Solve the system of linear equations

Solve The System Of Linear Equations

Answers

Answer 1

Answer:

There are infinite answers. it is the same line

Answer 2

Answer:

Infinite solutions

Step-by-step explanation:


Related Questions

A die is rolled twice. What is the probability of getting either a multiple of 2 on the first roll or a total of 6 for both rolls

Answers

The correct answer is 7/12.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

Let A = Getting multiple of  on the first one

     B = A total of  for both roll

P (A U B) = P(A) + P(B) - P(A ∩ B)

               [tex]\frac{18}{36} + \frac{5}{36} - \frac{2}{36} \\\\ = \frac{21}{36} \\[/tex]

                [tex]\frac{7}{12}[/tex]

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Daphne is calculating the total asset turnover ratio of a company. Under which accounting principle would she value the assets of the company at their original cost? A. accrual method of accounting B. historical cost accounting C. business entity concept D. going concern concept

Answers

The  accounting principle she would use to value the assets of the company at their original cost is historical cost accounting.

What is historical cost accounting?

Historical cost accounting is an accounting method for recording the value of fixed assets under US GAAP where the value of an asset on a balance sheet is equal to the cost of acquiring the asset.

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What is the slope of the line shown below?
(-1,-4)
(2, 2)

Answers

Correct answer is B (2,2)

Answer:

2

Step-by-step explanation:

(-1,-4) (2,2)

To find the slope, use the equation y2-y1/x2-x1

2-(-4)/2-(-1) = 6/3

6/3=2

2 is the slope.

Multiple choice ( easy)

What is the length of Xpy in terms of

10 m

Options
900л m

15л m

5л m

307 m

Answers

Answer:

XPY = 15π m

Step-by-step explanation:

XPY is 3/4 of the circumference of the circle.  The perimeter of a circle is given by 2πr, with r = 10m.

C = 2πr

C = 2π(10)

C = 20π

3/4 of C is (3/4)(20π)

XPY = 15π m

Store A has sold 67 mugs and sells 11
mugs every week. Store B has sold 13
mugs and sells 17 mugs every week.
How many weeks (w) will it be before
Store B sells as many mugs (m) as
Store A?
m = 11w + 67
m = 17w + 13
[?] weeks

Answers

Answer:

9 weeks.

Step-by-step explanation:

m = 11w + 67

m = 17w + 13

So:

11w + 67 = 17w + 13

67 - 13 = 17w - 11w

54 = 6w

w = 9.

7. Jeff and Stephen go to the mall. The two
boys buy a total of 15 T-shirts. Stephen gets
three less than twice as many T-shirts as Jeff.
a) Write an equation to represent the
information in the second sentence.
b) Write an equation to represent the
information in the third sentence.
c) Solve the linear system by substitution
to find the number of T-shirts each boy
bought.
d) If the T-shirts cost $8.99 each, how
much did each boy spend before taxes?

Answers

Answer:

Let j = number of shirts Jeff bought and s = the number of shirts Stephen bought.

a.) s + j = 15

b.) 2j - 3 = s

c.) Plug 2j -3 into the equation from question a.

2j -3 + j = 15

3j -3 = 15

3j = 18

j = 6

2j - 3 = s when j = 6

2(6) - 3 = s

s = 9

Jeff bought 6 shirts; Stephen bought 9 shirts.

d.) Jeff cost = 8.99(6) = $53.94

Stephen cost = 8.99(9) = $80.91

Find the equation of a straight line passing through the points (2, -2) and (3, -4)

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

slope is found with (change in y/change in x), or in this case, (-4--2,3-2), which is -2

with the equation y = -2x + b, solve for b by plugging in the x and y values of one of the points

using (2, -2):

-2 = -2(2) +b

b = 2

so the equation is y = -2x + 2

There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students: What is the probability that more than 5 PASS their first statistics exam

Answers

The probability that more than 5 students will pass their exam is 0.0188416.

How to find the probability?

The probability that a student passes their examination = 40% = 0.4

The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam

The probability that 6 students pass their exam =

[tex]7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032[/tex]

The probability that 7 students pass their exam =

[tex]7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384[/tex]

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384

= 0.0188416

Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.

