A population of bacteria is 8500 on day 1, 9350 on day 2, and 10,285 on day 3. What will the population be on day 30?.

Answers

Answer 1

Population are often represented using exponential functions

The population of the bacteria on day 30 is 134837

Let x represent the number of days, and y represents the population.

So, we have: (x,y) = (1,8500), (2, 9350) (3, 10285)

An exponential functions is represented as [tex]\mathbf{y = ab^x}[/tex]

So, we have:

[tex]\mathbf{8500 = ab}[/tex]

[tex]\mathbf{9350 = ab^2}[/tex]

Divide both equations

[tex]\mathbf{\frac{9350}{8500} = \frac{ab^2}{ab}}[/tex]

[tex]\mathbf{1.1 = b}[/tex]

Rewrite as:

[tex]\mathbf{b = 1.1 }[/tex]

Substitute 1.1 for b in [tex]\mathbf{8500 = ab}[/tex]

[tex]\mathbf{ 8500 = 1.1a}[/tex]

Divide both sides by 1.1

[tex]\mathbf{ 7727.3 = a}[/tex]

Rewrite as:

[tex]\mathbf{ a = 7727.3 }[/tex]

So, we have:

[tex]\mathbf{y = ab^x}[/tex]

[tex]\mathbf{y = 7727.3 \times 1.1^x}[/tex]

On day 30, we have: x = 30.

So, the equation becomes

[tex]\mathbf{y = 7727.3 \times 1.1^{30}}[/tex]

[tex]\mathbf{y = 134837}[/tex]

Hence, the population of the bacteria on day 30 is 134837

Read more about exponential functions at:

https://brainly.com/question/11487261


Related Questions

In your opinion, which phrase describes society today?

Answers

Answer:

an expansion of growth and maturity but also deforming backwords in a way

Answer: very simple

Explanation: I just did it

Which of the following is not a special feature of the foreign exchange rate market.

Answers

Answer:

facilitate currency conversion

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data. A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5. Which is the approximate slope of the line of best fit for the data? –5. 5 –4. 5 –2. 0 –1. 0.

Answers

Answer:

-4.5

Explanation:

What is the best definition of the underlined word as it is used in the sentence? unlucky or unfortunate; pitiable unknown or unfamiliar; mysterious without intelligence; foolish without tenderness; harsh.

Answers

Answer: A- unlucky or unfortunate; pitiable

Explanation: The words around it help me figure out the meaning!

Answer:

i believe the correct answer is A.

Explanation:

its correct on EDGE2021

In a marathon, 90% of runners managed to complete it and 30% of them were men. If 270 men completed it, how many total runners began the marathon? type your answer below!.

Answers

Answer:

i dont know how to say it

Explanation:

Which of the following is true if δesys = - 115 j?.

Answers

Answer:

115 j

is true

Explanation:

Thats the true

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x 2) cm. A solid oblique pyramid has a square base with edges measuring x centimeters. The height is (x 2) centimeters. Which expression represents the volume of the pyramid? StartFraction x cubed 2 x squared Over 3 EndFraction cm3 StartFraction x squared 2 x squared Over 2 EndFraction cm3 StartFraction x cubed Over 3 EndFraction cm3 StartFraction x cubed 2 x squared Over 2 EndFraction cm3.

Answers

Answer:

a

Explanation:

Which detective seems to have more clues about solving the case? Bolsa Sancho.

Answers

Answer:

sancho

Explanation:

answers for the whole quiz -

1. true

2. false

3. a parrot

4. while he was hiding out

5. sancho

YOURE WELCOME

Sancho's detective seems to have more clues about solving the case. Thus option B is correct.

Who is a detective?

Detectives are typically investigative people, which implies that they are extremely inquiring and curious people who enjoy spending time by themselves thinking. An investigator who works for a law enforcement agency is known as a detective.

Talking to witnesses and whistleblowers, gathering tangible evidence, reviewing databases, and interviewing sources are all common ways that investigators get information to solve crimes.

You've come to the right place if you're seeking for the Sancho from a Cervantes narrative crossword clue answers. Please double-check that you have the right answer or clue because it's common for crossword puzzles with similar clues to have disparate solutions. As a result, they are able to apprehend offenders and prosecute them at court. Therefore, option B is the correct option.

Learn more about detective, Here:

https://brainly.com/question/16604397

#SPJ5

Read the excerpt from "Harlem. " Does it stink like rotten meat? Or crust and sugar over- like a syrupy sweet? Read the excerpt from "The Weary Blues. " Droning a drowsy syncopated tune Rocking back and forth to a mellow croon In both poems, Hughes uses the imagery to establish tone. Offer background information. Convey a criticism. Conjure pleasant memories.

