Here's an example of how you can implement the is Connected method in a Friend class representing a social network:
python
Copy code
class Friend:
def __init__(self, name):
self.name = name
self.connections = set()
def addConnection(self, friend):
self.connections.add(friend)
friend.connections.add(self)
def removeConnection(self, friend):
self.connections.remove(friend)
friend.connections.remove(self)
def isConnected(self, friend):
visited = set()
queue = [self]
while queue:
curr_friend = queue.pop(0)
visited.add(curr_friend)
if curr_friend == friend:
return True
for connection in curr_friend.connections:
if connection not in visited:
queue.append(connection)
return False
In this implementation, the Friend class has a connections set attribute that stores the references to other friends in the social network. The add Connection and remove Connection methods are used to establish or remove connections between friends.
The is Connected method takes another friend as a parameter and performs a breadth-first search (BFS) to determine if there is a path between the current friend and the given friend. It uses a visited set to keep track of visited friends and a queue to process friends in a breadth-first manner. If the given friend is found during the BFS, the method returns True, indicating that they are connected. If the BFS completes without finding the given friend, it returns False, indicating that they are not connected.
Note that this is a basic implementation, and you can modify or extend it based on your specific requirements or additional functionalities you want to include in your social network.
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What is the solution
the solutions for a system of equations is where the graphs of each equation meet or intersect.
for the picture above with two parallel lines, well, the lines are parallel and apart from each other, that means they never meet or intersect, and since they never intersect, they have no solution.
What is the solution to the system of equations below?
x + 3 y = 15 and 4 x + 2 y = 30
What is the solution to the system of equations below?
x + 3 y = 15 and 4 x + 2 y = 30
(6, 3)
(7, –6)
(3, 6)
(–6, 7)
Answer:
(6,3)
Step-by-step explanation:
x+3y=15
6+3×3=15
6+9=15
15=15
again
4x+2y=30
4×6+2×3=30
24+6=30
30=30
Hence the answer is (6,3)
Answer:
C.) 4,3
Step-by-step explanation:
The given system of equations is:
x + 3y = 15
4x + 2y = 30
The first equation can be rewritten as:
y = (15 - x)/3
Substituting this expression for y into the second equation gives:
4x + 2((15 - x)/3) = 30
Solving for x, we get:
x = 4
Substituting this value of x back into the first equation gives:
y = (15 - 4)/3 = 3
Therefore, the solution to the system of equations is (4,3).
-3y = -2x - 1
y = x - 1
i need a solution please help
Answer:
x=4
y=3
Step-by-step explanation:
work attached here
Answer:
x=4, y=3. (4, 3).
Step-by-step explanation:
-3y=-2x-1
y=x-1
--------------
-3(x-1)=-2x-1
-3x+3=-2x-1
-3x-(-2x)+3=-1
-3x+2x=-1-3
-x=-4
x=4
y=4-1=3
The box-and-whisker plot below represents some data set. What is the value of the upper quartile?
The value of the upper quartile is 24.
What is quartile calculation method?This method is used to divide a data set into four equal parts and find the values of the quartiles.
To calculate the upper quartile, we first need to find the median (the middle value) of the data set.
This question involves the use of the quartile calculation method.
This can be done by arranging the data in numerical order and finding the middle value.
In this case, the median value is 20.
The upper quartile is then calculated by finding the median of the values above the median.
In this case, the values above the median are 22, 24, 28, and 30.
To find the upper quartile, we need to calculate the median of these values.
This is done by arranging the values in numerical order and finding the middle value, which is 24. Therefore, the upper quartile is 24.
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Why is base e used in exponential functions?
Base e used in exponential functions because base e is the base rate of growth shared by all continually growing processes which lets us take a simple growth rate.
What does the base represent in an exponential function?In an exponential function, the base b is a constant. The exponent x is the independent variable in which the domain is the set of real numbers. There are two types of exponential functions, those are exponential growth and exponential decay. In the function f (x) = b^x when b > 1, the function represents exponential growth.
