Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + − 1 2 n
The sum of the first ten terms of the given sequence when approximated to four decimal places is; 9.6758
What is the sum of the sequence?
We are given the formula for the sequence as;
aₙ = 1 + (⁻¹/₂)ⁿ
Thus;
First term; a₁ = 1 + (⁻¹/₂)¹ = 0.5
a₂ = 1 + (⁻¹/₂)² = 1.25
a₃ = 1 + (⁻¹/₂)³ = 0.875
a₄ = 1 + (⁻¹/₂)⁴ = 1.0625
Fifth term; a₅ = 1 + (⁻¹/₂)⁵ = 0.96875
a₆ = 1 + (⁻¹/₂)⁶ = 1.01563
a₇ = 1 + (⁻¹/₂)⁷ = 0.99219
a₈ = 1 + (⁻¹/₂)⁸ = 1.00391
a₉ = 1 + (⁻¹/₂)⁹ = 0.99805
Tenth term; a₁₀ = 1 + (⁻¹/₂)¹⁰ = 1.0098
Thus, sum of all those ten terms is;
S₁₀ = 9.6758
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The process of writing a polynomial as a product is called
Answer:
Factoring
Explanation:
The opposite can be called distributing
A parking lot in the shape of a trapezoid has an area of 12,052.1 square meters. the length of one base is 82.4 meters, and the length of the other base is 108.6 meters. what is the width of the parking lot?
Answer:
When you solve for the area of a trapezoid, you have this formula:
A = ((a + b)/2) * h
where: a & b are the bases ; h is the height
We just plug in the figures on the formula to get the needed information.
A = 12,052.10 square meters
a = 82.4 meters
b = 108.6 meters
12,052.10 = ((82.4 + 108.6)/2) h
12,052.10 = 191/2 * h
12,052.10 = 95.5 * h
12,052.10 / 95.5 = h
126.2 = height
The height of the parking lot is 126.20 meters.
Explanation:
Rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round.
The angular speed simply describes the way that things turn which is described in units such as revolutions per minutes, degree per seconds, etc.
What is angular speed?Your information is incomplete as the diagram isn't provided. Therefore, an overview will be given.
It should be noted that angular speed simply means the measure of how fast the central angle of the rotating body changes with respect to time.
The angular speed is simply calculated by multiplying the angle of rotation and the time taken to complete the rotation.
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7-3 additional practice multiplying special cases envision algebra 1
An example of additional practice multiplying special cases envision algebra 1 is solving Linear equation. An example is given as 4 + (3x-1/2) = 9.
What are special cases envision algebra 1?
Envision Algebra 1 is one type of course that needs a good background on Pre-algebra functions. It is a type of algebra that starts from Linear Equations up to polynomials and factoring.
To solve for the above question, one has to separate the fraction on one side of the equation. This can be done by subtracting 4 from the two sides of the equation.
So, 3x-1/2 = 9 - 4
3x-1/2 = 5
The you have to multiply the 2 sides by using the denomiator 2 and so it will be:
3x-1 = 5 * 2
3x - 1 - 5 * 2
3x - 1 - 10
Then you rearrange like terms together.
3x - 10 + 1
3x = 11
x = 11/3
So therefore, x = 11/3
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A sample of oxygen gas is confined at 127°c and 0.80 atm. if volume of the container holding the gas stayed the same, what would be the pressure of this sample at 27°c?
Based on the calculations, the pressure of this gas sample at 27°C is equal to 0.17 atm.
How to determine the final pressure.In order to calculate the final pressure of an ideal gas at constant volume, we would apply Gay Lussac's law.
Mathematically, Gay Lussac's law is given by this formula;
[tex]P\;\alpha \;T\\\\P=kT[/tex]
Where:
P is the pressure.T is the temperature.k is the constant of proportionality.Substituting the given parameters into the formula, we have;
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{0.80}{127} =\frac{P_2}{27} \\\\0.0063 =\frac{P_2}{27}\\\\P_2 = 0.0063 \times 27[/tex]
Final pressure = 0.17 atm.
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Algebra structure and method book 1 mcdougal littell answer key
An example of Algebra structure work is simplify (8-3)+3.
What is algebraic structure?In mathematics, an algebraic structure is known to be a term that is made up of a nonempty set A, a combination of operations on A of finite series and a finite group of identities.
To simply this equation, (8-3)+3.
One has to follow the order of operations using the P.E.M/D.A/S technique, the expression that are in the parenthesis have to be solved first.
2 of 3
(5)+3 = 8
Therefore, the answer is 8
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17.1 angles of rotation and radian measure answers
The angles of rotation is described as an angle that is created by the beginning and ending positions of a ray that is known to moves in circles (rotates) about its own endpoint.
An example of this type of angle is given in the image attached. The image is an example of an angles that is greater than 180° and less than 0°.
What is Angles of Rotation and Radian Measure?The measurement of a radian of an angle is known to be the length of the arc on the unit circle that is said to be subtended by that angle.
Note that the ways to Measure Angles is by:
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match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. use each word only once.
The correct matching of the words to the right definitions are:
Massive star supernova → 2Nova → 3Electron degeneracy pressure → 1What is the matching of words?The matching of words to an appropriate term is described as an assessment method of identifying or determining the true purpose of that term or an item, the function it serves, and sometimes the definition of the word.
Let's assume we have the disorganized words with some terms:
Words;
massive star supernovanovaelectron degeneracy pressureDefinitions;
The radius of a white dwarf is discerned by an equilibrium between the inward force of gravity and the outward push of A(n) appears when fusion produces iron in the core of a star.A(n) takes place when hydrogen fusion kindles on the surface of a white dwarf in a binary system.The correct matching of the words to the right definitions are:
Massive star supernova → 2Nova → 3Electron degeneracy pressure → 1Learn more about matching words here:
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From a point 54.0 feet from the base of a flagpole, the angle of elevation to the top of the flagpole is 68.5°. find the height of the flagpole.
The flagpole forms a right-triangle with its base and its top
The height of the flagpole is 137.1 feet
How to determine the height?To determine the height, we make use of the following tangent trigonometry ratio
[tex]\tan(68.5) = \frac{h}{54.0}[/tex]
Where:
h represents the height of the flagpole.
So, we have:
[tex]h = 54.0 * \tan(68.5)[/tex]
Evaluate
[tex]h = 137.1[/tex]
Hence, the height of the flagpole is 137.1 feet
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Why does zora neale hurston use nonstandard english in this excerpt? to emphasize the relationship between john and his parents to provide a historical context in which the events occur to portray the dialect of african americans during the period to reflect the mixed emotions john’s mother has about her child
The reason why zora neale used Non standard English was in order for her to portray the dialect of African Americans during the period.
What is a dialect?This is a way of speaking a particular language that is peculiar to a group of persons.
The lady used non standard English to show us how Black Americans spoke their own version of the English language at the time.
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Answer: to portray The dialect of African Americans during the period
Explanation:
trust me
Choose the best spanish word to complete the sentence. ________ (speak) más despacio, por favor. Hablo hablar habla hablan
Answer:
Its actually Habla
Explanation:
The best Spanish word for speak is habla. Thus, option third is correct.
How to complete Spanish sentences?The words must be put in a sequence that makes perfect sense in order for the phrase to be successfully completed.
The subject of the sentence must agree with the verb, meaning that the conjugation chosen is the correct one for the verb in the issue.
In the sentence "más despacio, por habla favor", the verb "habla" which refers to speak. The present tense (indicative) first person singular of the verb "hablar" is "hablo." "Habla" wouldn't be appropriate here. The third-person conjugation may be the cause.
Therefore, Habla is the most appropriate Spanish term meaning talk. So, the third choice is the best one.
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#SPJ5
The box plot and table represent data on the number of points scored per game for two players, player a and player b, in their last 13 basketball games.
If you were the coach, the player I would want on my team would be player A.
Which player would I want on my team?
The player I would want on my team is the better player.
Statistics of Player A:
Minimum score = 14
Maxium score = 40
First quartile = 25
Median = 31
Third quartile = 33
Statistics for Player B:
Arranging Player B's scores in ascending order: 8, 21, 22, 22, 25, 25, 26, 28, 29, 31, 32, 35, 46
Minimum score = 8
Maxium score = 46
First quartile = 1/4(13 + 1) = 22
Median = 26
Third quartile = 3/4(13 + 1) = 31.5
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A nurse educator is conducting a learning needs assessment prior to teaching a group. To collect information quickly while safeguarding individual privacy, the nurse educator should use which method?
To collect information quickly while safeguarding individual privacy, the nurse educator should use questionnaire.
What is a questionnaire?A questionnaire serves as a list of questions or items used to gather data from respondents.
This information could be on their attitudes, experiences, or opinions.
However, Questionnaires can be used to collect quantitative and qualitative information.
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A longitudinal wave is observed to be moving along a slinky
Explanation:
A longitudinal wave is composed of compressions and rarefactions. An example of a lomgitudinal wave is sound waves. It's a type of wave thay moves parrelel to axis.
