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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What effect will 4 have on the graph of y = sin(x)?
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.
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 )
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!
Answer:
The answer I think is
No points of intersectionStep-by-step explanation:
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
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)
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
Answer:
-7,-9,-10,-14,-19,-25,-22
What is the value of g(2)?
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
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
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.
Answer:
x = 4
Step-by-step explanation:
2(8x) = 64
x = 4
What is this answer
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
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?
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.
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
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?
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
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 .
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.
Check the picture below.
\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)
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.
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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Answer:
The answer is A
Step-by-step explanation:
A cylinder has a base radius of 10in and a height of 20in. What is its volume in cubic in,
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
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)}
construct and interpret a 95 percent confidence interval for the difference between the proportion of the population who would survive at least 15 years
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
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
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?
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
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?
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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