16.2 modeling exponential growth and decay answer key

Answers

Answer 1

The basics of exponential functions are given in this question.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

An increasing exponential function is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

With r as the growth rate.

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Related Questions

What role do genes play in the evolution of species

Answers

The role genes play in evolution on species is organisms

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known to have a skewed distribution. The doctor collects systolic blood pressure measurements from random sample of 28 female students. The resulting 90% confidence interval is (100. 4, 159. 6). Units of systolic blood pressure are mmhg. Which one of the following conclusions is valid?

Answers

Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:

The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:

The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.

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In mockingjay, katniss and gale reach a turning point in their relationship/friendship as they come to have different opinions about the killing of mass amounts of people. How do katniss’s and gale’s views about war differ?

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Katniss has a softer and more empathetic view of war, while Gale has a more aggressive and warlike view.

The number of blogs (or weblogs) grew rapidly for several years. According to one report in august 2006, since early in 2004 the number of blogs doubled in size every six months or so. There were about 2 million blogs in march 2004. Let n denote the number (in millions) of blogs and d the number of doubling periods since march 2004. Use a formula to express n as an exponential function of d

Answers

Answer: N=2 x 2^d

Explanation:

2006- 2004= 2( initial value)

Multiplied by 2^d because your doubling the amount from 2004

Please select the word from the list that best fits the definition a high-status occupation that requires specialized skills obtained through formal education.

Answers

Answer:

profession

Explanation:

Answer: E. Profession

Explanation:

I got it right edge 2022 :)

You will write a story which relates the events of your life from past

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so, is it like u need help making one or sum?

After a building explode, ems delivers 33 critically injured patients to your hospital where you work as an er nurse. which type of leadership would be the most effective in er personnel?

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The type of leadership which would be the most effective in er personnel is transformational and authoritative leadership.

What is Leadership?

This  can be defined as the ability of an individual or a group to influence and guide its followers.

The transformational and authoritative leadership helps to stretch boundaries and ensure swift decisions are taken  for their survival.

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All of the following are controllable factors to maintaining a healthy body composition except:

Answers

Answer:

Heredity

Explanation:

You can't chose which family to be born in, which can be a consequence of bad composition along with other health issues passed down from family members.

Answer:

Heredity

Explanation:

Because you can't choose which family to be born into the other options are all controllable.

A general formula for a parabola is x2=4py. what is the value of p in the equation x2=12y?

Answers

Answer:

the answer is 3 because 4*3=12

A typical neutron star has a mass of about 1. 5msun and a radius of 10 kilometers

Answers

How thick a layer would Earth form as it wraps around the neutron star’s surface is: 6.67 10⁻³ m.

Density of the Neutron star

Density

ρ = m / V

Where:

ρ= density

m = mass of the planet 5.98 10²⁴ km

V =volume of the spherical layer

Volume of a sphere

Volume = 4/3 π r³

Mass = 1.5 = 1.5 1,991 10³⁰

Mass= 2.99 10³⁰ kg

Density:

ρ = 2.99 10³⁰ / [4/3 π (10 10³)³]

ρ is = 7.13 10 17 kg / m³

V = 5.98 10²⁴ / 7.13 10¹⁷

V = 8,387 10⁶ m³

Thickness of the layer

V = 4π r² e

e = V / 4π r

e = 8,387 10⁶ / [4π (10 10³)²]

e = 6.67 10⁻³ m

Inconclusion how thick a layer would Earth form as it wraps around the neutron star’s surface is: 6.67 10⁻³ m.

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Advise a friend who responds to conflict by avoidance on why it is not healthy

Answers

because of the way people use it something like that

Which describes triangle jlm? right obtuse scalene equilateral

Answers

Answer:equilateral

Explanation:

Answer:

equilatoral or D or edge

Explanation:

1) what does the ghost instruct hamlet to do concerning hamlet's mother?

Answers

Answer:

The ghost exhorts Hamlet to seek revenge, telling him that Claudius has corrupted Denmark and corrupted Gertrude, having taken her from the pure love of her first marriage and seduced her in the foul lust of their incestuous union.

