2

Simplify the expression

(1 point)

A = [1 0 0; 0 1 0; 0 0 0] and B = [1 1 0; 0 0 0; 0 0 0] are two integer matrices that are not multiples of each other such that Nul(A) = Nul(B) and Col(A) = Col(B).

To find integer matrices A and B that are not multiples of each other such that Nul(A) = Nul(B) and Col(A) = Col(B), we can start with the following matrices:

A = [1 0 0; 0 1 0; 0 0 0]

B = [1 1 0; 0 0 0; 0 0 0]

The null space of A consists of all vectors of the form [x; y; 0], where x and y are integers. Similarly, the null space of B also consists of all vectors of the form [x; y; 0]. Therefore, Nul(A) = Nul(B).

The column space of A consists of all vectors of the form [x; y; 0], where x and y are integers. Similarly, the column space of B also consists of all vectors of the form [x; y; 0]. Therefore, Col(A) = Col(B).

We can verify that A and B are not multiples of each other by computing their determinants. The determinant of A is 0, while the determinant of B is 0 as well. However, A and B are not multiples of each other because the first column of A is [1; 0; 0], while the first column of B is [1; 0; 0] + [0; 1; 0], which is a linear combination of the columns of A.

Therefore, A = [1 0 0; 0 1 0; 0 0 0] and B = [1 1 0; 0 0 0; 0 0 0] are two integer matrices that are not multiples of each other such that Nul(A) = Nul(B) and Col(A) = Col(B).

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Find integer matrices A, B not multiples of each other such that Nul(A)=Nul(B)andCol(A)=Col(B)?

Answer:

m∠1=46°

m∠2=44°

m∠3=44°

m∠4=90°

m∠5=73°

m∠6=17°

m∠7=17°

Answer: The answer is {x,y}={17/5,-68/5}

Answer:

12x + 50 =210

Step-by-step explanation:

Given the data on the world problem, we know that one of our terms will be 12x because it says "each month" in the problem. If his mom is going to give him 50 dollars, and the Jordans cost 210, then we can write  a simple equation.

x = number of months it will take him

[tex]12x+50=210[/tex]

Answer: 5.8=x

Step-by-step explanation:

$210=Price

$12=Each Month

$50=From Mom

120-50=70

70/12=5.8 Months

Answer: x = -11

Step-by-step explanation:

[tex]\frac{-x+10}{3} = 7[/tex]

⇒-x+10 = 7x3
⇒-x+10 = 21
⇒-x = 21-10
⇒-x = 11
∴ x = -11

You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .

The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.

The given question is related to probability and statistics.

Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.

The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.

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Answer:

A.

Step-by-step explanation:

Answer A. sin(pi/2)=1, and because it is orthogonal to the x-axis, the x value is 0.

The volume of the figure is 18 cubic units

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

The figure

The figure can be divided into two 3-D figures represented below

Cube: side length = 2

Cuboid: 2 by 5 by 1

The volume of the figure is then calculated as

Volume = Volume of cube + Volume of cuboid

So, we have

Volume = 2 * 2 * 2 + 2 * 5 * 1

Evaluate

Volume = 18

Hence, the volume is 18 cubic units

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The relative retention of compound B with respect to compound A is 0.053.

The relative retention is defined as the ratio of the difference in retention times of two compounds (α) to the retention time of the first eluting compound (tr1):

α = (tr2 - tr1) / tr1

where tr2 is the retention time of the second compound.

In this case, compound A eluted at 12.63 min and compound B eluted at 13.30 min. The compound that is not retained by the stationary phase eluted at 1.145 min.

Therefore, tr1 = 1.145 min, tr2 = 13.30 min, and:

α = (13.30 - 12.63) / 12.63

α = 0.053

Therefore the relative retention of compound B with respect to compound A is 0.053.

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Answer:

672

Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer

(a) The probability of finding oil is 0.85

(b) The firm interpret the soil test as the probability of finding oil has decreased since the prior probabilities.

c) The revised probabilities is 100%.

A oil company has purchased an option on land in Alaska.

To determine the likelihood of finding oil, the company conducted preliminary geologic studies to assign prior probabilities of finding high-quality oil (0.65), medium-quality oil (0.20), or no oil (0.15). Therefore, the probability of finding oil is 0.65 + 0.20 = 0.85.

After 200 feet of drilling on the first well, a soil test was taken to determine the likelihood of finding high-quality oil (0.20), medium-quality oil (0.80), or no oil (0.20).

The results of this test should be interpreted as follows: the probability of finding oil has decreased since the prior probabilities.

Therefore, the revised probabilities are 0.20 + 0.80 = 1.00. This means that the oil company has a 100% probability of finding either high-quality or medium-quality oil.

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Answer:

B. 360

Step-by-step explanation:

A rule of polygons (octagon included) is that the sum of the exterior angles always equals 360 degrees.

The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

6k − j^2 + 2k ÷ l

now, we have to simplify the given expression, using multiplication , division, addition & subtraction , as per the BODMAS rule.

so, we get,

6k − j^2 + 2k ÷ l

when j = 5, k = 12, and l = 3.

putting the values, we get,

30 - 25 +24 /3

=30 -25 + 8

=5+ 8

=13

Hence, The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.

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The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.

The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.

If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.

On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.

Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.

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The variance is 0.745

The  standard deviation is 0.863

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

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Answer:

2 units

Step-by-step explanation:

To find the difference between 10 and 12, we can use this equation:

Or:

Therefore, the difference is 2.

