Use the information above and the trigonometric identities to prove that Asin(wt

Answers

Answer 1

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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Related Questions

Shielding is a process used to protect the eyes from welding fume.

Answers

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 shieldGlovesBootsHelmet

In 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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Local applications can be accessed only on the computers on which they are installed.

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The statement Local applications can be accessed only on the computers on which they are installed is True.


What is local application?

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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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 .

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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 Computer

What 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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alexander's almanac of all things pdf free

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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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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

Answers

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 direction

x(t) = 15 + 2t + 4t³

where;

t is time of motion in secondsx is displacement, measured in meters

after 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 direction

x(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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Which of the following molecules has a bond order of 1.5 according to molecular orbital theory

Answers

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⁻

Introduction to Objectivist Epistemology pdf

Answers

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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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

Answers

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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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.

Answers

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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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

Answers

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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Which of the following methods have astronomers used to detect extrasolar planets

Answers

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 star

What 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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what's it called when fishermen dump the nets

Answers

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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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.

Answers

"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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The method of compensation relies on job tiers and grade ranges.

Answers

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:

nelly furtado how old during promiscuous

Answers

Answer:

the answer would be 28. she was born 1978 so 1978 to 2006 she would have been 28

can catfish be both fresh water and salt water

Answers

Answer: depending on what water they were dreaded from

Explanation:

6. Selection of Incident Commanders is done by the:

Answers

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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the rogue system sensor determines if a machine is a rogue system

Answers

The statement that the rogue system sensor determines if a machine is a rogue system is:

False

What 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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If you can not see something with your eyes you can increase the _____ to make it look bigger.

Answers

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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Which statement is correct about endotracheal drug administration during resuscitative efforts for pediatric patients

Answers

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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CSS Flexible Box Layout is best suited for:

Answers

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:

XMLHTML

What 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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A programmer intended to compute (a AND b) OR c, and wrote the following code, which sometimes yields incorrect output. Why

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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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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

Answers

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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The Oedipus complex is typically resolved by young boys in which of the following ways

Answers

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:

identifying as a member of one's own gender. being sexually attracted to the opposite sex.

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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.

Answers

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 loss

Quitting 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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which of the following is a good work practice when working in or around a trench or excavation

Answers

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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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

Answers

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.

Taylor Interior Designs declared Chapter 7 bankruptcy on February 1, 2019. Taylor has the following debts:

Answers

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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two adjacent sides of a parallelogram are 29 and 37

Answers

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:

Effect of Correlated Decay on Fault-Tolerant Quantum Computation

Answers

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.

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calculate the molecular weight of -melanotropin, using data in the table below. Which of the following statements is accurate regarding Accounts payable? a. Accounts payable are assets which are increased on the left side of the T-account b. Accounts payable refer to promises to pay later, which may arise from the purchase of supplies or services. c. Accounts payable refer to deposits made by the business into their checking account d. Accounts payable refer to amounts owed to the business by customers who purchased products on credit. what is the probability that this dancer raised less than 10 Capital markets do not include which of the following securities? a. Common stock b, commercial paper c.Governnvent bonds d.Preferred stock What is the theme of the poem The mask? The Blackbird Oil Company is considering the purchase of 20 new jumbo oil storage tanks. The standard model holds 12,000 gallons. Itsdimensions are the size of the similarly shaped jumbo model, that is, the ratio of the dimensions is 4:5.a) How many gallons does one jumbo tank hold?b) How many more gallons does one jumbo tankhold than one standard tank?c) If jumbo tanks cost 50% more than standardtanks, which tank is a better buy? which two factros determine the density of water What are types of exponents? What lead to the population growth of the First Nations in Mississippi Which of the following is a solution of the linear equation 3x 2y 5? What was the Freedom quilt and what did the symbols represent? What important information is reinforced both in the written text and in the illustration?the step-by-step processthe school's namethe "case sensitive" reminderthe school's motto Solve this system of equations by graphing. First graph the equations, and then type the solution. y= x7 y= 2 3 x2 Arrange the oxoacids of bromine according to strength. Strongest acid Weakest acid Answer :a. HBrO2b. HBrOc. HBrO3d. HBrO4 determine limit as t approaches infinity of f of t for f(t) if f is a solution to the logistic differential equation df over dt equals 2 tenths times the quantity 5 times f minus f squared over 2 end quantity with an initial value of f(0) Who is the character of Greek mythology? Jared is planning a trip to an amusement park. At this amusement park, there is a general admission charge plus a cost per ride. A certain number of rides are included with the general admission. To determine the average cost per ride, Jared created this expression, where x represents the number of rides Jared will ride:(39.87+2(x-5)(1/2) Q1 Identify the factors of Jareds expression. Which factor represents the total cost of Jareds trip to the amusement park? Q2 Identify the terms in the first factor of the expression. Based on the situation, identify what each term represents. What is the coefficient of the second term of the first factor? Q3What does this represent in terms of the situation? Q4 Based on Jareds expression, how many rides are included with the cost of general admission? Explain your answer. The wall street journal reports that the interest rate on three-year treasury securities is 4. 05% and the rate on five-year treasury securities is 4. 25%. According to the expectations hypothesis, what does the market expect the two-year treasury rate to be three years from today?. What goes first with organ ,epithelial tissue ,epithelial cell and organ system What role do park workers play in responding to climate change?What priorities seem most important to the park officials interviewed in the video?What problems do these workers face in planning for the future?How do workers decide when to set a controlled burn, and how do they know if they have been successful?