The geometric series would have a uniform common ratio
The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
How to determine the geometric series?Assume the geometric sequence is given as:
128,32,8,2
And the question requires the recursive definition of the geometric series
Start by calculating the common ratio (r)
[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
Substitute 2 for n
[tex]r = \frac{a_2}{a_1}[/tex]
Substitute known values
[tex]r = \frac{128}{32}[/tex]
Evaluate the quotient
[tex]r = 4[/tex]
Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]
Cross multiply
[tex]a_n = 4a_{n-1}[/tex]
Hence, the recursive definition of the geometric series is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
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A tax for which high-income and low-income taxpayers pay the same fraction of income
Answer:
the impacts of the above systems on either high or low income earners may be different. proportional tax which is related to the above-mentioned case can also be referred as flat tax . the impacts of regressive taxes on wealthy people as compared to lower-income people is greater.
All of the following are included in the heading of an income statement except:
Answer:
the header of the income statement.
income statement
business name
the dates of the accounting period that the income statement will cover.
Six performers are to present their musical numbers in an auditorium. one of the performers requested to be the last act. in how many ways can the performances be arranged if the request was granted?
The numbers of ways that the performances can be arranged if the request was granted is 120 ways.
What is performances?The term performance is a term that can be countable or uncountable in nature. Note that to calculate the performance, since it is 6, one has to times from 5 to 1:
5*4*3*2*1=20*6=120
So, the request can be granted is 120 ways.
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How many revolutions does the smaller gear complete during a single revolution of the larger gear?
Answer:
As the small gear rolls along the circumference of the large gear, the shaft of the small gear completes 30/15 = 2 rotations for every 1 rotation of the large gear shaft. This is called a gear reduction of 1:2. I hope this helps.
Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 444 packs. suppose that each pack has probability 0.20.20, point, 2 of containing the card hugo is hoping for. let the random variable xxx be the number of packs of cards hugo buys. here is the probability distribution for xxx:
Considering the given discrete probability distribution, it is found that there is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.
What is the discrete probability distribution?Researching on the internet, it is found that the discrete probability distribution for the number of packs that Hugo buys is given by:
P(X = 1) = 0.2.P(X = 2) = 0.16.P(X = 3) = 0.128.P(X = 4) = 0.512.The probability that he buys fewer than 3 packs is given by:
P(X < 3) = P(X = 1) + P(X = 2).
Hence:
P(X < 3) = P(X = 1) + P(X = 2) = 0.2 + 0.16 = 0.36.
There is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.
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Answer:
0.64
Explanation:
I run a book club with $n$ people, not including myself. every day, for $365$ days, i invite three members in the club to review a book. what is the smallest positive integer $n$ so that i can avoid ever having the exact same group of three members over all $365$ days?
The smallest positive integer n so that you can avoid ever having the exact same group of three members over all 365 days is; 11
How to solve probability combination?
if we have n people and we want to do groups of 5, the total number of different combinations is:
ⁿC₅ = n!/((n - 5)!5!)
By using the Brute force method, we have;
If n = 5,
c = 5,
Thus;
C₅ = 5
If n = 6,
c = 6,
Thus;
C₅ = 6
If n = 7,
c = 7,
Thus
C₅ = 21
If n = 8,
c = 8,
Then;
C₅ = 56
Now, If n = 9,
C = 9!/((9 - 5)!5!)
C = 126
We want to find the smallest n such that c > 365. Thus, C = 126 is too small.
Let's try n = 11;
C = 11!/(6! * 5!) = 462
This is greater than 365 and so we need at least 11 members in the club.
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A driver of a 1 000 kg jeepney travelling at a speed of 16,7 m/s bound for divisoria applies the car's brakes when he sees a red light along recto avenue. the car's brakes provide a frictional force of 8 000 n. determine the stopping distance of the car.
The stopping Distance of the Car with the given parameters is; 17.43 m
What is the stopping sight distance?