A characteristic that can be passed from parent to offspring through genes is called

Answers

Answer:

heridity That's the answer

The electrical conductivity of an aqueous solution depends on the concentration

Answers

The concentration, mobility, and valence state of the ionized species in a solution, as well as the temperature at which the measurement is done, all have a role. The conductivity of water increases with the concentration of ions in it.

How career and study choices are influenced by availability of finances/affordability

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There are several elements that might impact a person's profession decision. This decision-making process begins when high school graduates decide on the degree they want to pursue while keeping their budget in mind. A college degree is a valuable commodity that many young folks want to get, but it is also growing increasingly expensive. Many students choose a more cheap and practical degree over what they actually want to study because of economic considerations. In truth, college affordability is a catastrophe that the United States is currently confronting. According to the College Board, students at public universities spend more than $20,000 on tuition and room and board alone during the course of a four-year degree. As a result of the crisis, many students are obliged to pursue less costly occupations, which means they must take less expensive degree programs. The cost of receiving a higher education might impact an individual's study choices and, as a result, his or her future employment choices.

When baking a cake you have a choice of the following pans

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Is this question supposed to be extended?

Do you think evil exists? Is there an ultimate cause of evil? If there is an ultimate cause of the good (for example, God) and an ultimate cause of evil (for example, the Devil), which ultimate cause is greater? How do you know? If God exists and God is good, then why does God allow evil in the world? Can God design a world without suffering? If God is dead or does not exist, does this mean that evil will take over the world? Can good exist without God? Are humans free to do evil acts if they have free will? If yes, then is giving humans free will in fact an evil act? Can a person be evil while going good deeds?

Answers

Answer:

Evil people don't exist, but evil actions do.

Explanation:

No one can be born completely evil, but they could have done evil things. There isn't one cause of evil, rather, there are many and they vary. An example of one could be massacre ten people because those people killed their child, or friend, or relative of some sort. While it isn't right, there is usually motives. Someone who has hunger for human flesh will kill humans to eat them. It also isn't right, but the hunger is the motive, not the main drive of the person. I don't think God and the Devil exist, but if they did, God could not create a world without suffering. It is impossible to watch everything at once and if God helped us too much, we'd be helpless to defend ourselves and we could not function or advance without God's help. Good can exist without God, because there are always good people out there. Humans are free to do evil acts if they have free will, but that doesn't mean everyone would do evil acts. Giving humans free will is not an evil act, it's like giving lifeless puppets life and watching them. Refusing humans free will is also an evil act, it is basically like slavery. Yes, a person could be evil while doing good deeds because like I said, no one is completely evil.

The box and whisker plot represents the number of telemarketing calls received by households last month. Which statements are correct?

Answers

Answer:

its c

Explanation:

i think

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant. det −1 0 0 −1 = det 0 1 −1 0 = find the following determinant by hand. det 1 2 2 − 2 1 2 = in mathematics, a pattern may suggest a conclusion, but it is not proof of it. next you will prove that the determinant of a rotation matrix (ccw about the origin) must be 1. luckily, there is the general rotation matrix you can use. det cosx −sinx sinx cosx =

Answers

Answer: cos2x + sin2x

Explanation:

edge!

Answer:

Cos2x+Sin2x

Explanation:

In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.

What can readers mainly infer about jordan baker based on her comments to nick in chapter 1?

Answers

What the readers can mainly infer about jordan baker based on her comments to nick in chapter 1 are;

He is dishonest person.She cheated in her first golf tournament.

What can you infer from the comment?

The story is taken from the book titled the Great Gatsby and what the  reader can infer about Jordan Baker based on her comments to Nick in Chapter 1 is that he is dishonest individual and she cheated in her to begin with golf tournament.

Nick felt pulled in to her despite her untruthfulness and the fact that he himself claimed to be one of the few genuine individuals he has ever known.

