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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8-5 skills practice using the distributive property page 33
This exercise refers to the explanation of what distributive property is especially in relationship to addends.
What is distributive property?The process of obtaining the product of the addition of two or more addends by a figure that gives the same result as multiplying each addend individually by that figure and then adding their products together is referred to as distributive property.
How is Distributive Property Applied?A great example of distributive property is given below:
When asked for the answer of 5 (6 +1), applying distributive property, we have:
5(6+1) = 5 x 6 + 5 X 1 = 35.
Note that the 5 outside the bracket is used to multiply everything inside the bracket, hence the effect of Distributive Properties.
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if an adult human suffered a traumatic injury, could their notochord be damaged?
Answer:
Yes; because the notochord is deep within the body only a severe injury could damage it.
Explanation:
If the triangle is equilateral then it is equiangular brainly
Answer:
Always true
Explanation:
An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.
Hope my answer helped :)
what number do u see
Answer:
4628 or 4528
Explanation:
I wear glasses
How many edges does a tree with 10,000 vertices have?
High student loan payments can impact all of the following life decisions except _____.
High student loan payments can affect many decisions but not the decision of getting married.
What are the effects of high student loan payments?High student loan payments mainly affect the money people have every month after paying the loan. This factor can affect money-related decisions such as:
The money they can spend on food, housing, clothing, etc.The possibility of buying a house or a car.The amount of money they can save.What life decisions are not affected?Decisions that are not directly related to money such as getting married are not affected by high loan payments.
Note: This question is incomplete because the options are missing; here is the missing section:
a)getting married
b)buying a car
c)being able to afford food
d)buying a house
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Currently, the rooftop solar panels produce only a fraction of the electricity used in the buildings on which they are installed. which of following strategies would best combat the problem of insufficient electricity generation from the rooftop solar panels?
The strategies that would best combat the problem is: Installing active solar energy on unshaded rooftop space and placing them to face south.
What is solar panel?Solar panel can be defined as a panel that help to provide electricity by making use of sunlight as energy.
Based on the given scenario the best strategies to overcome the problem is to install the active solar energy systems on unshaded rooftop space and to as well position the solar energy to face south.
Inconclusion install active solar energy on unshaded rooftop space.
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At its current level of output, a firm’s total revenue is greater than its total variable cost but less than its total cost. if the firm is producing at the point where marginal revenue is equal to marginal cost, what should the firm do to maximize profit in the short run?
In order to maximize profit in the short run; Company is to continue operating at that output level in the short term, since total revenue will cover all of the firm's variable costs and some of its fixed costs.
How to maximize profit?Every firm in the market operates with the primary aim of making profit, which is different from the government that has a primary aim of creating welfare for the people. Thus, a profit-maximizing level of output is determined at the point where marginal revenue (MR) equals marginal cost (MC).
Finally, In order to maximize profit in the short run what the company should do is to continue operating at that output level in the short term, since total revenue will cover all of the firm's variable costs and some of its fixed costs.
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help pls hurry time ticking hurry plsssssssssss
Answer:
option 1
Explanation:
cuz and open circle means a greater than or less sign and the down shaded part means 22 is greater
hope it helps :D
Answer:
The answer is C
Explanation:
It matches the graph shown.
Name the geometric terms modeled by each object a telephone pole
Answer:
The geometric item that models each object is named a telephone pole is a line.
Thomas made use of bright and glaring font colors for his website. how does this practice affect the core message of the website?
Answer:
The answer is D :) on plato
Explanation:
A network administrator is measuring the transfer of bits across the company backbone for a mission critical financial application. the administrator notices that the network throughput appears lower than the bandwidth expected. which three factors could influence the differences in throughput? (choose three.)
The three factors that could influence differences in lower levels of network throughput compared to the bandwidth expected are:
The current volume of traffic crossing the networkThe kind of traffic that passes through the networkThe delay (latency) that is created by the number of network device(s) connections that the data is crossing.What are throughput and bandwidth in networking?Throughput indicates the amount of data sent from a source at any particular time, whereas bandwidth indicates the amount of data that might potentially be transmitted from a station at any given moment.
You have crucial data for measuring network performance provided you know the network's throughput and bandwidth levels. Operators who want a comprehensive view of their network's performance need to understand how throughput, as well as, bandwidth is operating.
The three factors that could influence differences in lower levels of network throughput compared to the bandwidth expected are:
The current volume of traffic crossing the networkThe kind of traffic that passes through the networkThe delay (latency) that is created by the number of network device(s) connections that the data is crossing.Learn more about network throughput and bandwidth here:
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Sort ideas related to three types of education into the correct categories
The ideas are to be categorized into either the "University or College", "Vocational school" or On-Job training class".
