Determine whether f is an exponential function of x. if so, find the constant ratio
Answers
The constant ratio of the function f is its growth rate
The function f is an exponential function with a constant ratio of 2
How to determine if the function is an exponential function?To do this, we simply divide the consecutive function values
From the complete question (see attachment for the table), we have:
f(-1) = 1/4
f(0) = 1/2
f(1) = 1
f(2) = 2
Divide the function values to get the ratio, r
r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)
This gives
r = 2/1 = 1 / 1/2 = 1/2 / 1/4
Evaluate the quotients
r = 2 = 2 = 2
The value of r is the same for the three quotients.
Hence, the function f is an exponential function with a constant ratio of 2
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Related Questions
Evaluate the expression under the given conditions. cos(2theta); sin(theta) = − 5 13 , theta in quadrant iii
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The value of the given trigonometric expression which is cos 2θ under the 3rd quadrant is; -119/169
What is the value of the trigoneometric ratio?We are given the trigonometric ratio;
sin θ = -⁵/₁₃
From trigonometric identities, we know that;
cos 2θ = 1 - 2sin²θ
Thus;
cos 2θ = 1 - 2(-⁵/₁₃)²
cos 2θ = 1 - 2(25/169)
cos 2θ = 119/169
since cos θ is negative in the third quadrant, then we have;l
cos 2θ = -119/169
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what does this part of the soliloquy reveal about hamlet?
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Answer:What does this part of the soliloquy reveal about Hamlet? He still loves Ophelia. He believes the ghost was real. He is planning his revenge.
Explanation:
Read the article and use the information to answer the following questions. female reproductive system how is the reproductive system different from other body systems?
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The function of the female reproductive system is to promote fertilization and serve as a container for the new individual until the end of its gestation.
What is the female reproductive system?It is in charge of physically and biochemically promoting the encounter between the sperm and the ovules generated by a female.
This union occurs in the uterus and, once the cells have been fertilized, a zygote is generated which, after nine months of growth, will become a new human individual.
Therefore, we can conclude that the female reproductive system differs from other body systems since it allows the fertilization of the ovum, pregnancy and the birth of a new individual.
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Answer:
Most body systems are necessary to keep an individual alive.
Unlike other body systems, the reproductive system is not essential to keep an individual alive.
Explanation:
:) <3
Lisa flipped the same coin 3 times. what is the probability she obtained all tails?
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Answer:
The probability is 1 in 8
Explanation:
Which sentence best explains the speaker’s reaction to the nightingale’s song at the beginning of ""ode to a nightingale""?
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The sentence that best explains the speaker’s reaction is; D: When he dies, he will no longer be able to hear the song of the nightingale.
What is the Speakers reaction?The speaker envisions what might occur after the snapshot of his demise. This means that the feathered creature would continue singing as though nothing had occurred.
The speaker would at present have "ears," obviously: or if nothing else. his cadaver would. This implies that the ears would be pointless due to the fact that there is no cerebrum to process the sounds.
The feathered creature would be then singing a requiem a sort of chapel gathering with music sung for a dead individual.
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Physicists estimate that the number of stars in the universe
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drag the labels to the appropriate location in the figure.
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The answers to the labels in their appropriate location are:
HydrophilicHdrophobicTail face downTail face upHydrophilicHydrophobicHydrophilicWhat is hydrophilic?The term hydrophilic is known to be a term that connote the ability of an organism or object to be attracted to water.
It is also said to be the ability of a substance to be able to easily dissolve in, or be mix up and saturated by water. They are substance or objects that do interact with or are known to be influenced by water.
See full question below
Drag the labels to their appropriate locations in the figure.
First, drag labels to targets (a) and (b) to indicate whether these environments are hydrophilic or hydrophobic.
Next, drag the phospholipid layers to targets (c) and (d) to indicate how they are oriented in the plasma membrane.
Finally, drag labels to targets (e), (f), and (g) to indicate which portions of the membrane protein are hydrophilic and which are hydrophobic.
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What kind of trapezoid can be inscribed in a circle
Answers
Answer:
Tangential trapezoid
Explanation:
hope this helped :)
The outline for a strong compare-and-contrast essay must include an evaluation of each editorial’s argument. a detailed summary of each editorial. responses to all counterarguments. a conclusion written in full sentences.
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Answer:
An evaluation of each editorial's argument
Explanation:
just took the test
Answer: A
Explanation. :(an evaluation of each editorial’s argument.
for a repressible operon to be transcribed, which of the following must occur?
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Answer:
For transcription, RNA polymerase should bind to the promoter, then only mRNA will be formed. Repressible operon is exhibited by tryptophan. This operon is normally turned ON, because the
Explanation:
which of the following types of drugs would not be appropriate for a patient with chronic asthma?
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An asthmatic patient is a patient whose medical condition is termed asthma
Drugs a patient with chronic asthma should avoidThe asthma condition causes the patient the following medical conditions:
CoughDifficulty in breathingWheezingA patient with a chronic asthma must avoid drugs that can aggravate the above conditions.
