Put the following numbers in order (from
largest to smallest):
-55.5, -12.2, -12, -55

All the Options (1, 2, 3) are correct i.e., A is always similar to A. and  If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.

Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.

Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We have to first find the slope of the given line. To do that we must write the given line to slope-intercept form.

\(5x - 3y = 8\)

Subtract the sides of the equation minus 5x :

\( - 3y = 8 - 5x \\ - 3y = - 5x + 8\)

Divided the sides of the equation by -3 :

\( \frac{ - 3}{ - 3}y = \frac{ - 5x + 8}{ - 3} \\ \\ y = \frac{5}{3}x - \frac{8}{3} \)

We know that the slope-intercept form of the linear functions is like this :

\(y = a \: x + b\)

Where a is the slope and b is width of origin.

So the slope of the given line is 5/3.

_________________________________

STEP (2)

The slopes of two lines perpendicular to each other are symmetrical and inverse to each other.

In other words, the product of the slopes of two lines perpendicular to each other is -1 .

So :

\( \frac{5}{3} \times (t) = - 1 \\ \)

Divided the sides of the equation by 5/3 :

\( \frac{ \frac{5}{3} }{ \frac{5}{3} } \times t = \frac{ - 1}{ \frac{5}{3} } \\ \\ t = - \frac{3}{5} \)

((t)) is the slope of the line which we want to find.

_________________________________

STEP (3)

We have this equation to find the slope-intercept form of the linear functions :

\(y - y(given \: point) = (slope) \times ( \: x - x(g \: p) \: ) \\ \)

Now Just need to put the slope and the given point in the equation:

given point = ( -5 , 2 )

slope = -3/5

\(y - 2 = - \frac{3}{5}(x - ( - 5)) \\ y - 2 = - \frac{3}{5}(x + 5) \\ y - 2 = - \frac{3}{5}x - 3 \\ \)

Subtract the sides of the equation plus 2 :

\(y = - \frac{3}{5}x - 1 \\ \)

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

The intercept value gives the required answer, Hence, the number of rows that had been completed is 12.

Using the linear equation relation , we could compare two equations from the graph as follows :

y = bx + c

27 = 30b + c ___ (1)

22 = 20b + c ___ (2)

subtract (1) from (2) :

5 = 10b

b = 0.5

substitute b = 0.5 into (1)

27 = 30(0.5) + c

27 = 15 + c

c = 27 - 15

c = 12

Therefore, the number of rows that has been completed is 12.

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Answer:

3,4.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

In this question:

The function is:

\(g(x) = \frac{x^2+4x-5}{x^2-7x+12}\)

In a fraction, the values not in domain are the values for which the denominator is 0.

Find all values of that are NOT in the domain of g.

It will not be in domain if the denominator is 0. So

\(x^2 - 7x + 12 = 0\)

That is, a quadratic equation with \(a = 1, b = -7, c = 12\)

\(\Delta = (-7)^{2} - 4(1)(12) = 49 - 48 = 1\)

\(x_{1} = \frac{-(-7) + \sqrt{1}}{2(1)} = 4\)

\(x_{2} = \frac{-(7) - \sqrt{1}}{2(1)} = 3\)

The values are 3 and 4, so the answer is 3,4.

Answer:

k=2

Step-by-step explanation:

(3/5k)-5=7/10k

we multiple both sides by 10k to get only one k

10k(3/5k)-5 = 7

(30k/5k)-5 =7 now we add 5 to other side and simplify our k fraction

6k= 12 divide by 6

k=2

Answer:

x^2 - x - 6 = 0

Step-by-step explanation:

If the quadratic equation has solutions 3 and -2, then it can be factored as:

(x - 3)(x + 2) = 0

Expanding the left side of the equation, we get:

x^2 - x - 6 = 0

This is the quadratic equation that has a leading coefficient of 1 and solutions 3 and -2.

A expression having only one term is called monomial.

\(Eg:- 3x, { - 4y}^{2} , \frac{3}{2} yz \)

A expression having two terms is called Binomial.

\(Eg: 2x - 3y \: , {4x}^{2} + 5zx\)

A expression having three terms is called trinomial.

\(Eg: - 3p + 5q - \frac{2}{5} pq\)

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

Answer:

y= -2x-2

Step-by-step explanation:

In order to advise the tire manufacturer on their advertising effectiveness and allocation, we need to calculate the marginal return to sales for each region, assess the impact of additional advertising expenditure, determine where the additional money should be spent, and consider the reallocation of current advertising expenditures.

To find the marginal return to sales for each region, we differentiate the sales equation with respect to x. For Region 1, ds_1/dx = 36 - 2.6x, and for Region 2, ds_2/dx = 19 - 1.2x. If $10 million is being spent on TV advertising in each region, we substitute x = 10 into the respective equations to find the marginal return to sales. In Region 1, ds_1/dx = 36 - 2.6(10) = 11, and in Region 2, ds_2/dx = 19 - 1.2(10) = 7. Hence, the marginal return to sales is $11 million in Region 1 and $7 million in Region 2.