Western and central europe: 740,000 adults and children living with h i v and 12,000 deaths due to h i v. eastern europe and central asia: 1.7 million with h i v and 84,000 deaths. east asia: 750,000 with h i v and 43,000 deaths. south and southeast asia: 7.8 million with h i v and 90,000 deaths. oceania (including australia and new zealand): 81,000 with h i v and 4,000 deaths. middle east and north africa: 460,000 with h i v and 36,000 deaths. sub-saharan africa: 24.7 million with h i v and 2.1 million deaths. which area of the world has the most people living with hiv/aids? the middle east and north africa sub-saharan africa south and southeast asia eastern europe and central asia
Answer:
B. Sub-Saharan Africa
Explanation:
Breaking dna into nucleotides involves this process
Answer:
The answer is Hydrolysis
Explanation:
Hope that helps!
One economic reason for the general trend of migration from rural to urban areas is that —
Approximate the sum of the series correct to four decimal places.
Answer:
Example;
To round off 6.0056 to the nearest hundredths, the thousandth digit is checked and is equal to 5.
Add one unit to the hundredth digit and drop all the digits that come after it.
The answer is therefore, 6.01.
south american country that hosted the first fifa world cup
Answer:
URUGUAY
Explanation:
20.1 justifying circumference and area of a circle answers
Answer:
c=2pir and A=2pir its answer i think so
Which is one way surface water may become groundwater
Surface water becomes groundwater through infiltration.
What is infiltration?Infiltration is a term to refer to the method by which water seeps into the ground to recharge underground water reservoirs. In this process, the water molecules pass through the soil and are grouped in underground water deposits.
Why is groundwater important?Groundwater is important because it is a reservoir of fresh water for consumption. Additionally, these reservoirs help preserve the surrounding vegetation species.
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1.0 l of a buffer is prepared. it contains 0.125 m ha (pka = 4.74) and 0.115 m a−. what is the ph of this buffer after 0.0100 mol of strong acid is added?
Answer:
pH=4.63
Explanation:
pH = pKa + log(base/acid)
Which additional fact would prove that quadrilateral wxyz is a parallelogram?
The quadrilateral wxyz has four sides
The additional fact that would prove that quadrilateral wxyz is a parallelogram is that XY = WZ
How to prove that wxyz is a parallelogram?For a shape to be a parallelogram, the folllowing must be true
The shape must be a quadilateralThe opposite sides of the shape must be congruentThe opposite sides of the shape must be parallelHence, the additional fact that would prove that quadrilateral wxyz is a parallelogram is that XY = WZ
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Does the confidence interval give convincing evidence of a difference in the population mean number of pairs of shoes for boys and girls at the school? justify your answer.
The confidence interval did give convincing evidence that there is difference in the population mean number of pairs of shoes for boys and girls at the school.
Why does the confidence interval did give convincing evidence?The interval is one that gave a good convincing evidence, based on the fact that the number 0 stands as NO difference ( (girls boys) and thus it is = 0 ).
It is also not not included in this interval and as such, it can mean that the difference in the mean number of shoes owned by girls and the mean number of shoes owned by boys is 0 .
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7-3 mortgage application process worksheet answers
The mortgage process is known to be a very complicated on but its involves:
Pre-approvalHouse shoppingMortgage applicationLoan processingUnderwriting Closing.What occurs when a mortgage application is submitted?When one has submitted papers for a mortgage, The lender will have to review your application and documentation and see if one qualifies.
They often check the property through the act of lender's valuation. and by the reviewing of your application and the result of the valuation, they will make final decision regarding if they will give you or not.
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True or false in a parallelogram any two opposite sides are congruent
Answer:
True
Explanation:
Among the properties of a parallelogram is that opposite sides are congruent.
hope this helps and is right!! p.s. i really need brainliest :)
Which New Zealand cultural tradition is represented in the photo above?
A.
billy tea and damper
B.
the Waltzing Matilda
C.
haka
D.
Pakeha
C. haka edge 21-22
hope this helps
Magnesium chloride is a salt formed with ionic bonds
What is the volume of the cone? use π ≈ 3. 14. 12. 56 cubic units 18. 84 cubic units 20. 93 cubic units 25. 12 cubic units
Answer:
Explanation:
the following formula is used to find the volume of a cone
V - volume = πr²h/3
where π = 3.14, r - radius and h - height
the height hasnt been directly given
we can find height using Pythogoras theorem for the right angled triangle given
4² + h² = 5²
16 + h² = 25
h² = 25 - 9
h² = 9
h = 3
height = 3
diameter is 4, therefore radius - diameter / 2 = 4/ 2 = 2
radius = 2
substituting values in the volume equation
V = 3.14 x 2² x 3 /3
= 12.56
volume is 12.56 cubic units