How many edges are there in the complete graph, Kn? • N(N+1)/2 • N(N-1)/2 (N2+1)/2 • (N2-1)/2

Answers

Answer 1

The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.

Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

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Related Questions

What effect will 4 have on the graph of y = sin(x)?

Answers

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
x-value.
y-value.
constant of proportionality.
unit rate.

Answers

Answer:

x-value

Step-by-step explanation:

I got it right on the test :)

First number in an ordered pair of numbers that corresponds to a point on a coordinate system is the x-value.

What is coordinate system?

Coordinate system is used to locate the position of any point and that point can be plotted as an ordered pair (x, y) known as Coordinates. The horizontal number line is called X-axis and the vertical number line is called Y-axis and the point of intersection of these two axes is known as the origin and it is denoted as ‘O’.

According to the question

In coordinate system, point is (x, y)

x ⇒ x-value

y ⇒ y-value

So, the first number in an ordered pair is the x-value.

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Write your answer in scientific notation.
(6.4 x 10^3 ) + (5.2 x 10^4 )

Answers

Answer:

5.84 x10.^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

the question is in the picture! i need help ASAP!

the question is in the picture! i need help ASAP!

Answers

Answer:

The answer I think is

No points of intersection

Step-by-step explanation:

the question is in the picture! i need help ASAP!

An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What is the approximate perimeter of the
front of the garage?
-8
-6 -4 -2
A. about 36 ft
B. about 21 ft
C. about 10 ft
D. about 77 ft

An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What

Answers

Using it's concept, it is found that the approximate perimeter of the front of the garage is:

A. about 36 ft.

What is the perimeter of a figure?

The perimeter of a figure is given by the total length of it's boundary.

In this problem, we have that:

The bottom boundary has length of 10 units.The two lateral boundaries have lengths of 7 units.There are two top boundaries, which are the hypotenuses of a right triangle with legs 3 and 5, hence:

\(t = \sqrt{3^2 + 5^2} = 5.83\)

Hence the perimeter of the figure is:

P = 10 + 2 x 7 + 2 x 5.83 = 35.66.

Rounding, it is of about 36 ft, hence option A is correct.

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finding the distance between two points (-4,-3),(6,1)​

Answers

Answer:

it's the first one

Step-by-step explanation:

What are the integers from least to greatest -22 -19 -25 14 -10 9 -7

Answers

Answer:

-7,-9,-10,-14,-19,-25,-22

What is the value of g(2)?

What is the value of g(2)?

Answers

Answer:

A.1

Step-by-step explanation:

looking at the function, you can see that you should use the second equation, x^3-9x^2+27x-25, x>=2

step 1: insert 2 into the equation. (2)^3-9(2)^2+27(2)-25

step 2: simplify equation 8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

The given function is g(x)=\(\left \{ {{(\frac{1}{2} )^{x-3} \hspace{6em} x < 2} \atop {{x^{3}-9x^{2} +27x-25} } \hspace{6em}x \geq2}} \right.\).

We need to find the value of g(2).

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, g(2)= \((\frac{1}{2} )^{x-3} =2\)

g(2)=2³-9(2)²+27×2-25

=8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

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(c) A solid bounded by z=x2+y 2
and z=4. Find the volume of the solid. (d) According to the Divergence theorem ∬ S
F
∙ n dS=∭ V div F dV Use the Divergence Theorem to find the total flux ∬ S
FindS out the solid 1≤x 2
+y2
≤4,0≤z≤2, if F=3x 2
i+9yj−3zk

Answers

The total flux of F over the solid is `512π/5`.

Given solid is bounded by `z=x^2+y^2` and `z=4`.

We need to find the volume of the solid.

The volume of the solid can be found as follows:

V = ∭dVIn cylindrical coordinates:

x = r cos θ,y = r sin θ,z = z

Then, the volume element is given by:

dV = r dr dθ dz

The limits of integration are:

r: 0 to 2θ: 0 to 2πz: x² + y² to 4

Then, the volume is given by:

V = ∭dV= ∫₂⁴ ∫₀²π ∫₀² r dr dθ dz= 32π cubic units

According to the Divergence theorem, ∬S F · n dS = ∭V div F dV.

We are given that F = 3x² i + 9y j - 3z k. Let's calculate div F:

div F = ∇ · F= (d/dx) (3x²) + (d/dy) (9y) + (d/dz) (-3z)= 6x + 9 - 3= 6x + 6

The total flux of F over the solid is given by:

∬S F · n dS = ∭V div F dV

We need to find the flux of F over the solid 1 ≤ x² + y² ≤ 4, 0 ≤ z ≤ 2. We can use cylindrical coordinates:

x = r cos θy = r sin θz = z

Then, the normal vector is given by:

n = cos θ i + sin θ j

Then, the flux is given by:

∬S F · n dS = ∭V div F dV= ∫₀² ∫₀²π ∫₁² (6r² + 6) r dz dθ dr= ∫₀² ∫₀²π (6r³ + 6r) dθ dr= ∫₀² (36π r⁴ + 12π r²) dr= 512π/5

Therefore, the total flux of F over the solid is `512π/5`.

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suppose we have data in pairs (xi , yi) for i = 1, 2, . . . , 30. conditional on xi , yi is bernoulli with success probability

Answers

Based on the given information, we can assume that for each pair (xi, yi), the outcome of yi is dependent on the value of xi. More specifically, we can say that yi follows a Bernoulli distribution, with a success probability that is conditional on the value of xi.

A Bernoulli distribution is a probability distribution that models a single binary outcome, such as a coin flip resulting in heads or tails. The distribution is characterized by a single parameter, the success probability p, which represents the probability of observing a "success" outcome (in our case, yi = 1).

In this scenario, the success probability for each yi is not fixed but rather varies depending on the value of xi. We can express this as P(yi=1 | xi) = pi, where pi represents the success probability for the ith pair, given the value of xi.

So, for example, if we observe xi = 0.5, we can use the corresponding success probability pi to calculate the probability of observing yi = 1. This would be given by P(yi=1 | xi=0.5) = pi.

Overall, this information allows us to model the relationship between xi and yi as a conditional Bernoulli distribution, where the success probability varies based on the value of xi.

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please help!!
Find the value of x.

please help!! Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

2(8x) = 64

x = 4

What is this answer

What is this answer

Answers

Answer:

Kathete plus Kathete = Hypothenuse

Step-by-step explanation:

6+8= 14

14 is the answer

Answer:

I would say 10in

Step-by-step explanation:

If you compare the eight to C then it should be 2 inches apart.

wich mathematical expression represent this statement?the sqaure of a number times 31. 7n2. 3n^2 3.2n + 84. n^3/ 2

Answers

Let the number be represented by "n"

What would you choose as x in the given series of clicks to calculate formulas automatically: file < options < x < automatic?

Answers

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

File < Options < (A) Formulas < Automatic

What are Formulas?In science, a formula is a concise way of symbolically expressing information, such as a mathematical formula or a chemical formula. In science, the term formula refers to the general construct of a relationship between given quantities. In mathematics, a formula is an identity that equates one mathematical expression to another, the most important of which are mathematical theorems. A formula (also known as a well-formed formula) is a logical entity that is constructed using the symbols and formation rules of a given logical language.

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

Therefore, File < Options < (A) Formulas < Automatic

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The complete question is given below:

What would you choose as X in the given series of clicks to calculate formulas automatically: File < Options < X < Automatic?

a. Formulas

b. Language

c. Proofing

d. Advanced

A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.

Answers

Answer:

Correct to 1dp

127.3 cm = 127.0 cm

86.5 cm = 87.0 cm

Upper limits:

127.0 cm = 127.05 cm

87.0 cm = 87.05 cm

Lower Limits:

127.0 cm = 126.95 cm

87.0 cm = 86.95 cm

upper limit of perimeter of rectangle:

P = 2(l+w)

= 2(127.05 + 87.05)

= 2(214.1)

= 428.2 cm

lower limit of perimeter of rectangle:

P = 2(l+w)

= 2(126.95 + 86.95)

= 2(213.9)

= 427.8 cm

therefore;

\(427.8 cm \leqslant perimeter < 428.2cm\)

The upperbound and the lowerbound for the perimeter of the rectangle are;

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 427.8 cm

To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;

Length; 127.3 cm ≈ 127 cm

Width; 86.5 cm ≈ 87 cm

Thus;

Upper limit of length = 127.05 cm

Lower limit of length = 126.95 cm

Upper limit of width = 87.05 cm

Lower limit of width = 86.95 cm

Formula for perimeter of rectangle is;

P = 2(length × width)

Thus;

Upper bound perimeter = 2(127.05 + 87.05)

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 2(126.95 + 86.95)

Lower bound perimeter = 427.8 cm

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what is the circumference of the following circle of 3cm​

Answers

The answer is 18.84 because pie times the radius squared is 18.84

Answer:

18.84

Step-by-step explanation:

first you  mulitiply 3.14 by two then you mulitiply what you get by 3cm

A 16-ounce bag of cereal costs about $2.88. What is the unit rade of the cereal?

