Answer:
number = 8
Step-by-step explanation:
n/4 + 6 = 8
n/4 = 2
n = 8
Eduardo tiene un terreno cuadrado, su frente está determinado por las coordenadasb (2,3) y (18,3). Si se desea realizar una construcción dentro del terreno, para lo cual se necesita poner una malla a su alrededor. ¿Cuántos metros de malla necesita comprar Eduardo para rodear el terreno completo?
Answer:
Eduardo necesita 64 metros de malla para cercar el terreno completo.
Step-by-step explanation:
Por Geometría recordamos que un cuadrado es una figura geométrica con cuatro lados de igual longitud y cuatro ángulos internos rectos. Hallamos la longitud del lado frontal por la Ecuación General de la Longitud de un Segmento de Recta:
\(l = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}\) (Eq. 1)
Donde:
\(x_{A}\), \(x_{B}\) - Componentes independientes inicial y final, medidos en metros.
\(y_{A}\), \(y_{B}\) - Componentes dependientes inicial y final, medidos en metros.
\(l\) - Longitud del segmento de recta, medidos en metros.
Si conocemos que \(A(x,y) = (2\,m, 3\,m)\) y \(B(x, y) = (18\,m,3\,m)\), entonces la longitud del segmento de recta es:
\(l =\sqrt{(18\,m-2\,m)^{2}+(3\,m-3\,m)^{2}}\)
\(l = 16\,m\)
El metraje requerido para cercar el terreno es el perímetro de ese lugar, es decir, cuatro veces la longitud del lado frontal. Es decir:
\(p = 4\cdot l\) (Eq. 2)
Donde \(p\) es el perímetro del cuadrado, medido en metros.
Si \(l = 16\,m\), entonces el metraje requerdo para cercar el terreno es:
\(p = 4\cdot (16\,m)\)
\(p = 64\,m\)
Eduardo necesita 64 metros de malla para cercar el terreno completo.
........ edges 1- Assume G is a complete graph has 100 vertices, then G must has. a) 4950 b) 10000 c) 99 d) 200 2- Assume G is a connected graph has 100 vertices, then G must has at least..............edges a) 4950 b) 10000 c) 99 d) 200 3- Consider the following algorithm For i=1 to n kn while k>=1 do k=k/2 The complexity of the above algorithm is a) 2 (n²) b) 0 (n lg n) c) 8( ilgn) (d) 0( Ign) 4- Minimum Spanning Tree algorithm is a ................ Method a) Backtracking b) Dynamic c) Greedy 5-if G has a path between each two vertices then G is a.......................Graph a) Complete b) Connected c) Complete and Connected 6- Any problem in NP-Complete class is in a) NP-class b) P-class c) NP-Hard d) a + c 7- The ................. algorithm has a linear complexity a) Binary search b) Matrix multiplication c) Max is in-place Algorithm a) Insertion sort b) Selection sort c) Min Algorithm 9- The worst case analysis of insertion sort is a) 0(n²) b) 8 (n lg n) c) 0 (n¹5) 10-An example of greedy method is a) Dijkstra b) Quick Sort 8- The......... c) Min&Max d) 0(¹25) d)All d) Divide& conquer d) None d) Merge sort d) All
The complete graph with 100 vertices will have \(\( \binom{100}{2} = 4950 \)\)edges. Therefore, the correct option is (a) 4950. A connected graph with 100 vertices must have at least 99 edges.
1. A complete graph with 100 vertices means that there is an edge between every pair of vertices. The number of edges in a complete graph with n vertices is given by the formula \(\( \binom{n}{2} = \frac{n(n-1)}{2} \)\). Substituting n = 100, we get\(\( \frac{100 \cdot 99}{2} = 4950 \)\) edges.
2. In a connected graph with n vertices, the minimum number of edges required to ensure connectivity is n - 1. Therefore, a connected graph with 100 vertices must have at least 99 edges.
3. The given algorithm has a loop that divides the value of k by 2 in each iteration. As long as k is greater than or equal to 1, the loop continues. Since the value of k is halved in each iteration, the loop will run approximately \log ntimes. Therefore, the complexity of the algorithm is \(\( O(\log n) \)\).
4. The Minimum Spanning Tree algorithm is a Greedy method because it makes locally optimal choices at each step to construct the minimum spanning tree.
5. A graph is called connected if there is a path between every pair of vertices. Therefore, if a graph has a path between each two vertices, it is a connected graph.
6. NP-Complete problems are a subset of problems in the NP-class and are also NP-Hard. Therefore, any problem in the NP-Complete class is in both NP-class and NP-Hard class.
7. The algorithm with linear complexity is the Max is in-place Algorithm, which finds the maximum element in an array by comparing each element with the current maximum and updating it if necessary.
8. The worst-case time complexity of Insertion Sort is\(\( O(n^2) \)\) because in the worst case, for each element, it may need to be compared and shifted with every element to its left.
9. Dijkstra's algorithm is an example of the Greedy method for finding the shortest path in a graph.
10. The correct option is not provided for question 10, as none of the given options
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Find the length of the third side. If necessary, round to the nearest tenth.
The length of the third side is \(≈15.7\)
Step-by-step explanation:Note:
Phitagors theorem:
\(c^{2}=a^{2}+b^{2}\)
\(c: hypotenuse\)
\(a: altitude\)
\(b: base\)
1) Using Phitagors theorem
\(c^{2}=a^{2}+b^{2}\)
\(c^{2}=14^{2}+7^{2}\)
2) Calculate
\(c^{2}=245\)
3) Take the square root of both sides of the equation
\(\sqrt {c^{2}}=\sqrt{245}\)
\(c=\sqrt{245}\)
\(c≈15.7\)
The table represents the amount of storage space, in megabytes, used by music files on Zayd’s computer.
A 2-column table with 5 rows titled Zayd's Music Storage. The first column is labeled Number of Files with entries 10, 20, 30, 40, 50. The second column is labeled Space Used (Megabits) with entries 15, 30, 45, 60, 75.
Which statement best describes the relationship between storage space and number of music files?
As the number of files remains constant, the storage space used decreases.
As the number of files remains constant, the storage space used increases.
As the number of files increases, the storage space used decreases.
As the number of files increases, the storage space used increases.
The last option "As the number of files increases, the storage space used increases" best describes the relationship between storage space and number of music files based on the table provided.
What is equation?In mathematics, an equation is a statement that indicates the equality of two mathematical expressions. An equation contains an equal sign (=) between two expressions, which means that the expressions on both sides of the equal sign have the same value. An equation can have one or more variables, which are typically represented by letters, such as x, y, or z. The values of these variables that satisfy the equation are called the solutions or roots of the equation. Equations are used in a wide range of mathematical fields, including algebra, calculus, geometry, and physics. They are used to model various real-world phenomena and to solve mathematical problems.
Here,
As we move down the table, we can see that the number of files is increasing while the storage space is also increasing. For example, when there are 10 music files, the space used is 15 megabytes. When the number of files is doubled to 20, the space used also doubles to 30 megabytes. This pattern continues for each row in the table.
Therefore, we can conclude that there is a direct relationship between the number of music files and the amount of storage space used.
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Answer:
"As the number of files increases, the storage space used increases"
A video game is on sale for $55. If the discount was
14%, what was the original price?
Answer:
$77
Step-by-step explanation:
i just take 55 x 0.14 which is 7.7 then i moved the decimal 1 place to the right.
Answer:
I believe the answer it 62.70
although I am not completely sure
Step-by-step explanation:
14% of 55 = 7.7
7.7 + 55 = 62.7
= $62.70
2. What are the vertical asymptotes of y=5tan(0.1x)? On Exploration 4.3.3, what is a vertical asymptote for Question 2?A. x=10πB. x=π/10C. x=π/5D. x=0E. x=π/2F. x=5π
the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.
What is Asymptοtes?Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.
Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.
The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.
the vertical asymptοtes οf y = 5tan(0.1x) are given by:
x = (2n+1)π/2*10, where n is an integer.
Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:
\(y = (x^2 - 5x + 6)/(x^2 - 9)\)
Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.
Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.
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Use the given information to find the exact value of each of the following. a. sin2θ b. cos2θ c. tan2θ sinθ=− 4/5,θ lies in quadrant III
The exact value is:
a. sin2θ = 24/25
b. cos2θ = -7/25
c. tan2θ = -24/7
Given that sinθ = -4/5 and θ lies in quadrant III, we can use trigonometric identities to find the exact values of sin2θ, cos2θ, and tan2θ.
In quadrant III, both sine and cosine are negative.
a. To find sin2θ:
We can use the identity sin2θ = 2sinθcosθ.
Since sinθ = -4/5, we know that cosθ is negative in quadrant III. To find cosθ, we can use the Pythagorean identity: cosθ = -√(1 - sin^2θ).
cosθ = -√(1 - (-4/5)^2)
cosθ = -√(1 - 16/25)
cosθ = -√(9/25)
cosθ = -3/5
Now, we can substitute sinθ and cosθ into the sin2θ formula:
sin2θ = 2(-4/5)(-3/5)
sin2θ = 24/25
Therefore, sin2θ = 24/25.
b. To find cos2θ:
We can use the identity cos2θ = cos^2θ - sin^2θ.
Using the values we found earlier, cosθ = -3/5 and sinθ = -4/5:
cos2θ = (-3/5)^2 - (-4/5)^2
cos2θ = 9/25 - 16/25
cos2θ = -7/25
Therefore, cos2θ = -7/25.
c. To find tan2θ:
We can use the identity tan2θ = (2tanθ) / (1 - tan^2θ).
First, we need to find tanθ by dividing sinθ by cosθ:
tanθ = sinθ / cosθ
tanθ = (-4/5) / (-3/5)
tanθ = 4/3
Now, we can substitute tanθ into the tan2θ formula:
tan2θ = (2(4/3)) / (1 - (4/3)^2)
tan2θ = (8/3) / (1 - 16/9)
tan2θ = (8/3) / (9/9 - 16/9)
tan2θ = (8/3) / (-7/9)
tan2θ = -24/7
Therefore, tan2θ = -24/7
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a commercial cat food is 120 kcal/cup. a cat weighing 5 lb fed at a rate of 40 calories/lb/day should be fed how many cups at each meal if you feed him twice a day?
A cat weighing 5 lb and fed at a rate of 40 calories/lb/day should be fed a certain number of cups of commercial cat food at each meal if fed twice a day. We need to calculate this based on the given information that the cat food has 120 kcal/cup.
To determine the amount of cat food to be fed at each meal, we can follow these steps:
1. Calculate the total daily caloric intake for the cat:
Total Calories = Weight (lb) * Calories per lb per day
= 5 lb * 40 calories/lb/day
= 200 calories/day
2. Determine the caloric content per meal:
Since the cat is fed twice a day, divide the total daily caloric intake by 2:
Caloric Content per Meal = Total Calories / Number of Meals per Day
= 200 calories/day / 2 meals
= 100 calories/meal
3. Find the number of cups needed per meal:
Caloric Content per Meal = Calories per Cup * Cups per Meal
Cups per Meal = Caloric Content per Meal / Calories per Cup
= 100 calories/meal / 120 calories/cup
≈ 0.833 cups/meal
Therefore, the cat should be fed approximately 0.833 cups of commercial cat food at each meal if fed twice a day.
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Help plssss nobody helps me 100 pt
Answer: I agree
Step-by-step explanation:
He right i came too late lol
n their anniversary, Luna received a box containing x violet flowers. The number of these flowers * when it is divided by 5, 7, 9, and 11, the remainder is 1,2,3, and 4 respectively. Which among the following systems represent this scenario? O None of the mentioned O *= 2 (mod 5), x = 2 (mod 7), x = 3 (mod 9), x = 4 (mod 11) O *= 2 (mod 5), x = 1 (mod 7), x = 3 (mod 9),X = 4 (mod 11) x = 1 (mod 5), X = 2 (mod 7), x = 3 (mod 9), x = 4(mod 11)
The following system represents this scenario x = 1 (mod 5), X = 2 (mod 7), x = 3 (mod 9), x = 4(mod 11) is the right answer.
The statement is mentioned below:
On their anniversary, Luna received a box containing x violet flowers. The number of these flowers * when it is divided by 5, 7, 9, and 11, the remainder is 1,2,3, and 4 respectively.
The following system represents this scenario.
x = 1 (mod 5), X = 2 (mod 7), x = 3 (mod 9), x = 4(mod 11)
Therefore, the option:
x = 1 (mod 5),
X = 2 (mod 7),
x = 3 (mod 9),
x = 4(mod 11) is the right answer.
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The systems that represent this scenario is: x ≡ 1 (mod 5), x ≡ 2 (mod 7), x ≡ 3 (mod 9), x ≡ 4 (mod 11).
How to determine the systems that represent this scenarioTo represent the scenario described, we need to find a number x that satisfies the given conditions.
Analyzing the given options:
Option 1: None of the mentioned - This option is incorrect as it implies that none of the conditions are satisfied, which contradicts the given information.
Option 2: x ≡ 2 (mod 5), x ≡ 2 (mod 7), x ≡ 3 (mod 9), x ≡ 4 (mod 11) - This option is incorrect as it does not satisfy the condition that when x is divided by 5, the remainder should be 1.
Option 3: x ≡ 1 (mod 5), x ≡ 2 (mod 7), x ≡ 3 (mod 9), x ≡ 4 (mod 11) - This option is correct as it satisfies all the given conditions. It states that when x is divided by 5, the remainder is 1, when x is divided by 7, the remainder is 2, when x is divided by 9, the remainder is 3, and when x is divided by 11, the remainder is 4.
Option 4: x ≡ 1 (mod 5), x ≡ 2 (mod 7), x ≡ 3 (mod 9), x ≡ 4 (mod 11) - This option is erroneous since it has the same congruences as option 3 but in a different order
Therefore, the correct option is: x ≡ 1 (mod 5), x ≡ 2 (mod 7), x ≡ 3 (mod 9), x ≡ 4 (mod 11).
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Which graph represents the inequality \(y < x^2-3\)?
The graph of the inequality is the first graph of the given ones.
Which graph represents the given inequality?Here we have the following inequality:
y < x^2 -3
Notice that the symbol used is "<". This means that the points on the graph itself are not solutions, then the line must be a dashed line.
Also, y is smaller than the quadratic, then the shaded region must be bellow the parabola.
Finally, the y-intercept is -3, so we have the vertex at (0, -3)
From that, we conclude that the correct option is the first graph.
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3/10 / p = 4/5 / 1/4
What is the value of people in this proportion?
The value of people in this proportion is equal to 165/10 or 10.67.
What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
By applying direct proportion to the given information, we have the following mathematical expression:
3/10/p = 4/5/1/4
3/10 × p = 4/5 × 4
3p/10 = 16/5
Cross-multiplying, we have the following:
15p = 160
People, p = 160/15
People, p = 10.67
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Which of the following is the multiplicative inverse of 4?
16
-4
1/4
-1/4
What’s the answers???
Step-by-step explanation:
\(3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you\)
Explain how to translate, rotate, or reflect line j to obtain line k please help!
If the length of an arc of measure 55 degrees is 3.87 inches find the circumference of the circle
Answer:
25.33 is the circumference of the circle
Step-by-step explanation:
Here, given the measure of the arc, we want to get the circumference of the circle
mathematically, the length of an arc can be calculated using the formula;
theta/360 * 2 * pi* r
where 2 * pi * r = circumference of the circle
theta is the angle subtended at the center which is 55 degrees in this case
Thus, we have ;
55/360 * 2 * pi * r = 3.87
2 * pi * r = (3.87 * 360)/55
2 * pi * r = 25.33 inches
Consider the following system of equations.
1. 75x + 1. 25y = 2. 75
7x + 5y = 9
What is the solution to the system?
Since 11 ≠ 9, there is no solution.
Since 0 = 0, there are infinitely many solutions.
There is one solution, x = 0 and y = 0.
There are two solutions (11, 0) and (0, 9)
Multiply the upper system by -4:
\( - 7x - 5y = - 11\)
\(7x + 5y = 7\)
\(0 = - 3\)
\(this \: system \: admits \: no \: solutions\)
What values of the orbital number, or angular momentum (l) and magnetic (m_l) quantum numbers...
1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.
b) The values of m can be -2, -1, 0, +1, and +2
c) There are a total of 9 orbitals
What are quantum numbers?
The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.
Using the formula, number of electrons = \(n^2\)
Number of electrons =\(3^2 = 9\)
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a graphic designer is making a logo using rectangles with a height-to-width ratio of 4 : 5. Write an equation that can be used to find the height of the rectangles when the width is known
The equation that can be used to find the height of the rectangles when the width is known is h = P - 4
How to find the perimeter of the rectangleperimeter of rectangle = 2(l + h)
P(l, h) = 2(l + h)
Since the perimeter = 2(4+5) = 18, then;
18 = 2(4 + h)
9 = 4 + h
h = 9 - 4
h = P - 4
Hence the equation that can be used to find the height of the rectangles when the width is known is h = P - 4
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Find the area of the triangle.
Answer:
12.86
Step-by-step explanation:
Area=ab *siny/2
a=side
b=base
y=angle
put the values and you got the answer...
hope it helps
Answer:20
Step-by-step explanation: The answer is 20 because to find the Area you use the formula of 1/2 x base x height. 8 is the height and 5 is the base.
8 x 5 =40
Then multiply by 1/2 which will equal 20
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
At which value in the domain does f(x)=0? On a coordinate plane, a function goes through the x-axis at (negative 2.5, 0), (negative 0.75, 0), (0, negative 3), and (1, 0).
Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. \(x=1\)
Step-by-step explanation:
When x is 1, y is 0.
a dental surgery has two operation rooms. the service times are assumed to be independent, exponentially distributed with mean 17 minutes. andrew arrives when both operation rooms are empty. bob arrives 13 minutes later while andrew is still under medical treatment. another 24 minutes later caroline arrives and both andrew and bob are still under treatment. no other patient arrives during this 30- minute interval. what is the probability that caroline will be ready before andrew?
Answer:
The fact that the sum of independent exponential random variables is gamma distributed network error.
Step-by-step explanation:
Let's denote the service time for each patient in minutes as X, and let A, B, and C represent the arrival times for Andrew, Bob, and Caroline, respectively. We know that X is exponentially distributed with mean 17 minutes, so its probability density function is f(x) = (1/17)e^(-x/17).
We want to find the probability that Caroline will be ready before Andrew, or equivalently, that Caroline's service time will be less than Andrew's service time.
Let Y be the service time for Caroline in minutes. Then we need to find P(Y < X_A), where X_A is the service time for Andrew.
Since the service times are exponentially distributed, we can use the memoryless property of the exponential distribution to find the conditional distribution of X_A given that Bob is still under treatment after 13 minutes.
That is, P(X_A > t + 13 | X_A > 13) = P(X_A > t). This implies that the conditional distribution of X_A - 13 given that X_A > 13 is also exponential with mean 17, i.e., X_A - 13 ~ Exp(1/17).
Now we can use the fact that the sum of independent exponential random variables is gamma distributed network error.
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1 PROBLEM *BRAINLIEST* FOR CORRECT ANSWER
this is graphing quadratic equations. use an x/y chart to graph with 5+ points on it.
problem: y = x^2 + 4x + 6
there's an image with the problem as well as the graph if that helps you. i know how to graph, i really just need those five points (if yk what you're doing, this should make sense)
THANK YOU!!!!
To graph y = x² + 4x + 6 with 5+ points using an x/y chart, follow these steps:
Step 1: Create an x/y chart with five rows and two columns. Label the first column x and the second column y.
Step 2: Choose five values for x. You can choose any values you want as long as you plug them into the equation in the next step. In this example, we will use -3, -2, -1, 0, and 1. Write these values in the first column of your chart.
Step 3: Plug each value of x into the equation y = x² + 4x + 6 to find the corresponding value of y. Write these values in the second column of your chart. To make it simpler, here are the calculations for each point:When x = -3: y = (-3)² + 4(-3) + 6 = 3When x = -2: y = (-2)² + 4(-2) + 6 = 2When x = -1: y = (-1)² + 4(-1) + 6 = 1When x = 0: y = (0)² + 4(0) + 6 = 6When x = 1: y = (1)² + 4(1) + 6 = 11
Step 4: Plot each point on the x/y chart. The x value goes on the horizontal axis (x-axis) and the y value goes on the vertical axis (y-axis). Once you have plotted all five points, connect them with a smooth curve to create the graph of y = x² + 4x + 6. The graph is shown in the figure below.
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Wendy spent 3/8 of the last two days practicing for an ice skating competition. How many hours did she spend practicing?
the answer is 18 hours
there are 48 hours in 2 days
1/8 of 48 is 6
3/8 of 48 is 18 because 6x3= 18
hope this helps
Answer:
18
Step-by-step explanation:
48*(3/8)=18
How should you write this inequality?
Answer:
A is the answer.
if n 1 integers are chosen from the set {1, 2, 3, , 2n}, where n is a positive integer, must at least one of them be even?
Yes, One of them must be even and this is because Pigeonhole Principle.
What is Pigeonhole Principle?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.
From series {1,2......2n}, we need to select 'n+1' integers.
Even integers series from above series is {2,4,6..........2(n-1), 2n}
Odd integers series from above series is {1,3,5......2(n-2), 2n-1}
We can choose only n odd integers from the series. Therefore, if we choose n+1 integers, at least one of them must have to be even integer.
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What is 50 as a decimal ?
find the approximate surface area of the cylinder pictured below
Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.