Some applications of discrete mathematics are:
Cryptography and password security.AlgorithmsSoftware developmentWhat is discrete mathematics?Discrete mathematics can be defined as a branch of mathematics that is focused on the study of mathematical structures that can be counted, distinct and separable.
Generally, there are several field of science where discrete mathematics are applied and these include the following:
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Global enterprises has just signed a $3 million contract. the contract calls for a payment of $0.5 million today, $0.9 million one year from today, and $1.6 million two years from today. what is this contract really worth today if global enterprises can earn 12 percent on its money?
The contract really worth today if global enterprises can earn 12 percent on its money will be 2.58 million.
What is a contract signing?The participants that sign the agreement agree to the statement's provisions as well as their commercial duties.
Global enterprises have just signed a $3 million contract.
The contract calls for a payment of $0.5 million today, $0.9 million one year from today, and $1.6 million two years from today.
Then the contract really worth today if global enterprises can earn 12 percent on its money will be
Contract really worth today = 0.5m + (0.9m/1.12) + (1.6m/1.12²)
Contract really worth today = $2.579 million
Contract really worth today ≅ 2.58 million
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Convert the density of surface sea water to metric tons/cubic meter. use the internet to look for the proper conversion factor, if needed.
Answer and Explanation: The density of surface seawater is 1.0273gcm3 1.0273 g c m 3 .
Explanation:
Ton Register [ton Reg]Cubic Meter [m^3]0.01 ton reg0.0283168466 m^30.1 ton reg0.2831684659 m^31 ton reg2.8316846592 m^3
An engineer is designing a television screen. the screen is shaped like a rectangle with a length of 43.6 inches. the ratio of the length of the rectangle to its width must be 16:9. what is the approximate length of the diagonal of the screen?
By using the given ratio, we will see that the diagonal measures 50 inches.
How to get the diagonal of the screen?First, we know that the ratio between length and width is 16:9, and the length is 43.6 inches, then the width will be:
W = (9/16)*43.6 inches = 24.5 in
Now, the diagonal will be equal to the hypotenuse of a right triangle with catheti of 43.6 in and 24.5 in, by using Pythagorean's theorem we get:
[tex]D = \sqrt{(43.6in)^2 + (24.5in)^2} = 50 in[/tex]
We conclude that the diagonal measures 50 inches.
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Which piece of evidence best supports the theme that power can corrupt people
Can you please show the different answer choices?
A cladogram shows the evolutionary relationship between humans, chimpanzees, and gorillas. the cladogram currently shows humans and chimpanzees with a more recent common ancestor compared to gorillas. which piece of evidence, if true, would most likely weaken this hypothesis?(1 point)
The true evidence that most likely to weaken the hypothesis is DNA sequence analysis of the hemoglobin alpha gene shows that humans and chimpanzees have a more similar sequence to each other than they do to the gorilla’s DNA sequence.
What is a cladogram?A cladogram is a line diagram representation of the history and relationship between the animal and its ancestor.
Thus, the correct option is C.
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Given the balanced equation representing a reaction: h2 h + h what occurs during this reaction?
Answer:
What occurs is that energy is absorbed and bonds are broken. During the bond breaking, some energy is required to break the bonds. During the bond formation, some energy is released to the formation of the bonds.
Which best describes the purpose of this passage? to inform audiences about the production and types of tortillas to persuade audiences that producing and purchasing tortillas is easy to entertain audiences with a delightful and enjoyable description of tortillas to argue that tortillas are the top choice among traditional foods
Answer:d
Explanation:
just took test
To argue that tortillas are the top choice among traditional foods is best describes the purpose of this passage. Hence, option D is correct.
What are traditional foods?Traditional foods are ones that have been eaten for many generations or that have been handed down through families. Foods and meals that have a long history in a national dish, regional cuisine, or local cuisine are considered traditional.
Basic and simple foods include things like meat and poultry, eggs, whole grains, fish, beans and lentils, fruits and vegetables, nuts and seeds, dairy products, and fats.
Traditional foods have a long history of promoting health and wellness since they are nutrient-rich. Actually, these foods have been consumed by humanity for a very long time. From vegetables and fruits to meat, poultry, and fish to dairy, eggs, legumes, nuts, and seeds, traditional foods are made with the utmost simplicity.
Thus, option D is correct.
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Which of these happened during the great depression brainly
Answer:
lack of resources because of war and lots of slaves running away
The diameter of a circle is 8 centimeters. a central angle of the circle intercepts an arc of 12 centimeters. what is the radian measure of the central angle?
Based on the calculations, the radian measure of the central angle is equal to 3 radians.
Given the following data:
Arc length = 12 centimeters.
Diameter = 8 centimeters.
Radius = diameter/2 = 8/2 = 4 centimeters.
How to calculate the length of the arc?Mathematically, the length of an arc formed by a circle can be calculated by using this formula:
S = rθ
Where:
r is the radius of a circle.θ is the angle measured in radians.S is the length of an arc.Substituting the given parameters into the formula, we have:
12 = 4θ
θ = 12/4
θ = 3 radians.
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Describe the energy conversions that occur as a microwave oven heats a cup of water. give at least two energy conversions. explain how these energy conversions affect the process of heating water particles in a cup using a microwave. enter your answer in the box provided.
The thermal energy increases the temperature of the oven which results in the heating of the water.
What is an energy conversion?The conversion of energy means the potential of the energy is changed into the other form.
The energy conversions that occur as a microwave oven heats a cup of water.
First, the electrical energy is converted into microwave energy and this microwave energy increases the temperature of the microwave oven which means the microwave energy is converted into thermal energy.
The thermal energy increases the temperature of the oven which results in the heating of the water.
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Choose the correct possessive form for each phrase
Suppose the length of an oarfish is normally distributed with a mean of 6.5 m and a standard deviation of 1.5 m. which group describes 16% of the oarfish population? select each correct answer.
Answer:
Explanation:
oarfish that are shorter than 5 m
Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99
This indicates that the sample mean is lower than the population mean
Therefore,
- 0.99 = (x - 6.5)/1.5
- 0.99 × 1.5 = x - 6.5
- 1.5 = x - 6.5
x = - 1.5 + 6.5
x = 5m
The correct answer is
oarfish that are shorter than 5 m
Which of these refers to the average distance or difference of a score from the mean of the data set?
The influential statistics are used to analyze the data sample so that a conclusion about the information is reached. The standard deviation is the average distance and the mean of the data set.
What is the standard deviation?Standard deviation in statistics is used to denote the dispersion of the information of the mean values also the average distance of the individual data to the mean is represented.
This allows the understanding of the data collected by the analyzer and lets the easy comparison of the information that was collected for the analysis of the research topic.
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What should lie do next? write the polynomial as a binomial squared. factor 3 out of the variable terms. isolate the variable x. add 8 to both sides of the equation.
The answer is 3 out of the variable terms.
What are Binomial squared?The square of a binomial is the sum of the square of the first terms, then multiply the product of the two terms after that the square of the last term.
We have,
3x² + 18x - 8= 0
Move the constants to the right side.
3x² + 18x = 8
Take Factor 3 out of the variable terms.
3(x²+6x)=8
Add 27 to both sides of the equation.
3(x²+6x+9)=8+27
3(x²+6x+9)=35
Write the polynomial as a binomial squared.
3(x+3)²=35
Thus, the answer is 3 out of the variable terms.
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In an effort to increase profits, southern bbq kitchen is attempting to appeal to a specific segment of the market by offering an all-you-can-eat buffet. these efforts, designed to identify specific groups that can be profitably served, represent an example of
Answer:
target marketing
Explanation:
they are targeting a certain group they believe would bring them the most business
The tree in jacob's yard casts a shadow that is 27 feet long. jacob is 5 feet tall and casts a shadow that is 4.5 feet long. the two triangles formed are similar because the angle to the sun is the same. what is the height of the tree?
By using the fact that the two triangles are similar, we will conclude that the height of the tree is 30ft
How tall is the tree?
If the two triangles are similar, then the quotient between the height and the shadow length must be the same for both of them.
Then if H is the height of the tree we can write:
H/27ft = 5ft/4.5ft
Now we can solve this for H, we will get:
H = (5ft/4.5ft)*27ft = 30ft
So we can conclude that the height of the tree is 30ft.
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Answer:
30 feet, I just did it.
Explanation:
In this excerpt from "dover beach" by matthew arnold, which two lines or sets of lines suggest that the speaker has undergone a loss of faith?
Answer:
Option #2: "But now I only hear its melancholy, long, withdrawing roar,"Option #5: "And we are here as on a darkling plain swept with confused alarms of struggle and flight,"Prompt:
Select the correct text in the passage.
In this excerpt from "Dover Beach" by Matthew Arnold, which two lines or sets of lines suggest that the speaker has undergone a loss of faith?
The Sea of Faith
Was once, too, at the full, and round earth's shore
[Option #1] Lay like the folds of a bright girdle furled.
[Option #2] But now I only hear
Its melancholy, long, withdrawing roar,
Retreating, to the breath
[Option #3] Of the night-wind, down the vast edges drear
And [censored] shingles of the world.
Ah, love, let us be true
To one another! for the world, which seems
[Option #4] To lie before us like a land of dreams,
So various, so beautiful, so new,
Hath really neither joy, nor love, nor light,
Nor certitude, nor peace, nor help for pain;
[Option #5] And we are here as on a darkling plain
Swept with confused alarms of struggle and flight,
Where ignorant armies clash by night.
Commentary: I hope that this helps you. The Lord bless you and keep you, my friend. Shalom
Which system of equations models the paths of the two skaters? y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5 y = 0.08x2-1.6x+13 and y = 1.6(x-10)2+5 y = 0.08x2-1.6x+13 and y = 0.8(x-10)2+5 y = 0.08x2-1.6x+13 and y = 5(x-10)2+5
The system of equations models the paths of the two skate is y = 0.08x²-1.6x+13 and y = 5(x-10)²+5. The correct option is b.
What is quadratic equation?The equation with second degree of an unknown variable x, y, m, n, or p is called the quadratic equation.
David starts at (20, 13) and skates along a path that can be modeled by a quadratic equation with a vertex at (10, 5).
Vertex form of quadratic equation is
y =a (x -h)² +k where (h,k) is the vertex.
We plug in (10,5) for h and k
y= a (x -10)² +5
Now plug in (20,13) in the above equation and find out 'a'
13 = a (x -10)² +5
13 = a(10)² +5
13 = 100a + 5
Solving for a, we get
a = 0.08
Substitute 0.08 for 'a' then the equation becomes
y= 0.08 (x -10)² +5
Thus, the correct option is b.
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Answer:
A. y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5
Explanation:
Mrs. trahan samples her class by selecting 5 girls and 7 boys. this type of sampling is called?
Which scenario would most likely occur in a developing nation
Answer:
A new factory mostly employs laborers who have worked on farms their entire lives
Explanation:
"She is afraid of asking questions" means she had the intention to.
Answer:
True
I see no reason to say that if she didn't have the intention to.
If r is a commutative ring, show that the characteristic of r[x] is the same as the characteristic of r.
If R is a commutative ring, then, the characteristic of R{x} is the same as the characteristic of R.
What is a commutative ring?In ring theory, a commutative ring can be defined as a ring in which the multiplication operation is considered to be commutative in nature.
Let R represent a commutative ring with characteristic K.
Therefore, we have: Kr = 0∀r ∈ R.
Assuming f(x) ∈ R(x)
Then, f(x) would be given by: [tex]a_n x^n + a_{n-1} x^{n-1} +.......+ a_1 x^1 +a_0=0[/tex]
Also, in some instances ai ∈ R and n ∈ N.
Finally, we would have:
[tex]Kf(x) = K(a_n x^n + a_{n-1} x^{n-1} +.......+ a_1 x^1 +a_0)\\\\Kf(x) = Ka_n x^n + Ka_{n-1} x^{n-1} +.......+ Ka_1 x^1 +Ka_0\\\\Kf(x) = 0\times x^n + 0\times x +.......+ 0[/tex]
Kf(x) = 0.
Therefore, we can infer and logically deduce that if R is a commutative ring, then, the characteristic of R{x} is the same as the characteristic of R.
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all of the following are types of education that you can recieve at a two year college except
A. Apprenticeship
B. developmental
C. transfer
D. Career
On october 1 a client pays a company the full 12000
Using the accrual method, the unearned revenue as of December 31 is $12,000.
What is Unearned revenue?Unearned revenue can be defined as the amount a company received from their client for the service they are yet too rendered.
Since the company has received full balance for the services not yet provided. The unearned revenue as of December 31 will be $12,000.
Reason been that the amount that the client paid the company is for a year-long contract, hence the $12,000 represent a prepayment amount for the service the company is yet too rendered to their client
Thus, using the accrual method, the unearned revenue as of December 31 is $12,000.
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Where you able to give words or phrases associated to grammatical signals
Answer:
1.cause and effect.
2.the Emphasis is the word and phrases is the in grammatical signals
Grammatical Signals are are lieterary devices that helps the author retain coherence in their work. It creates references between different part of the text using reptition, parallelisms, synonyms etc.
What are examples of Grammatical Signals?in lieterature, the following phrase verbs act as common grammatical signals:
•Argue
•Assert
•Content
•Observe
•Suggest
•Deny etc.
How does orwell use satire to support his purpose in this passage? he uses reversal to reveal the complexities of charismatic leaders. he uses exaggeration to reveal the power of music. he uses parody to imitate communist propaganda techniques. he uses ridicule to make fun of traditional patriotic songs.
Answer:
he uses parody to imitate communist propaganda techniques.
Explanation:
i chose b, but it was incorrect. c is the correct answer
Answer:
C
Explanation:
IM HIM
Read this excerpt from the people could fly "goodie-bye!" the old man called toby spoke to them, poor souls! and he was flyin gone. so they say. the overseer told it. the one called master said it was a lie, a trick of the light. the driver kept his mouth shut. which element of folktale is included in this excerpt? it has one version and is recounted the same way every time. it has different versions, depending on the storyteller. it is a story that relates to real historical events. it is passed down to generations through the written word.
The element of folktale that is included in this excerpt is; B) It has different versions, depending on the storyteller.
How to identify the element in an excerpt Passage?
Folktales are usually about ordinary people and everyday life. The stories include setting, characters, and a problem.
We are told that the old man called toby spoke to them, poor souls! and he was flying gone. Now, this we also see different answers from different people and as such we can say that this story has different versions depending on the storyteller.
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Write a formal persuasive e-mail to a community leader to address a social concern. read more >>
A persuasive essay is an argumentative writing that can be used to prove that an idea is correct using a reliable source.
What can be a social concern of a community?A social concern in a community can be those activities or materials that are lacking in a society that would have helped in the basic needs of its occupants.
Example of some basic needs that can cause social concern include:
Clean Water supply,Electricity,Health facilities and equipment.Also note that you should address your complaints stating the reason why the lacking needs should be met.
The email should be written as follows,
Sir,
I, a member of your community, would love to use this opportunity to appreciate your wonderful works in our community. Your goodness has been a source of inspiration to us all.
In as much as we have received alot of basic needs from your leadership, however, lack of constant clean water supply has constantly posed a threat to our health.
It would mostly be appreciated if this need is urgently addressed by your administration.
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Where would you go in france to see the story of william the conqueror? deauville carnac nantes bayeux
France is the country of Europe that has Paris as the capital city. The story of William the conqueror will be seen in Bayeux of France. Thus, option D is correct.
Who is William the conqueror?William the conqueror was the Monarch of England who led the Norman domination of England. He invaded England to dethrone Harold and became the king.
The Bayeux tapestry of France portrays the art of the William and his story of conquering England. The art is made in the form of threaded woolen fibers embroidered on the fine cloth.
Therefore, option D. William will be seen at the Bayeux of France.
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Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
The expression that represents the volume of the prism is 30x² cubic units.
Option D) is the correct answer.
What is a prism?A prism is simply a solid geometric with two polygonal faces laying in parallel planes and with the other faces parallelograms.
Volume of a prism is expressed as;
Volume = base area × height
Also, the base area is expressed using the area of a trapezoid.
Hence,
Base area = (1/2) × h( a + b )
Now, let;
h = xa = xb = 2xBase area will be;
Base area = (1/2) × h( a + b )
Base area = (1/2) × x( x + 2x )
Base area = (1/2) × 3x²
Base area = 3x²/2
Now volume will be;
Volume = base area × height
Volume = 3x²/2 × h
So, let h be 20 units
Volume = 3x²/2 × 20uniit
Volume = 60x²/2
Volume = 30x² cubic units
Therefore, the expression that represents the volume of the prism is 30x² cubic units.
Option D) is the correct answer.
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