Which shows the expressions in the order they would appear on a number line from least to greatest? (1 point) a 17 over 9 , Square root of 6 , Square root of 15 , Square root of 30 , 33 b 33, Square root of 30 , Square root of 15 , Square root of 6 , 17 over 9 c 33, Square root of 6 , Square root of 15 , 17 over 9 , Square root of 30 d 17 over 9 , Square root of 30 , Square root of 15 , 33, Square root of 6

Answers

Answer 1

The arrangement of the numbers on the number line is;

17/9 < √6 < √15 < √30 < 3³.

What is the number line?

The number line refers to an orderly arrangement of numbers. We must know that the number line moves from left to right. The numbers are always increasing from left to right along the number line.

Now the numbers are;

17/9 = 1.89 √6 = 2.45 √15 = 3.87 √30 = 5.483³ = 27

Hence the arrangement of the numbers on the number line is;

17/9 < √6 < √15 < √30 < 3³.

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Related Questions

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9

Answers

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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20 points!! !!

help me

20 points!! !!help me

Answers

Answer:

The mean absolute deviation (MAD) is 0

Step-by-step explanation:

20 + 16 + 21 + 16 + 22 + 16 + 15

= 126 ÷ 7 = 18

(20 - 18) + (16 - 18) + (21 - 18) + (16 - 18) + (22 - 18) + (16 - 18) + (15 - 18) =

2 +(-2) + 3 + (-2) + 4 + (-2) + (-3) = 0 ÷ 7= 0

The mean absolute deviation (MAD) is 0

Adam has 312pounds of ground beef.

How many burgers can he make if each burger requires 14 pound?

PLS HELP NOWWWW

Answers

312/14= 22.285

He can make 22 burgers. Please mark me as the Brainliest.

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

Cuánto es 12X=60:( ???

Answers

60/12=5 Divide 60 por 12 para tener a x solo
X= 5
12X=60 move the twelve to the opposite side
X=60/12 divide 60 by the 12
X=5

what are the solutions of the quadratic equation 4x^2-8x-12=0

Answers

Answer:

         x₁ = -1,   x₂ = 3

Step-by-step explanation:

\(4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3\)

6(7-5) jkwjwjnwnwnnenenenenenne

Answers

12 is the answer 6x2 basically

(16/81) raised to the -3/4

Answers

the answer is 32.4365844727

The Area of a Rectangle is 40. The width is 2 less than 3
times the length. Find the width.
O 10
O 12
O 15
O 14

Answers

Therefore, the width of the rectangle is 10.

So, the answer is (O) 10.

How to find width of the rectangle?

To find the width of a rectangle, you will need to have at least one of the following pieces of information:

Length and area: If you know the length and area of the rectangle, you can use the formula for area (A = length x width) and solve for the width (W = A/length).

Perimeter and length: If you know the perimeter and length of the rectangle, you can use the formula for perimeter (P = 2 x length + 2 x width) and solve for the width (W = (P - 2 x length)/2).

Diagonal and length: If you know the diagonal and length of the rectangle, you can use the Pythagorean theorem (\(a^2 + b^2 = c^2\)) to solve for the width. \((W = \sqrt(c^2 - length^2)),\) where c is the diagonal and a and b are the length and width (in some order).

Ratio of length to width: If you know the ratio of length to width, you can use this ratio to solve for the width. For example, if the ratio of length to width is 3:2, and the length is 15, then the width would be 10 (because 15/3 = 5 and 5 x 2 = 10).

Measurements: If you have physical access to the rectangle, you can measure the width directly using a ruler or tape measure.

Let's assume the length of the rectangle as "L" and the width as "W".

From the given information, we know that:

The area of the rectangle is 40, so we have the equation:

\(L x W = 40\)

The width is 2 less than 3 times the length, so we have the equation:

\(W = 3L - 2\)

Now we can substitute the second equation into the first equation and get:

\(L x (3L - 2) = 40\)

Expanding the left-hand side, we have:

3L^2 - 2L - 40 = 0

Dividing both sides by 1, we get:

\(3L^2 - 2L - 40 = 0\)

Using the quadratic formula, we get:

\(L = 4 or L = -10/3\)

Since the length of a rectangle cannot be negative, we take L = 4.