What entails the University or College?Its required two, four or more yearsIts is the most expensive optionIt is required in many field as pre-requisiteWhat entails the Vocational school?Its has technical training emphasisIt is usually two yearsWhat entails the On-Job training class?It is usually for weeks opr monthIt is for specific jobsRead more about education
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Answer:
this is the answer, here is an image that shows that answer
Explanation:
In line 20 what has made all the difference according to the speaker of the poem
Answer:
show me line 20 i am a a+ english student
Explanation:
Which inequality represents the number line:
Answer:
The answer is A
Explanation:
[tex]\frac{7}{7}[/tex] = 1 whole
[tex]\frac{7}{1}[/tex] = 7 wholes
The rest of the answer choices do not equal a whole.
which of the stream types had a statistically lower macroscopic invertebrate species diversity than the seasonal streams?
Intermittent streams are streams that exhibit lower macroscopic invertebrate species diversity than seasonal streams.
What is species diversity?Species diversity, also called biodiversity, refers to the richness of species living in a given community.
A community such as, for example, a stream, is composed of all populations living in a geographic region and thus forming part of an ecosystem.
Species diversity is a fundamental issue for the overall health and homeostasis of the ecosystem.
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The economy of newland is in short-run macroeconomic equilibrium. the current real output is $400 billion, and the full employment output is $500 billion. the marginal propensity to consume is 0.8.
a. The economy is experiencing a recessionary gap because the potential GDP is greater than the Real GDP.
bc. The minimum change required to shift the aggregate demand curve to close the output gap is 500 and 125.
Gross domestic producta. The economy is experiencing a recessionary gap because the potential gross domestic product is higher than the Real gross domestic product.
Potential GDP=500
Actual GDP=400
Potential GDP > Actual GDP
b. Minimum change
Multiplier= 1/(1 - MPC)
Multipl,ier= 1/(1 - 0.8)
Multiplier = 1/0.2
Multiplier= 5
Minimum change=(500-400)×5
Minimum change=500
c. Minimum change
Tax multiplier = MPC/(1 - MPC)
Tax multiplier= 0.8/(1 - 0.8)
Tax multiplier= 4
Minimum change=500/4
Minimum change=125
Inconclusion the economy is experiencing a recessionary gap because the potential GDP is greater than the Real GDP.
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Hi, Does anyone have Collabify too?
Answer:
probably
Explanation:
there are a lot of people
A 2-column table with 4 rows. The first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. The second column labeled temperature of air (degrees celsius) has entries 11. 8, 8. 5, 5. 3, 2. 0. As elevation increases, temperature decreases. At which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
Answer:
500 on edge :)
Explanation:
Answer:
A The first one! 500!
Explanation:
I got it right.
7.2 connecting intercepts and linear factors answer key
An example of 7.2 connecting intercepts and linear factors is Graph y = x + 4 and y = x - 2 using a graphing calculator and then sketch the graphs on the grid.
What are linear factors?The linear factors of a polynomial are known to be the first-degree equations that are said to be the framework of more complex and higher-order polynomials.
The Graph of y = x + 4 and y = x - 2 with the sketch of its graphs on the grid is shown in the image attached.
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A sales tax of 6% is added to the price of an item. if marisa buys an item, which expression indicates how much she will pay in all?
Answer:
n+6% of n
Explanation:
Let's just say n is the amount of money needed to buy that product. If 6% tax is added to that amount then that amount's 6% will be the added tax.
Answer:
n+0.06n.
Explanation:
The combustion of ethane in the presence of excess oxygen yields carbon dioxide and water: 2c2h6 (g) + 7o2 (g) → 4co2 (g) + 6h2o (l) the value of δs° for this reaction is ________ j/k⋅mol.
The value of entropy change (δs°) for this chemical reaction is equal to -620.4 J/molK.
What is entropy change?The entropy change of a chemical reaction can be defined as the difference between the total entropy change that is associated with the products and the total entropy change for the reactants.
