Answer:
The number 15 will be printed
Step-by-step explanation:
The action X + 4 has to be repeated until X is greater than or equal to 15.
X = -1 + 4 = 3 + 4 =7 + 4 = 11 + 4 = 15
How much storage is needed to represent a simple graph with n vertices and m edges using
a) adjacency lists?
b) an adjacency matrix?
c) an incidence matrix?
The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:
a) Adjacency lists:
In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.
Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.
b) Adjacency matrix:
In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.
c) Incidence matrix:
In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.
Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.
In summary:
a) Adjacency lists: O(n + m)
b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs
c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs
To know more about matrix refer here:
https://brainly.com/question/28180105?#
#SPJ11
Last week salazar played 13 more tennis games than perry. if they played a combined total of 53 games. How many games did salazar play?
If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.
Let the total number of games played by Perry be x.
It is given that, Salazar played 13 more tennis games than Perry.
⇒ Total games played by Salazar = x + 13
Also, Salazar and Perry played a combined of 53 games.
Hence, total number of tennis games played by Salazar and Perry = 53
⇒ Games played by Salazar + Games played by Perry = 53
⇒ x + (x + 13) = 53
2x + 13 = 53
2x = 53 - 13
2x = 40
x = 40 / 2
x = 20
Therefore, total number of games played by Salazar = x+13
= 20 + 13
= 33
Thus, Salazar played total 33 games.
Learn more on total here:
https://brainly.com/question/14306809
#SPJ1
HELP WILL GIVE BRAINLIEST
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly?
Answer:
Tank A is filling faster
Step-by-step explanation:
On the graph, You can see that the line of tank A is rising far faster than tank B.
Answer:
Tank A is filling faster because it's a longer line.
7. What Is the volume
of the rectangular
prism shown below
Greetings! Hope this helps!
Answer
D) 5633.712
__________
13.8 x 12.6 x 32.4
Have a good day!
_______________
A brainliest would help tons! :D
Ethan school has a sport Field with an area of 6450.35 square yards. If the length of the field is 90.85 yards, what is the width of the field
Answer:
6540.85
6450.35+90.85=6540.85Your princpal has decided to provide a treat to everyone in your grade before thanksgiving break-ice cream bars! One box contains 48 bars. There are 338 students in your grade. How many boxes does he need to purchase?
Answer:
8 boxes approx
Step-by-step explanation:
Step one:
given data
One box contains 48 bars
Required
The number of boxes needed for a total of 338 students if each person is to get at least one bar.
Step two:
this can be gotten by dividing 338 by the number of the bar in a box
= 338/48
=7.04
=8 boxes approx
He needs to purchase at least 8 box
What is mean reversion? How is mean reverting level x1 is calculated for time series? How is it interpreted?
Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.
Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.
The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.
Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.
To learn more about statistical click here
brainly.com/question/33214409
#SPJ11
What would be the angles for D, E, and F?
Answer:
D:21
E:126
F:33
Step-by-step explanation:
3x+18x+5x-2=180
26x-2=180
26x=182
x=7
You have 4 white marbles and 5 black marbles. What would be the ratio for pulling out a black marble from the bag? 5:4 or 5:9?
Catty Couture is a company that make designer socks for cats.
134 cats are waiting for their socks to be made.
How many socks is this in total?
Answer:
536
Step-by-step explanation:
4 paws on each cat, multiply by the amount of cats = 536
Which is a perfect square?
Answer:
I can't see anything
A perfect square is the product of a rational number multiplied by itself.
Examples: 20 square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.
Hope this helps
Use the elimination method to solve the system of equations.
2x + 3y = 18
3x - 3y = 12
O A. (6,10)
OB. (2,6)
O C. (2,4)
OD. (6,2)
Write out the joint probability for the following sentence using the chain rule:
p(There, is, only, one, person, who, is, not, ordinary)
Write out the probability above using the second-order Markov assumption.
To write out the joint probability for the given sentence using the chain rule, we can express it as follows: p(There, is, only, one, person, who, is, not, ordinary) =
p(There) * p(is | There) * p(only | is, There) * p(one | only, is, There) *, p(person | one, only, is, There) * p(who | person, one, only, is, There) *,p(is | who, person, one, only, is, There) * p(not | is, who, person, one, only, is, There) *,p(ordinary | not, is, who, person, one, only, is, There).
This expression applies the chain rule to break down the joint probability of the sentence into the product of the conditional probabilities of each word given the preceding words in the sentence. To write out the probability using the second-order Markov assumption, we assume that the probability of each word only depends on the two preceding words. Therefore, we can express the probability as follows:
p(There, is, only, one, person, who, is, not, ordinary) = p(There) * p(is | There) * p(only | There, is) * p(one | is, only) *
p(person | only, one) * p(who | one, person) * p(is | person, who) *
p(not | who, is) * p(ordinary | is, not)
This expression only considers the two preceding words for each word in the sentence, which is the second-order Markov assumption.
To know more about probability click here
brainly.com/question/15124899
#SPJ11
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
To know more about annual rate click here
brainly.com/question/6026546
#SPJ4
Please help I got 30 mins left
Answer:
I think the correct answer is C
An equation of the line tangent to y = x3 + 3x2 + 2 at its point of inflection is: O y=-3x+1 y=-6x-6 O y=2x+10 O y=3x-1
The equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.
To find the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection, we need to determine the derivative of the function and evaluate it at the point of inflection. First, let's find the derivative of y with respect to x: dy/dx = 3x^2 + 6x. The point of inflection occurs where the second derivative of the function changes sign. Taking the derivative of dy/dx, we have: d^2y/dx^2 = 6x + 6. Setting d^2y/dx^2 equal to zero and solving for x, we find: 6x + 6 = 0; x = -1. At x = -1, the point of inflection is (-1, y) on the original function. To find the slope of the tangent line at this point, we substitute x = -1 into the derivative: dy/dx = 3(-1)^2 + 6(-1) = -3. So, the equation of the line tangent to the function at its point of inflection is: y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we have: y = -3x + b
To find b, we substitute the coordinates of the point of inflection (-1, y):y = -3(-1) + b; y = 3 + b. Since the point of inflection lies on the line, we can substitute the y-value and solve for b: 3 + b = x^3 + 3x^2 + 2; b = -6. Therefore, the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.
To learn more about tangent click here: brainly.com/question/10053881
#SPJ11
Write an equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given,
y-intercept 4 and slope -1/5
Now y=-1/5x+4
Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
Given the functions f and g, EXPLAIN why you canNOT find f * g.
f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}
g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}
You cannot find f * g because the functions have different domains
How to explain why you cannot find f * g?The functions are given as:
f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}
g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}
In the above function definitions. we have
Domain of f(x): -1, 1, 3, 6, 7
Domain of g(x): 0, 2, 4, 8
See that both functions have different domains
This means that you cannot find f * g because the functions have different domains
Read more about domain at
https://brainly.com/question/2264373
#SPJ1
Pls helppppppppppppppp
2x + 35 = 8x - 49
x = 14
2(14) + 35 = 63
<A = 63 degrees
which of the following is true about the expected value of perfect information?
a. It is the amount you would pay for any sample study.
b. It is calculated as EMV minus EOL.
c. It is calculated as expected value with perfect information minus maximum EMV.
d. It is the amount charged for marketing research.
The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.
The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.
To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.
The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.
To know more about Monetary visit.
https://brainly.com/question/28199887
#SPJ11
imagine you read poll results that found that 49% of individuals liked buying food at movies, while 42% of individuals did not like buying food at movies. this poll had an error of /- 2%. based on this result, can one say that in the population, more people clearly like buying food at the movies? group of answer choices no, as the poll results show most people do not like to buy food at the movies no, as polls cannot reflect the population no, as the confidence intervals for the two groups overlap yes, as that had the higher percentage in the poll yes, as the confidence intervals for the two groups do not overlap
the confidence intervals for the two groups overlap, and one cannot conclude that one group clearly has a higher proportion in the population than the other.
One cannot say with certainty that in the population more people clearly like buying food at the movies based solely on the given poll results. While 49% of individuals in the poll indicated that they liked buying food at movies, the margin of error is +/- 2%, which means that the true proportion of individuals who like buying food at movies could be as low as 47% or as high as 51%. Similarly, the true proportion of individuals who do not like buying food at movies could be as low as 40% or as high as 44%.
what is proportion?
proportion refers to a measure that expresses the size of one subset (e.g., the number of individuals with a certain characteristic) relative to the size of the entire group or population being considered.
To learn more about proportion visit:
brainly.com/question/30657439
#SPJ11
This is for a final pleasd help
A. Factorising 3x¹⁰ - 48x² using the greatest common factor is 3x²(x⁸ - 16).
B. Factorising completely is 3x²( (x²- 2)(x² + 2)(x² + 2 - 2x)(x² + 2 + 2x))
How to factorise an expression?To factorize an expression, the highest common factors of the terms of the given expression are determined and then we group the terms accordingly.
Therefore, let's factorise using the greatest common factor of the expression as follows;
3x¹⁰ - 48x²
Hence, the greatest common factor is 3x²
Therefore,
3x¹⁰ - 48x² = 3x²(x⁸ - 16)
B.
Therefore, let's factor the expression completely,
3x¹⁰ - 48x² = 3x²(x⁸ - 16)
Then,
(x⁸ - 16) = (x⁴ + 4)(x⁴ - 4) = (x²- 2)(x² + 2)(x² + 2 - 2x)(x² + 2 + 2x)
Hence,
3x¹⁰ - 48x² = 3x²( (x²- 2)(x² + 2)(x² + 2 - 2x)(x² + 2 + 2x))
learn more on expression here:https://brainly.com/question/22048684
#SPJ1
Michelle did a survey in four butterfly parks and wrote the following observations:
Answer:
A. 55%
Step-by-step explanation:
First we should make these into fractions
A. 33/60
B. 36/78
C. 40/89
D. 24/59
these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55% B. 36/78 is 46% . C. 40/89 is 44% D. 24/59 is about 40%
I also remember doing this on a quiz!!
Suppose you decide to put $12,500 in an account earning 9% interest compounded quarterly. How much interest would you earn after 1 year?
Step-by-step explanation:
you add 9% to a number by multiplying that number by 1.09.
because adding 9% gives us in the end 109% of the original amount.
anyway, the formula for quarterly compounded interest is
Cq = P [ (1+r)^(4*n) – 1 ]
P is the starting principal amount
r is the interest rate per quarter (= interest rate / 4)
n would be the number of years (= 1 in our case).
so, the interest after 1 year is
12500((1 + 0.09/4)⁴ - 1) = 12500(1.0225⁴ - 1) =
= 12500 × 0.093083319 = $1,163.541485 ≈ $1,163.54
x=3 (-3x-4)-6x. if x=3
I AM REAALY STUCK!!!!! I NEED THIS ASAP ONLY GOT 1 MIN, NO SCAMS PLS
What is the median of Restaurant B's food quality ratings?
2
3
4
1
5
The median of Restaurant B's food quality ratings is 4.
What is the median?
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
Food Quality Frequency CF
1 3 3
2 4 7
3 5 12
4 7 19 ⇒ median
5 6 25
Total we have 25 ratings, out of those 25 ratings 13th rating is the middle term so it will be our 4.
Thus, the median of Restaurant B's food quality ratings is 4.
Learn more about Median from :
https://brainly.com/question/21396105
#SPJ1
A partly-full paint can has 0.878 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 13.7 m2), how thick is the layer of wet paint? Give your answer in meters.
a) The volume of paint left in the can is:
.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
b) the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:
0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:
Volume = area * thickness
We want to solve for the thickness, so we rearrange the formula to get:
Thickness = Volume / area
The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:
0.003321 m^3
The area of the wall is given as:
13.7 m^2
So the thickness of the layer of wet paint is:
0.003321 m^3 / 13.7 m^2 = 0.000242 m
Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
Learn more about meters here:
https://brainly.com/question/29367164
#SPJ11
What is the value of x in this triangle?
Enter your answer in the box.
Answer: 39*
Step-by-step explanation:
102+39= 141
180-141=39
Answer:
x = 39°
Step-by-step explanation:
We know that,
→ Sum of sides of triangle = 180°
Forming the equation,
→ 39° + 102° + x = 180°
Now the value of x will be,
→ 39° + 102° + x = 180°
→ 141° + x = 180°
→ x = 180° - 141°
→ [ x = 39° ]
Hence, the value of x is 39°.
which table represents a linear function
Answer:
Option 1
Step-by-step explanation:
Option 1 is the correct answer, because a linear function goes up on the x and y axes by the same amount. In this case, the x-coordinates increase by 1, and the y-coordinates increase by 4.
The table that represents a linear function is (a)
How to determine which table represents a linear function?from the question, we have the following parameters that can be used in our computation:
The table of values
By definition;
A linear function is a function that has a constant rate of change
From the options, we have
(a) as x increase by 1, y constantly increase by 4
This means that table (a) is a linear function
Read more about linear relation at
brainly.com/question/30318449
#SPJ6
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).