Then, we can use the equation W = 3L - 2 to find the width:

\(W = 3 x 4 - 2 = 10\)

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I NEED HELP PLEASE PLEASE HELP ME :(

I NEED HELP PLEASE PLEASE HELP ME :(

Answers

Answer:

-1/125

Step-by-step explanation:

1/(-5)^3

evaluate

1/-125

* You have a dog that can run 5 km/hr. How fast can she run in mi/hr? (i.e. convert the rate to miles per hour) (1.6 km=1mi) DO NOT JUST TYPE THIS INTO A CONVERTER ONLINE. YOU WILL NOT GET THE ANSWER RIGHT. Express your answer as decimal, rounded to the nearest thousandth (three decimal places) in mi/hr - no spaces EXAMPLE: 78.345mi/hr

Answers

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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1) A builder laying the foundations of a garage wants to be sure he has the walls of the garage are at right angles. The length of the garage is 6m and the width is 5cm.

Explain how measuring the length will check that the walls of the garage meet at right angles.​

Answers

Answer:

you're thinking about buying a house but you really want to figure out how much area does a house cover what is the the square footage of the house or what is the area of the foundation of the house so right here we have the floor plan of the house and you're tasked with finding its area and you're given the dimensions of a bunch of walls of the house this wall right here is 18 feet this is 8 feet this is 20 feet 20 feet 5 feet 26 feet 15 feet and 25 feet but you're a little confused you know how to find the area of rectangles but how do you find an area of a strange shape like this so I encourage you to pause this video and try to figure out the area of this strange house footprints shape for plan shape using the techniques that you already know about so what you already do know about is how to find the area of rectangles so if we can break this houses floorplan into a series of rectangles and find out the areas of those rectangles then we can figure out the area of this entire house so let's break it into a bunch of simpler rectangles so I could have one rectangle here it has a width of 20 feet and it has a length of 20 feet so that would be a rectangle right over there and we should be able to figure out its area then I could set up another rectangle that has a width of 26 feet and has a length that's it's length right over there and we could think about in a second what that length actually is actually let's think about that how would we figure out what this length actually is well this this length plus 5 feet is going to be the same thing as this length over here is the same as the opposite wall of this of this rectangle so this length Plus 5 feet is 20 feet well this must be 15 feet so this blue rectangle is 15 feet long and 26 feet wide now let's add another rectangle we could have one that's 18 feet long and then goes the entire length of the house goes the entire length of the house like that and you might say wait how do we figure out its width how do we figure out the width of this rectangle well we know that this is 8 feet we know that this is 20 feet and we know that this is 26 feet so the entire width is going to be 26 feet plus 20 feet so 26 plus 20 gets us to 46 plus 8 gets us to 54 feet so this is 54 54 feet right over here did I do that right let's see 8 plus 36 would be 34 plus 20 is 54 feet and then finally we have one last rectangle to deal with this rectangle right over here which is 15 feet long and 25 and 25 feet wide and so now we can calculate the areas of the different rectangles so the total area is going to be the 20 feet by the 20 feet so let's just multiply them so it's going to be 20 times 20 that's this area right over here plus 15 times 26 so plus 15 times 26 that's this area right over there plus 18 times 54 plus 18 times 54 which is this area right over there and then finally plus 15 times 25 plus 15 times 25 which is this area this area right over here so we just have to now evaluate these things so what is 20 times 20 well this is going to be 400 what's 15 times 26 let's multiply it out 26 times 15 6 times 5 is 30 2 times 5 is 10 plus 3 is 13 now I'm going to multiply a 10 times 26 gets us to 260 and you add these two together you get 390 so it's 400 plus 390 now we've got to multiply 18 times 54 54 times 18 so let's do that 54 times 18 8 times 4 is 32 8 times five is 40 plus three is 43 now we're multiplying this 10 times 54 gets us to 540 and we add 2 plus 0 is 2 this 30 plus the 40 gets us to a 70 is or it's a 3 plus a 4 in the tens place and then 400 plus 500 is 900 so we get to 972 and one more of these multiplications 25 times 25 times 15 and actually we could do that in our head this is 26 times 15 so 25 times 15 is going to be this minus 15 so it's going to be 300 you see if you subtract 10 you get to 380 subtract another 5 375 let me do it in that same color so plus plus 375 and now let's add up these numbers so we have 375 plus 972 plus three hundred and ninety 390 plus 400 plus 400 and so this gets us to five this is the homestretch we deserve a drum roll now 5 plus 2 is 7 7 plus 7 is 14 plus 9 is 23 2 plus 3 is 5 plus 9 is 14 17 21 so the square footage of this house 2137 square square feet

an airline pilot is flying at 10,000 feet in the air and sees his airport at angle of depression of 12 degrees. To the nearest foot how far is the pilot from the airport ? the pilot is ______ feet from the airport.