In Chemistry, the standard entropy of formation for the given chemical compounds and element are:
[tex]S_{O^2}= 205\;J/molK[/tex]
[tex]S_{C_2H_6}= 229.6\;J/molK[/tex]
[tex]S_{H_2O}= 69.9\;J/molK[/tex]
[tex]S_{CO_2}= 213.6\;J/molK[/tex]
Mathematically, the entropy change of a chemical reaction is given by this expression:
[tex]\Delta S_{rxn}=\sum [n \times products]-\sum [n \times reactants]\\\\\Delta S_{rxn}=\sum [4S_{CO_2}+ 6S_{H_2O}]-\sum [2S_{C_2H_6}+ 7S_{O_2}]\\\\\Delta S_{rxn}=\sum [(4\times 213.6) + (6 \times 69.9)]-\sum [(2\times 229.6) + (7 \times 205)]\\\\\Delta S_{rxn}=\sum [854.4 + 419.4]-\sum [459.2 +1435]\\\\\Delta S_{rxn}=\sum [1273.8]-\sum [1894.2]\\\\\Delta S_{rxn}=-620.4\;J/molK[/tex]
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What is the appropriate sequence of events for protein synthesis?
Answer:
transcription and translation.
Explanation:
Protein synthesis is the process in which cells make proteins. It occurs in two stages: transcription and translation. Transcription is the transfer of genetic instructions in DNA to mRNA in the nucleus.
hope this helps
have an awesome day -TJ :)
The cj bacteria in the chickens at monita farms have a high frequency of the allele that causes fq resistance. If genetic drift was the cause, would this allele also be in bacteria at the original farm?
If the process of genetic drift was the cause of this phenomenon, then the resistance allele was also present in the original farm.
What is genetic drift?Genetic drift is a genetic phenomenon that occurs when one allele is fixed in a population due to random chance.
Genetic drift is converse to natural selection, where an allele increases this frequency due to evolutionary constraints.
Genetic drift is well known to be the cause of allele fixation by founder population effects.
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Envision mathematics common core volume 2 answer key grade 6
Envision math common core can be used to analyze and solve linear equations.
What is Envision math?Envision math common core can be defined as a mathematics curriculum that are designed and developed for grades K-5 and K-6. Also, it was specifically designed to combine both problem-based questions and visual learning together.
This ultimately implies that, envision math common core can be used in the following ways:
To analyze and solve linear equations.To model relationships between problems.To investigate bivariate data.Read more on linear equations here: brainly.com/question/13170908
A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in the box. express your answer using π .
Assuming the radius is 5.4m. The exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.
Length of an arcArc length of the circle=(theta)/360×pi×diameter
Diameter=2×radius
Where:
radius=5.4
Diameter=2×5.4=10.8
theta=60°
Arc length:
Arc length=60°/360°×π×10.8
Arc length=5.6548667765 or 1.8π
Inconclusion the exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.
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Answer:
1.8π
Explanation:
central angle/360=x/2πr
60/360=x/2(5.4)(π)
36x/36=6x2x5.4xπ/36
x=64.8π/36
x=1.8π
which of the following incorrectly matches an embryonic structure with its function?
Answer:
yok sac/provides nutrients to developing embryo
scalable flexible and adaptable operational capabilities are included in
Ans The NRF guiding principles
Explanation:
The NRF is built on scalable, flexible, and adaptable concepts.
Scalable, flexible, and adaptable operational capabilities are indeed included in the (NRF)National Response Framework's five key principles.
The National Response Framework (NRF) is a comprehensive guide developed by the United States Department of Homeland Security to facilitate effective response and recovery efforts during emergencies, disasters, and incidents. The NRF's five key principles, known as the "Five Mission Areas," outline the fundamental aspects of emergency management. These mission areas include:
1. Prevention: Activities aimed at preventing emergencies or disasters from occurring. This involves measures such as risk assessment, hazard mitigation, and public education to minimize the likelihood of incidents.
2. Protection: Actions focused on safeguarding individuals, critical infrastructure, and key assets from potential threats and hazards.
3. Mitigation: Efforts to reduce the impact and severity of disasters by implementing measures to minimize the potential damage and disruption caused by hazards.
4. Response: Immediate actions are taken to address and manage the consequences of an incident. This includes coordinating emergency response activities, mobilizing resources, conducting search and rescue operations, providing medical assistance, and ensuring public safety.
5. Recovery: Activities aimed at restoring affected communities and rebuilding the impacted areas after an incident. This includes facilitating the recovery process, providing assistance to individuals and businesses, restoring critical services, and rebuilding infrastructure.
In summary, scalable, flexible, and adaptable operational capabilities are integral to the National Response Framework's five key principles, as they enable effective emergency management and response during various incidents and disasters.
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Fungi are __________, whereas plants are autotrophs
Answer:
Heterotrophs
Explanation:
Answer:
fungi heterotrophs which means they cannot make their own food, where as plants are autotrops .
If two angles are supplementary angles, then both of them are: a) acute angles b) obtuse angles c) right angles d) none of these.
Answer:
right angle
Explanation:
because every right angle is equal to 90°