We are given;
mass; m = 1 000 kg
speed; u = 16.7 m/s
Frictional force; F = 8000 N
distance, s = ?
final velocity = 0 m/s (car stops)
Formula for final velocity is;
v² = u² + 2as
but a = negative (deceleration)
And F = ma
Thus;
a = F/m = 8000/1000
a = 8 m/s²
Thus;
0 = (16.7)² - 2(8)(s)
278.89 = 16s
s = 17.43 m
Stopping distance = 17.43 m
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Rebello's preferred stock pays a dividend of $1.00 per quarter, and it sells for $55.00 per share. what is its effective annual (not nominal) rate of return?
Assuming it sells for $55.00 per share. Its effective annual (not nominal) rate of return is 7.47%.
Effective annual rate of returnUsing this formula
Effective annual rate of return=[1+(Preferred quarterly dividend+Preferred stock price]^Periods per year-1
Where:
Periods per year =4
Preferred quarterly dividend=$1.00
Preferred stock price=$55.00
Let plug in the formula
Effective annual rate of return = [1+ ($1.00/$55.00)]^4 - 1
Effective annual rate of return=(1+0.018181818)^4-1
Effective annual rate of return=(1.018181818)^4-1
Effective annual rate of return =1.0747-1
Effective annual rate of return =0.0747×100
Effective annual rate of return = 7.47%
Therefore the Effective annual rate of return will be 7.47%.
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Find the output, bbb, when the input, aaa, is 666. b = -1-7ab=−1−7a
The output of the given algebra b = -1 - 7a with the given input of a = 6 is calculated to be; b = -43
How to solve basic algebra?We are given the algebra;
b = -1 - 7a
where;
a is the input
b is the output
Now, we are given the value of the input to be a = 6
Thus, output is calculated as;
b = -1 - 7(6)
b = -1 - 42
b = -43
Thus, the output of the given algebra with the given input is -43.
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Answer:the answer is B
Explanation:
which of the following incorrectly matches an embryonic structure with its function?
Answer:
yok sac/provides nutrients to developing embryo
Choose the best spanish equivalent to the phrase. El profesor termina su ____ (4th) año de estudios. Novena quinto cuarto segundo
Answer:
El profesor termina su cuarto año de estudios.
Explanation:
The teacher finishes his fourth (4th) year of studies. So, the correct option is C.
What is Study?Study is the act of learning something new or gaining knowledge through instruction, research, or reading. It usually entails making a concentrated and deliberate effort to comprehend and retain knowledge, frequently with the aim of reaching a certain academic or professional conclusion.
There are several ways to learn, including reading, making notes, watching lectures, practicing using exercises or issues, and participating in group projects or discussions. Although it is frequently connected to formal education, it can also be done privately or informally and is a crucial aspect of the learning process.
Studying is crucial for personal skill development in addition to educational advancement. Your confidence, skill, and self-esteem can all be increased by having effective study techniques. Additionally, it aids in lowering tension and worry related to tests and deadlines.
So, the correct option is C.
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#SPJ5
Your question is in Spanish, but the English translation is most likely:
Choose the best Spanish equivalent to the phrase. The teacher finishes his ____ (4th) year of studies.
ninth fifth fourth secondAccording to roosevelt, what was the true goal of the new deal? to rebuild the us to restore us values to remind people of the us how to work
According to Franklin Delano Roosevelt, the true goal of the New Deal is: B. to restore US (American) values.
Who is Roosevelt?Franklin Delano Roosevelt was an American politician and statesman who was elected to serve as the 32nd President of the United States of America in 1933. Also, he was born on the 30th of January, 1882 in Hyde Park, New York, United States of America.
What is the New Deal?The New Deal was a collection of government reform programs that were established by President Franklin Delano Roosevelt between 1933 and 1939 in the United States of America so as achieve the following:
Boost the economy.Guard against economic disasters.Provide employment opportunities for the people.In conclusion, we can deduce that in accordance with Franklin Delano Roosevelt, the true goal of the New Deal is to restore US (American) values.