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Write the slope-intercept equation of the line that passes through the given points (1,-7),(5,-15)

Answers

Answer:

y=-2x+5

Step-by-step explanation:

The slope is

[tex] \frac{ - 15 - ( - 7)}{5 - 1} = \frac{ - 8}{4} = - 2[/tex]

Substituting into point-slope form,

y + 7 = -2(x-1)

y + 7 = -2x + 2

y = -2x + 5

A _______ group is another name for a command group

Answers

Answer:

department

Step-by-step explanation:

A "task force" group is another name for a command group.

We have,

A task force is a temporary grouping of individuals or units with a specific objective or mission.

It is typically formed to address a particular task or problem and is led by a designated commander or leader.

Task forces can be assembled from different departments or organizations to collaborate and work together towards a common goal.

Thus,

A "task force" group is another name for a command group.

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Point Y is the circumcenter of ΔDEF.

Point Y is the circumcenter of triangle D E F. Lines are drawn from the points of the triangles to point Y. Lines are drawn from point Y to the sides of the triangle to form right angles and line segments Y L, Y M, and Y N. The line segments cut the sides of the triangles into 2 equal parts. The length of F Y is 3 x + 7 and the length of Y E is 5 x minus 3.

Find FY.

5
11
17
22

Answers

The length of FY in the triangle that has Y as its circumcenter is: D. 22 units.

What is the Circumcenter of a Triangle?

The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides of a triangle intersect.

Based on the definition of the circumcenter, and Y is the circumcenter, therefore:

YE = FY

Plug in the values

5x - 3 = 3x + 7

5x - 3x = 3 + 7

2x = 10

x = 5

FY = 3x + 7 = 3(5) + 7

FY = 22 units.

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Answer:

D

Step-by-step explanation:

How many times larger is the volume of a cone if the radius is doubled?

Enter only a number as your answer.

Answers

Answer:

Here's my answer

it's not number but

hope this help

Rachel is getting a sundae where the cost is proportional to the weight of the sundae she makes. last time rachel went she bought a 12-ounce sundae for $4.20. this time she buys a 17-ounce sundae. let c be the cost of the sundae. set up and solve a proportion for c.

Answers

Using proportions, the cost of the 17-ounce sundae is of $5.95.

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.

Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:

$4.2/12 = $0.35.

Hence the cost of a 17-ounce sundae is:

$0.35 x 17 = $5.95.

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A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet.

Right trapezoid A B C D is shown. Angles A and D are right angles. Sides A B and D C are parallel. The length of A D is 60 feet and the length of B C is 65 feet.

If the measure of angle BCD is 67.4°, the measure of angle ABC is

°.

If the length of base AB is 80 feet, the length of DC is

feet.

Answers

Answer:

90 approximately because if AB is 80 then DC should be 90 because AB come before DC in letters

Answer:

112.6 degrees and 105 feet.

Step-by-step explanation:

took the assignment

Tiffany started a doggle daycare where she offered a variety of services, including grooming. She charges an hourly rate of
$9 and a fee for each service.
Fluffy's human paid $58 for her 3 hour stay. Complete the function for a visit of x hours which includes grooming.
Express the function in slope-intercept form.

Answers

The linear function in slope-intercept form for the cost of a visit of x hours is given as follows:

C(x) = 9x + 31.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the rate means that the slope is of m = 9. When x = 3, C(x) = 58, hence the y-intercept is found as follows:

C(x) = 9x + b

58 = 9(3) + b

b = 31.

Hence the equation is:
C(x) = 9x + 31.

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A university surveyed its students on their opinions of campus housing. the following two-way table displays data for the sample of 200200200 students who responded to the survey. how many students in this sample had a negative opinion of campus housing? students gender positive opinion negative opinion neutral opinion male 404040 363636 141414 female 424242 565656 1212

Answers

Of students in the sample, 90/200 fraction of the students were male.

What is a fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.

To find the fraction of male students:

Number of male students = 90

Number of female students = 110

So, total students = 90 + 110 = 200

Fraction of students who were male =  male students / total students

Fraction of students who were male = 90/200

So, 90/200 fraction of the students were male.

Therefore, 90/200 fraction of the students were male.

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The question you are looking for is given here:

A university surveyed its students on their opinions of campus housing. The following two-way table displays data for the sample of

200 students responded to the survey.

Sabrina finished 8/11 of her math assignment. if there are 22 problems in her assignment what fraction represents the number of problems completed over the total number of problems in the assignment ?

Answers

The fraction 16/22 represents the number of problems completed over the total number of problems in the assignment.