Answers

Answer: establish tone

Explanation: ed 2021

There are different kinds of tones. Hughes uses the imagery to establish tone.

What does establishing tone implies?

For one to establish a tone means to set a kind of  quality, feeling, etc., by the approach one use in  speaking or writing.

Tone is known to be an author's attitude toward a specific subject. The tone can be seen by looking at word choices and phrases that is used by the author or looking at the language used.

Learn more about  establish tone from

https://brainly.com/question/1087425

What is the ratio of the area of ABC to the area of ABD? A. B. C. D.

Answers

Answer:

Explanation:

area ABD = 16*12/2  

area ABC = 9*12/2

------------------------------

so the ratio of the area ABC to the area of ABD = (9*12/2)/(16*12/2) =  

= 9/16  

hope this helped!

mark me brainliest :D

The ratio of the area of ABC to the area of ABD is 9/16. The correct option is B.

What is the area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

The area of a triangle is the region bounded by its perimeter or its three sides. The area of a triangle can be calculated using the formula, where the base of the triangle is b and the height is h.

A = ½ (b × h)

The two areas will be calculated as:-

Area ABD = ( 1 / 2 )  x 16  x  12

Area ABC = (1 / 2 ) x  9  x  12

So the ratio of the area ABC to the area of ABD will be

= [ ( 1 / 2)  x 16  x  12 ]  ÷  [ (1 / 2 ) x  9  x  12 ]

=  9 / 16

Therefore, the area of ABC to the area of ABD is 9/16. The correct option is B.

To learn more about the area, refer to the below link:

brainly.com/question/25292087

#SPJ5

The question is incomplete. Your most probably complete question is given below:

A. 6/12

B. 9/16

C. 8/16

D. 7/8

Why does the husband not force the door open?​

Answers

Answer:

I don't understand your question..

Explanation:

What movie or story is this for?

A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) which statement about (2x – 3)(5x + 9) is true?.

Answers

Answer:

b.

Explanation:

Answer:

B

Explanation:

i took the test

An example of a mineral made up of a pure element is.

Answers

silver, gold, and copper are all pure elements.

How was your breathing 5 minute walking around home.

Answers

It was quite normal but a lot faster than when I sit down

An oligopolistic market structure is distinguished by several characteristics, one of which is either similar or identical products. Which of the following are other characteristics of this market structure? check all that apply.

Answers

Answer:

The right options are:

B) Difficult entry

C) Mutual interdependence

D) Market control by a few large firms

Explanation: In an oligopoly, there is a small number of large firms dominating a very significant share of the overall market. In addition, an oligopoly is characterized by high entry barriers and the firms sell identical or differentiated products. Moreover, in an oligopoly, firms are interdependent as each firm control a significant market share; so, one firm's policies affect other firms.

Please comment if the answer is not clear to you or you need any improvement. Could you please rate the answer if it was helpful to you?

Explanation:

When a positive charge is released and moves along an electric field line.

Answers

what does it mean expalin it

What is the main purpose of the concluding paragraph.

Answers

Answer:

to summarize, wrap up and put a end to a text or essay.

Explanation:

Punishment is more effective when applied at least an hour after the target behavior has occurred. Please select the best answer from the choices provided T F.

Answers

Answer:

the correct answer is false

Explanation:

Answer:

False

Explanation:

on edge

Ejemplos de analogías simétricas

Answers

Answer:

sorry i dont know the answer

Explanation:

very sorry

A tube is being stretched while maintaining its cylindrical shape.

Answers

Answer:

This question is incomplete, the complete question is;

A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per second. At the instant that the radius of the tube is 6 millimeters, the volume is increasing at the rate of 96π cubic millimeters per second. Which of the following statements about the surface area of the tube is true at this instant? (The volume V of a cylinder with radius r and height h is V=πr2h. The surface area Sof a cylinder, not including the top and bottom of the cylinder, is S=2πrh.)

A) The surface area is increasing at the rate of 28pi square mm per second.

B) The surface area is decreasing at the rate of 28pi square mm per second.

C) The surface area is increasing at the rate if 32pi square mm per second.

D) The surface area is decreasing at the rate of 32pi square mm per second.

Answer:

Surface Area is increasing at the rate of 28π mm²/sec  ( Option A )

Explanation:

Given the data in the question;

let r be the radius and h be the height of the tube

so volume V = πr²h

dv/dt = πr² dh/dt + 2nrh dr/dt

⇒ 96n = π × 36 × 2 + 2π × 6h dr/dt

⇒ 24π = 12nh dr/dt ⇒ h.dr/dt = 2

Area Surface S = 2nrh

ds/dt = 2π ( r.dh/dt + h.dr/dt )

= 2π ( 6×2 + 2)

= 2π (14)

= 28π

therefore Surface Area is increasing at the rate of 28π mm²/sec ( Option A )

Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED? A. 5 B. 4. 5 C. 4 D. 3. 5 E. 3.

Answers

Answer:

3.5

Explanation:

Which phrase best describes the vapor point of a substance?.

Answers

The phrase which best describes the vapor point of a substance is: the temperature at which additional heat energy causes the substance to change from a liquid to a gas.

A substance can be defined as a particular kind of matter that has uniform or definite properties.

In Science, there are two (2) main types of substance and these include:

An inorganic substanceAn organic substance

The vapor vapor point of a substance refers to the temperature at which an additional quantity of heat energy causes a particular substance to be transformed (change) from a liquid to a gas or vapor.

Read more on vapor point here: https://brainly.com/question/25715915

Use the drop-down menus and your knowledge of suffixes to choose the correct word for each sentence. The searched for artifacts in a field. During the civil war, the country found itself in a state of near. He was when he learned that the director had given the role to another actor.

Answers

Answer:

Explanation:

1-archaeologist

2-anarchy

3-furious

yw :)

He learned that the director had given the role to another actor archaeologist.

What is Civil war?

The American Civil War, commonly referred to by other names, lasted from April 12, 1861, until May 26, 1865. The Union[f] ("the North") and the Confederacy ("the South"), the latter of which was made up of seceding states, engaged in combat.

The conflict over whether to allow slavery to spread into the western regions, creating more slave states, or to forbid it from doing so, which was widely believed to put slavery on the path to eventual extinction, was the main driver of the war.

The election of Abraham Lincoln as president of the United States in 1860 ended years of political contention over slavery because he opposed its spread into the country's western territories.

Therefore, He learned that the director had given the role to another actor archaeologist.

To learn more about Civil war, refer to the link:

https://brainly.com/question/466971

#SPJ7

Ingrid is participating in a relay race. While jogging at 9 km/h, she tosses a relay stick at 16 km/h to her teammate, who is standing still. How fast is the relay stick moving relative to Ingrid? 8 km/h 9 km/h 16 km/h 25 km/h.

Answers

Answer:

16 km/h

Explanation:

The relay stick would have the same velocity relative to Ingrid as the velocity she threw it because she threw it while running 9 km/h and the question asks for how fast it is moving RELATIVE to Ingrid, who also started off moving at 9 km/h.

Sorry if explanation is bad, this one was a bit of head scratcher for me to wrap my head around ig.

The answer is:

16 km/h

What is the formula for calculating kinetic energy? KE = one halfmv2 KE = 2mv2 KE = one halfm2v KE = 2m2v.

Answers

Answer:

the formula for kinetic energy is

KE= 1/2 x m x v^2

Explanation:

i took this like 20 times this year

The formula for calculating kinetic energy is: Kinetic Energy (KE) = 1/2 * mass * velocity^2

In the past, behaviorists were not likely to view cognition as a part of learning because cognition __________. A. Does not affect behavior B. Disproved their theories C. Is unobservable D. Had never been studied Please select the best answer from the choices provided A B C D.

Answers

Answer:

C

Explanation:  

is unobservable

"In the past, behaviorists were not likely to view cognition as a part of learning because cognition is unobservable." Thus, option D is correct.

What is cognition?

Thinking, attention, language, learning, memory, and perception are all examples of cognitive activities that occur in the brain. These processes are not distinct talents; rather, they are a collection of interconnected abilities that enable us to function as healthy adults.

Learning, according to behaviorists, takes place mostly through observation. They thought that a person learns different parts of his or her life through observation. Imitation, modeling, and other forms of observation are all part of the observation process. Experiments on classical conditioning were used by behaviorists to illustrate that behavior is a learned process. Cognition, on the other hand, refers to the mental processes that include comprehension and knowledge.

As a result, Previously, behaviorists were unlikely to consider cognition to be a component of learning, since cognition is a mental process. Hence, option D is correct.

Learn more about cognition here:

https://brainly.com/question/28145471

#SPJ5

Which of the following statements about water policy is true?.

Answers

Answer:

current laws that are in place about water policy would most likely eliminate water quality problems if they were enforced.

Explanation:

Solve x2 – 4x 1 = 0. Mc002-1. Jpg mc002-2. Jpg mc002-3. Jpg mc002-4. Jpg.