The correct options for the given polynomial are:

To analyze the end behavior of a polynomial we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12, so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

NEG/EVEN

That means that in both ends the polynomial tends to negative infinity, so:

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The area of the given composite figure is the sum of the areas of triangles and the area of the rectangle, which is 11 sq. units.

What is a composite figure?

Geometric figures can be combined from two or more separate geometric figures. A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. The total of the individual areas will represent the composite shape's area.

The given composite figure can be divided into the shapes given below.

There are 3 right triangles and one rectangle.

The sum of the areas of each shape makes the area of the given composite figure.

Δ ARC

base RC, b = 3

Height AC, h = 4

Area = 1/2 * b * h = 1/2 * 3 * 4 = 6 sq. units.

Δ RST

base RS, b = 2

Height ST, h = 2

Area = 1/2 * b * h = 1/2 * 2 * 2 = 2 sq. units.

Δ BCK

base BK, b = 1

Height BC, h = 2

Area = 1/2 * b * h = 1/2 * 1 * 2 = 1 sq. units.

Rectangle SCBT

length l = 2

Breadth b = 1

Area = 2 * 1 = 2 sq. units

Therefore the area of the given composite figure is = 6 + 2 + 1 + 2

                                                                            = 11 sq. units

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The AP Statistics formula sheet is illustrated below.

An Advanced Placement (AP) Statistics class, you may be wondering if there is a formula sheet available to help you study and prepare for exams.

The formula sheet includes formulas and equations that are commonly used in statistics, such as measures of central tendency, standard deviation, probability, hypothesis testing, and regression analysis. These formulas are essential for understanding statistical concepts and solving problems in real-world applications.

It's important to note that while the formula sheet is available during the AP exam, it does not include every formula that you will need to know. You will still need to have a solid understanding of statistical concepts and be able to apply them to new situations.

In addition to the formula sheet, it's also helpful to practice working with data sets, analyzing graphs and charts, and interpreting results.

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The expression for the measure of the given angle in the image of the circle with center O is [tex]\frac{arc UZW}{2}[/tex].

Remember that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. According to this, we can deduce the following expression for the measure of the given angle:

[tex]m\angle UXY = \frac{arc UZW}{2}[/tex]

An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner". The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex. The angle in the plane does not need to be in Euclidean space.

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Answer:

The answer is $11.60

Step-by-step explanation:

Step-by-step explanation:

4³ = 4 × 4 × 4

4³ = 16 × 4

4³ = 64

Answer: 4³ = 4 × 4 × 44³ = 16 × 44³ = 64

Step-by-step explanation: hope this helps0^0

The converted value of measuring mass 145 kilograms to pounds is equal to 320 pounds ( round off to near pounds )

Standard relation between kilograms and pounds are :

One kilograms is equal to 2.20462 pounds

Now substitute the required converted value 145 kilograms in the above standard relation we have ,

⇒ ( 1 × 145 ) kilograms = ( 145 ) ×  ( 2.20462 ) pounds

⇒ 145 kilograms = 319.67 pounds

⇒ 145 kilograms = 320 pounds ( round off to near pounds )

Therefore, after conversion of mass unit kilograms into pounds is given by  145 kilograms = 320 pounds ( round off to near pounds ).

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There are 160 students in the seventh grade.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

To calculate the number of students in the seventh grade, you must divide the number of students in the Environmental Club by the percentage they represent. The answer is 8 divided by 0.05, which equals 160. Therefore, there are 160 students in the seventh grade.

The Environmental Club provides students with an opportunity to learn more about the natural environment and how to help protect it. The club members work together to come up with ideas to promote environmental awareness and action in their school and community. They plan activities such as tree-planting, trash clean-ups, and educational presentations. The club also participates in activities like field trips to local parks and nature preserves.

By joining the Environmental Club, students can gain a better understanding of their local environment and how to protect it. This can help them become more aware of their actions and how they can make a difference in the world. They can also develop leadership and communication skills, as well as an understanding of the importance of teamwork. Furthermore, they can make friendships and connections with other students who share the same values and interests.

Overall, the Environmental Club is an important part of the school community and provides great benefits to its members. It allows students to gain knowledge, build skills, and make a positive difference in their communities.

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The length of the box is x = 13 inches. To find this, we need to solve the equation V = l*w*h = 180, where l is the length, w is the width, and h is the height.

We know that w = l - 5 and h = l + 2, so we can substitute these into the equation to get 180 = l(l - 5)(l + 2). After rearranging, we get

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

To calculate this, we first need to set up the equation. We know that the volume of the box is 180 in³ and the width is 5 inches less than the length, and the height is 2 inches more than the length. We can then substitute this into the equation V = lwh to get 180 = l(l - 5)(l + 2).

After rearranging, we get

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

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Answer: 96

Step-by-step explanation:

Answer:

You are correct! The actual distance, in miles, between Zionsville and Lafayette is 96 miles. This is calculated by multiplying 8 inches (the distance on the map) by 12 miles (the scale of the map), which results in 96 miles.

Answer: Cry 8374629173

Step-by-step explanation: Cry like 2734295

Answer:

ED

Step-by-step explanation:

Since,

Δ ABC ≅ Δ DEF

Side AB is congruent to side DE

Or

BA is congruent to ED.

Answer:

<1,6>

Step-by-step explanation:

We are adding vectors.  Add the first components together.  Then add the second components together.

<5, -2> + <-4, 8>

< 5+-4, -2+8>

<1,6>

Answer:

Function.

Step-by-step explanation:

This graph is a function because all points on the line are different and do not intersect. (vertical line test)

Hope it helped!