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Answer:
B. to restore US values
Explanation:
Edge 2022
Read this passage from when birds get flu and cows go mad! by john diconsiglio. Hughes was assigned to find infected cow parts at meat processing plants in washington. He remembers the sad look on some owners’ faces when he flashed his badge. If there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. And there was nothing they could do about it," hughes says. The tone in this passage most suggests that hughes is caring. Dedicated. Tense. Focused
The tone of the author in this passage from "When the birds get flu" can be described as caring.
What is the tone?This refers to the general attitude of the author in a text when referring to the subject or topic the author describes. For example, a text about the pandemic might have a pessimistic or optimistic tone.
What is the tone in the excerpt?This excerpt shows a rather caring tone, this is because the author seems to worry about the negative impact of the mad cow disease on farmers. This can be seen in excerpts such as:
"the sad look on some owners’ faces""the business they built from scratch was destroyedLearn more about tone in: https://brainly.com/question/1416982
Answer:
a - caring
Explanation:
When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has
Answer:
an should be there isn't it
How to prepare for the ap calculus advanced placement examination
Answer:
Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.
Answer:
Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.
Explanation:
A train leaves boston and travels toward its destination
Answer:
i think it is 4mph
Explanation:
4. 1 1 describe two ways how social media platforms are abused
Hi, here are the ways social media platform are abused:
Sends you unwanted, explicit pictures and demands you send some in return. Pressures you to send explicit videos.
Hope this helps! Please correct me if I am wrong.
Which quotations show foreshadowing? check all that apply. ""if you don’t want it . . . give it to me."" ""i threw it on the fire."" ""don’t blame me for what happens."" ""hold it up in your right hand."" ""i warn you of the consequences.""
Answer:
"Don't blame me for what happens"
"I warn you of the consequences"
Explanation:
Hope it helps
A) how can cells from a single plant have different characteristics?
How does housman use the structure of the poem to create surprise?
Twelve identical point charges q are equally spaced around the circumference of a circle of radius r. the circle is centered at the origin. one of the twelve charges, which happens to be on the positive x axis, is now moved to the center of the circle.
There is only one net force acting on the charge at the center of the circle that will only be subjected to a repulsive force from the charge is extant on the negative axis of x.
What is a line charge?A line charge refers to the charge that is allocated along a curve that is one dimensional in nature such as a circle.
In physics experiments, line charges are used in wire chambers. Wire chambers are used for high-energy physics experiments.
In summary, the charges are put at equal distances around the circumference of the circle in the example.
Because the charges at the opposing ends of the circle are similar, they exert an equal-magnitude repelling force in the opposite direction on the charge at the center of the circle, thus balancing out the forces.
This is why there is only one net force acting on the charge at the center of the circle that will only be subjected to a repulsive force from the charge is extant on the negative axis of x.
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What is the slope of the line that passes through the points (6,2) and (4,10)?
a team of programmers is designing software. one portion of the project presents a problem for which there is not an obvious solution. after some research, the team determines that the problem is undecidable. which of the following best explains the consequence of the problem being undecidable?
The option that best explains the consequence of the problem being undecidable is there is no possible algorithm that can be used to solve all instances of the problem.
What does it imply if a problem is undecidable?An undecidable problem is known to be a kind of problem where people or a person does not know if a "yes" or "no" answer, will be the most appropriate.
In the above context, when a response is undecided, it can lead to no possible algorithm that can be employed in the handling of all cases regarding all issues of the problem.
See options below
A. The problem can be solved algorithmically, but it will require an unreasonably long amount of time.
B. The problem can be solved algorithmically, but it will require an unreasonably large amount of data storage.
C. There is no possible algorithm that can be used to solve all instances of the problem.
D. There are several different possible algorithms that can solve the problem, but there is controversy about which is the most efficient.
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How can 100. ml of sodium hydroxide solution with a ph of 13.00 be converted to a sodium hydroxide solution with a ph of 12.00 ?
The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.
What is pH?The pH refers to the degree of acidity or alkalinity of solution. We can obtain the concentration of each solution from the pH as follows;
At pH = 13;
[OH^-] = Antilog (-13) = 1 * 10^-13 M
At pH 12
[OH^-] = Antilog (-12) = 1 * 10^-12 M
Using the formula;
C1V1 =C2V2
1 * 10^-13 M * 100 mL = 1 * 10^-12 M * VmL
VmL = 1 * 10^-13 M * 100 mL/1 * 10^-12 M
VmL = 10mL
The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.
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In air, a sound wave with a frequency of 196 hz has a wavelength of about 1.76 meters. what is the wavelength of a wave if the frequency is increased to 784 hz?
The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
Wavelength
Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
[tex]\lambda = \frac{v}{f}[/tex]
Where v is velocity and f is frequency.
Given the data in the question;
Frequency of sound wave a; [tex]f_a = 196Hz = 196s^{-1}[/tex]Wavelength of sound wave a; [tex]\lambda _a = 1.76m[/tex]Speed of sound wave; [tex]v =\ ?[/tex]
Frequency of sound wave b; [tex]f_b = 784Hz = 784s^{-1}[/tex]Wavelength of sound wave b; [tex]\lambda _b = ?[/tex]
First, we calculate the velocity of the sound wave in air from sound wave a.
[tex]\lambda = \frac{v}{f}\\ \\1.76m= \frac{v}{196s^{-1}}\\\\v = 1.76m * 196s^{-1}\\\\v = 344.96m/s[/tex]
Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.
[tex]\lambda = \frac{v}{f}\\ \\\lambda = \frac{344.96m/s}{784s^{-1}}\\\\\lambda = 0.44m[/tex]
Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
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Answer:
It decreases by 1.32 meters.
Explanation:
The other person was wrong.
Why should Christians fight against spread of devil worship in the society
Christians fight against spread of devil worship because they believed the devil is the one who makes people to do bad/evil thing and when he is worshipped, the devil will have more power to oppress and control people.
What is devil worship?Theistic Satanism is known to be a Religious belief that is often called religious Satanism, spiritual Satanism, etc.
It is known as the body of people or groups that sees Satan to be an their god and as such the bible states that the work of Satan is to do evil and separate man from God. Christians are against the worship of a being who leads others to eternal doom and to do evil.
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how many feet will it take you to stop from 60 mph
True or false: person vs. self is the only internal conflict.
the ans for this is true as it i the only internal struggle
In addition to deep sea organisms, there are many species found throughout the ocean. the numbers and relative proportions of bacteria and archaea change with depth in response to changing conditions. viruses that infect the prokaryotic organisms play a variety of important roles in this habitat, including control of their overall numbers and facilitation of horizontal gene transfer. choose whether each statement best describes bacteria, archaea, or viruses.
The statements are not found in the question but it is important to highlight that viruses are not living forms and bacteria and archaea are prokaryotic organisms.
What are prokaryotic organisms?Prokaryotic organisms such as bacteria and Archaea are simpler forms of life that lack a cell nucleus and membrane-bound organelles.
Viruses are not living things because they need a suitable host to survive (i.e., viruses are replicative entities).
Some characteristics of Archaea include:
Most Archaea that live below 1000 m are ammonia oxidizers.They increase to 50% of prokaryotes below 1000 m.The major phylum below 1000 m is Thaumarchaeota.Learn more about prokaryotic organisms here:
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Write the expression for the solubility-constant for hydroxyapatite
An expression for the Ksp for hydroxyapatite would be written as follows:
Ksp = [tex][(Ca^{++})^5][OH^{-}][(PO_4)^3][/tex]
What is solubility constant?In Chemistry, the solubility product constant (Ksp) can be defined as the equilibrium constant that describes a solid substance (solute) which is being dissolved in an aqueous solution.
This ultimately implies that, Ksp is typically used in chemistry to denote an equilibrium level at which a solute dissolves in an aqueous solution.
Mathematically, an expression to represent the solubility product constant (Ksp) for hydroxyapatite is written as follows:
Ksp = [tex][(Ca^{++})^5][OH^{-}][(PO_4)^3][/tex]
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