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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Math accelerated chapter 8 equations and inequalities answer key
In math equations and inequalities, they are said to be both mathematical sentences that is created to link two expressions such as the use of symbol >, <, ≤ or ≥. when two items are in a state of inequality.
What is equation and inequality?An equation is known to be a type of mathematical statement that depicts the equal state of two expressions. It is often depicted with the symbol = which shows equality.
While an inequality is known to be a mathematical statement that shows that two given expression is said to lesser than or more than one another.
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Find out where cancún, guadalajara, and oaxaca are located in mexico and describe one interesting attraction you can find at each one.
The location and interesting attractions of the different cities of cancún, guadalajara, and oaxaca are; Described in the answer below
Where is the location of some cities?Cancun: It is a city located in the southeastern part of Mexico, in the state of Quintana Roo, in the Yucatan peninsula and one of the most famous destinations in Mexico. One thing that you can see here is the Mayan ruins known as "El Rey."Guadalajara: This city is located in western Mexico and is the capital of the state of Jalisco. One of the most important touristic attractions of this city is the Hospicio Cabañas.Oaxaca: This city is located in the state of Oaxaca at the Centro District in the Central Valleys region of the state, on the foothills of the Sierra Madre. One of the most important attractions of Oaxaca is the festival of the "Guelaguetza."Read more about City Location at; https://brainly.com/question/15563495
to catalyze a biochemical reaction an enzyme typically
Answer:
Enzyme catalysis An enzyme catalyzes a biochemical reaction by binding a substrate at the active site.
Explanation:
The catayze is a biomedical reaction of an enzyme that typically binds the substance at the active site.
What is a biomedical reaction?Biomedical reaction is the transformation of one of the molecule into a different molecule that is located inside the cell.
These reactions are then medicated by enzymes and act like biological catalysts. They can alter the rate of the chemical reactions inside the cell.
Find out more information about the biochemical reaction.
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17.1 equation of a circle evaluate homework and practice
Based on the calculations, the radius of this circle with the given equation is equal to 5 units.
Given the following data:
[tex]x^2+y^2+8x-6y+21=0[/tex]The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Expanding the equation, we have:
[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]
Comparing the terms, we have:
[tex]-2hx = 8x\\\\-2h=8\\\\h=\frac{8}{-2}[/tex]
h = -4
[tex]-2ky = -6y\\\\-2k=6\\\\k=\frac{6}{-2}[/tex]
k = 3.
Now, we can determine the radius:
[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]
r = 5 units.
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What is the sum of the series 1+ln2+(ln2)22!+⋯+(ln2)nn!+⋯?
Answer:
e
ln
(
2
)
=
2
Explanation:
When a ball is dropped down from rest and air friction is neglected, determine the speed it is gaining per second.
Answer:
yes it is true it is gaining per second
A regular deck of cards has 52 cards. assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row?
The probability of drawing three aces in a row is the likelihood of drawing three aces
The probability of drawing three aces in a row is 0.000181
How to determine the probability?In a standard deck of 52 cards, there are 4 aces.
Given that the selection is without replacement; then we have the following selections:
First: 4 aces in 52 cardsSecond: 3 aces in 51 cardsThird: 2 aces in 50 cardsThe probability is then calculated as;
[tex]P = \frac{4}{52} * \frac{3}{51} * \frac{2}{50}[/tex]
Evaluate the products
[tex]P = 0.00018099547[/tex]
Approximate
[tex]P = 0.000181[/tex]
Hence, the probability of drawing three aces in a row is 0.000181
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Big ideas math algebra 1 student journal answer key
Answer:
thats not a real question and just look lt up
Explanation:
15.5 angle relationships in circles evaluate homework and practice
The measure of angle MPK is acute angle between the intersecting lines
The measure of MPK is 86 degrees
How to determine the measure of the angle?To calculate the angle measure of MPK, we use the following equation:
MPK = 0.5 * (MK + LN)
From the figure, we have:
MK = 61
LN = 111
So, we have:
MPK = 0.5 * (61 + 111)
Evaluate the product
MPK = 86
Hence, the measure of MPK is 86 degrees
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Maslow’s hierarchy of needs is an organized progression from one’s most basic needs to less basic or discrete needs.