Base e allows us to take a simple growth rate, where all change occurs at the end of the year, and find the influence of compound, continuous growth, where every nanosecond or faster, we are growing slightly.
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: Find the exact value of the given expression. cos(2 tan^-1 (4/3))
Exact value of the expression cos (2 [tex]tan^-^1 (\frac{4}{3})[/tex]) = -7/25 . which is the cosine of the value of an angle 2 [tex]tan^-^1 (\frac{4}{3})[/tex]) .
let [tex]tan^-^1 (\frac{4}{3})[/tex] = θ
so tan θ = 4/3
tan θ = p/b
Trignometic angle formula
so p= 4k and b= 3k where k is a constant value.
h = [tex]\sqrt{p^2+b^2}[/tex]
=> [tex]\sqrt{16k^2+ 9k^2}[/tex]
=> 25k^2
=> 5k
where p is perpendicular , b is base and h is hypotenuse
so h= 5k
sin θ = p/h
=> 4k/5k
=> 4/5
cos θ =b/h
=> 3k/5k
=> 3/5
and cos (2 [tex]tan^-^1 (\frac{4}{3})[/tex]) = cos (2θ)
cos (2θ) = 2 [tex]cos^2[/tex] θ -1
=> 2 * [tex]\frac{3}{5} ^2[/tex] - 1
=> 18/25 -1
=> -7/25
so value of cos (2 [tex]tan^-^1 (\frac{4}{3})[/tex]) = -7/25
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what is the effective annual interest rate rate offered first and loan
The effective annual interest rate offered on a loan is C. It is the interest rate that would earn the same interest with annual compounding.
What is the effective annual interest rate ?The rate of interest that an investor can earn (or pay) in a year after taking into account compounding is known as the effective annual interest rate, to put it simply.
An essential instrument for assessing the real return on an investment or the real interest rate on a loan is the effective annual interest rate.
Essentially, the effective yearly interest rate that is provided on a loan is the rate at which the same amount of interest would be earned with annual compounding.
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Options for this question include:
A. It is the interest rate for an n-year time interval, where n may be more than one year or less than or equal to one year (a fraction).B. It refers to the cash flows from an investment over a one-year period divided by the number of times that interest is compounded during the year.C. It is the interest rate that would earn the same interest with annual compounding.D. It is the ratio of the number of the annual percentage rate to the number of compounding periods per year.A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
In which step did the student first make a mistake and how can it be corrected? (5 points)
a
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
b
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
c
Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
d
Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)
Step 2 is the incorrect step and hence d is the correct answer.
What are Adjacent Angles?The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.
Given here: m∠w + m∠z = 90 but this is not true because they are adjacent angles and they lie on a line so they must supplement each other.
m∠w + m∠z = 180
Hence, Step 2 is the incorrect step and hence d is the correct answer.
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hi please help me I’ll do the Brian list thing!!!
A set of eight cards were labeled with S, U, B, T, R, A, C, T. What is the sample space for choosing one card?
Os={A, B, C, R, S, U}
Os = {A, B, C, R, S, T, T, U}
Os = {A, U}
Os={T}
Triangle abc is congruent to triangle edf. So, priya knows that there is a sequence of rigid motions that takes abc to edf.
Triangle abc is congruent to triangle edf. So, priya knows that there is a sequence of rigid motions that takes abc to edf. From the rigid transformation that takes ABC to EDF, the coinciding parts based on congruency; are matched below.
Triangle congruence is when two triangles are said to be congruent to one another, it signifies that their corresponding sides and angles are equal.
