Pls pls help whoever gets it right gets a crown

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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Answer:

Step-by-step explanation:

To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.

1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.

2). Join the point of intersection of these arcs to A and B with the help of a straightedge.

3). Hence an equilateral triangle (with all equal sides) is constructed.

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

(negative infinity, infinity)

Step-by-step explanation:

There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer:

Quotient = x² + x + 3

Reminder = 10

Step-by-step explanation:

We need to divide , x³ - 4x² - 2x - 5 by x - 5

x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3

- x³ -(+)5 x²

_______________

0 + x² - 2x - 5

x² -5x

__________________

0 +3x - 5

+3x -15

__________________

+10

Answer:

40 oranges.

Step-by-step explanation:

We have the following information:

John bought "x" oranges for $ 20  plus each orange for John costs 20 / x.

After  Jenny bought x + 10 oranges for mimes $ 20  and also each orange for Jenny costs 20 / (x + 10) . They tell us that the difference in price was 10 cents, that is to say 0.10 dollars, we would have the following:

20 / x - 20 / (x + 10) = 0.10

solving:

20x + 200 - 20 * x = 0.10 (x² + 10 * x)

x² + 10 * x-2000 = 0

we factor

(x + 50) (x-40) = 0

x + 50 = 0 => x = -50, this answer cannot be

x - 40 = 0 => x = 40, it is a viable answer so John bought a total of 40 oranges.

\(\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right\)

Step-by-step explanation:

1.

a) find the midpoint G of the side DE:

\(x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1\)

\(\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5\)

\(\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)\)

b) find the midpoint I of the side DF:

\(x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4\)

\(\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2\)

\(\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)\)

c) the slope of GI:

\(x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3\)

\(\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}\)

2.

Type of Δ DEF:

a) find the length of the side DE:

\(|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units\)

b) find the length of the side EF:

\(|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units\)

Hence, DE=EF

c)  find the m∠DEF:

\(\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\\)

Find the coordinates of the vector by the coordinates of its beginning and end points:

\(\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0\)

Ingrid needs to deposit approximately $558.95 at the end of each quarter to have enough money to buy the $17,000 car in 6 years.

To calculate the amount Ingrid needs to deposit at the end of each quarter, we can use the future value of an annuity formula. The future value (FV) of an annuity is given by the formula:

FV = P * ((1 + r/n)(n*t) - 1) / (r/n)

Where:

P is the periodic deposit

r is the annual interest rate (as a decimal)

n is the number of compounding periods per year

t is the number of years

In this case, Ingrid wants to accumulate $17,000 in 6 years, with a quarterly compounding rate of 5.5% (0.055) and 4 compounding periods per year. Plugging these values into the formula:

17,000 = P * ((1 + 0.055/4)²⁴ - 1) / (0.055/4)

By solving this equation, we find that Ingrid needs to deposit approximately $558.95 at the end of each quarter to accumulate enough money to pay for her car.

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So there are 23 states that border just a major body of water and 7 states that border just a foreign country.

A Venn diagram consists of one or more circles or ovals, each representing a set of objects or concepts. The circles can overlap, indicating that some objects or concepts belong to more than one set. The non-overlapping parts of the circles represent the objects or concepts that belong to only one set.

Let's first calculate the number of states that border either a major body of water, a foreign country, or both:

Number of states that border a major body of water = 30

Number of states that border a foreign country = 14

Number of states that border both a major body of water and a foreign country = 7

To find the total number of states that border either a major body of water, a foreign country, or both, we can add these three numbers:

30 + 14 + 7 = 51

However, since there are only 50 states in the US, this means that one of these numbers must be incorrect. The only possibility is that the number of states that border both a major body of water and a foreign country is included in both the number of states that border a major body of water and the number of states that border a foreign country. Therefore, we need to subtract the number of states that border both from each of the other two numbers:

Number of states that border a major body of water only = 30 - 7 = 23

Number of states that border a foreign country only = 14 - 7 = 7

So there are 23 states that border just a major body of water and 7 states that border just a foreign country.

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Answer:

Hello!

Number 2 and 4 is wrong, other than that everything else is all good.

\(2)\)  \(6x^4 - 12x^5 + 90x^1^{3}\)

The Greatest common factor is 6x^4.

The GCF needs to have the smallest exponent from the variables.

The correct answer should be 6x^4 ( 1 - 2x + 15x^9)

\(4)\)  \(x^2 - 36\)

x (x - 36) is wrong because if we use the distributive property, the answer would be x^2 - 36x. Notice that there shouldn't be a variable multiplying 36.