It should be noted thy Maslow’s hierarchy of needs is an organized progression from one’s most basic needs to less basic or discrete needs.
What is Maslow’s hierarchy of needs?Maslow’s hierarchy of needs serves as the organization of human needs from top yo bottom of the needs scale.
The needs are are classified as;
physiological (food and clothing) safety (job security) love and belonging needs self-actualization.Therefore, the given statement is correct.
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Answer:
It's True
Explanation:
__________ is the source error that can be avoided by locating questions sensitive to bias and changing or dropping them.
Answer: social desirability .
Explanation: your welcome <3 .
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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Math accelerated chapter 12 volume and surface area
The example of shapes that was studied under the Math accelerated chapter 12 workbook is The volume of the prism is shown as 61.6in³. What is the height of the prism?
What is Math Accelerated Textbook?The Glencoe Math Accelerated is known to be a comprehensive robust text that has been set up to support the teachers teaching skills and styles and also to address the needs of your students.
To solve for the height of the prison. The formula is
V = lwh
V = 61.6
V= 8 x 2.2 x h
H = 61.6/17.6
H= 17.6h/17.6
H = 3.5in³
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In a certain video game, the variable maxps represents the maximum possible score a player can earn. the maximum possible score depends on the time it takes the player to complete the game. the value of maxps should be 30 if time is greater than 120 and 50 otherwise.
The code segment that best sets the value of maxPS is the first one because it includes complete and correct information.
What is a code segment?
As indicated by its name, it refers to a small section in the program's executable instructions.
How to select the best code segment?The code segment should include complete and accurate information. In this case, we know:
The maxPS is directly related to time.The maxPS is usually 50.This condition is not Met if the time is over 120 which would lead to 30 maxPS.Based on this, the best code segment is A because this accurately shows the maxPS is 50 except when time is over 120 as this changes the maxPS to 30.
Note: This question is incomplete because the options are missing; below I attach the missing section:
Which of the following code segments correctly sets the value of maxPS based on the value of time?Learn more about code segment in: https://brainly.com/question/26683418
What concept would not be a correct addition to the student's explanation about how energy flows and matter cycles through an ecosystem?
Plants use cellular respiration to break down molecules and then they use them is NOT correct to explain how energy flows and matter cycles in an ecosystem.
How do energy and matter flow in the ecosystem?The ecosystem can be considered as the interaction between abiotic (e.g., water) and biotic factors (organism) in a given area.
In an ecosystem, the matter cycle and energy flow by crossing across different trophic levels.
The trophic levels are composed of organisms that show a special localization in the food web (e.g., herbivores).
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A camera is mounted on a tripod feet high at a distance of feet from george, who is feet tall. look at the model to the right. if the camera lens has angles of depression and elevation of , will george's feet and head be seen by the lens? if not, how far back will the camera need to be moved to include george's feet and head?
To capture his feet and head, the camera will need to be moved at least one foot backward. This is an Angles of Elevation and Depression theorem exercise.
What is the Angle of Elevation Theorem?The angle of elevation is the angle between the line of sight and the horizontal line when an observer looks up. While the Angle of Depression refers to the angle that is formed when the observer looks down.
The formulas are given as:
tan θ = y/x ⇒ θ = tan -1 (y/x).
How to calculate the distance required for the camera to capture Geroge completelyLet us assume that x is the distance in feet that the tripod must be moved back.
Recall that the angle of depression and elevation as given in the question (full version attached) is 20°
The height of the Tripod is 4 feet, at a distance of 10 feet, therefore,
tan (20°) * (10 + x) = 4
⇒
x =4/tan (20°)-10
x= 4/(10.989909678 - 10)
x = 0.9899
x ≈ 1 feet.
Hence the camera must be moved back about 1 feet to capture Geroge..
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Big ideas math geometry student journal answer key chapter 9
An example of Big ideas math geometry student journal question is what percentage of 260 is 65?
What is Big Ideas Math?This is known to be a very popular Core Curriculum that has been set for Middle School and High School Mathematics. It was found to be written by Ron Larson and Laurie Boswell.
To solve for the percentage of 260 that is 65, one has to categorized them
Percentage will be p:
So the equation will be:
p. 260 - 65
p = 65/ 260
p = 0.25 which is approximately 25 percent.
Therefore a percentage of 260 that is 65 is 25%.
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A wave travels 600 m/s at a frequency of 200 hz. what is its wavelength?
The wavelength of the wave traveling at the given velocity and frequency is 3m.
Given the data in the question;
Velocity of wave; [tex]v = 600m/s[/tex]Frequency; [tex]f = 200Hz = 200s^{-1}[/tex]Wavelength; [tex]\lambda = \ ?[/tex]WavelengthWavelength is simply defined as 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.
To determine the wavelength of the wave, we substitute our given values into the expression above.
[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{600m/s}{200s^{-1}} \\\\\lambda = \frac{600ms/s}{200}\\\\\lambda = 3m[/tex]
Therefore, the wavelength of the wave traveling at the given velocity and frequency is 3m.
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What is black and white and has lots of problems worksheet answers
Read the following sentence.
Pliny once wrote that Phoenician sailors who cooked on blocks of natron (soda) on a beach discovered glass accidentally.
Is the underlined phrase essential (restrictive) or nonessential (nonrestrictive)? Explain your reasoning
Answer:
The underlined phrase is essential. It isn't just any group of Phoenician sailors who discovered glass, nor is it that Phoenician sailors in general discovered it; the sentence refers to a particular group of sailors that used blocks of natron to cook on the beach.
Explanation:
source…Quizlet
I hope this helps
Have an AMAZING day. :)
Lesson 16 solve problems with equations answer key
Based on the calculations, the value of x and y in this equation are both equal to 5.
What is a system of linear equations?A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
Given the following data:
x + y = 10 .....equation 1.
x = 5. .....equation 2.
How to evaluate an equation.In order to evaluate the given mathematical equation, we would substitute equation 2 into equation 1 as follows:
[tex]5+y=10\\\\y=10-5[/tex]
y = 5.
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correctly label the following components of the kidney.
The correct labelling of the components of the kidney is;
From left top:
Renal artery and veinHilumKidneyFibrous capsulePerirenal fat capsuleRight:
UreterRenal fasciaWhat is a kidney?This is an organ in the body that filters the blood and produces urine.
The Functions Of The KidneysTo Extract Waste From Blood, To balance Body Fluids, To form UrineTo aid In Other Important Functions Of The BodyLearn more about kidneys:
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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:
based on the information provided in figure 1 and figure 2, which of the following best predicts the effects of a mutation in the promoter of the tyr gene that prevents it from being transcribed?
Based on the information provided in figure 1 and figure 2, Skin pigmentation will not be altered, leading to a negative selection pressure.
What is the figure about?The Figure shows the making of α-MSH in keratinocytes as a result of UV radiation.
The option that effects of a mutation in the promoter of the tyr gene that prevents it from being transcribed is that Skin pigmentation will not be altered, leading to a negative selection pressure.
Conclusively, in Figure 1, TYRTYR is needed for the steps in the melanin synthesis pathway but when it was not shown properly, it hinders melanocytes from synthesizing melanin even if there was an exposure to UVUV radiation. This would therefore leads to a negative selection pressure.
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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.
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
Consider the following claim: group behavior can increase the chances for an individual and a species to survive and reproduce
Nate’s ice-cream cone has a diameter of 4 cm and a height of 14 cm. what is the approximate volume of the ice-cream cone?
Answer: 58.643 cm^3
Explanation:
Volume of a cone = (1/3) * π * r^2 * h
Half of the diameter is the radius, so r = 2 and h = 14.
Plug in: V = (1/3) * π * 2^2 * 14 = 58.643 cm^3 :)
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 :)
Based on the equation and the titration results what is the concentration of the h2so4(aq)
Answer:
The value is going to be 0.96 M. You would need to refer to the chart so that you can solve the question properly. To solve for the value of this, you need to know the value of each mole. The equation is going to be MaVa=MbVb x (12). You would need to change the concepts to (0.16)(36.0) x = 0.48.