Consequently, we can state that if triangle ABC and triangle EDF are congruent;
Angle A ≅ Angle E
Angle B ≅ Angle D
Angle C ≅ Angle F
Segment AB ≅ Segment ED
Segment AC ≅ Segment EF
Segment BC ≅ Segment DF
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what is y=2x-8 y=-x+1 on a graph
not sure if you need the solution too but if you do it’s (3,-2)
How to answer this because I’m so confused how to graph this so can someone help
Answer:
y = 1/3 x + 4
Step-by-step explanation:
Select the best answer. Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases. (b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples. (c) The sample mean is an unbiased estimator of the population mean. (d) The sampling distribution shows how the sample mean will vary in repeated samples. (e) The sampling distribution shows how the sample was distributed around the sample mean.
Answer:
The answer is E) The sampling distribution shows how the sample was distributed around the sample mean.
Step-by-step explanation:
Hope this helps!
Convert the masses from grams to the indicated derived units. 0.379 g = mg 787 g = Mg 74.3 g = kg
The derived units answers are 379 mg, 787 × 10^3 mg and 0.0743 kg.
What do you mean by units?
Unit is a quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner
0.379 g = ? mg
as we know, 1 gram is equal to 1000 milligrams. i.e. 1 g = 1000 mg
∴ 0.379 × 1 g
= 0.379 × 1000 mg
= 379 mg
787 g = ? mg
as we know, 1 gram is equal to 1000 milligrams. i.e. 1 g = 1000 mg
∴ 787 × 1 g
= 787 × 1000 mg
= 787000 mg
= 787 × 10^3 mg
74.3 g = ? kg
as we know, 1 gram is equal to 1 / 1000 kilograms. i.e. 1 g = 1 / 1000 kg
∴ 74.3 × 1 g
= 74.3 × 1 / 1000 kg
= 74.3 / 1000 kg
= 0.0743 kg
Therefore, the derived units answers are 379 mg, 787 × 10^3 mg and 0.0743 kg.
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Which of the following equations are true? Select all that apply. A. 24 . 8 ÷ 10 2 = 0 . 248 B. 34 . 65 ÷ 1 , 000 = 0 . 3465 C. 193 . 5 ÷ 10 0 = 193 . 5 D. 6 . 24 ÷ 10 = 62 . 4 E. 160 . 4 ÷ 10 2 = 0 . 1604
Which of the following is a factor of (x+y)³ - (x³+y³) ?choose the correct answerx²+xy²+2xyx²+y²-xyxy²3xy
The factor of (x + y)³ - (x³+y³) is 3xy is a factor of the given expression.
Factor of Expression:
The factor is part of the product. Both are factors of this term 5y because 5y represents 5 × y and 5 is multiplied by y to form 5y. Expressing a term as the product of two or more variables or numbers is called factorization. Sometimes we need to factorize arbitrary algebraic expressions. For example, y2 + y is factored as y(y+1). This means that y and y+1 are factors of y2 + y and a2- b2 = (a + b)(a - b). That is, (a + b ) and ( a-b) are factors of a² - b².
As we know,
(a + b)³ = a³ + b³ + 3a²b + 3ab²
The given expression can be simplified as,
(x + y)³ - (x³ + y³) = ( x³ +y³ +3x²y + 3xy³) - (x³ +y³)
⇒ (x + y)³ - (x³ + y³) = x³ +y³ +3x²y + 3xy³ - x³ - y³
This gives,
(x + y)³ - (x³ +y³) = 3x²y+ 3xy²
This can be written as,
(x + y)³ - (x³+y³) = 3xy(x + y)
Therefore, we can say that 3xy is a factor of the given expression.
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The probability of spinning an odd number, flipping heads, then spinning a yellow is
The probability of spinning an odd number, flipping heads, then spinning a yellow is of 1/9.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The probabilities for each case in this problem are given as follows:
Odd number: 2/3. (2 out of 3 regions in the spinner are odd numbers, 1 and 3).Heads: 1/2. (fair coin, equally as likely to be heads or tails).Spinning a yellow: 1/3.The events are independent, hence the probability is obtained multiplying each probability as follows:
p = 2/3 x 1/2 x 1/3 = 1/9.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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Danielle invested £2800 for n years in a savings account.
