The sum of the product of the times and velocity is given by the definite
integral of the function of velocity which is given by Simpson's rule.
Response:
The distance the runner covered during the 5 seconds is approximately 44.772 mWhat is the Simpson's rule, and how can it be used to estimate the distance?The Simpson's rule is used for to approximate a definite integral
The possible table of values of the velocity and time obtained from a similar question is presented as follows;
[tex]\begin{array}{|c|c|c}t(s)&v(m/s)&\\0&0\\0.5&4.67\\1.0&7.32&\\1.5&8.84&\\2.0&9.73&\\2.5&10.24&\\3.0&10.57&\\3.5&10.63&\\4.0&10.76&\\4.5&10.87&\\5.0&10.87&\end{array}\right][/tex]
Distance = Velocity × Time
[tex]The \ distance \ is \ given \ by \ the \ integral, \ \mathbf{\displaystyle \int\limits^a_b {f(t)} \, dt}[/tex]
Where;
f(t) = v
dt = Small duration in time
According to Simpson's rule, we have;
[tex]\displaystyle \int\limits^a_b {f(x)} \, dx = \mathbf{\frac{\Delta x}{3} \left(f(x_0) + 4 \cdot f(x_1) + 2\cdot f(x_3) + ... + 2\cdot f(x_{n - 2}) + 4 \cdot f(x_{n-1}) + f(x_n) \right)}[/tex]
Δx = [tex]\mathbf{\dfrac{b - a}{n}}[/tex]
n = 10
Which gives;
[tex]\dfrac{5.0 - 0}{10} = \dfrac{1}{2} = 0.5[/tex]
[tex]d = \displaystyle \int\limits^a_b {f(t)} \, dt = \mathbf{ \frac{0.5}{3} \left(f(t_0) + 4 \cdot f(t_1) + 2\cdot f(t_3) + ... + 2\cdot f(t_{10 - 2}) + 4 \cdot f(t_{10-1}) + f(x_{10}) \right)}[/tex]
Therefore;
d = 0.5÷3×(0 + 4 × 4.67 + 2 × 7.32 + 4 × 8.84 + 2 × 9.73 + 4 × 10.24 + 2 × 10.57 + 4 × 10.63 + 2 × 10.76 + 4 × 10.87 + 10.87) ≈ 44.772
The estimate of the distance covered during the 5 seconds, d ≈ 44.772 mLearn more about the definite integrals here:
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You are a purchasing manager for a retailer of high-end kitchen products. You know that malinox, inc. Is the best manufacturer of kitchen knives in the industry. Malinox brand kitchen knives would be an ideal complement to your store's inventory, but you know that malinox is selective with whom they sell their products. Discuss what is legally necessary to make a valid offer to malinox. In doing so, discuss the advantages and disadvantages of making the offer as specific as possible.
The legally necessary to make a valid offer to Malinox is that the purchasing manager should state their case to Malinox about their zeal or ability to sell their product.
Thereafter, they can begin negotiation on the quantity of the product they are going to buy from them and also the unit price per the product. The offer they are to make must have all their intention to form legal relations.
The Advantages and Disadvantages of making a Contract is that;
There is great flexibility.One can have Increased earnings..There is also greater room for growth and development.There is increase in terms of Responsibilities.There is high level of Uncertainty in terms of success or failure.What is Consignment?This is known to be when a business is said to be selling a product or a group of products that they bought from another company, due to a contract they have entered by the producer.
This often takes place all the time and in a ranges/variety of businesses.
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Assume linda has owned an ee bond for 3 years. The fixed rate of interest is 4% and the current value of the bond is $4500. If linda were to cash in the bond tomorrow, how much interest will she lose (approximately) as a penalty?.
Linda will lose $180 interest as a penalty if she cash in the bond tomorrow.
What is an EE Bond?An EE savings bond is rfefereed to as low-risk savings bonds that earn interest until one cashes out or double for a 30-year term. if one cashes out before the stipulated period of time, no interest will be awarded.
For Linda with
Face Value of the bond = $4500The fixed rate of interest is r = 4%If Linda were to cash in the bond tomorrow, it means she will lose
Interest = Face Value x interest rate = 4500 X 4%=$180
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Which of the following is expected to happen to a species' population when resources are stable over a long period of time and the species have reached carrying capacity?.
Answer:
1: The population will decrease
2: decrease in predators
3: 9
4: decrease in prey -> decrease in predators -> increase in Prey
5: natality-mortality = immigration-emigration
Explanation:
The population will decrease as it gets stable over a period of time.
What is carrying capacity ?The carrying capacity refers to the maximum population the ecosystem or the environment is able to carry or hold on to. This refers to the max population that can be sustained in the ecosystem and is population dynamics can be modeled from the logistic function. The more the number of species the fewer chances are in their survival as they have reached stability.
Find out more information about the species.
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The complete question is :
When resources are stable over a long period of time, a species' population can be expected to :
O die out.
o increase.
O stay the same.
O decrease.
The graph of f(x) is shown. Which graph represents g(x)=f(2x).
In the management assistance area, the small business administration (sba) provides all of the following except:.
What the small business administration (sba) do not provides is
business incubators.
What is Small Business Administration?The U.S. Small Business Administration can be regarded as the United States government agency which do offer support to entrepreneurs as well as small businesses.
Their function include;
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A cfo is looking at what percentage of a company's resources are spent on computing. He samples companies in the pharmaceutical industry and develops the following stem-and-leaf display (leaf unit = 0. 1).
Answer:
i don't understand what is the question it self?
- displaying this data?
Explanation:
Who does wilson consider his diary a letter to? why?.
Answer:
Himself because he is only able to share such thoughts in his private writings/Mr. Parsons because he fears his children, members of The Junior Spies, will report him./
Explanation:
Three types of technology implemented at the gautrain.
Technology are knowledge of science that can be used to make work more efficient three examples that are implemented at the Gautrain include, communication, manufacturing, and transportation.
What is Gautrain?It is a rail that is 80 km long and it is connected to other forms of transport such as buses and trains.
Technology used include,
Communication, workers make use of a communication system while workingManufacturing, some materials used in construction were produced Transportation, Inputs, or resources were transported.Therefore, communication, manufacturing, and transportation are three types of technology used.
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A new car is purchased for 16400 dollars. The value of the car depreciates at 8. 25% per year. What will the value of the car be, to the nearest cent, after 10 years?.
Answer:
$923.54
Explanation:
16400(0.75)^x
16400(0.75)^10 = 923.54
The mood of this excerpt can best be described as confused. Delightful. Ominous. Righteous.
The mood which is described in the be excerpt is ominous.
The excerpt from The Strange Case of Dr. Jekyll and Mr. Hyde.With every day, and from both sides of my intelligence, the moral and the intellectual, I thus drew steadily nearer to that truth, by whose partial discovery I have been doomed to such a dreadful shipwreck: that man is not truly one, but truly two. I say two, because the state of my own knowledge does not pass beyond that point.
Ominous: It means pertaining to an omen or exhibiting an omen. It also meant giving indication of a coming ill or being an evil omenMood: This is the mental or emotional state of an individual at a particular time.Learn more about excerpt:
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Answer: C
Explanation:
Abc has the following balances on december 31 prior to closing entries: revenues $25,000 retained earnings, jan. 1 20,000 cash 3,000 expenses 10,000 accounts payable 4,000 dividends 2,000 supplies 17,000 based upon the balances above, what net adjustment would be made to retained earnings due to closing entries? an increase of (just type numbers).
The Expected increase is mathematically given as
En= $13000
Given DataQuestion Parameters:
revenues $25,000 retained earnings, jan. 1 20,000 cash 3,000 expenses 10,000 accounts payable 4,000 dividends 2,000 supplies 17,000Expected increaseGenerally the equation for the Net adjustment earnings is mathematically given as
En= Revenues - Expenses - Dividend
En = 25000 - 10000 - 2000
En= $13000
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The narrator assumes that she will see denise again. Die at the camp. Be gone for a long time. Never see denise again.
Answer:
be gone for a long time
Explanation:
The narrator assumes that be gone for a long time. Hence option C is correct.
What is narrator?Narrator is defined as a person who delivers a story or speaks during a movie or television presentation without acting but instead to discuss or describe the images being displayed. By speaking directly to the audience, one or more actors can narrate a tale, provide information, or make comments about the action taking place on stage or the motives of the characters.
Assumption is defined as something that is presumptively considered to be true or likely to be true but not known to be true. It's crucial to be explicit with assumptions and to make enough of them to adequately describe the situation at hand. A person makes a claim when they make an assumption. In the aforementioned excerpt, the narrator claimed that the person she was speaking to will miss her when the first tomato matured.
Thus, the narrator assumes that be gone for a long time. Hence option C is correct.
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Carlton can hire only two full-time employees, but he needs even more help to make the two products he sells. Product alpha has a contribution margin per unit of limited resource of $750 and a unit contribution margin of $600. Product beta has a contribution margin per unit of limited resource of $975 and a unit contribution margin of $400. Carlton thinks he will be able to afford hiring an extra employee to work 150 hours per month, but he is unsure which product to have the employee work on. Which product would result in the highest additional contribution margin?.
The product that would result in the highest contribution margin is; Product Beta
What is contribution Margin?In this question, we see that production is limited by a particular resource named Labor work Hours.
Now, to determine the product to manufacture, Carlton has to rank the Contribution per unit of the limiting factor which is either labor of Product Alpha or Product Beta.
Contribution per limiting factor is gotten from:
Product Alpha; $750 per unit of limited resource
Product Beta; $975 per unit of limited resource
Finally, the Product with highest Contribution per limiting factor will be the one with the highest contribution margin and must be first to be worked upon.
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How many joules are in 148 calories? (1 cal = 4. 18 j).
Answer:
618.64 j
Explanation:
148 calories = 148*4.18 j = 618.64j
Which substance is the oxidizing agent in this reaction? 2cuo+c→2cu+co2.
Answer:
Cu ( reduced) is the oxidizing agent in the reaction
Consider this argument: "if pepsi tasted better than coke, then it would outsell coke. But pepsi does not taste better than coke. So it will not outsell coke. " that argument is an example of __________.
Answer:
this argument is I believe an example of a biased opinion, (which if I can remember) means based on someone's own opinion/experiences.
Why does the author begin his article with two rhetorical questions? a) to make the reader angry and likely to agree with him b) to make it more likely that he will be taken seriously c) to invite the reader to see the relevance of his subject d) to raise legitimate questions that everyone wonders about.
This is an example of dramatic irony because the audience is relieved that romeo has found a suitable partner. The audience is eager to discover rosaline’s opinion of the couple. Romeo and juliet are shy characters who usually avoid social events. Romeo and juliet have yet to discover that they are from feuding families.
This is an example of dramatic irony because:
Romeo and juliet have yet to discover that they are from feuding families.What is dramatic irony?Dramatic irony can be defined as a literary device which is used to describe a scene where the characters do not have an idea of what is happening. In this case, the readers/audience have the knowledge of what is happening.
Romeo and Juliet were not aware of the state of long-standing mutual hostility between their families in the scene but the audience are aware.
Therefore, the correct answer is option D
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Answer:
Romeo and Juliet have yet to discover that they are from feuding families.
Explanation:
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How many hours after a meal should a diabetic train?.
Discuss the social and cultural views that influence and affect our relationships.
There are social and cultural views that influence and affect relationships.
Culture is one that influence the relationship based on how you enter into and also how you maintain the said relationships. Culture influences also Personality traits especially how a person value traits such as humility, self-esteem and how one see others.How does social cultural views affect influence relationship?There are a lot of cultural views that is said to have the power to affect relationships in a positive and negative way. When a person is in a relationship with someone, there is a likelihood that the both people will have different cultural views.
Cultures of people make them to have different ways of communicating and engaging each other.
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What does the excerpt show? character plot setting theme.
Answer:
C. SETTINGS
Explanation:
Answer:
c
Explanation:
If there are 180 members of the 8th grade class, then what percent preferred either the museum or the sports complex?.
what time is it in the USA if it is 2:00am in the UK
Answer:
it would be 9:00 PM in the us and 2:00 in the uk
A 190 g block is pressed against a spring of force constant 1. 60 kn/m until the block compresses the spring 10. 0 cm. The spring rests at the bottom of a ramp inclined at 60. 0° to the horizontal. Using energy considerations, determine how far up the incline (in m) the block moves from its initial position before it stops under the following conditions.
How far up the incline (in m) the block moves from its initial position before it stops is 4.96 m
Law of conservation of energy
From the law of conservation of energy, the total mechanical energy at the bottom of the incline, E equals the total mechanical energy when the mass stops, E'
So, E = E'
U + P + K = U' + P' + K' where
U = initial elastic potential energy = 1/2kx² where k = spring force constant = 1.60 kN/m = 1.60 × 10³ N/m and x = spring compression = 10 cm = 0.1 m, P = initial gravitational potential energy = 0 J, K = initial kinetic energy = 0, U' = final elastice potential energy = 0, P' = final gravitational potential energy = mgh where m = mass of block = 190 g = 0.190 kg, g = acceleration due to gravity = 9.8 m/s² and h = vertical height block moves and K' = final kinetic energy = 0 (both kinetic energies are zero since the body is at rest at both positions)Substituting the values of the variables into the equation, we have
U + P + K = U' + P' + K'
1/2kx² + 0 + 0 = 0 + mgh + 0
1/2kx² = mgh
Vertical height block moves
making h subject of the formula, we have
h = kx²/2mg
substituting the values of the variables into the equation, we have
h = kx²/2mg
h = 1.60 × 10³ N/m(0.1 m)²/(2 × 0.190 kg × 9.8 m/s²)
h = 1.60 × 10³ N/m × 0.01 m²/(3.724 kgm/s²)
h = 16.0 Nm/(3.724 kgm/s²)
h = 4.296 m
Distance up the incline the block moves
Now, the distance up the incline the block moves is L = h/sinФ where
h = vertical height block moves = 4.296 m and Ф = angle of incline = 60.0°Substituting the values of the variables into the equation, we have
L = h/sinФ
L = 4.296 m/sin60.0°
L = 4.296 m/0.8660
L = 4.96 m
So, how far up the incline (in m) the block moves from its initial position before it stops is 4.96 m
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Using the maps explain how oranges, as a global food source, are part of a commodity chain within multinational agribusiness corporations.
Orange is known to have huge economic importance. How oranges serves as a global food source is explained below.
How does Oranges serves as a global food source?The main economic value of oranges is due to its fruits and also the fragrant oils that is often extracted from their flowers.
The orange peel is known to be a byproduct that is used by orange-juice industry for the production of Neroli and Portugal oils.
As orange is common food product and a vital citrus fruits is used by a lot of multinational agribusiness corporations. In international and internal view on oranges, they are trendy as it produces a kind of tasty juice that is needed by all.
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What common base can be used to rewrite each side of the equation mc002-1. Jpg 2 3 5 8.
The equation is an illustration of indices and exponents
The common base used to rewrite each side of the expression is 2
How to determine the common baseThe equation is given as:
[tex]2^{x + 3} -3 = 5[/tex]
Rewrite the above equation using the laws of indices and exponents as:
[tex]2^{x} * 2^{3} -3 = 5[/tex]
The above equation means that:
[tex]2^{x + 3} = 2^{x} * 2^{3}[/tex]
This means that, the common base when the expressions 2^x and 2^3 are combined is 2
Hence, the common base used to rewrite each side of the expression is 2
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Answer:
( A ) 2
Explanation:
If two angles have equal measurements then they are.
Answer: congruent
Explanation: since they have the same measurements
Please describe the influence of african-american musical artists, including their songs and stylistic elements, on the music of the beatles. How did this manifest in the band's early musical development? did the beatles ever tour or work with african-american musicians? you must write at least 150-200 words to cover the topic briefly but thoroughly.
The American African music artist such as Louis Armstrong broke the barrier and brought about development in music industry which enhance the growth of The Beatles.
The development brought by African music artist makes the Beatles to be a able to produce stars like McCartney, John Lennon and others.
Who are The Beatles?The Beatles can be regarded as the English rock band, that was seen as most influential band of all time which was formed in Liverpool in 1960.
Some of the artist in The Beatles are;
John Lennon Paul McCartneyGeorge HarrisonRingo Starr.However, Hey Jude is been regarded as the biggest hit music of the Beatles' run.
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Consider the following statement, which is intended to create an arraylist named theater_club to store elements of type student. Assume that the student class has been properly defined and includes a no-parameter constructor. Arraylist theater_club = new /* missing code */; which choice can replace /* missing code */ so that the statement compiles without error?.
The choice that can be used to replace /* missing code */ so that the statement compiles without error is said to be " new ArrayList<student>()".
What syntax is used to form an ArrayList?The syntax to form an ArrayList is ArrayList<Type> str = new ArrayList<Type>(); or ArrayList var_name= new ArrayList();
An array is known to be a data structure, that can help one to store a fixed-size group of elements that has the same data type.
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7. List two types of thank-you letter formats and specify when a thank-you letter should be sent.
Answer:if you get like money for christmas or ur b-day
Explanation:
Thank-you letters can either be formal or informal and they can be sent for example when we receive a gift from someone.
What are thank-you letters?Thank-you letters are letters which are written to thank others for a good deed they have done for us or to us.
Thank-you letters can either be formal or informal in nature.
Thank-you letters are written for example when we receive a gift from someone or when we benefit from someone's service such as a doctor taking care of us.
Therefore, thank-you letters can either be formal or informal and they can be sent for example when we receive a gift from someone.
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