Answers

Answer:

Solution

=2±√3

Explanation:

The solution of the given equation x² - 4x + 1 = 0 is;

x = 2 ± √3

We are given;

x² - 4x + 1 = 0

Using quadratic formula we have;

x = [-b ± √b² - 4ac]/2a

where;

a = 1

b = -4

c = 1

Thus;

x = [-(-4) ± √((-4)² - 4(1 * 1)]/2(1)

x = (4 ± √(16 - 4))/2

x = (4 ± √12)/2

x = (4 ± 2√3)/2

x = 2 ± √3

Read more on quadratic equations at; https://brainly.com/question/8649555

What must be the value of x so that lines c and d are parallel lines cut by transversal p? 12 18 81 99.

Answers

Answer:18

Explanation:

The lines c and d are parallel if x = 18.

Hence, option B is correct.

Use the concept of an equation of line defined as:

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

In the figure,

The corresponding angles are (3x + 45)° and 81°

The objective is to find the value such that lines c and d become parallel.

Since we know that,

The sum of angles of parallel lines passing through a common line is 180°,

Therefore,

(3x + 45)° + 81° = 180°

Simplifying like terms,

3x = 54

Divide both sides by 3,

x = 18

Hence,

The required value of x is 18 which is option B.

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

The complete question is:

What must be the value of x so that lines c and d are parallel lines cut by transversal p?

A. 12

B. 18

C. 81

D. 99

Dillon shakes a bottle of oil and vinegar salad dressing. The dressing mixes temporarily, but does not stay mixed. What property of the ingredients makes them separate? the oil and vinegar have the same solubility. The oil and vinegar have different temperatures. The oil and vinegar have different chemical properties. The oil and vinegar have the same saturation.

Answers

Most times, some ingredient cannot be combined together. The property of the ingredients makes them separate is that the oil and vinegar have different chemical properties.

Note that even if you try very hard to shake, stir oil and vinegar together, they will separate.

Solubility aimed to be the ability of one substance to dissolve in another. This is because vinegar and oil are made of very different types of molecules that are attracted to their own kind.

Learn more from

https://brainly.com/question/9511241

Answer:

C: The oil and vinegar have different chemical properties.

Explanation:

i gotchu bro :)

Other Questions
Mrs. Beatty reached____ a pile of papers and pulled out a large, gold star Objects 1 and 2 attract each other with a gravitational force of 179 units. If the distance separating objects 1 and 2 is changed to four times the original value (i.e., quadrupled), then the new gravitational force will be ______ units. The fundamental problem with the option ARM loan, as most commonly used, was that it created a rapid increase in the: SOMEONE WHO ACTUALLY KNOW HOW TO DO THIS PLEASE DO IT AND SEND A SCREENSHOT I REALLY NEED IT FOR MY EXAMS AND DONT TROLL A ________ pools individual investor dollars and invests them in large numbers of well-diversified securities, thus minimizing the risks of any single security that does not do well. compare and contrast an immigrant and a refugee. If the simple interest on $1000 for 2 years is $100, then what is the interest rate? Unscramble each set of words to make a complete sentence 1. De/ yo/ Far Rockaway / soy / 2. Jugo/ mi/gusta / beber/me / al a /guitarra/ la / tocar/ gusta/ Paco /le/ f el / favorito/es/deporte/ftbol/mi a/jugar/ le / basquetbol / Brandon/ gusta/. Describe the following A rock excerts a pressure of 20 N/cm^2 on the ground. what does 20N/cm^2 mean?A force of __________ acts on each _________ of area Two cars A and B are moving along a straight road in the OPPOSITE direction with velocities of 25 km/h and 40 km/h, respectively. Find the velocity of car B relative to car Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.Group of answer choices(5, 1)(1, 2)(5, 1)(10, 6) The movement of water across cellular membranes through aquaporins is known as?(1 point)endocytosisactive transportsimple diffusionosmosis A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?HELP PLSSS !!! please help me with this In arbitration, what do leaders of the labor union and the representatives of company management agree to? Which passage below from Twain's "The Californian's Tale" shows foreshadowing? A. Sec. 23: The Thursday followed and slipped comfortably away. B. Sec. 23: That night we smoked the tranquil pipe, and talked till late about various things. C. Sec. 21: I heard the words but hardly noticed them; I was deep in my thinkings and strugglings. leopard has canine teeth because What is the Definition of Tenure? An equilateral triangle and a rectangle have the same perimeter. How do you find the side lengths of the equilateral triangle and the rectangle?