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
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Which of the following statements about water policy is true?.
Answer:
current laws that are in place about water policy would most likely eliminate water quality problems if they were enforced.
Explanation:
How was your breathing 5 minute walking around home.
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.
Answer:
the correct answer is false
Explanation:
Answer:
False
Explanation:
on edge
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.
Answer:
a
Explanation:
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.
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:
What is the main purpose of the concluding paragraph.
Answer:
to summarize, wrap up and put a end to a text or essay.
Explanation:
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!.
Answer:
i dont know how to say it
Explanation:
Which of the following is not a special feature of the foreign exchange rate market.
Answer:
facilitate currency conversion
A tube is being stretched while maintaining its cylindrical shape.
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 )
An example of a mineral made up of a pure element is.
Why does the husband not force the door open?
Answer:
I don't understand your question..
Explanation:
What movie or story is this for?
Which detective seems to have more clues about solving the case? Bolsa Sancho.
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.
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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.
Answer:
3.5
Explanation:
Ejemplos de analogías simétricas
Answer:
sorry i dont know the answer
Explanation:
very sorry
When a positive charge is released and moves along an electric field line.
what does it mean expalin it
Which of the following is true if δesys = - 115 j?.
Answer:
115 j
is true
Explanation:
Thats the true
What is the ratio of the area of ABC to the area of ABD? A. B. C. D.
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.
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The question is incomplete. Your most probably complete question is given below:
A. 6/12
B. 9/16
C. 8/16
D. 7/8
What is the formula for calculating kinetic energy? KE = one halfmv2 KE = 2mv2 KE = one halfm2v KE = 2m2v.
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
What must be the value of x so that lines c and d are parallel lines cut by transversal p? 12 18 81 99.
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.
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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
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.
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.
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Which phrase best describes the vapor point of a substance?.
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 substanceThe 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.
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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.
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.
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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.
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.
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Solve x2 – 4x 1 = 0. Mc002-1. Jpg mc002-2. Jpg mc002-3. Jpg mc002-4. Jpg.
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
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A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) which statement about (2x – 3)(5x + 9) is true?.
Answer:
b.
Explanation:
Answer:
B
Explanation:
i took the test
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.
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.
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Answer:
C: The oil and vinegar have different chemical properties.
Explanation:
i gotchu bro :)
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.
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
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.
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/hPayton 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.
Answer:
-4.5
Explanation:
In your opinion, which phrase describes society today?
Answer:
an expansion of growth and maturity but also deforming backwords in a way
Answer: very simple
Explanation: I just did it