She was paid 2.5% per annum compound interest.
The interest is paid into the account at the end of each year.
At the end of n years, the amount of money in the savings account is greater than £3000 for the first time
Work out the value of n.
(Total for question = 2 mar
Therefore , the solution of the given problem of interest comes out to be
time = 3 years.
What is a interest?Simple interest is determined by summing the principal, interest rate, time frame, and other elements. The simple return is determined by dividing the principal by the interests rate along with the number of hours. The easiest way to calculate interest is with this formula. Interest is often determined as a percentage of a principal amount. He would only have to pay 50% of a 100% charge if he asked a buddy for a $100 loan and agreed to repay it with 5% interest. $100 (0.05) = $5. You should pay interest on the money you borrow, and you must add interest to any money you lend.
Here,
=>start * multiplier^t
=> multiplier = 1 + x % = 1.025
try n=1,
n=2,
n=3
So,
2800 * 1.025^n =3000
On comparing n=1,2,3
We get,
2800 * 1.025^3 = 3000
Thus , n=3 is the correct answer.
Therefore , the solution of the given problem of interest comes out to be
time = 3 years.
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A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.
What is the range of the given function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The range is
{9, 0, -7, -1}.
What is the range?Generally, The range is the difference between the largest and smallest values in a set of data. In statistics, it is a measure of the spread of a dataset, giving an indication of the extent to which values in the data vary. It is calculated by subtracting the minimum value from the maximum value in the dataset.
The range of a function is the set of all possible output values (y-values) of the function.
In this case, the range of the function would be {-1, 0, 7, 9}.
This is determined by looking at the y-values in the second column of the table: {9, 0, -7, -1}.
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What are the factors affecting substitution reaction?
The factors affecting substitution reaction are Steric nature of the substrate, Nature of nucleophile, Solvent used, Leaving group.
Steric nature of the substrate - The substrate's electrophilic center's steric accessibility is likely the most crucial determinant in determining whether a nucleophilic substitution will follow a Sn1 or a Sn2 mechanism.Nature of nucleophile -Small nucleophiles are preferred by Sn1 and Sn2 reactions.Solvent used - As was already noted, low to moderate polarity solvents like acetone and N,N-dimethylformamide are preferred for Sn2 mechanisms (DMF).Leaving group - The most crucial thing to keep in mind in this regard is that strong bases make ideal departing groupings.To learn more about substitution here:
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A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s can be represented by s= 11 over 2 f. What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy
Constant of proportionality from side lengths in the original figure to side lengths in the scaled copy = 2/11
What is proportion?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol "::" or "=".
Given,
f is the length of side of original figure
And s be the side of copied figure
f ∝ s
⇒ f = ks --------(a)
where k is constant of proportionality
Proportion between side of original figure and its copy is such that
s = (11/2)f
f = (2/11)s -----------(b)
comparing equation (a) and (b)
k = 2/11
Hence, 2/11 is constant of proportionality from side lengths in the original figure to side lengths in the scaled copy.
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Please help meee !?!,,,
Answer:
$3
Step-by-step explanation:
$13.99 is for one hour and one hour is for 3 children. This means they paid a total of 3 hours.
$13.99 * 3 = $41.97 for admission alone
Now our total is $50.97
Let's subtract that from admission to find sock price in total
$50.97-$41.97 = $9
Again, 3 children and each for a pair, so lets divide that $9 by 3 for each child.
$9/3 = $3
A recipe calls for 3½ pounds of sauce. How much sauce will be required to make 1/3 of the recipe?
If p is inversely proportional to the square of q, and p is 20 when q is 7, determine p when q is equal to 2.