Answers

Answer:

18 cents per ounce

Step-by-step explanation:

The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.

To find the price of one ounce, just divide your price of $2.88 by 16.

Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.

Given that 10 cm is approximately equal to 4 inches, which of the following expressions models a way to find out approximately how many inches are equivalent to 350 cm?
A
350×(104)
B
350×(410)
C
(10−4)×350
D
(350−10)×4

Answers

Answer: I don't Know

Step-by-step explanation: Thanks for the point tho :)

when two or more independent variables in the same regression model can predict each other better than the dependent variable, the condition is referred to as .

Answers

High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.

A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.

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12
Calculate the area of the given segment. Round your answer to the nearest tenth, if necessary.
60
8 in.

12Calculate the area of the given segment. Round your answer to the nearest tenth, if necessary.608 in.

Answers

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

12Calculate the area of the given segment. Round your answer to the nearest tenth, if necessary.608 in.

Select the correct answer.
Based on the construction shown, what is the next step in the process of constructing parallel line CD?
A.
Using the same compass width that created the first arc, repeat the arc centered at point B.
B.
Using the same compass width that created the first arc, repeat the arc centered at point C.
C. Set the compass width to the distance between point E and where the arc crosses line AB.
D.Set the compass width to be where the arc intersects lines ECand EB.

Answers

The next step in the process of constructing parallel line CD is C. Set the compass width to the distance between point E and where the arc crosses line AB.

How to illustrate the information?

It's important to draw a line parellel to line AB. Then, on should set compasses' width to the distance where the lower arc crosses the two lines.

After that, it's vital to move the compasses to where the upper arc crosses the transverse.

In conclusion, the correct option is C.

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Select the correct answer.Based on the construction shown, what is the next step in the process of constructing

Answer:

The answer is A

Step-by-step explanation:

Select the correct answer.Based on the construction shown, what is the next step in the process of constructing

A cylinder has a base radius of 10in and a height of 20in. What is its volume in cubic in,

Answers

The volume of the given cylinder is 6280 cubic inches.

What is the volume of a cylinder?

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that cylinder has a base radius of 10 in and a height of 20 in.

Here radius r = 10 in and height h = 20 in.

Substitute the known values in the formula:

The volume of cylinder= π(10)² × 20

The volume of cylinder = 3.14(100) × 20

The volume of the cylinder = 6280 cubic in

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ASAP please thank you

ASAP please thank you

Answers

Step-by-step explanation:

that is really totally easy :

to get the value of the nth term, you just need to put the actual number instead of n in the calculation rule and calculate !

the 1st term :

3×1 + 2 = 3 + 2 = 5

the 2nd term :

3×2 + 2 = 6 + 2 = 8

the 3rd term :

3×3 + 2 = 9 + 2 = 11

the 10th term :

3×10 + 2 = 30 + 2 = 32

Which set of ordered pairs below is a function?

I. {(3, 3), (6, 1), (2, 3)}

II. {(4, 7), (2, 8), (4, 2)}

III. {(9, 6), (3, 1), (7, 3)}

Answers

The answer is (9,6), (3,1), (7,3)

construct and interpret a 95 percent confidence interval for the difference between the proportion of the population who would survive at least 15 years

Answers

The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2

Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1/2(x-2)

y=1/2x-2/2+5

y=1/2x-1+5

y=1/2x+4

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

Somebody help me out please

Somebody help me out please

Answers

Answer:

So need me to solve it?

Step-by-step explanation:

Rhonda completed her homework in 1 1/2 hours jerry took 2 1/4 to do the same homework how much longer did jerry take than Rhonda did to complete the homework?

Answers

Using improper fractions we know that Jerry took 3/4 hours longer than Rhonda to complete the homework.