Answers

Using the sine function:

\(\begin{gathered} \sin (\theta)=\frac{opposite}{hypotenuse} \\ \sin (12)=\frac{10000}{x} \\ solve= \\ x=\frac{10000}{\sin (12)} \\ x=48097ft \end{gathered}\)

an airline pilot is flying at 10,000 feet in the air and sees his airport at angle of depression of 12

(0 – 3) – 8 (2 + 4)​

Answers

Answer:

-51

Step-by-step explanation:

Which of the following will result in a rational number? Select all that apply.
A
16
53
2.
B.
5+ 7
+
C.
53
V7
4.
D.
V16
53
1
2

Which of the following will result in a rational number? Select all that apply.A16532.B.5+ 7+C.53V74.D.V165312

Answers

Answer:

hopes this help

Step-by-step explanation:

C

Answer:

I agree with

rihannarichmond5

Could someone please answer and explain the following question?

Could someone please answer and explain the following question?

Answers

Answer:

see explanation

Step-by-step explanation:

the error in the question is that

sec²x = \(\frac{1}{cos^2x}\) ≠ \(\frac{1}{sin^2x}\) , and

csc²x = \(\frac{1}{sin^2x}\) ≠ \(\frac{1}{cos^2x}\)

have been used incorrectly in simplifying the expression

then

\(\frac{tan^2x+1}{1+cot^2x}\)

= \(\frac{sec^2x}{csc^2x}\)

= \(\frac{\frac{1}{cos^2x} }{\frac{1}{sin^2x} }\)

= \(\frac{1}{cos^2x}\) × \(\frac{sin^2x}{1}\)

= \(\frac{sin^2x}{cos^2x}\)

= tan²x

You have a balance of 17,426 on your credit card. Your minimum monthly payment is 461 . If your interest rate is 15.5%, how many years will it take to pay off your card assuming you don't add any debt? Enter your response to two decimal places (ex: 1.23)

Answers

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Given inverse demand function P=342-190, what does the price need to be so that sales are Q=10?
a, 18
b.36
c.152
d.171

Answers

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.

To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.

Let's start by substituting Q=10 into the inverse demand function:

P = 342 - 190 * Q

P = 342 - 190 * 10

P = 342 - 1900

P = -1558

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.

Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.

Therefore, none of the options are correct.

It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.

If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.

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Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.) x ? 2y + z = 3 2x ? 5y + 6z = 7 2x ? 3y ? 2z = 5 (x, y, z) =

Answers

The solution of a linear equation is (-2,5,4).

The equations given in the questions are,

x - y + 2z = 1 ..[1]

3x + y + 5z = 19  ..[2]

2x - y - 2z = -17 ...[3]

Putting the value of y from [1] in [2]and [3]

y = x+ 2z -1

3x + (x+ 2z -1) + 5z = 19  

4x + 7z = 20  ...[4]

2x - (x+ 2z -1) - 2z = -17

x - 4z = -18   ...[5]

Solving equations [4] and [5] by substitution:

Putting values of x from [5] in [4]

x = 4z -14

4(4z -18) + 7z = 20

16z - 72+ 7z =20

23z = 92

z = 4

x = 4 × (92 ÷ 23) - 18

x = -2

y = (-2) + 2 × (92 ÷ 23) - 1

y = 5

(x,y,z) = (5.-2,4)

The solution of the equation is (-2,5,4).

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given f(x)=x+2 setting k=4 affects the slope and y- intercept of the graph of g compared to the graph of f g(x) = 4(x + 2)

Answers

The constant term is 8, which means that the y-intercept of the graph of g is (0, 8).

What is function?

In mathematics, a function is a rule that assigns a unique output value for every input value in a set. It is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are widely used in various fields of mathematics, science, engineering, and technology to model and analyze real-world situations, to describe how quantities depend on one another, and to solve problems.

Here,

If we set k=4, the function g(x) becomes:

g(x) = k(x+2) = 4(x+2)

The value of k affects the slope of the graph of g compared to the graph of f. In this case, since k=4, the slope of the graph of g is 4 times the slope of the graph of f.

The slope of the graph of f is 1, since the coefficient of x is 1. Therefore, the slope of the graph of g is:

4 * 1 = 4

This means that the graph of g is steeper than the graph of f.

The y-intercept of the graph of f is 2, since the constant term is 2. Setting k=4 does not affect the y-intercept of the graph of g, since the constant term remains the same:

g(x) = 4(x+2) = 4x + 8

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Which graphs present functions?