The correct answer would be (x - 6)(x + 6)

x^2 + 6x - 6x - 36

x^2 - 36.

Hope this helps!

Answer:

51 degrees

Step-by-step explanation:

18+33=51

Amount of money in the savings account after 5 years.

To calculate the amount of money in a savings account after a certain number of years with annual interest compounded monthly, you can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the final amount
P = the principal (initial amount)
r = annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = number of years

Let's assume the principal amount is $1,000, the annual interest rate is 5%, and the interest is compounded monthly (n = 12).

Using the formula, we have:
A = 1000(1 + 0.05/12)^(12t)

Now, let's say we want to calculate the amount after 5 years.

A = 1000(1 + 0.05/12)^(12*5)

Calculating this expression will give you the approximate amount of money in the savings account after 5 years.

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Answer:

4 years

Step-by-step explanation:

Answer:

7 years without either of them, 13 years without your father.

Step-by-step explanation:

I'm so sorry for your loss

The provided figure is a trapezoid and for trapezoids the figure has to be rotated \(360^{o}\) to get the rotational symmetry. The answer is the figure has no rotational symmetry.

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.

The rotational symmetry of a shape explains why an object's shape remains unchanged when it is rotated about its own axis. If a geometric shape is rotated 180 degrees or at certain angles, either clockwise or counterclockwise, many of them seem to be symmetrical.

The figure is a trapezoid.

It should be rotated fully \(360^{o}\) to attain rotational symmetry.

So, The figure has no rotational symmetry.

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The provided figure is a trapezoid and for trapezoids the figure has to be rotated  to get the rotational symmetry. The answer is the figure has no rotational symmetry.

What do you mean by geometry?

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.

What do you mean by rotational symmetry?

The rotational symmetry of a shape explains why an object's shape remains unchanged when it is rotated about its own axis. If a geometric shape is rotated 180 degrees or at certain angles, either clockwise or counterclockwise, many of them seem to be symmetrical.

The figure is a trapezoid.

It should be rotated fully  to attain rotational symmetry.

So, The figure has no rotational symmetry.

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Answer:

The perimeter of the large rectangle is 75 feet.

Step-by-step explanation:

We know that the perimeter is the sum of all side lengths. It scales just as the sides themselves.

Given that the two perimeters scale as 2:3.

This means if the perimeter of the small rectangle is 50 feet, the perimeter of the large rectangle.

(3/2) × 50 = 3 × 50=75 feet.

Thus, the perimeter of the large rectangle is 75 feet.

By walking 25 blocks in the east direction, Irfan will essentially retrace his steps, moving back towards his apartment building and ultimately reaching it.

In this problem, we are given the following information:

Irfan walked 20 blocks west.

Irfan walked an additional 5 blocks west.

To determine what Irfan must do to return to his apartment building, let's analyze the given information.

Irfan initially walked 20 blocks in the west direction, which means he moved away from his apartment building in the westward direction. Then, he walked an additional 5 blocks west, which implies he moved even farther away from his apartment building.

To return to his apartment building, Irfan needs to reverse the direction and head eastward. Therefore, to complete the statement, we would select the option "He must walk 25 blocks east."

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Answer:

adam ran farther

Step-by-step explanation:

because 1 +2 is 3 and 3+1=4

Answer:

Adam.

Step-by-step explanation:

Alex -- 1.75 + 2.25 = 4

Adam -- 0.875 + 3.625 = 4.5

1  3/4 = 1.75

2  1/4 = 2.25

7/8 = 0.875

3  5/8 = 3.625

The orthogonal complement to S has dimension 0 when the dimension of the vector space is equal to the dimension of S.

We have,

The orthogonal complement to a subspace S of a vector space is the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in S.

The dimension of the orthogonal complement is given by the difference between the dimension of the vector space and The dimension of S.

If S spans the entire vector space, then its orthogonal complement consists only of the zero vector and therefore has dimension 0.

Thus,

The orthogonal complement to S has dimension 0 when the dimension of the vector space is equal to the dimension of S.

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When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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Answer:

The ordered pair (5, 35) in this context indicates that 5 boxed lunches were ordered and the total cost of those lunches was $35.

In the given graph, the x-coordinate represents the number of boxed lunches ordered (in this case, 5), and the y-coordinate represents the total cost of the lunches (in this case, $35). The point (5, 35) indicates the specific combination of the number of boxed lunches and the corresponding total cost on the graph.

Answer: it would be D.

Step-by-step explanation: you'd multiply the 3 by the 3x then multiply the 3 with the 8.

so after solving, Hence, after 11 minutes, there are 619 litres of water in equation the pond overall.

A assertion that charged objects are equal is known as an equation. Normally, two expressions are connected by the equality symbol (=). A mathematical tool for representing relationships between a number of variables or quantities is an equation. By identifying particular asset(s) of the indeterminate factors that make the equation true, equation may be utilized to solve issues. Many aspects of daily life as well as numerous fields of science, engineering, maths, or other disciplines use equations.

This question is similar to the pipe and cistern problem. The amount of water in the pond (W) after T minutes can be represented by the following equation:

W = 29T + 300

where 29T represents the amount of water added in T minutes and 300 represents the initial amount of water in the pond.

We may simplify the equation by adding T = 11 and finding the total volume of water in the pond after 11 minutes:

W = 29(11) + 300

W = 319 + 300

W = 619

Hence, after 11 minutes, there are 619 litres of water in the pond overall.

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The total amount of water in the pond after 11 minutes of adding water at a rate of 29 liters per minute is 619 liters.

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b.

The equation that relates W (total amount of water in the pond) to T (time in minutes) is:

W = 29T + 300

where 29T represents the amount of water added in T minutes (at a rate of 29 liters per minute) and 300 represents the initial amount of water in the pond.

To find the total amount of water after 11 minutes, we substitute T = 11 into the equation:

W = 29(11) + 300

W = 319 + 300

W = 619

Therefore, the total amount of water in the pond after 11 minutes of adding water at a rate of 29 liters per minute is 619 liters.

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Answer: 13/4

Step-by-step explanation:

\(4(x+5)=6(2x-1)\\\\4x+20=12x-6\\\\20=8x-6\\\\8x=26\\\\x=\frac{26}{8}\\\\x=\frac{13}{4}\)

Answer:

x = 13/4

Step-by-step explanation:

use distribution property:

4x+20 = 12x-6

8x = 26

x = 26/8

so , x = 13/4

Therefore, the ground state (n = 1) comes closest to satisfying the uncertainty principle, as it achieves the smallest possible values for Ox and Op in the infinite square well.

To calculate the values and check the uncertainty principle for the nth stationary state of the infinite square well, we need to consider the following:

(x): The position of the particle in the nth stationary state is given by the equation x = (n * L) / 2, where L is the length of the well.

(x^2): The expectation value of x squared, (x^2), can be calculated by taking the average of x^2 over the probability density function for the nth stationary state. In the infinite square well, (x^2) for the nth state is given by ((n^2 * L^2) / 12).

(p): The momentum of the particle in the nth stationary state is given by the equation p = (n * h) / (2 * L), where h is the Planck's constant.

(p^2): The expectation value of p squared, (p^2), can be calculated by taking the average of p^2 over the probability density function for the nth stationary state. In the infinite square well, (p^2) for the nth state is given by ((n^2 * h^2) / (4 * L^2)).

Ox: The uncertainty in position, Ox, can be calculated as the square root of ((x^2) - (x)^2) for the nth state.

Op: The uncertainty in momentum, Op, can be calculated as the square root of ((p^2) - (p)^2) for the nth state.

Now, let's analyze the uncertainty principle by comparing Ox and Op for different values of n. As n increases, the uncertainty in position (Ox) decreases, while the uncertainty in momentum (Op) increases. This means that the more precisely we know the position of the particle, the less precisely we can know its momentum, and vice versa.

The state that comes closest to the uncertainty limit is the ground state (n = 1). In this state, Ox and Op are minimized, reaching their minimum values. As we move to higher energy states (n > 1), the uncertainties in position and momentum increase, violating the uncertainty principle to a greater extent.

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The arithmetic average return is probably too high for longer periods and the geometric average is probably too low for shorter periods.

When we look at historical returns, the difference between the geometric and arithmetic average returns isn't too hard to understand.

To put it slightly differently, the geometric average tells you what you actually earned per year on average, compounded annually. The arithmetic average tells you what you earned in a typical year. You should use whichever one answers the question you want answered. A somewhat trickier question concerns forecasting the future, and there's a lot of confusion about this point among analysts and financial planners.

Now, If we have estimates of both the arithmetic and geometric average returns, then the arithmetic average is probably too high for longer periods and the geometric average is probably too low for shorter periods.

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Answer:

6.3 x 10= 63

6.3 x 10= 630

6.32 x 10= 63.2

6.32 x 100= 632

Step-by-step explanation:

Move the decimal to the right however many zeros there are in the whole number