Some of these drugs are:
Aspirin.PainkillersNon-steroidal anti-inflammatory drugsRead more about medical solutions at:
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A set of stairs leading to the entrance of a building is designed in the shape of an isosceles trapezoid with the longer base at the bottom of the stairs and the shorter base at the top. If the bottom of the stairs is 21 feet wide and the top is 14 feet wide, find the width of the stairs halfway to the top
Answers
Answer:
17.5
Explanation:
have to find the midsegment of the rhombus.
A spool is on a horizontal surface (with friction) and pulled to the right with a thread attached to the center of the spool, so that the spool rolls without slipping. the spool has a mass of m, moment of inertia i, and a radius of r
Answers
The relationship between the magnitude of the force of tension and the force of friction is; Ff = (r/R)Ft
What is Rotational Acceleration?We are given;
mass of spool = M
Radius = R
moment of inertia = I.
Now, the spool is not moving and as such;
r < R which means there is net torque = 0
Thus;
Ff × R = Ft × r
>> Ff = (r/R)Ft
Finally, the angular acceleration is expressed as;
α = a/R
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Which mathematical word describes both 27 x and 6 x in the expression 27 x + 6 x ?
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Monitoring progress and modeling with mathematics algebra 1 answers
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An example of Monitoring progress and modeling with mathematics algebra is solve the Linear Equations of x − 3 = -5.
What is Progress monitoring?In project management, progress monitoring is known to be the act of forming project plans, setting goals and systematically analyzing results to known the progress of the project. This can also be done through the use of mathematical functions.
The Linear Equations of x − 3 = -5.
x = -5 + 3
x = -2
Therefore, the answer is -2.
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Nico has conducted an observational study to learn about how different personal experiences affect car purchases. nico surveyed 300 new car buyers at the auto mall and found that 75% of the buyers were shopping for the same model of a car they have owned before. what conclusion can nico make from his study?
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The conclusion of the given study is that; There may be a link between .... but he cannot draw a cause-and-effect conclusion from an observational study.
What is the conclusion of the study?We are told that;
Number of new cars Nico surveyed = 300
Percentage of buyers that surveyed the new cars = 75% .
Thus, number of customers surveying this cars = 75% * 300 = 225 customers
If people are satisfied with their car's current company and brand and model,it means that they can also prefer the same thing again for the same better experience. Thus, the conclusion is that;
There may be a link between owning a model of a car and buying that model again, but he cannot draw a cause-and-effect conclusion from an observational study.
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Lesson 16.2 modeling exponential growth and decay answer key
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A n example of Lesson 16.2 modeling exponential growth and decay is find out if y =5(2)ˣ is exponential growth or decay.
How do you know an exponential growth or decay?One can know if a function is an exponential growth or decay when it has a as positive and b is said to be greater than 1 (to be exponential growth).
If a is said to be positive and b is said to be lower than 1 but when it is also greater than 0, we can say that it is an exponential decay.
From the above, y =5(2)ˣ is an exponential growth because the base is said to be greater than 1 and the exponent contain a positive notation.
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classify these salts as acidic, basic, or neutral.
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Question 1 with 2 blanks (conocer) ricardo y juan 1 of 2 a cristina el año pasado. los gonzález 2 of 2 en un viaje por europa. question 2 with 2 blanks (saludar) los chicos 1 of 2 cuando llegaron al restaurante. la camarera 2 of 2 a los chicos cuando les trajo el menú. question 3 with 2 blanks (ayudar) las enfermeras 1 of 2 al paciente a levantarse. los niños 2 of 2 para terminar la tarea más temprano. question 4 with 2 blanks (ver) los mecánicos 1 of 2 los coches descompuestos. el profesor y los estudiantes 2 of 2 por primera vez en clase.
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The appropriate verbs to complete the sentences are: conocieron, se conocieron; se saludaron, saludó; ayudaron, se ayudaron; vieron, se vieron.
How to conjugate verbs properly?To conjugate the verbs properly according to the meaning of the sentences, we must take into account the subject and the verb tense of each sentence.
According to the above, we can infer that the sentences are in the past tense, so the verbs should be conjugated in the past tense. On the other hand, the subjects of these sentences vary as shown below:
1. Ricardo y Juan (ellos, they) conocieron
2. Los gonzalez (ellos, they) se conocieron
3. Los chicos (ellos, they) se saludaron
4. La camarera (ella, she) saludó
5. Las enfermeras (ellas, they) ayudaron
6. Los niños (ellos, they) se ayudaron
7. Los mecánicos (ellos, they) vieron
8. El profesor y los estudiantes (ellos, they) se vieron
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The climate in northern alaska suddenly changes from a very cold climate to a warm climate. Two species of wolves live in this area. Species x has long fur and doesn't shed to regulate internal temperature. Species y has short fur and sheds to regulate internal temperature. Which species is most likely to survive this climate change?
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Answer:
Both species will survive because they have fur to help maintain constant internal temperatures.
Explanation:
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On the map 5th ave. 6th ave. and 7th ave. are parallel
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The length of Main St. between 5th Ave. and 6th Ave Round to the nearest hundredth is; 0.24 km
How to use triangle proportionality theorem?From the image attached, we are given that 5th Avenue is parallel to 6th avenue.
Now, Let the length of main street between 5th and 6th Avenue be x.
By using the triangle proportionality theorem, we have;
0.4/x = 0.5/0.3
Thus;
x = (0.4 * 0.3)/0.5
x = 0.24 km
In conclusion, the length of street is 0.24 km
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What can be concluded from the audio? the prince believed the story to be true. the prince’s troops overtook the tower. the princess’ story was untrue. the princess was awake most nights.
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There are different kinds of audio message. What can be concluded from the audio is that the prince’s troops overtook the tower.
What is an audio message?There are a lot of audio messages that are often used in communications. Audio message entails speaking through a phone so as to send a voice message to one's friends or family.
One can also use a recorder to record messages. The option that could be concluded from the audio is that the prince’s troops overtook the tower.
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Answer: The prince believed the story to be true.
Explanation: I took the test and got it right
Given that the molar mass of nacl is 58.44 g/mol, what is the molarity of a solution that contains 87.75 g of nacl in 500. ml of solution? use molarity equals startfraction moles of solute over liters of solution endfraction.. 0.333 m 0.751 m 1.50 m 3.00 m
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The molarity of the solution that contains 87.75 g of NaCl in 500 mL of the solution is 3 M
What is molarity?This is defined as the mole of solute per unit litre of solution. Mathematically, it can be expressed as:
Molarity = mole / Volume
How to determine the mole of NaCl Mass of NaCl = 87.75 g ofMolar mass of NaCl = 23 + 35.5 = 58.5 g/mol Mole of NaCl =?Mole = mass / molar mass
Mole of NaCl = 87.75 / 58.5
Mole of NaCl = 1.5 mole
How to determine the molarity Mole of NaCl = 1.5 mole Volume = 500 mL = 500 / 1000 = 0.5 L Molarity =?Molarity = mole / Volume
Molarity = 1.5 / 0.5
Molarity = 3 M
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Answer:
i think its d
Explanation:
eez nuts
It is generally believed that nearsightedness affects about % of children in a certain region. a school district tests the vision of incoming kindergarten children. how many would be expected to be nearsighted? what is the standard deviation for the number of nearsighted children in this group?
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Find the exact volume of this cylinder in terms of π. refer to your staar 8th grade math reference sheet for the appropriate formula. question 1 options: 45π cm3 90π cm3 225π cm3 900π cm3
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The exact volume of the given cylinder with a height of 9cm and a diameter of 10 cm is; 225π cm³
What is the volume of the cylinder?We are given;
height of cylinder; h = 9 cm
diameter of cylinder; d = 10 cm
Thus, radius; r = d/2 = 10/2 = 5 cm
Formula for volume of a cylinder is;
V = πr²h
V = π * 5² * 9
V = 225π cm³
In conclusion, the volume of the cylinder is 225π cm³
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Mr. red's first year salary is $30,000 and it increases by $500 each year. what is the explicit rule for this sequence in simplified form?
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The explicit rule to describe the behaviour of the salary is given as
Nth Year Salary = 30,000+ 500n
Word ProblemGiven Data
First year Salary = $30,000Yearly Increase = $500Let the number of years be n
Hence the explicit rule for this scenario is given bellow as
Nth Year Salary = 30,000+ 500^n
So for the first year n = 1 the salaary
Nth Year Salary = 30,000+ 500n
Nth Year Salary = 30,500
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Introduction to linear algebra 5th edition solution
Answers
Answer:
Whats your question?
What do you need help on?
I took algebra a while ago so I may be able to help you
Explanation:
Why do molecules have the most variation in their properties
Answers
Answer:
Timing and energy are also factors in isomerism. Molecules are mobile entities, undergoing all sorts of rotational motions that change their shapes, and those motions require energy. Thus, some molecules can be the same on one timescale or set of energy conditions but different, or isomeric, on others.
Explanation:
Molecules are mobile entities, undergoing all sorts of rotational motions that change their shapes, and those motions require energy.
In the passage, pope uses parallelism in the line "and to their proper operation still." antithesis in the line "ascribe all good; to their improper, ill." parallelism in the line "self-love, the spring of motion, acts the soul." antithesis in the line "reason’s comparing balance rules the whole."
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In the passage, pope uses parallelism to show Antithesis in the line “Ascribe all Good; to their improper, Ill.”
What is Parallelism?This is a term that is often called parallel structure. It is when a phrases in a sentence is said to be familiar or when they are said to have the same grammatical structure.
Note that In the passage, pope uses parallelism to show Antithesis in the line “Ascribe all Good; to their improper, Ill.” as he wanted them to see what he is trying to convey.
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Lesson 6.1 identifying and representing functions answer key go math
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An example of Lesson 6.1 identifying and representing functions is Complete the table. write a rule as an algebraic expression for the output, then complete the last row of the table using the rule.
What are functions?In mathematics, a function is known to be the link or the relation that exist between a set of inputs and a set of other outputs.
The answer to the table is in the image attached. The solution is given below:
Note that the number of pages per minute:
= 1/2 = 0.5
Total cost = 0.5x
And x is the number of minutes.
x = 0.5x
30 = 0.5(30)
= 15
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