To find out how much longer Jerry took than Rhonda to complete the homework, we need to subtract Rhonda's time from Jerry's time. Here's a step-by-step explanation:

1. Convert the mixed numbers to improper fractions:
  Rhonda: 1 1/2 = (1 * 2 + 1)/2 = 3/2
  Jerry: 2 1/4 = (2 * 4 + 1)/4 = 9/4

2. Find a common denominator for both fractions, which in this case is 4.

3. Convert both fractions to have the common denominator:
  Rhonda: 3/2 * 2/2 = 6/4
  Jerry: 9/4 (already has the common denominator)

4. Subtract Rhonda's time from Jerry's time:
  9/4 - 6/4 = 3/4

So, Jerry took 3/4 hours longer than Rhonda to complete the homework.

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What is A number divided by two plus seven

Answers

Step-by-step explanation:

Let the number be x, then

\( \frac{x}{2 + 7} \\ \frac{x}{9} \)

What quantity of 62% acetic acid solution must be mixed with a 19% acetic acid solution to produce 334. 78 mL of 47% solution?

Answers

x = 217.9927  = amount of mL of the 62% acid solution

y = 116.7873 = amount in mL of the 19% acid solution

This can be solved using a system of two equations and two variables.  

Let x = amount of mL of the 62% acid solution

Let y = amount in mL of the 19% acid solution

We know the total mL of the mixture of the two solutions is 600 mL,

so x + y = 334.78    ..... eq(1)

62% of solution x is acid which can be written as 0.62x and similarly acid from the second solution can be written as 0.19y. We know that 47% of the 334.78 mL solution will be acid or 0.47(334.78).

The acid in the mixture solution comes from the acid in solution x and solution y. So 0.62 x + 0.19 y = 0.47 (334.78)      ... eq(2)

from equation (1)

x = 334.78-y

So, x = 217.9927

  y = 116.7873.

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The developershave created signatures for the application's binaries, and these have been added to endpointdetection and response (EDR) scanning software running on each workstation. If a scan showsthat a binary image no longer matches its signature, an administrative alert is generated. Whattype of security control is this?3. Your company is interested in implementing routine backups of all customer databases. This willhelp uphold availability because you will be able to quickly and easily restore the backed-upcopy, and it will also help uphold integrity in case someone tampers with the database. 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Nina is performingA) training and development B) labor relationsC) recruitment and selection D) performance appraisalE) human resources management Two power plants are currently emitting 8,000 tonnes of pollution annually each (totalling 16,000 tonnes of pollution). Pollution reduction costs for Plant 1 are given by MCC1 = 0.02Q and for Plant 2 by MCC2 = 0.03Q, where Q represents the number of tonnes of pollution reduction.a) Suppose a regulation is implemented that requires each plant to reduce its pollution by 5,000 tonnes. What will be each firm's pollution control costs? Draw two graphs (one for each firm) to support your answer. (25 marks)b) Suppose instead that a pollution tax of $120 per tonne of pollution emitted is implemented. How much will each firm now pay in pollution reductions costs (not considering taxes)? How do total pollution reduction costs with the tax compare to the costs calculated in part a? Explain why the costs differ. How much does each firm pay in taxes? Draw two graphs (one for each firm) to support your answer. (25 marks)c) Finally, suppose that a tradeable permit scheme is instituted in which permits for emissions of 6,000 tonnes are freely issued, 3,000 permits to each plant. What are the pollution reduction costs to each firm without trading? Use a graph to support your answer, showing 10,000 tonnes of total pollution reduction. (25 marks)d) Using the same diagram from part c, explain which firm will sell permits (and how many), and which firm will buy permits. Assuming all permits sell for the same price, how much will each permit cost? Calculate each firm's costs after trading, considering their pollution reduction costs and the costs (or revenues) from the permit sale what would be the escape speed from an object with the mass of the sun, but with a radius of 8,000 meters? Energy4p3d4s3p3s2p2s1s If- by Rudyard Kipling What can u tell about the authors life experience based on the first two stanzas? as an admirer of thomas young, you perform a double-slit experiment in his honor. you set your slits 1.13 mm apart and position your screen 3.41 m from the slits. although young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 631 nm . how far on the screen are the first bright fringe and the second dark fringe from the central bright fringe? express your answers in millimeters. Find and even number between 20 and 50 that is a multiple of 5 and 8 What is the volume of a triangular prism 4m 7m 9m How long do you think Maniac will stay with the McNabs? Do you think this will be a forever home for him? Why or why not? Cite evidence from the text to support your answer. Title:Should students Get a mental health days off from school?Ethos:Why are you credible?Pathos:What emotions will you evoke to make us care?Logos:What data, examples, reasoning, facts, will you show us? please help me!