A. graph B and D
B. graph A only
C. graph D only
D. graph C and graph D​

Which graphs present functions?A. graph B and DB. graph A only C. graph D only D. graph C and graph D

Answers

The answer is A. Graph B and D
The answer is option C. Graph D only represents a function; it passes the vertical line test, while the 3 other graphs fail the vertical line test.

Write and solve the equation and then check your answer. A number increased by twenty-six is forty-two. Which statements are correct? Check all that apply. This is an addition problem. This is a subtraction problem The correct equation is s + 26 = 42. The correct equation is s – 26 = 42. To solve the equation, add 26 to both sides. To solve the equation, subtract 26 from both si

Answers

Answer:

This is an addition problem.

s+25=42

To solve you subtract 25 from both sides.

Step-by-step explanation:

1.
A and B are two overlapping subsets of a universal set U. Draw Venn-diagrams
and shade the regions that contain the element of the following set operations.
a) A UB
b) AB
c) A-B
d) B-A
e) A
f) B​

Answers

Answer:

Probably c

Step-by-step explanation:

Tbh

What is the value of y?
Z
Y
60 degrees
70 degrees
50 degrees

What is the value of y?Z Y60 degrees70 degrees50 degrees

Answers

Using proportions, the value of y is of 100º.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In a circle, the measure of an arc is twice the measure of it's equivalent internal angle. The internal angle is of 50º, hence the measure of the arc, given by y, is found as follows:

y = 2 x 50º = 100º.

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Of the 40 randomly chosen students surveyed, 27 are involved in extracurricular activities at school. There are 680 students at the school. Predict the number of students in the school who are involved in after-school activities. (Please answer the right answer and how you got the answer)

Answers

Answer:

It's around 459. So 460 if need to round

Step-by-step explanation:

So, 40 randomly chosen people do not represent  the whole school, but using the ratio 27:40 you are given in the equation, you can divide the number of students (680) by the surveyed students (40) to get 17. What this means is there is 17 groups of 40 in the school, so to distribute the amount of people who are in a after-school activity, you must multiply 17 x 27 to get the assumption of about 459 kids. Hopefully you understand =)

If the original price is $80 and u discount 20%, what’s the sale price?

Answers

$64 is the correct answer!

80 x 0.2 = 16

80 - 16 = 64

Answer:

64$

Step-by-step explanation:

How long is 75% of a 24-hour day?

Answers

Answer:

18 hrs

Step-by-step explanation:

6hrs is 25%, so 6 times 3 is 18, Hope This Helps!

75% of a 24-hour day is 18 hour.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

75% of a 24-hour day

let 75% of 24 hour day be x.

So, 75% of 24 = x

x= 75/100 x 24

x= 3/ 4 x 24

x= 18 hours

Hence, 75% of a 24-hour day is 18 hour.

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A line segment with one endpoint at (2,5) is divided in the ratio 4:3 by the point (10, 1). Which coordinates could represent the other endpoint?
(6.3)
(139)
(16,-2)
(18.-3)

Answers

Answer:

(16,-2)

Step-by-step explanation:

Can someone show me how I can do 2100 divide 35 pls without calculator

Answers

Answer:

Count by 35 until you get to 2100

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Note that 7 is a factor common to both 2100 and 35.  Dividing 2100 and 35 by 7, we get 300 and 5.  Then 300 divided by 5 is 60.  Voila!

Generically define the structure of the optimal solution to the Matrix Chain Multiplication problem. The optimal way to multiple n matrices A1 through An is:

Answers

The optimal solution to the Matrix Chain Multiplication problem involves determining the most efficient order of multiplying a sequence of matrices, resulting in the minimum number of scalar multiplications. This solution can be achieved using dynamic programming and involves constructing a table to store intermediate results. By carefully selecting the order of multiplication, the overall computational complexity can be significantly reduced.

The Matrix Chain Multiplication problem aims to find the most efficient way to multiply a sequence of matrices A1, A2, ..., An. The efficiency is measured by minimizing the total number of scalar multiplications required. To solve this problem optimally, dynamic programming is commonly used.

The optimal solution can be obtained by constructing a table, often referred to as a matrix chain order table. The table stores the optimal costs of multiplying various subchains of matrices. The table is initially filled with infinite values, and the diagonal elements are set to zero, as multiplying a single matrix incurs no additional cost.

