3\)

- Substitute ( x - 3 ) in place of all ( x ) in the given function H ( x ) and subtract ( 3 ) from H ( x ) as follows:

                   \(H^* ( x ) = \sqrt{x-3 + 2} -4 - 3\\\\H^* ( x ) = \sqrt{x-1} -7\\\)

- Now we will look for any transcendental functions in the translated function H*(x). These are " Radicals, fractions, Logs, trigonometric ratios "

- We have a radical - > " square root " in H* ( x ). To find the domain of H*(x) we need to determine for what real values of x is the function H*(x) is defined.

- The square root exist for all only positive numbers. So the terms under the square root must be positive; hence,

                     \(x - 1 \geq 0\\\\x \geq 1\)

- Since the square root is the only transcendental in the given function H*(x) we have a one sided closed interval for the domain of the translated function.

                    Domain: [ 1 , ∞ )       ... Answer  

- The range of the function is the corresponding output of function H*(x) for the domain established above. We can determine this by plugging in the end-points of the defined domain in the translated function H*(x) as follows:

                    \(H^* ( 1 ) = \sqrt{1 - 1} - 7 = -7\\\\H^* ( inf ) = \sqrt{inf - 1} - 7 = inf - 7 = inf\\\\\)

Therefore the range of the function is also a one sided closed interval bounded by x = 1.

                    Range: [-7 , ∞ )       ... Answer

Answer:

Step-by-step explanation:

Given that Tex's initial account balance is $100 and he withdrew this amount,

in the evening  he deposited $250

the change that happened in the account is described with the operation bellow

relative change= (old-new)/old

relative change= (100-250)/100

relative change= (150)/100

relative change= 1.5

Answer:

150

Step-by-step explanation:

250-100=150

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ1