Using sum and difference identities from trigonometric identities shows that; Asin(ωt)cos(φ) +Acos(ωt)sin(φ) = Asin(ωt + φ)
How to prove Trigonometric Identities?We know from sum and difference identities that;
sin (α + β) = sin(α)cos(β) + cos(α)sin(β)
sin (α - β) = sin(α)cos(β) - cos(α)sin(β)
c₂ = Acos(φ)
c₁ = Asin(φ)
The Pythagorean identity can be invoked to simplify the sum of squares:
c₁² + c₂² =
(Asin(φ))² + (Acos(φ))²
= A²(sin(φ)² +cos(φ)²)
= A² * 1
= A²
Using common factor as shown in the trigonometric identity above for Asin(ωt)cos(φ) +Acos(ωt)sin(φ) gives us; Asin(ωt + φ)
Complete Question is;
y(t) = distance of weight from equilibrium position
ω = Angular Frequency (measured in radians per second)
A = Amplitude
φ = Phase shift
c₂ = Acos(φ)
c₁ = Asin(φ)
Use the information above and the trigonometric identities to prove that
Asin(ωt + φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
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A 0.340 kg particle moves in an xy plane according to x(t) 15.00 2.00t 4.00t 3 and y(t) 25.00 7.00t 9.00t 2 , with x and y in meters and t in seconds. At t 0.700 s, what are
The displacement of the particle after 0.7 second in x direction is 17.77 m and the displacement in y direction is 34.31 m.
What is displacement?Displacement is a vector quantity that refers to "how far out of place an object is".
Displacement measures the object's overall change in position.
Displacement of the particle in x directionx(t) = 15 + 2t + 4t³
where;
t is time of motion in secondsx is displacement, measured in metersafter time, t = 0.7 second
x(0.7) = 15 + 2(0.7) + 4(0.7)³
x(0.7) = 17.77 m
Displacement of the particle in y directionx(t) = 25 + 7t + 9t²
after time, t = 0.7 second
x(0.7) = 25 + 7(0.7) + 9(0.7)²
x(0.7) = 34.31 m
Thus, the displacement of the particle after 0.7 second in x direction is 17.77 m and the displacement in y direction is 34.31 m.
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nelly furtado how old during promiscuous
Answer:
the answer would be 28. she was born 1978 so 1978 to 2006 she would have been 28
Hotels charge a higher price for rooms with a nicer view, such as a skyline view or a coastal view. Assume that all consumers receive a higher utility when staying in a room with a nicer view.
"Hotels charge a higher price for rooms with a nicer view, such as a skyline view or a coastal view."There is no price discrimination. This is further explained below.
What is price discrimination.?Generally, the practice of selling one and the same product to several customers at a variety of price points, with the goal of increasing overall sales and profits.
In conclusion, if there are different prices for the same product. A hotel room with a beautiful view is a distinct good from a conventional hotel room. As a consequence, the price discrepancy is due only to differences in the GOOD's QUALITY, and not to price discrimination.
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Which of the following molecules has a bond order of 1.5 according to molecular orbital theory
The molecules that has a bond order of 1.5 according to molecular orbital theory is A) B₂⁻.
How can we calculate the molecular orbital theory?It can be calculated by substracting number of antibonding electrons from the number of bonding electrons , which is 12.
That is = 12(5−2)=1.5
It should be noted that molecular orbital theory explains that each atom tends to combine together in other to form molecular orbitals and there would be a formation of electrons in various atomic orbitals.
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COMPLETE QUESTION;
Which of the following molecules has a bond order of 1.5 according to molecular orbital theory?
A) B₂⁻
B) N₂⁻
C) CN⁻
D) NO⁻
The method of compensation relies on job tiers and grade ranges.
The method of compensation that relies on job tiers and grade ranges is:
Indirect Compensation (Promotion)What is Indirect Compensation?Indirect compensation refers to the additional benefits an employer offers the employee apart from increased financial benefits.
Promotion from a lower level to an upper level comes with an increase in job tiers and grade ranges. Monetary compensation also comes with it.
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Answer:
hay
Explanation:
John, who is 42 years-old, was a smoker but stopped at age 25. According to your text an estimated _____ years of life will be gained by John quitting smoking.
According to the text, an estimated 10 years of life will be gained by John quitting smoking.
What are the benefits of quitting smoking?Smoking refers to the act of inhaling the smoke of some drugs and substances such as tobacco, marijuana, etc.
Smoking is a risky lifestyle which has a lot of negative effects such as decrease in lifespan and increased risk of lung cancer.
Other negative effects of smoking include:
Chronic respiratory impairmentHeart diseaseStrokeDiabetesInfectionsDental problemsHearing lossVision lossQuitting smoking, thus improves and enhances lifespan.
It has been proven that quitting smoking will improve the lifespan of an individual by as much as 10 years.
Therefore, according to available literature and research, an estimated ten years of life will be gained by John quitting smoking.
In conclusion, quitting smoking improves lifespan.
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A programmer intended to compute (a AND b) OR c, and wrote the following code, which sometimes yields incorrect output. Why
A programmer intended to compute (a AND b) OR c, and wrote the following code, which sometimes yields incorrect output. The reason for this is because:
AND and OR are logical operators that operate on Boolean expressions to return true or false results.However, | and & are bitwise operators that act on a given number's binary digits bit by bit and yield a new number after the operation.Who is a computer programmer?A computer programmer is a person who specializes in creating codes with which a computer is instructed to achieve a specific and expected output.
What are the other reasons for the inconsistent yield or output?The program attempts to calculate (a AND b) OR c using the logical operators AND and OR, which will return either 1 (True) or 0 (False) depending on the inputs.
However, in the program, the programmer used the bitwise or(|) and bitwise and(&) operators: c | (a & b), which returns a new number depending on the values of a, b, and c.
As a result, it will produce the right outcome only when the logical AND - OR operation and bitwise and - or on inputs a, b, and c produce either 0 or 1. Otherwise, the outcome will be inaccurate.
As a result, the right response is that bitwise operators should be substituted by logical operators.
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CSS Flexible Box Layout is best suited for:
Cascading Style Sheets (CSS) Flexible Box Layout is designed to be best suited for: flexible one-dimensional layouts.
What is CSS?CSS is an acronym for Cascading Style Sheets and it can be defined as a style sheet programming language that is designed and developed for describing and enhancing the presentation of a webpage (document) that is written in a markup language such as:
XMLHTMLWhat is HTML?HTML is an acronym for hypertext markup language and it can be defined as a standard programming language which is used for designing, developing and creating websites or webpages.
In Computer programming, cascading style sheets (CSS) Flexible Box Layout is designed to be best suited for flexible one-dimensional layouts.
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Wells Fargo was fined for customer fraud in 2016. They ignored employee reports of fraud. But they did some things right: they had a code of ethics, investigated when customers reported fraud, and enforced the ethics program by
Wells Fargo did the right thing because they investigated a fraud reported by customers, and enforced their ethics program by punishing violators caught defrauding customers.
What are ethics?Ethics is a set of unwritten and written standards, principles, values or rules of moral conduct that're established to guide human behaviors, especially with respect to their relationship with others.
This ultimately implies that, Wells Fargo did the right thing because they had a code of ethics and investigated a fraud reported by customers, and enforced their ethics program by punishing violators caught defrauding customers.
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alexander's almanac of all things pdf free
Alkander’s Almanac of All Things is known to be a book that is said ti be a more detail notes on the 5th Edition of Mechanics and Rules along with topics on the 3 main Pillars of Combat, Exploration, and Social Encounters.
What is the book about?The alexander's almanac of all things is known to be a book that was made to be a a kind of modular expansion in relations to the topic of the core rules that we as humans are said to be familiar with.
Note that it helps a person to be able to pick and select which mechanics and rules they need to add to your game, and so making it a kind of Rulebook custom made for that person.
Hence, Alkander’s Almanac of All Things is known to be a book that is said ti be a more detail notes on the 5th Edition of Mechanics and Rules along with topics on the 3 main Pillars of Combat, Exploration, and Social Encounters.
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Taylor Interior Designs declared Chapter 7 bankruptcy on February 1, 2019. Taylor has the following debts:
According to this case study which is based on real event, records hold that upon declaration of bankruptcy in August 2019, Taylor Interior Designs was indebted to the tune of $1.3 Billion.
What is a bankruptcy?When a person or corporation is unable to discharge existing debts or obligations, a judicial action called bankruptcy is initiated.
A corporation will not be driven out of business if it files for bankruptcy.
Many businesses have embraced this method to eliminate debt and other financial commitments, slash expenses, and achieve record profits.
It is to be noted that a general answer was provided given that the information the question was unavailable.
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Which statement is correct about endotracheal drug administration during resuscitative efforts for pediatric patients
The statement that is correct about endotracheal drug administration during resuscitative efforts for pediatric patients is that; It is the least desirable route of administration
What us the effective way to administer the drug?Endotracheal drug administration is a way of instilling a drug solution directly into an endotracheal tube that undergoes absorption and further into the circulation via the alveoli. This method may also be used during CPR when venous access is limited.
Now, during resuscitative efforts for pediatric patients, it is the least used method because the primary method used in this instance is the CPR method for quick recovery of the patient.
Thus, from the options seen online, we can conclude that it is the least desirable route of administration.
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If you can not see something with your eyes you can increase the _____ to make it look bigger.
If you can not see something with your eyes you can increase the magnification to make it look bigger.
What is the magnification of a length?This is the term that is used to refer to the ratio of the length of an object that is viewed to the height of the particular object. This comes in handy when a person is unable to see an object with their eyes.
When this is the case what is recommended is that the individuals should have to try to increase the size of this object. A magnifying lens is an object that is known to be able to carry out this task.
Hence we conclude by saying that If you can not see something with your eyes you can increase the magnification to make it look bigger.
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The Oedipus complex is typically resolved by young boys in which of the following ways
The Oedipus complex is typically resolved by young boys by:
identifying as a member of one's own gender. being sexually attracted to the opposite sex.What is the Oedipus complex?The term Oedipus complex is known to be the gumming of the child to the parent of the opposite sex.
Note that this is often followed by the depiction of envious and aggressive feelings in regards to the parent of the same sex. These feelings are known to be largely repressed or is one that is made unconscious.
Hence, The Oedipus complex is typically resolved by young boys by:
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Which of the following methods have astronomers used to detect extrasolar planets
The methods that astronomers have used to detect extrasolar planets are:
Measuring the Doppler shift of the light from a star to see how the star "wobbles" due to the gravity of the planet Directly observing the extrasolar planet around its parent starWhat are the methods that astronomers have used to detect extrasolar planets ?
The astronomers used the Directly observing the extrasolar planet around its parent star for them to be able to detect extrasolar planets.
They also used Measuring the Doppler shift of the light from a star to see how they scatters.
CHECK THE COMPLETE QUESTION BELOW:
Which of the following methods have astronomers used to detect extrasolar planets
1.) Measuring the Doppler shift of the light from a star to see how the star "wobbles" due to the gravity of the planet
2. Directly observing the extrasolar planet around its parent star
3.) Observing the transit of an extrasolar planet across its star by measuring the decrease in light received from the star
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6. The class of computer used to support workgroups from a small department of two or three workers to large organizations with tens of thousands of employees and millions of customers is the .
The class of computers used to support workgroups from a small department of two or three workers to large organizations with tens of thousands of employees and millions of customers is the:
Multiple User ComputerWhat is a Multiple User Computer?A multiple-user computer is a form of computer that can be operated by many users while a single machine is a powerhouse.
This kind of computer can be used in large organizations with many employees. UNIX is one form of operating system of this kind of computer.
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Brendan is trying to increase his dietary fiber intake to better meet recommendations. Which of the following substitutions would be most effective in boosting his daily intake of fiber
The substitutions that would be most effective in boosting his daily intake of fiber are; A. Select an apple instead of an orange.
B. Choose potato bread instead of white bread.
What are the sources of Dietary Fiber?Dietary fiber, also known as roughage or bulk, is the the parts of plant foods your body can't digest or absorb.
Dietary fiber, particularly insoluble fiber, helps prevent constipation by increasing stool weight and decreasing gut transit time. The examples of foods rich in dietary fiber are; Beans, Brocolli, Berries, Avocados, Pop Corn, Whole Grains, Apples, Dried Fruit, Sweet Potatoes, Nuts, e.t.c.
Now, looking at the given options, it is clear that Option A is the correct answer because although apples and oranges contain a high amount of fiber, apples contain about 5 grams compared to the 3 grams in an orange. Also, option B is correct because potato bread contains more than twice the amount of fiber in white bread.
The options are;
A. Select an apple instead of an orange.
B. Choose potato bread instead of white bread.
C. Eat whole wheat pasta instead of white pasta.
D. Choose a spinach flavored tortilla instead of a tomato-basil flavored tortilla.
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what's it called when fishermen dump the nets
It's called ghost fishing when fishermen dump their fishing nets.
What is ghost fishing?Ghost fishing can be defined as a situation in which a fisherman decides to abandon or dump his fishing gears. Also, it could sometime be as a result of his fishing gears such as nets.
This ultimately implies that, ghost fishing is a terminology which describes a situation in which fishermen dump their fishing nets.
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the rogue system sensor determines if a machine is a rogue system
The statement that the rogue system sensor determines if a machine is a rogue system is:
FalseWhat is a rogue system?The rogue system is part of a system that is not protected. This means that the system is exposed to viruses that can easily penetrate the walls.
The rogue system detector sensors do not have the job of determining if the machine is a rogue system. They rather detect the systems that are connected to the network while the server has the task of evaluating the systems to be sure that they do not contain rogue spots.
Having understood this fact, we can conclude that the statement about rogue systems above is wrong.
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Introduction to Objectivist Epistemology pdf
Objectivist Epistemology is a college of thinking that states the real world is independent of the individual conscious mind.
What is Objectivist Epistemology?Objectivist Epistemology is a branch of epistemology aimed at understanding the real validity of natural phenomena beyond the human conscious mind.
Objectivist Epistemology and critical thinking are analyzed by Ayn Rand in the authored book 'Introduction to Objectivist Epistemology'.
In conclusion, Objectivist Epistemology is a college of thinking that states the real world is independent of the individual conscious mind.
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The nurse working on the medical-surgical unit is assigned as a preceptor to work with a newly hired nurse.Which of the following, if performed first by the newly hired nurse, would indicate the ability to prioritize appropriately
The procedure that would indicate the ability to prioritize appropriately would be to arrange the medical files and address the most critical cases first.
What is Nursing Care?This refers to the treatment and helps that trained nurse gives to their patients to help them to recover.
Hence, we can see that in the case of a nurse and her work to guide a new nurse, in order to show her the importance of prioritization, she would have to attend to the most critical cases first.
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Local applications can be accessed only on the computers on which they are installed.
The statement Local applications can be accessed only on the computers on which they are installed is True.
Local applications can be defined as the applications that are already been installed on mobile phones or computer system example is calendar application.
Hence, local application is accessible only on the computer on which the applications has been installed and this application are install by the manufacturer of the computer.
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You have a computer with three hard disks. A RAID 0 volume uses space on Disk 1 and Disk 2. A RAID 1 volume uses space on Disk 2 and Disk 3. Disk 2 fails. Which of the following is true
The information that is true about the computer is B. Data on the RAID 1 volume is accessible; data on the RAID 0 volume is not.
What is a computer?A computer means a digital electronic machine which can be programmed to carry out sequences of logical operations automatically.
Also, the hard disk drive is typically the largest storage of data that is inside a computer and ever file that is put on the computer are kept here.
In this case, the information that is true about the computer is that the data on the RAID 1 volume is accessible; data on the RAID 0 volume is not.
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You have a computer with three hard disks. A RAID 0 volume uses space on Disk 1 and Disk 2. A RAID volume uses space on Disk 2 and Disk 3. Disk 2 fails. Which of the following is true?
a. Data on both volumes is still accessible.
b. Data on the RAID 1 volume is accessible; data on the RAID 0 volume is not.
c. Data on both volumes is not accessible.
d. Data on the RAID 0 volume is accessible; data on the RAID 1 volume is not.
can catfish be both fresh water and salt water
Answer: depending on what water they were dreaded from
Explanation:
which of the following is a good work practice when working in or around a trench or excavation
All of the above are a good work practice when working in or around a trench or excavation.
Which are ways to avoid excavation hazards?They include;
Do Inspect the site daily at the beginning of every shift.Always give safe access in and out of the excavationDo examine soil conditionsDo create protective systemsDo give protections if water accumulation is an issue.A person that works in a trench is someone that is a professional at the work so as to above errors. Every work has its code of ethics and things to follow and as such it is very important to abide by them.
Hence, All of the above are a good work practice when working in or around a trench or excavation
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Shielding is a process used to protect the eyes from welding fume.
Shielding is a process used to protect the eyes from welding fume: False.
What is PPE?PPE is an acronym for personal protective equipment and it can be defined as a terminology that is used to denote any piece of equipment which offer protection to different parts of the body while working in a potentially hazardous environment.
Some examples of personal protective equipment (PPE) used to protect the different parts of the body include the following:
RespiratorsFace maskFace shieldGlovesBootsHelmetIn conclusion, it should be noted that it is false to state that shielding is a process used to protect the eyes from welding fume but it instead refers to a process that prevents molten metal from reacting with other atmospheric gases.
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6. Selection of Incident Commanders is done by the:
Selection of Incident Commanders is done by the jurisdiction or organization which is primarily responsible for the type of incident in which they are specialized in during their operations.
What is Incident Commander?This is a professional who is responsible for different types of emergency responses. This individual acts a supervisor and uses the available resources and manpower to effectively manage the incident so as to prevent death and other unpleasant circumstances which may be encountered.
The individual ensures that the scene is safe before it is opened again the general public and they are usually selected based on experience and qualification. They are also chosen by the organization in charge of the incident which is why it was chosen as the most appropriate choice.
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two adjacent sides of a parallelogram are 29 and 37
By applying the law of cosine, the length of c is approximately equal to 56 meters.
How to determine the length of c?In order to determine the length of c, we would apply the law of cosine:
C² = A² + D² - 2(A)(D)cosD
Note: Angle D = 180 - 65 = 115°
Substituting the given parameters into the formula, we have;
C² = 37² + 29² - 2(37)(29)cos115
C² = 1,369 + 841 - 2146(-0.4226)
C² = 2210 + 906.94
C² = 3116.94
C = √3116.94
C = 55.83 ≈ 56 meters.
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Complete Question:
Two adjacent sides of a parallelogram are 27' and 37', respectively. The angle (between these two sides is 65°). Find the length of c.
Answer:55.8 the answer is for acellus
Explanation:
Using the rules of standard deviation, if a value is with in standard deviation of the mean then it is 68% likely to occur. If data is standard deviations of the mean it might be considered a new discovery or incredibly rare.
When a value is 68% likely to occur, then it is 1 standard deviation from the mean. If data is incredibly rare, then it will be 0 standard deviations from the mean.
What is the empirical rule?This is a rule that predicts the percentage of values the further you go from the mean. 1 standard deviation from the mean would have 68% of the values.
The further you go from the mean, the higher the percentage of values that will be seen such that 3 standard deviations from the mean has 99% of values.
A 0 standard deviation from the mean is incredibly rare and points to identical values which isn't realistic and is why such discoveries would be considered new.
In conclusion, this is 0 standard deviation.
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Effect of Correlated Decay on Fault-Tolerant Quantum Computation
The Effect of Correlated Decay on Fault-Tolerant Quantum Computation is known to be correlation delay are:
In the study, correlated decay makes each qubit in a computer to decohere in a very short amount of timeThere is full eigenvalue spectrum of the transmission or the exchange Hamiltonian that lead to correlated decay.What is the study about?The study examine noise made in the circuit model of quantum computers if the qubits are added to a bosonic bath and the study also looks at the the failure that may take place in scalability of quantum computation.
Other result was The rate of spread of the eigenvalue distribution was said to have increase faster with N when liken to the spectrum of the undisturbed system Hamiltonian.
Hence, The Effect of Correlated Decay on Fault-Tolerant Quantum Computation is known to be correlation delay are:
In the study, correlated decay makes each qubit in a computer to decohere in a very short amount of timeThere is full eigenvalue spectrum of the transmission or the exchange Hamiltonian that lead to correlated decay.Learn more about correlation from
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