According to the question,

There are 22 problems in her assignment and Sabrina finished 8/11 of her math assignment.

In order to find the fraction represents the number of problems completed over the total number of problems in the assignment.

(8/11) * (2/2) = 16/22

Hence, the fraction 16/22 represents the number of problems completed over the total number of problems in the assignment.

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90 pointssss!Please help! On parts a, b, and c. Thank you!

Answers

It’s very simple there’s a couple steps you need to do. Learn the material study it and then remember it


HELP ASAP PLS

Select the correct answer from each drop-down menu.
Quadratic function f is shown on the graph.


Answers

I don't know what the options are in the drop-down menu but the function f is symmetric around the point (4,–1) which is called the axis of symmetry. (4,–1) is the minimum of the graph.

The following triangle is an isosceles triangle. What is the length of the missing side?

Answers

Considering that we have an isosceles triangle, the length of the missing side is of 11 inches.

What is an isosceles triangle?

An isosceles triangle is a triangle that has two congruent sides.

Researching this problem on the internet, the triangle has two sides of 4 in and 11 in, and one missing side. The missing side is opposite to the side of 4 in, with the same scale, hence the length of the missing side is of 11 inches.

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A company has made a rubber ball for $0.02 per square foot. the company wants to spend a maximum of $1 each on a new ball. what is the diameter of the new ball to the nearest tenth of a foot?

Answers

The diameter of a new ball is 4.0ft

According to the statement

we have given that the the company wants to spend a maximum of $1 each.

And we have to find a diameter of a new ball.

Remember that for a sphere of diameter D, the surface area is

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

here the diameter of a ball is 4.0ft.

So, The diameter of a new ball is 4.0ft

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i need help with this page

Answers

11. m ∠ BCE = 25 °

m ∠BAD = 39°

12. n = 11. 5°

13. The quadrilaterals are rectangle and parallelogram. Option A and C

14. HK = 8cm

How to determine the angles

11. From the figure shown, we have that;

m ∠ EBC = 27°

m ∠ ADE = 52°

To find

m ∠ BCE

Note that m ∠ ADE is alternate and equal to m∠ DEC = 52 and is also on a straight line with ∠BEC

52 +  ∠BEC = 180°

∠BEC = 180 - 52° = 128°

Remember that  ∠BEC,  ∠ BCE  and ∠ EBC are angles in a triangle which sum up to 180°

128° +  ∠ BCE + 27° = 180°

∠ BCE = 180 ° - 155°

∠ BCE = 25 °

To determine m ∠BAD

65° +  76 + m ∠BAD = 180° , sum of angles in a a triangle

m ∠BAD = 180 - 141

m ∠BAD = 39°

12. Value of n is gotten by equating the two lengths

( 10n + 19) = (12n - 4)

collect like terms

10n - 12n = -4 - 19

- 2n = -23

n = -23/-2

n = 11. 5°

13. The only quadrilaterals with congruent diagonals are;

rectangleparallelogram

14.  To find line HK

Substract the shortest line, IJ from the longest line GL

HK = GL - IJ

HK = 15 - 7

HK = 8cm

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A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 0.40 (20 minus 1)

Answers

The expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.

Given a taxi charges $2.50 for the first mile and $0.40 for each mile

We are required to make an expression showing total cost and total cost of a 20 mile ride.

let the miles ride by tax be x.

Total cost of the product or service=Number of units*price of one units.

We have been given that $2.50 is fixed so we will not multiply our variable charge with $2.50 and multiply 0.40 with x.

So,the expression showing looks like 2.50+0.40x.

Now to find the cost when taxi travels 20 miles, we have to put x=20,

Cost=2.50+0.40*20

=2.50+(40*20)/100

=2.50+800/100

=2.50+8

=$10.50

Hence the expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.

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Need help with number 3 inequalities with variables on both sides

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

[tex]\displaystyle{2x-3 \leq \dfrac{x}{2}}[/tex]

First, get rid of the denominator by multiplying both sides by 2:

[tex]\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}[/tex]

Add both sides by 6 then subtract both sides by x:

[tex]\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}[/tex]

Then divide both sides by 3:

[tex]\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}[/tex]

Therefore, the answer is x ≤ 2

Answer: [tex]x \leq 2[/tex]

Step-by-step explanation: Given [tex]2x - 3 \leq \frac{x}{2}[/tex], we multiply 2 by both sides to cancel out the 2 in the denominator (multiplying by a number in a fraction turns it into 1, and since the denominator is one, it is the same as saying the number [or variable] on the numerator by itself.)

We then get [tex]4x - 6 \leq x[/tex].

Adding 6 to both sides, we get [tex]4x \leq x + 6[/tex].

Subtracting x from both sides, we get [tex]3x \leq 6[/tex]

Dividing by 3 from both sides, we get [tex]x \leq 2[/tex]

Hope this helped!

Someone help me please

Answers

Answer:

50

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem to find the hypotenuse. a^2+b^2 = c^2

40^2+30^2 = c^2

1600+900 = c^2

2500 = c^2

50 = c

*100 Points*


1. Joey decides to spin the wheel 60 times. What is the expected outcome of spins? (How many times should it land on each space?)
2. Use your information from question 1 to determine whether or not this wheel is profitable for the person who owns the booth. Explain your reasoning in full sentences.
3. What could the booth owner do to make the wheel more profitable for himself? You may include a drawing of the more profitable wheel if you would like. Explain your reasoning in complete sentences
Please help me whoever answers all three I will mark brainlest

Answers

The expected outcome of spins based on the probability information is 60.

How to calculate the probability?

From the information, Joey decides to spin the wheel 60 times. Therefore, the expected outcome of spins is 60.

The thing that the booth owner can do to make the wheel more profitable for himself is to make winning probability less than that of losing.

Here, the booth owner do makes the wheel more profitable for himself as the winning is smaller.

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The roots of functions are approximately x =0 sec and x =9.8 sec the first root tell us that the height of arrow was 0 meters

Answers

The complete statements are:

The first root tells us that the height of the arrow was 0 meters above his bow after 0 seconds The second root says that it takes approximately 9.8 seconds for the arrow to return to the height of the bow. We can interpret our vertex to mean that at approximately  5 seconds at 120 meters

How to complete the blanks?

The complete question is added as an attachment

The roots are given as:

x = 0 second

and

x = 9.8 seconds

x = 0 implies that the height of the arrow was 0 meters above his bow after 0 seconds

x = 9.8 implies that  it takes approximately 9.8 seconds for the arrow to return to the height of the bow.

The x-value of the vertex is

x = (0 + 9.8)/2

Evaluate

x = 4.9

Approximate

x = 5

This means that the vertex is approximately 5 seconds

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18. A8 x 6 x 4 cm³ metallic cube is melted. Find the minimum volume of molten metal which should be added to
mould it into a cube whose edge is an integer.
(1) 20
(2) 21
(3) 23
(4) 24

Answers

The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].

How to estimate the minimum volume of molten metal?

Volume exists as a scalar quantity representing the amount of three-dimensional space encircled by a closed surface.

The minimum volume of a shape with measured dimensions exists provided by the lowest values of the dimensions when accounting for measurement error. Maximum Volume: The maximum volume of a shape with measured dimensions exists provided by the highest values of the measurements when accounting for measurement error.

The volume of the cube [tex]= 8*6*4[/tex]

[tex]= 192 cm^3[/tex]

To create the X as the sides of the cube we should add material.

The nearest cube number to 192 exists at 216

The amount of material to be added exists

= 216 -192

[tex]= 24 cm^3[/tex]

The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].

Therefore, the correct answer is an option (4) 24.

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If the measure of angle ø is 3pie/4, which statements are true?
The measure of the reference angle is 45°.
cos (0) = √2
sin (0) = √2
The measure of the reference angle is 60°.
The measure of the reference angle is 30°.
tan (0) = 1

Answers

Find 3π/4 in degrees

(3(180))/43(45)135°

Referance angle

π-3π/4180-13545° or π/4

Option A

TanØ=sinØ/cosØ=√2/√2=1

Answer:

The measure of the reference angle is 45°.

[tex]\sin(\theta)=\dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

Reference Angle:  The smallest possible angle made by the terminal side of the given angle and the x-axis. The reference angle is always between 0° and 90° (0 and π/2 radians).

To convert radians to degrees, multiply by 180/π:

[tex]\implies \sf \theta=\dfrac{3\pi}{4} \cdot \dfrac{180}{\pi}=135^{\circ}[/tex]

Positive angles are drawn in a counterclockwise direction from the x-axis.

(See attached for diagram of the angle θ and its reference angle).

Angles on a straight line sum to 180°.

