(a) Show that for every integer n>1, there exists A,B∈R
n×n
such that: (i) rank(A)=rank(B). (ii) det(A)=det(B). (iii) P
A
​
(x)=P
B
​
(x). (iv) A and B have the same eigenvalues. (v) trace(A)=trace(B). (vi) A is NOT similar to B. (b) Show that there are infinitely many such matrices A and B.

Answer:

AC = 12.6

AB = 49.8

C = 73°

Step-by-step explanation:

(B/sin(14)) = (52/sin(93))

B = (52*sin(14))/sin(93)

B = 12.6

(C/sin(73)) = (52/sin(93))

C = (52*sin(73))/sin(93)

C = 49.8

In the circle the expression that have measures equal to 35° is <ABO and <BCO equal to 35

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.

A circle is the most common example of an arc, yet it can also be a section of other curved shapes like an ellipse. A section of a circle's or curve's boundary is referred to as an arc. It is additionally known as an open curve.

Measure of arc AD = 180

measure of arc CD= (180-125)

=55

m<AOB= 55 ( measure of central angle is equal to intercepted arc)

<OAB= 90 degrees

In triangle AOB ,

< AB0 = 180-(90+55)

= 35 degrees( angle sum property of triangle)

In triangle BOC

< BOC=125 ,

m<, BCO=35 degrees

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The complete question is

For circle O, m CD=125 and m

In the figure<__ABO__, (AOB, ABO, BOA)

and <__OBC___ (BCO, OBC,BOC) which of them have measures equal to 35°?

The expressions for the next two odd numbers after 2n -1 are; 2n +1 and 2n +3.

If follows from the task content that the expressions for the next two odd numbers after 2n-1 are required.

Since odd numbers are have difference 2, it follows that the next 2 odd numbers must be obtained by adding each time. Hence, we have, 2n +1 and 2n +3.

The sum is a multiple of 3 because; 2n -1 + 2n +1 + 2n +3 = 6n +3 = 3(2n+1).

Hence, the sum is multiples of 3.

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A numerical measure computed from a sample, such as sample mean, is known as Sample statistic

What is Statistic?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

A sample statistic is a metric that is calculated from a sample, such as sample mean. A population parameter is a numerical measure derived from a population, such as a mean.

Any value calculated from your sample data is referred to as a sample statistic (or simply a statistic). The sample average, median, sample standard deviation, and percentiles are a few examples. Because a statistic is based on data gathered through random sampling, which is a random experiment, it is a random variable.

Hence, A numerical measure computed from a sample, such as sample mean, is known as Sample statistic

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Answer:

-3/2

Step-by-step explanation:

Answer:

\(1\frac{1}{9}\)

Step-by-step explanation:

Given the following question:

\(1\frac{2}{3} \times\frac{2}{3}\)

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

\(1\frac{2}{3} =3\times1=3+2=\frac{5}{3}\)
\(\frac{5}{3} \times\frac{2}{3}\)
\(5\times2=10\)
\(3\times3=9\)
\(=\frac{10}{9}\)

Convert the improper fraction into a mixed number:

\(\frac{10}{9}\)
\(\frac{10}{9} =10\div9=1\frac{1}{9}\)
\(=1\frac{1}{9}\)

Your answer is "1 1/9."

Hope this helps.

Answer:

Step-by-step explanation:

Given equation:

Step 1, subtract 7.5 from both sides:

Step 2, divide both sides by 8.5:

Correct answer choice is B

Answer:

A. 6m - 3p - 16

Step-by-step explanation:

Answer:

do u have a graph

Step-by-step explanation:

Answer:

The height is of a cone is 18 cm

Answer:

12 cm

Step-by-step explanation:

Using Pythagoras theorem

Square of Height+Square of Radius=Square of Slant height

H^2+5^2=13^2

H^2+25=169

H^2=169-25

=144 cm

H=12 cm

Answer:

88/1344

Step-by-step explanation:

Candace would save approximately $2,480 by waiting a year and not taking her unpaid time from work to travel. Thus, Option A holds the truth.

By waiting a year, Candace would be able to save her 2 weeks of salary, which would amount to:

And since she would not have to pay the 1% interest for a year on the loan for her trip, she would save:

So in total, Candace would save:

Candace would save $2,480 by waiting a year to take her trip and paying for it with her own money.

This question should be provided with answer choices, which are:

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Answer:

Each interior angle of a pentagon equals 108 degrees.

Therefore Angle U = 108 degrees.

The angle of the square is 90 degrees.

Therefore, Angle x = 360 - 108 -90 degrees = 162 degrees!

