what is the greatest common factor of this equation

The order of a matrix is a way to describe its size or dimensions in terms of the number of rows and columns it has.

It is typically represented by the notation m x n, where m is the number of rows and n is the number of columns. For example, a matrix with 3 rows and 4 columns would have an order of 3 x 4.

The order of a matrix is important because it determines how the matrix can be operated on or manipulated, such as in matrix addition, multiplication, or transposition.

It is a fundamental concept in linear algebra and is used extensively in many fields, including mathematics, physics, engineering, and computer science.

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The interpretation of the slope is that it represents the additional cost per mile driven, beyond the initial charge of $30.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The equation for the total cost of renting the truck is:

C = 30 + 2.50m

where C is the total cost

m is the number of miles driven.

The slope of the equation is the coefficient of "m", which is 2.50. The slope represents the rate of change of the total cost with respect to the number of miles driven.

In this case, the slope of 2.50 means that for each mile driven, the total cost of renting the truck increases by $2.50.

So, the interpretation of the slope is that it represents the additional cost per mile driven, beyond the initial charge of $30.

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Answer:

Step-by-step explanation:

Lets set up a table to keep the information organized.  See the attached table.

There are 6 recipients:  1 cat and 5 nieces.  But since one of the nieces gets an extra 5%, let's treat the extra amount as a separate recipient, which is lablelled N' in the table (Green arrow).  Now enter the percentages for each recipient group.  The percentages for the cat and N', the extra for the youngest niece, are 35% and 5%, as noted.  That leaves 60% to be equally divided among the 5 nieces (including the youngest one who get an additional 5%).  [Note that the 5% extra for niece N' was removed from the total before the remainder can be evenly split amoung the 5 nieces.]

The percentages are multiplied by the total of $38,000 to yield the amounts shown on the table.  

                      Cat:   $13,300

4 younger nieces:   $ 4,560 each  ($18,240) total

    Oldest niece:      $ 6,440

                                  ======

                                                          $38,000 total

[Footnote:  the oldest niece adopted the cat]

The amount of money that the cat inherits and other niece would be =$13,300 and $24,700 respectively.

The total amount of money that is the worth of the estate of Uncle Scrooge = $38000

The amount of money that goes to the cat = 35% of $38000.

That is;

= 35/100× 38000

= 1330000/100

= 13,300

The amount of money that will be received by the remaining niece = 38000-13300 =$24,700

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Answer:

81°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°.

The base of the 10 triangles make a straight line.  180/10 = 18°

The small angle along the base is 18°

180-18 = 162

The other two angles of the triangle must add up to 162. Since this is a isosceles triangle.  The other 2 angles have the same measurements.

162/2 = 81.  The measurement of the angle we are looking for is 81°

The three dimensional shapes  are objects that have three dimensions - length, width, and height. Cubes, spheres and pyramids are the examples of 3D shapes

Three-dimensional shapes, also known as 3D shapes, are objects that have three dimensions - length, width, and height. These shapes exist in physical space and can be perceived and touched. Some common examples of 3D shapes include:

Cubes: A cube is a six-sided shape with all sides equal in length, and all angles right angles.

Spheres: A sphere is a round 3D shape with no corners or edges.

Pyramids: A pyramid is a three-dimensional shape with a polygon as its base and triangular faces that meet at a point called the apex.

Cylinders: A cylinder is a 3D shape with a circular base and straight sides that extend upwards.

These shapes can be found in a variety of contexts, from architecture to engineering, to everyday objects like toys and packaging.

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The distribution is roughly symmetric and unimodal, and the median and IQR best represent the data set.

If you plot a histogram of the data;

the distribution appears to be roughly symmetric and unimodal.

We can also calculate some summary statistics to better understand the center and spread of the data:

The range is a simple measure of spread, but it can be heavily influenced by outliers.

The IQR is a more robust measure of spread that is less affected by outliers.

Finally, the standard deviation is a commonly used measure of spread that takes into account how far each data point is from the mean.

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Step-by-step explanation:

You can choose from four main ways to detect outliers:

1.Sorting your values from low to high and checking minimum and maximum values.

2.Visualizing your data with a box plot and looking for outliers.

3.Using the interquartile range to create fences for your data.

4.Using statistical procedures to identify extreme values

please make me brainilist

Here is an explanation to understand step by step how to do this.

A volume can be determined for any three-dimensional object using formulas that are unique to that item's shape. For instance, the volume of a water bottle indicates how much water it can hold. Understanding an object's volume is crucial since it indicates how much stuff that shape can carry.

Any form or object's volume is directly inversely proportional to the volume of water it displaces when submerged in water because of its link to density. As a result, there are two ways to determine an object's volume: by mathematically calculating it using the formula unique to that shape, or by submerging it in water and measuring the volumetric displacement of the water.

Answer:

1 = 37° 2= 53° 3=106° 4=74°

Step-by-step explanation:

I apologize in advance since I am not the best at explaining but I'll do my best:

All triangles add up to 180° since you already know 106° you can subtract 106° from 180° to get 74° so you divide that by 2 to get angle 1 since both angles will be the same (since all the triangles are isosceles triangles) now since it's a rectangle all angles add up to 90° so subtract 37° from 90° to get angle 2 now you only have 3 and 4 left 3 is 106° since it's the same as the first triangle now to find four since you know angle 2 you know both of the bottom angles are 53° now 53 times 2 equals 106° so you subtract 106° from 180° and get 74°

Forming linear equations, the cost of a t-shirt and a notebook will be $1 and $6 respectively.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that

club A sold 2 t-shirts and 3 notebooks, and made $20.

Club B sold 2 t-shirts and 1 notebook, for a total of $8.

Let x and y be the cost of t-shirt and notebook respectively

then 2x+3y=20--->1

and 2x+y=8 --->2  will be the equations formed.

Now subtracting 2 from 1

we get 2x-2x+3y-y=20-8

2y=12

y=6

then  2x+6=8

x=1

Hence,

           the cost of a t-shirt and a notebook will be $1 and $6 respectively.

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The average rate of change of the cost from the 6th month to the 8th month is 1.

Rate of change is a major of house quickly one quantity change in relation to another it is parisu of the changing 122 the changing another quantity over specified time period.


The average rate of change from the 6th month to the 8th month can be calculated by taking the difference between the 6th and 8th month's cost and dividing it by the number of months between the two. In this case, the difference is 8.5 - 6.5 = 2, and the number of months is 2, so the average rate of change is 2/2 = 1. Therefore, the average rate of change of the cost from the 6th month to the 8th month is 1.

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The distance between the two points, we can use the trigonometric equation distance = altitude/tan(angle of depression). Using this equation, we can calculate the distance to be approximately  6,665.93 ft.

Pilot is at point A. The angles of depression to mileposts B and C are 32 degrees and 56 degrees, respectively. We are asked to find the distance between B and C.

Let AB = x, BC = y, and AD = CD = h = 25,000 ft.

tan(32°) = h/AB

tan(56°) = h/AC = h/(AB + BC)

We can use the first equation to solve for AB:

AB = h/tan(32°) = 25,000/tan(32°) ≈ 44,908.55 ft

We can use the second equation to solve for AC:

tan(56°) = h/(AB + BC)

tan(56°) = 25,000/(AB + BC)

AB + BC = 25,000/tan(56°)

BC = 25,000/tan(56°) - AB ≈ 38,242.62 ft

Therefore, the distance between the two mileposts is:

BC ≈ 38,242.62 - 44,908.55 ≈ 6,665.93 ft

So the distance between the two mileposts is approximately 6,665.93 ft.

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Answer:

360 miles

Step-by-step explanation:

To calculate how far a freight train travels in 4.5 hours, you need to know the train's average speed. Once you know the average speed, you can use the following equation to calculate the distance traveled: Distance = Speed x Time. So, if the freight train is traveling at an average speed of 80 miles per hour, it will have traveled a total of 360 miles in 4.5 hours.

Answer:

Step-by-step explanation:

x is one blanket

y in one sheet

3x+y=190

2y+x=100

y=190-3x

2y+x=100

replace the y in the second equation with the first one

2(190-3x)+x=100

380-6x+x=100

380-5x=100

-5x=100-380

-5x=-280

x= -280/-5

x=56

replace the x with 56 so you can find the y

2y+56=100

2y=100-56

2y=44

y=44/2

y=22

so one blanket is 56 and a sheet is 22

Answer: A=77  B=103   C=90  D=90  E=103   F=77   G=77

Note: This may not be right.

Step-by-step explanation:

Calculus convergence tests are methods used to determine whether an infinite series converges or diverges.

An infinite series is a sum of infinite terms, such as 1/2 + 1/4 + 1/8 + 1/16 +...

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The solution is, a single firm producing a product for which there are no close substitutes.

A pure monopoly has been characterized mostly as individual manufacturer sellers, i.e., 100 percent of the market share. Throughout the UK, a corporation can be considered and has monopolistic control if someone has a market penetration of further above 25 percent.

here, we have,

A pure monopoly is a single supplier having a market or industry i.e. defined.

The firm should be considered as an industry also in this there is no competitor or any subsitution existed.

It can be arise at the time when the market share of the one firm is more than 90%

So as per the given situation, the above represent the answer

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The cook still needs 24 kilograms of beans to complete the recipe. The cook has a total of 2 bags of beans, each containing 7 kilograms of beans.

Therefore, the total weight of the beans he has is 2 * 7 = 14 kilograms.

To find out how many more kilograms of beans he needs, we can subtract the weight of the beans he has from the total amount he needs. Therefore:

Amount of beans the cook needs - Amount of beans the cook has = Amount of beans he still needs

Substituting the values we get:

38 - 14 = 24

Therefore, the cook still needs 24 kilograms of beans to complete the recipe.

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None of the coordinate points given are part of the solution set of the given system.

An inequality is used to make comparisons between the numbers or expressions. For example -

2x + 4 > 5

4x + 6 > 2

Given is the system of linear inequality as given below -

y ≥ 12x

y < 2x − 3

Refer to the graph of the system of linear inequality attached. The region common to the both the inequalities represents the solution set of the given system of linear inequality. It can be seen that none of the points are on the common region. So, we can say that none of the points is the solution set of the given system.

Therefore, none of the coordinate points given are part of the solution set of the given system.

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Therefore , the solution of the given problem of unitary method comes out to be  $1,320, $3,960, and $5,280, respectively.

After determining the dimensions of one tiny slice, multiply the sum by two to complete a work using unitary procedure. The unit variable methodology, which just requires an expression, can be used to equation a coded unit from a certain group or set of groups. 40 pens, for example, might cost Rs. 4,000, which would be equal to $1.01 and 4000 pounds. It's possible that one country will have total control over the method employed to do this. Virtually every living creature has a distinctive quality.

Here,

In 2016, the prices for 1, 3, or 4 gold ounces were $1,320, $3,960, and $5,280, respectively.

In 2016, 2 gold ounces would cost $2,640.

1 ounce of gold costing $2 in 2016 is equal to $2 divided by 2 ounces of gold. in 2016.

= $2,640 ÷ 2

= $1,320

The price of 3 grams of gold for 2016 equals the price of One ounce of gold. multiplied by 3.

= $1,320 × 3

= $3,960

cost of one ounce of gold. in 2016 multiplied by 4 to get the price of 4 ounces of gold. in 2016.

= $1320 × 4

= $5,280

The price of 1, 3, and 4 gold ounces each in 2016 is therefore $1,320, $3,960, and $5,280, respectively.

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A circle cannot be the shape of the cross section because a circle has a shape that is parallel to its bases (not perpendicular). Moreover, it cannot be a triangle or a trapezoid. Rectangle (B) is the correct response.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. As a result, it is also known as a parallelogram or an equiangular quadrilateral.

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Herefore, the vertices of the final image after applying the composition T−2,4 ◦ RO,180° to ΔXYZ are X''(-2, -1), Y''(0, -1), and Z''(0, 1).

First, we need to perform a reflection over the x-axis and then a translation of 2 units to the left and 4 units up. This is the transformation T−2,4.

Next, we need to perform a rotation of 180 degrees about the origin. This is the transformation RO,180°.

We can apply these transformations to each vertex of the first triangle ΔXYZ to obtain the coordinates of the final image.

Applying T−2,4 to each vertex:

T−2,4(X) = (2, 5) → reflection over x-axis → (2, -5) → translation 2 units left and 4 units up → (0, -1)

T−2,4(Y) = (2, 3) → reflection over x-axis → (2, -3) → translation 2 units left and 4 units up → (0, 1)

T−2,4(Z) = (4, 3) → reflection over x-axis → (4, -3) → translation 2 units left and 4 units up → (2, 1)

Applying RO,180° to each vertex:

RO,180°(0, -1) = (0 × cos(180°) - (-1) × sin(180°), 0 × sin(180°) + (-1) × cos(180°)) = (0, 1)

RO,180°(0, 1) = (0 × cos(180°) - 1 × sin(180°), 0 × sin(180°) + 1 × cos(180°)) = (0, -1)

RO,180°(2, 1) = (2 × cos(180°) - 1 × sin(180°), 2 × sin(180°) + 1 × cos(180°)) = (-2, -1)

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Answer:

x is (-4,-1)

y is (-4,1)

z is (-6,1)

Step-by-step explanation:

Three possible lengths for the chameleon when its tongue is extended are 25 inches, 30 inches and 32 inches

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

Length = 23 3/4 inches

Extension = 35 1/4 inches

Using the above as a guide, we have the following:

The possible lengths are between 23 3/4 inches and 35 1/4 inches

Examples of lengths within this range are

25 inches, 30 inches and 32 inches

Hence, the possible lengths are 25 inches, 30 inches and 32 inches

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The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

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Answer:

Jennifer will choose office 3, as it has a area of 98ft

Step-by-step explanation:

1. Has a area of 96ft  ( 12 x 8 = 96 )

2. Has a area of 90ft ( 9 x 10 = 90 )

3. Has a area of 98ft ( 14 x 7 = 98 )

4. Has a area of 90ft ( 15 x 6 = 90 )

Answer: Use the formula C (percent change/ percent difference) = x (the final value)-Y (the initial value) / Y, or C= x-y/y

Step-by-step explanation: This is the official formula. I found that it's easier to use the bigger value in the top x-y first, so you don't have to calculate the absolute value, but other than that the formula is correct.

To use back substitution to solve a system of equations, work backwards from the last equation to the first.

Back replacement is a strategy for settling frameworks of conditions by working in reverse from the last condition to the first. To settle an arrangement of conditions utilizing back replacement, follow these means:

Begin with the last condition in the framework and tackle for the variable with the biggest coefficient.

Substitute this worth into the second-to-last condition and tackle for the relating variable.

Keep subbing values from the tackled conditions into the excess conditions, working in reverse until all factors are settled.

Actually look at the arrangement by subbing the qualities into the first conditions.

Back replacement is a valuable technique for tackling frameworks of conditions, particularly when the conditions are in three-sided structure or when Gaussian disposal has been applied. Be that as it may, it may not be the most proficient technique for bigger frameworks, and different strategies, for example, grid reversal or Cramer's standard might be more suitable

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To eliminate the x-variable term from an equation, we need to multiply that equation by the opposite of the coefficient of the x-variable. If the first equation is of the form ax + by = c, then we need to multiply it by -a to eliminate the x-variable. Therefore, the number we should multiply the first equation by to eliminate the x-variable term is -3 if the first equation is of the form 3x + 2y = 7.

The image is an enlargement of the pre-image |s| > 1. The image is a reduction of the pre-image 0 < |s| < 1. The image is the same as the pre-image rotated 180 s = 1.

We double the length of each of the original shape's sides by a quantity known as a scale factor to enlarge a given shape. The shape will become smaller or larger depending on the scale factor, which can range from 0 to 1. If the scale factor is greater than 1, the shape will become larger. The image, for instance, displays a dilation with a scale factor of two.

The image is an enlargement of the pre-image |s| > 1.

The image is a reduction of the pre-image 0 < |s| < 1.

The image is the same as the pre-image rotated 180 s = 1.

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The domain that describes the function is,

All whole number

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

C(t) = 0.05t + 20

C(t) represents the total cost per month and t is the number of text.

Now,

t is the domain of the function C(t).

C(t) can not be in negative value so, t has to be a positive number.

And,

t can be any positive real number.

Now,

All real numbers included negative numbers.

All real numbers that are multiples of 0.05 included negative numbers.

Thus,

All whole number describes the domain of C(t).

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