Answer:
p is 245 when q is equal to 2----------------------------------
p is inversely proportional to the square of q:
p = k/q², where k- coefficient of proportionalityp is 20 when q is 7, substitute:
20 = k/7²Find the value of k:
k = 20*7² = 20*49 = 980Determine p when q is equal to 2:
p = 980/2² = 980/4 = 245Identify the equation of the line graphed
A
B
C
D
A. x + 2y = -2
B.
x-2y = 2
C. 2x + y = -1
D. 2x-y = 1
How to write perpendicular equations
Answer:
For example, we know that y = − 1 3 x + 5 y=\frac{-1}{3}x+5 y=3−1x+5 is perpendicular to y = 3 x − 2 y=3x-2 y=3x−2 because 3−1, the new slope, is the opposite reciprocal of 3, the original slope
Step-by-step explanation:
How do you construct a dilation with a scale factor of 2?
To construct a dilation with a scale factor of 2, you need graph paper, a compass, a ruler, a straightedge, and a pen/pencil. Sketch the pre-image, measure the distance, construct the centre, draw a line segment and use a compass to draw an arc to construct the image.
To construct a dilation with a scale factor of 2, you will need the following materials:
RulerCompassStraightedge (such as a protractor or triangle)Graph paper Pen or pencilSteps:
Start by sketching the original figure on graph paper. This will be the "pre-image."Use the ruler to measure the distance between two points on the pre-image. This distance will be used to determine the scale factor. Next, use the compass to construct a centre of dilation (also called the "centre of scale") on the pre-image. This can be any point within the pre-image. Using the straightedge, draw a line segment from the centre of the dilation to one of the points on the pre-image. This line segment represents the radius of the dilation.Use the compass to set the radius to twice the length of the line segment from step 4. This creates a scale factor of 2. Use the compass to draw an arc from the centre of the dilation to the pre-image point. This creates the image of dilation.Repeat steps 4-6 for all other points on the pre-image to construct the entire image of the dilation.It's important to note that, the dilation will keep the same shape as the original figure but it will be twice as large as the original figure.
Also, the centre of dilation is the point that stays the same distance from all the points on the image and the pre-image.
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A triangle ha ide with length 8, 15, and 17. Approximate the acute angle in thi triangle to the nearet degree and lit in acending order
According to Pythagoras, the square with the longest side is equal to the total of the squares with two sides. Therefore, the triangle in question has an acute angle of 28.07 degrees.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The Pythagorean theorem is satisfied by the triangle's dimension. As a result, the triangle has a right angle.
The acute angle will then be
x = [tex]sin^{-1}8/17[/tex]
x = 28.07 degrees.
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What is the formula for midpoint of a line segment?
The midpoint of a line segment with endpoints A(x1,y1) and B(x2,y2) is the point: M((x₁+x₂)/2,(y₁+y₂)/2)).
The midpoint formula is defined for the points in the coordinate axes. Let (x)1, (y)1, and (x)2, (y)2 be the endpoints of a line segment.
The midpoint is equal to half of the sum of the x-coordinates of the two points, and half of the sum of the y-coordinates of the two points.
The midpoint formula to calculate the midpoint of a line segment joining these points can be given as,
The midpoint is halfway between the two endpoints:
Its x value is halfway between the two x valuesIts y value is halfway between the two y valuesTo calculate it:
Add both "x" coordinates, divide by 2
Add both "y" coordinates, divide by 2
M=(xA+xB/2,yA+yB/2)
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Question
Juanita borrowed $7,000 interest free from her mother to buy a car. Juanita pays back $150 per month to her mother. How much will she still owe after 2 years of payments?
Answer: $3,400
Step-by-step explanation:
Juanita owes $7,000, she pays $150 a month for two years.
Step 1: Create an equation we can plug our values into
7,000=150x +b ------> x=# of months --------> b=what is still owed
There are 12 months in a year. 12(2)=24
7,000=150(24)+b
7,000=3600 +b
-3600 -3600
$3,400=b