By iteratively populating the table and considering different subchain lengths, the optimal cost of multiplying the entire chain of matrices can be determined. This involves evaluating the cost of splitting the chain at different positions and recursively solving subproblems. The optimal order of multiplication can be obtained by backtracking through the table.

The dynamic programming approach enables the elimination of redundant calculations, leading to significant computational savings. It reduces the time complexity from exponential to polynomial, typically O(n³), where n represents the number of matrices in the chain.

In conclusion, the optimal solution to the Matrix Chain Multiplication problem is achieved through dynamic programming, which involves constructing a table to store intermediate results. By carefully selecting the order of multiplication based on the values in the table, the number of scalar multiplications can be minimized, resulting in an efficient solution.

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PLEASE HELP ME IM BEING TIMED

PLEASE HELP ME IM BEING TIMED

Answers

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

What is the domain of a function?

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

v is the speedt is the time of motion

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Solve the system of equations below. You may want to use the method by substitution starting with the second equation.3x2y =345x+10y =10 Definition: This is the location where two or more bones make contact. This junction allows formovement and structural support.CAN SOMEONE PLZZ HELP REPORT CARDS ARE DUE TOMORROW line y=kx-5 is a tangent to the curve of f. Find the values of k. Research shows that when choosing a long-term relationship partner, men are likely to emphasize the importance of a/4 - 5/6 = -1/2URGENT!ACTUALLY DO THE MATH Get it right and ill make the first person the brainiest! According to the Declaration of Independence, which are examples of natural rights? maria is a freelance network consultant. she is setting up security for a small business client's wireless network. she is configuring a feature in the wireless access point (wap) that will allow only computers with certain wireless network cards to connect to the network. this feature filters out the network cards of any wireless computer not on the list. what is this called? P15.12 (LO 1, 2, 3, 4) (Analysis and Classification of Equity Transactions) Penn Company was formed on July 1, 2018. It was authorized to issue 300,000 shares of $10 par value common stock and 100,000 shares of 8% $25 par value, cumulative and nonparticipating preferred stock. Penn Company has a July 1-June 30 fiscal year.The following information relates to the stockholders' equity accounts of Penn Company.Common StockPrior to the 2020-2021 fiscal year, Penn Company had 110,000 shares of outstanding common stock issued as follows.1. 85,000 shares were issued for cash on July 1, 2018, at $31 per share.2. On July 24, 2018, 5,000 shares were exchanged for a plot of land which cost the seller $70,000 in 2012 and had a fair value (based on recent land sales) of $220,000 on July 24, 2018.3. 20,000 shares were issued on March 1, 2019, for $42 per share.During the 2020-2021 fiscal year, the following transactions regarding common stock took place.November 30, 2020Penn purchased 2,000 shares of its own stock on the open market at $39 per share. Penn uses the cost method for treasury stock.December 15, 2020Penn declared a 5% stock dividend for stockholders of record on January 15, 2021, to be issued on January 31, 2021. Penn was having a liquidity problem and could not afford a cash dividend at the time. Penn's common stock was selling at $52 per share on December 15, 2020.Penn sold 500 shares of its own common stock that it had purchased onNovember 30, 2020, for $21,000.June 20, 2021Preferred StockPenn issued 40,000 shares of preferred stock at $44 per share on July 1, 2019.Cash DividendsPenn has followed a schedule of declaring cash dividends in December and June, with payment being made to stockholders of record in the following month. The cash dividends which have been declared since inception of the company through June 30, 2021, are shown below.Declaration Date Common Stock Preferred Stock12/15/19 $0.30 per share $1.00 per share6/15/20 $0.30 per share $1.00 per share12/15/20 - $1.00 per shareNo cash dividends were declared during June 2021 due to the company's liquidity problems.Retained EarningsAs of June 30, 2020, Penn's retained earnings account had a balance of $690,000. For the fiscal year ending June 30, 2021, Penn reported net income of $40,000.InstructionsPrepare the stockholders' equity section of the balance sheet, including appropriate notes, for Penn Company as of June 30, 2021, as it should appear in its annual report to the shareholders. find the radius of convergence, r, of the series. [infinity] (1)n n2xn 7n n = 1 ENGLISH!! PLEASE HELP!! BEGGING YOU Researchers at a veterinary hospital are interested in investigating a link between enteroliths, stones that form in the colon of horses, and diet. They conduct a survey of feeding practices of horses admitted to the veterinary hospital. To obtain a sample, they obtain the list of all horses (N Budget are unnecessary are too restrictive. Explain why you agree or disagree? I need help asp !! 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