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Archeologists have found fossil remains of some of the first land animals in layer c. it has been suggested that c-14 be used to data the fossils. some archeologists have objected and suggested that it would be best to use u-238 or pb-206 to date the rock layer instead. why would they make such a suggestion?

Answers

Because it was so back in the day that is the right suggestion

In 2010, there were approximately 50,000,000 latinos in the united states. At a growth rate of 2. 5% per year, what will the latino population be in 2020?

Answers

The annual population growth rate formula used to calculate compounded growth, the final population of the latinos is

640,00,000

Population Growth Rate Formula: Compounded Growth

Given

P , future population size = ?P ' initial population size = 50,000,000i  growth rate = 2.5%n number of periods, such as years = 2010-2020 =  10 years

P =P′(1+i)^n

Substitute our given data to final the final population of latinos

P = 50,000,000(1+0.025)^10

P = 50,000,000(1+0.025)^10

P = 50,000,000(1.025)^10

P = 50,000,000*1.28

P = 640,00,000

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Refer to table 7-11. Both the demand curve and the supply curve are straight lines. If the price is $4 but only 6 units are bought and sold, consumer surplus will be

Answers

The demand curve shows the relationship between the price of a good and the demanded quantity for a time period.

What is Customer Surplus?

This refers to the economic measurement of the price which a customer will pay about the purchase of a service is less than what they are willing to pay.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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Which statement best explains the function of the subtitle in this text? it provides additional information that narrows the focus of the text. It draws attention to important information in the table of contents. It introduces the various sections that appear within each chapter. It explains the author’s primary reason for writing about this topic

Answers

The statement which best explains the function of the subtitle in this text is: A. it provides additional information that narrows the focus of the text.

What is a subtitle?

A subtitle can be defined as a subordinate title that is typically used by a writer of a literary work to provide additional information about its contents to readers.

In this context, the statement which best explains the function of the subtitle in this text is that it would provide additional information which also narrows the focus of the text.

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Answer:

A.

It provides additional information that narrows the focus of the text.

Explanation:

The ptolemaic model of the universe describes earth as

Answers

the Ptolemaic model of the universe describes Earth as being at the center.

Corey deposited $700 into a savings account that pays a simple annual interest rate of 2. 9%. How much interest will he earn after 3 months?

Answers

The simple interest that Corey will earn after 3 months is $5.075

What is simple interest?

Simple interest is a calculation of interest that doesn't take into account the effect of compounding.

The simple interest (SI) is computed as :

= p * r * t / 100

= 1 / 100 ( 700 * 2.9  * 3 / 12 )

= 7 * 2.9 * 1 / 4

= 5.075

Hence, the simple interest that Corey will earn after 3 months is $5.075

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Which circuit diagram represents voltmeter v connected correctly to measure the potential difference across resistor r2?

Answers

To measure the potential difference across resistor r2, the voltmeter is connected in parallel with the resistor.

What is a voltmeter?

A voltmeter is an electrical instrument device that is used to measure the potential device or voltage between two points in an electric circuit. A voltmeter can also measure the potential difference across circuit element.

To measure the potential difference across resistor r2, the voltmeter is connected in parallel with the resistor. That is both terminals of the voltmeter are connected to the terminals of the resistor.

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Answer: circuit 3

Explanation:

Four ways in which one's acceptance of responsibility

Answers

Answer:

accountability,empathy, being respectful,being honest.

Explanation:

once you do those things that is accepting responsibility for your actions.

Calculate the bond energy for breaking all the bonds in a mole of methane, ch4

Answers

Since there are four C-H bonds present in CH4, the bond energy of CH4 is 1652 kJ/mol.

What is bond energy?

The term bond energy refers to the energy required to break the bond between two atoms. We have to note that the bond energy of one mole of a molecule depends on the number of individual bonds in the molecule.

For CH4, we know that there are four C-H bonds present. Each C-H bond has a bond energy of about  413 kJ/mol. As such, the bond energy of CH4 is 4( 413 kJ/mol) = 1652 kJ/mol.

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