Step-by-step explanation:

let's take a looksie at the polygon, hmmm it has 5 sides so it's Pentagon, ok, so

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies S=180(5-2)\implies S=540\)

Answer:

CHECK IN THE OPEN

Step-by-step explanation:

75 percent

Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.

Answer:

5.4 · 0.2

1.08 = 20%

5.4 + 1.08

6.48 ounce bottle

Answer:

Velvet Buzzsaw

Escape room

Saint Maud

Cadaver

Answer:

your a mean one

winnie the pooh blood and honey

m3gan

micheal myers

chucky

the terrorfyer

scream

the congering

freddy keroger

friday the 13th

the bride of chucky

the seed of chucky

texas chainsaw massacar

fun house massacar

puppet master

stranger things

house of a thosand corps

please give me brainliyist

Step-by-step explanation:

Quick question: Is this a multiple choice question and if so, may you provide the multiple choice answers before I give you a proper answer?

Answer:

700

Step-by-step explanation:

A=hxw

A square has all equal sides

700×700=4900

Answer:

1 candy bar is $1.25

2 candy bars is $2.50

3 candy bars is $3.75

4 candy bars is $5

Equation:

y = 1.25x

y being the cost and x being number of candy bars

Answer:

  c.  54.6°

Step-by-step explanation:

The Law of Cosines can be used to find the first of the unknown angles in a triangle with only three side lengths given.

  b² = a² +c² -2ac·cos(B)

Solving for B, we have ...

  2ac·cos(B) = a² +c² -b²

  B = arccos((a² +c² -b²)/(2ac)) = arccos((10.4² +21.9² -18²)/(2(10.4)(21.9)))

  B = arccos(0.579053) ≈ 54.6° . . . . . matches choice C

Answer:

C 54.6°

Step-by-step explanation:

Using cosine law:

18² = 10.4² + 21.9² - 2(10.4)(21.9)cosB

cosB = 2029/3504

B =54.6160711

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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The length of the given segment is 1.6cm.

The length of a line segment can be measured by measuring the distance between its two endpoints. It is the path between the two points with a definite length that can be measured.

On a graph, the length of a line segment can be found by using the distance formula between its endpoints.

A scale (ruler)

An instrument used to measure the length of a line segment is the scale (ruler). Scale (rulers) are used for measuring a line, and the straight edge allows them to be used for drawing, scoring etc.

In the given segment we will place the scale on 0cm

Then we will draw two points starting from 0 cm to the given red line.

we will measure this line on scale.

The value  measured will be 1.6 cm.

Thus The length of the given segment is 1.6cm.

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If Southland is producing at point X, to determine the number of additional schools it can produce without giving up any movies, we need to refer to the concept of production possibilities frontier (PPF).

The PPF represents the maximum output combination of two goods that an economy can produce with its available resources and technology.

In this case, movies and schools are the two goods being produced. If Southland is operating at point X on the PPF, it means it is efficiently allocating its resources to produce a certain quantity of movies and schools. To find out how many more schools can be produced without sacrificing any movies, we need to identify a point on the PPF that lies on the same movie production level as point X.

Let's assume that at point X, Southland is producing 10 movies. To determine the number of additional schools, we need to find a point on the PPF where the movie production level is also 10. Let's say at this point, Southland can produce 20 schools.

Therefore, the answer is 20 more schools.

If Southland is producing at point X and is currently producing 10 movies, it can produce an additional 20 schools without giving up any movies. This calculation is based on the assumption that the PPF remains constant and there are no changes in resource availability or technology.

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The percent of the variance in the dependent variable unexplained by the independent variable is 81%

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

\(r = 0.3\)

The explained variance is found using the following formula:

\(R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9\)

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Answer:

Part A: the cross section is a rectangle.

Part B: it’s a parallelogram.

Step-by-step explanation:

Part A explanation: The cross section is a rectangle. The cross section of any right prism parallel to its base is congruent to the base. Figure 2 shows the cross section of a right rectangular prism perpendicular to its base. The cross section is a rectangle.

Part B explanation: When a rectangular prism is cut diagonally to its base, the cross-section is a parallelogram.

Answer:

The answer to your problem is,

Step-by-step explanation:

A rectangle prism has a rectangular base and uniform in height

The shapes formed are:

Part A :

When the rectangular prism is cut so that it is perpendicular to the rectangular base, the the shape formed would be a rectangular base, then the shape formed would be a rectangular prism shape.

Part B :

When the rectangular prism is cut across the opposite diagonals, then the shape formed would be a triangular prism.

Thus the answer to your problem is,