To determine which region would benefit more from additional advertising expenditure, we compare the marginal returns. Since the marginal return in Region 1 is higher ($11 million) compared to Region 2 ($7 million), Region 1 would benefit more from additional advertising expenditure.

If additional money is made available for advertising, it should be spent in Region 1 as it has the higher marginal return. Increasing the advertising expenditure in Region 1 would likely result in a greater increase in sales revenue compared to Region 2.

To reallocate money already being spent to produce more sales revenue, we should compare the coefficients of the quadratic term (x^2) in the sales equations. In Region 1, the coefficient is -1.3, and in Region 2, it is -0.6. Since the coefficient in Region 1 is larger in absolute value, reallocating some advertising expenditure from Region 2 to Region 1 would likely lead to a larger increase in sales revenue overall.

Therefore, based on the analysis, the tire manufacturer should focus on increasing advertising expenditure in Region 1, as it has a higher marginal return, and consider reallocating some advertising funds from Region 2 to Region 1 to optimize sales revenue.

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Answer:

42

Step-by-step explanation:

The product of 6 multiplied by 7 is 42.

We have to find the value of 6×7.

To find the product of 6 multiplied by 7, you simply multiply the two numbers together.

6 multiplied by 7 can be calculated as:

6 x 7

When six is multiplied with seven we get forty two.

= 42

Therefore, the product of 6 multiplied by 7 is 42.

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Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Answer:

19.3 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 71°

Adjacent = 6.3 cm

Hypothenus = BC =?

The length BC can be obtained by using cosine ratio. This is illustrated below:

Cos B = Adjacent / Hypothenus

Cos 71 = 6.3 / BC

0.3256 = 6.3 / BC

Cross multiply

0.3256 × BC = 6.3

Divide both side by 0.3256

BC = 6.3 / 0.3256

BC = 19.3 cm

Thus, Lenght of side BC is 19.3 cm

Answer:

c

Step-by-step explanaticcon:

Answer:

5.14

Step-by-step explanation:

The similarity ratio is 4/7 we can write an equation to find x

4/7 = 9/x cross multiply

7x = 36 divide both sides by 7

x = 5.14 approximately

Answer:

The answer is B

Step-by-step explanation:

5.14 hope this helps. :)

Answer:

x= 14/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x−13−3x4=562x+−13+−34x=56(2x+−34x)+(−13)=56

(Combine Like Terms)

54x+−13=5654x+−13=56

Step 2: Add 1/3 to both sides.

54x+−13+13=56+1354x=76

Step 3: Multiply both sides by 4/5.

(45)*(54X)=(45)*(76)x

=14/15

The cups of shampoo concentrate that Devin needs to add to the water in order to make the shampoo solution is 8.

Ratio expresses the relationship between two or more numbers. Ratio is used to compare two or more numbers together in order to determine the number of times one value is contained in another value.

The ratio of shampoo concentrate to water is 2 : 9

In order to determine the cups of shampoo concentrate to add, multiply the ratio of  shampoo concentrate by the cups of water used and divide by the ratio of water.

Division is the mathematical operation that is used to determine the quotient of two or more numbers. The sign used to represent division is ÷.

Number of cups of shampoo concentrate needed = (2 x 36) / 9 = 8

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By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

Answer:

The correct answer is 1,026 c^4 de^3.

Step-by-step explanation:

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

10 and 11

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

The number of ways cans a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position, is 84.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

A president, vice president, and secretary be chosen from a committee of 9 people,

Calculate the number of ways by using the combination as shown below,

\(N = 9C_3\)

Here, N is the number of ways,

N = 9! / [3!(9-3)!]

N = 9! / [3!6!]

N = 84

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Answer:

To reduce this fraction, simply divide the numerator and denominator by 4 (the GCF). So, 436 = 4÷436÷4 = 19. Thus, 436 is equivalent to 19 in the reduced form.

Step-by-step explanation:

The solution for the expression 4(36) after you simplify can be expressed as 144.

To simplify the expression 4(36), we need to perform the multiplication operation.

4 multiplied by 36 can be calculated as follows:

4 x 6 = 24 (multiplying the units digit)

4 x 30 = 120 (multiplying the tens digit)

Now, we add the results together:

24 + 120 = 144

Therefore, the number 4 multiplied by the number 36in brackets is equals to 144.

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Answer:

Amount spent on food  = 510

Amount spent on entertainment = 720

Step-by-step explanation:

They have 3000 for vacation.

Amount spent on food = 17% of 3000

or 17/100*3000

17*30= 510

Amount spent on entertainment = 24% of 3000

or 24/100*3000

24*30= 720

Answer:

1/2

Step-by-step explanation: