Andrew spent $45.45 on two shirts that were the same price and a pair of pants. If the pants were $16.99, how much was each shirt?

As a result, the quadrilateral's perimeter is 6s, where s is one of its lesser sides' lengths.

The entire distance encircling the perimeter of a two-dimensional shape is known as the perimeter. The lengths of all the shape's edges are added up to determine it. The formula P = 2l + 2w, where P seems to be the perimeter, l is the length, and w seems to be the width of the rectangle, can be used to determine the perimeter of a rectangle, for instance, which is the sum of the distances of all four edges.

given

The perimeter can be expressed as follows if the quadrilateral's corners are designated as A, B, C, and D, where A and D are the ends of the longer sides (because a = 2b):

perimeter: DA, AB, BC, CD, and DA

Because an Equals 2b, AB = CD = 2s.

Because x = y, BC = DA = s.

With these numbers entered into the perimeter formula, we obtain:

circumference is equal to AB + BC + CD + DA = 2 + 2 + 2 + s = 6

As a result, the quadrilateral's perimeter is 6s, where s is one of its lesser sides' lengths.

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Answer:

6.24

you look at the number behind the hundredth place which is 1

Answer:

2√2

Step-by-step explanation:

r(t) = (2t, t²)

v(t) = dr/dt

v(t) = (2, 2t)

v(1) = (2, 2)

|v(1)| = √(2² + 2²)

|v(1)| = 2√2

Answer:

Step-by-step explanation:

Trace a linha de 8cm, daí você vai dividir ela no meio, ou seja, no 4. Aí é só contar 2 cm para cada lado, que vai ser o 1, as pontas vão ser o 2. Tendeu? Daí é só marcar os pontos no -3/7(~-2,3), 1,6, 7/5(1,4), -1 e 0

Answer:

D. 60

Step-by-step explanation:

Height = constant / width

30 = c / 2

2* 30 = 60

c = 60

12 = c / 5

12 * 5 = 60

c = 60

10 = c / 6

10 * 6 = 60

c = 60

Answer:

3x + 5

Step-by-step explanation:

Step 1: Write expression

5x + 11 - (2x + 6)

Step 2: Simplify

Answer: x = 18

Step-by-step explanation:

1) 100% - 54.5% = 45.5%.

2) 45.5/100 = 0.455.

3) 0.455 * X = 8.19g.

4) x = 8.19/0.455.

5) x = 18.

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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#28

The given expression is

At first, we will simplify each square bracket

Note that, the + sign does not change the terms in the bracket but the - sign change the signs of the terms inside the bracket

Now, we will multiply the 2 brackets

Now we will add the like terms

The measurement that could be a surface area measure is D. 27.9 mm². The unit "mm²" represents square millimeters, which is a measurement of surface area.

A surface area is the measurement of the outside area of an object or shape.

A surface area usually measures the surfaces of an object like the sides, top, and bottom.  

It is measured in square units like square inches or square meters.

It is an important concept that is used in different areas like geometry (like a cone, cylinder, rectangular prism, etc.), physics, and engineering.

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a) z ⊂ r - True

b) z ⊆ r - True

c) z ⊆ r - True

d) n ⊂ r - True

e) z ⊂ n - False

What is the subset?

A subset is a set of elements that are contained within another set. The elements of the subset are referred to as its members or elements, and the set that contains the subset is called the superset.

In mathematical notation, if A is a subset of B, it is written as A ⊆ B. If A is not a subset of B, it is written as A ⊈ B.

Given the definitions:

z = {...-3,-2,-1,0,1,2,3,...} - The set of all integers.

n = {1,2,3,4, ...} - The set of all positive integers.

r = set of real numbers - The set of all real numbers (positive, negative, and zero).

(a) z ⊂ r - True. The set of integers is a subset of the set of real numbers.

(b) z ⊆ r - True. The set of integers is a subset of the set of real numbers.

(c) z ⊆ r - True. This is the same statement as in (b).

(d) n ⊂ r - True. The set of positive integers is a proper subset of the set of real numbers.

(e) z ⊂ n - False. The set of integers is not a subset of the set of positive integers.

Hence,

a) z ⊂ r - True

b) z ⊆ r - True

c) z ⊆ r - True

d) n ⊂ r - True

e) z ⊂ n - False

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The probability for a data point is less than is 0.8413.

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

The mean(μ)=4

Standard deviation(σ)=1

(P<5)

From the figure, standard normal distribution curve probability which we have to find P<5

It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

P(x=4)=x-μ/σ

=4-4/1=0

P(x=4)=50%

P(x<5)=P(x=4)+P(x=1)

=50%+34.13%

=0.8413

P(x<5)=0.8413

Therefore, the probability a data point is less than 5 is 0.8413.

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Sophie plotted the point in the coordinate plane: (1, 1), (–5, 1), (–3, 5),      (–1, 5) so, when the vertices are connected the shape formed is a rectangle.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral.

Thus, when Sophie plotted the point in the coordinate plane: (1, 1), (–5, 1),  (–3, 5), (–1, 5), the vertices connected form the shape of a rectangle.

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The growth rate between 2015 and 2016 of this random variable was 2%.

Given that the data collection is {100, 102, 104, 106, 105, 108}.

First element 100 is the value of some random variable in year 2015.102 is the value of the random variable in year 2016.Now the growth rate between 2015 and 2016 of this random variable was (in %) .

Growth rate= (final value - initial value)/initial value×100Given initial value=100, final value=102Growth rate= (102-100)/100 × 100=2%

Therefore, the growth rate between 2015 and 2016 of this random variable was 2%.

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The evaluation of the trendline in line graph of the trendline displaying the value of a 2000 Toyota Camry since the year 2000 are as follows;

a. Independent variable; Time

Dependent variable; Value

b. The equation is; V = 22,500 - 1,166.\(\overline 6\)·t

c. The y-intercept is at the point (0, 22,500), which indicates that the value of the 2000 Toyota Camry in the year 2,000 is $22,500

d. The slope of the trendline is -1,166.\(\overline {6}\), which indicates that the annual reduction in the price of the 2000 Toyota Camry is $1,166.\(\overline 6\)

e. The value of the car in 2017 based on the trendline is $2,666.\(\overline{6}\)

A trendline is a line drawn through a scatterplot, minimizing the distances between the points in the chart and the line itself, and shows the trend of the scatterplot.

a. The independent variable is the variable that is the input variable of the function, which the researcher can vary or the value that is controlled.

Therefor;

The dependent variable is the value under study, therefore;

b. The points on the line graph are; (0, 22,500), and (15, 5,000), the slope is therefore;

m = (5,000 - 22,500)/(15 - 0) = -3,500/3

The equation is therefore;

V - 22,500 = -3,500/3·t

V = -3,500/3·t + 22,500

c. The y-intercept of the trend line is (0, 22,500), which indicates that in the year 2,000, the price of the 2,000 Toyota Camry was $22,500

d. The slope of the trend line is -3,500/3 = -1,166.\(\overline 6\), which indicates that the value of the Toyota Camry, 2000, reduces at a rate of $1,166.\(\overline 6\), each year.

e. In the year 2017, t = 17, therefore;

V = 22,500 - (3,500/3) × 17 = 2,666.\(\overline {6}\)

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Answer:

The answer would be -30°F

The value of x in the perpendicular line is 30 degrees.

In the diagram m is parallel to n and m is perpendicular to line P. Therefore, perpendicular lines forms a right angle.

Therefore, let's find the angle x in the perpendicular line.

Hence,

3x = 90

divide both sides by 3

3x / 3 = 90 / 3

x = 30

Therefore, the value of x is 30 degrees.

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Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

Answer:75

Step-by-step explanation:

since there are 15 students and they each need 5 plates you just do 15x5 and get 75

Answer:

5 hours and 45 mins

Step-by-step explanation:

It takes:

24:00-22:15=1 hour 45 mins and 4 hours in the next day

In total 5 hours and 45 mins

Answer:

-0.8, 7/9, √3

Step-by-step explanation:

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

Answer:

x = 3  x = 5

Step-by-step explanation:

The legal context and definitions are (a) Negligence - Establishes the link between the defendant's actions and the plaintiff's harm. (b) Negligence defenses - Plaintiff voluntarily accepts known risks, relieving the defendant of liability. (c) Invasion of privacy - Unjustified intrusion into private affairs that would offend a reasonable person. (d) Negligence - Accident itself suggests defendant's negligence without direct evidence (e) Defamation - False spoken statements harming someone's reputation (f) Monetary awards to punish and deter egregious behavior. (g) Defamation defenses - Immunity for certain statements made in specific contexts.

(a) Cause-in-fact

Legal context: Negligence.

Definition: Cause-in-fact refers to the actual cause or link between the defendant's conduct and the plaintiff's harm, establishing that the harm would not have occurred without the defendant's actions.

(b) Assumption of risk

Legal context: Negligence defenses.

Definition: Assumption of risk is a defense in negligence cases where the plaintiff voluntarily and knowingly accepts the risks associated with a certain activity, relieving the defendant of liability for any resulting harm.

(c) Seclusion

Legal context: Invasion of privacy.

Definition: Seclusion refers to the intentional and unjustified intrusion into an individual's private affairs or seclusion, which would highly offend a reasonable person.

(d) Res ipsa loquitur

Legal context: Negligence.

Definition: Res ipsa loquitur is a doctrine where the occurrence of an accident or injury itself suggests that the defendant was negligent, allowing the plaintiff to establish a prima facie case without direct evidence of negligence.

(e) Slander

Legal context: Defamation.

Definition: Slander is a form of defamation that involves making false spoken statements about someone that harm their reputation.

(f) Punitive damages

Legal context: Various tort subject areas.

Definition: Punitive damages are monetary awards beyond compensatory damages, awarded in certain cases to punish the defendant for particularly egregious behavior and to deter others from similar conduct.

(g) Absolute privilege

Legal context: Defamation defenses.

Definition: Absolute privilege is a defense in defamation cases that grants immunity from liability for statements made in certain contexts, such as during legislative or judicial proceedings, regardless of their truth or intent.

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--The given question is incomplete, the complete question is given below " For each term (1) identify the legal context in which it arises; and (2) define the term.

For the legal context part of your answer for each term, indicate which tort subject area the term relates to (e.g., "fraud," “false imprisonment,” “defamation,” “defamation defenses,” “invasion of privacy,” “interference with contract,” “interference with prospective economic advantage,” “negligence,” “negligence defenses,” “strict liability,” or, if and where appropriate, “intentional torts” generally).

In addition, the definition portions of your answers need not be more than one sentence for each term. Your answer for each term is worth a maximum of 2 points.

(a) cause-in-fact

(b) assumption of risk

(c) seclusion

(d) res ipsa loquitur

(e) slander

(f) punitive damages

(g) absolute privilege"--

Answer:

y = 9x + 78

Step-by-step explanation:

The problem says to write the equation in terms of y, so the number of lirns will be the y-axis, and the number of weeks will be the x-axis.

Given this, we know two points will be (6, 132) and (10, 168). This is all we need to plot a line!

We need to write it as y = mx + b, where m is the slope and b is the y-intercept. Let's start with the slope. This is rise over run, so we have \((168-132)/(10-6)\), which is 9. Now we need to find the y-intercept.

We have found the slope, so we can plug that into m, to get y=9x+b. We can plug in a point for x and y, let's choose (6, 132). This gives us

\(132 = 54 + b\), so b = 78. Now we have solved for m and b! This gives us y = 9x + 78.

Answer:

\(x^{13}\)

Step-by-step explanation:

Answer:

No Solution

Step by step explanation:

Multiply both sides of the equation by a coefficient:

\(\left \{ {{8x-2y=1} \atop {2(-4x+y)=3*2}} \right.\)

Apply Multiplicative Distribute Law:

\(\left \{ {{8x-2y=1} \atop {-8x+2y=3*2}} \right.\)

Calculate the Product

\(\left \{ {{8x-2y=1} \atop {-8x+2y=6}} \right.\)

Add up the two equations:

\(8x-2y+(-8x+2y)=1+6\)

Remove parentheses:

\(8x-2y-8x+2y=1+6\)

Cancel the unknown variables:

\(0=1+6\)

Calculate the Sum:

\(0=7\)

Answer = No Solution

[RevyBreeze]

Answer:

A≈1256.64

Step-by-step explanation:

A=3.14r^2

r=radius=20

A≈1256.64

In the given problem, we are dealing with a Markov chain representing weather patterns in a city.

We are asked to find the eigenspace corresponding to each eigenvalue, find the steady-state vector for the Markov chain, and explain why λ = 1 is an eigenvalue of any stochastic matrix.

Explanation:

(E) To find the eigenspace corresponding to each eigenvalue, we need to solve the equation (A - λI)x = 0, where A is the stochastic matrix representing the weather patterns, λ is an eigenvalue, and x is the corresponding eigenvector. By solving this equation for each eigenvalue, we can find the eigenspace, which is the set of all eigenvectors corresponding to that eigenvalue.

(F) The steady-state vector for a Markov chain represents the long-term probabilities of being in each state. It can be found by solving the equation πA = π, where A is the stochastic matrix and π is the steady-state vector. This equation represents the balance between the current state probabilities and the transition probabilities. By solving this equation, we can find the steady-state vector.

(G) The eigenvalue λ = 1 is an eigenvalue of any stochastic matrix because the sum of the entries in each column of a stochastic matrix is equal to 1. When we multiply a stochastic matrix by its eigenvector corresponding to λ = 1, each entry in the resulting vector represents the probability of being in a particular state. Since the sum of the probabilities must be 1, λ = 1 is an eigenvalue of any stochastic matrix.

Overall, by finding the eigenspace for each eigenvalue, we can understand the behavior and stability of the weather patterns in the city. The steady-state vector gives us insights into the long-term probabilities, and the property of λ = 1 as an eigenvalue of any stochastic matrix helps us understand the fundamental characteristics of Markov chains.

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