Therefore, to calculate the reference angle, subtract the measure of the angle from 180°:

[tex]\implies \sf Reference\:angle=180^{\circ}-135^{\circ}=45^{\circ}[/tex]

The angle 135° lies between 90° and 180° and so is in Quadrant II.

Therefore, the exact trigonometric ratios for 135° are:

[tex]\sin 135^{\circ}=\dfrac{1}{\sqrt{2}} \textsf{ or }\dfrac{\sqrt{2}}{2}\\\\ \textsf{(Since sine function is positive in the Quadrant II)}[/tex]

[tex]\cos 135^{\circ}=-\dfrac{1}{\sqrt{2}} \textsf{ or }-\dfrac{\sqrt{2}}{2}\\\\\textsf{(Since cosine function is negative in the Quadrant II)}[/tex]

[tex]\tan135^{\circ}=-1\\\\\textsf{(Since tangent function is negative in the Quadrant II)}[/tex]

Therefore, the true statements are:

  The measure of the reference angle is 45°.

  [tex]\sin(\theta)=\dfrac{\sqrt{2}}{2}[/tex]

What is the nth term of the sequence below?

2, 6, 12, 20, . . .

A. [tex]n {}^{2} \: + \: 1[/tex]

B. [tex]3n[/tex]

C. [tex]n(n \: + \: 1)[/tex]

D. [tex] {n}^{2} \: - \: 1[/tex]

Answers

Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

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Grams of water must be heated from 22. 0C to 100. 0 C to make a cup of teahow much heat must be added? when a patient is admitted to the acute care floor with methicillin-resistant s. aureus,which medication would be ordered for this client? In order to persuade the "logical" individuals in the room, what should you be sure to include in your presentation about improving care for patients with diabetes?a) Average blood pressure and cholesterol levels (quality of care measures) of the clinic's patients with diabetesb) A photograph of a patient who suffered unnecessarily from poorly controlled diabetesc) A list of the providers in the clinic with the worst patient satisfaction measuresd) A reminder of the Board of Trustees' stated goal of improving chronic disease care Your camera'$ zoom lens has an adjustable focal length ranging from 55 t0 150 mm. Part (a) What is the maximum power of the lens_ Pmax' in diopters? ______: Government agency tasked with helping former slaves and poor whites through social welfare programs in areas of education, healthcare and jobs and provided essentials such as food and clothing. let u = 1 3 and v = 6 4 and let u, v = 2u1v1 3u2v2 be an inner product. compute the following. he Federal Reserve Bank has the following items on its balance sheet (in billion $): Currency in circulation: 2,220 Mortgage-backed securities: 2,720 Foreign exchange reserves: 41 Bank reserves: 4,598 Gold: 11 Other liabilities: 1,542 Government securities: 5,762 What is the Reserves's net worth (or equity)? The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop.242529303131323434Which box plot correctly summarizes the data?Choose 1 answer: limited liability can best be defined as the legal provision that question content area bottom part 1 a. shields owners of a corporation from losing more than what they invested in a firm. b. reduces the exposure of sole proprietorships to law suits. c. protects bond holders from being sued by other creditors. d. gives holders of preferred stock priority over holders of common stock. if you need to access the last element of a linked list with n nodes in it, how many comparisons do you need to make to find the last element? (4,2)I5(x, y)Given that the circle to the left has a center atpoint (4,2), and point (x, y) is on thecircle,write the equation for the distance (x, y)is away from the center. Rearrange thisequation so it contains no radicals. how can an acquisition create value for the combined entity shareholders but not for the acquirers shareholders? How would you show that RC has units of seconds if R is measured in ohms and C is measured in farads Select the correct text in the passage. Select the appropriate characteristics of the executive information system in the four-level pyramid model. Characteristics of Executive Information Systems Most organizations use different types of information systems to manage their operations. The executive information system is a knowledge-based interactive system. This type of system helps managers analyze the environment in which the organization operates, identify long-term trends, and plan appropriate courses of action. The processing stage includes summarizing, simulating, and drilling down. Information comes from internal management information systems or transaction processing systems. These systems revolve around internal information flow and the final output is in the form of summary reports, graphs, or plots. On January 1 2019, a company reported assets of $1500000 and liabilities of $700000. During 2019, assets decreased by $100,000 and stockholders equity decreased $200,000. What is the amount of liabilities at December 31 2019? Enter your answer to the nearest whole number