The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
What are the rules for Ratio Test for Convergence?The rules are:
Using this knowledge, we are able to state that
A is not conclusive.C's convergence is absolute.There is divergence with D and E.B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
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Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible. (enter the dimensions as a comma-separated list.)
The dmension of the rectangle with perimeter of 68 m has the largest possible area as 17m by 17m.
Perimeter of a rectangleperimeter of rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
perimeter = 68 m
68 = 2l + 2w
l + w = 34
l = 34 - w
Hence, the largest possible area is at the amximum.
area = lw
area = w(34 - w)
area = 34w - w²
The maximum is at dA / dw = 0
Therefore,
34 - 2w = 0
2w = 34
w = 34 / 2
w = 17
l + w = 34
l + 17 = 34
l = 34 - 17
l = 17
area = 17² = 289 m²
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A computer’s memory is composed of 8k words of 32 bits each. how many total bytes in memory?
The number of total bytes in memory is 32,000 bytes.
How many total bytes in memory?
We know that the memory is composed of 8k (or 8,000) words of 32 bits each.
To get the total memory, we just need to take the product between the number of words and the memory that each has.
This will give:
8,000*(32 bits) = 256,000 bits.
But we want this in bytes so we need to change the units, remember that:
1 bit = 0.125 byte.
Then we have:
256,000 bits = 256,000*( 0.125 byte) = 32,000 bytes.
The memory has 32,000 bytes in total.
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What is the topic of this passage? jim makes friends with a cooter. an enslaved man believes a talking cooter will help him gain his freedom. a talking cooter wants to meet jim. jim is a talking cooter who wants to be a dreamer like his owner.
We can see that the topic of this passage is: An enslaved man believes a talking cooter will help him gain his freedom.
What is passage?A passage actually refers to a piece of writing that actually contains sentences and paragraphs. Passages are written to relay information or stories that took place.
We can see here that Jim is a slave. So, he believes that a talking cooter will help him gain his freedom. This is actually the topic of the passage.
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The topic of the given passage is B). An enslaved man believes a talking cooter will help him gain his freedom.
What is Topic?This refers to the subject of what is being discussed in a given passage or text.
In this case, the passage talks about Jim believing when he allows the owner of the plantation meet the cooter he will regain freedom which is why option B was chosen.
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Course 3 chapter 5 triangles and the pythagorean theorem
The pythagorean theorem is used to calculate the lengths of a right triangle
The hypotenuse of the triangle is 6.5 cm
How to determine the hypotenuse of the triangle?From the complete question, we have the following side lengths
Opposite = 5.7 cmAdjacent = 3.2 cmThe hypotenuse of the triangle is then calculated as:
Hypotenuse^2 = Opposite^2 + Adjacent^2
This gives
Hypotenuse^2 = 3.2^2 + 5.7^2
Evaluate the sum
Hypotenuse^2 = 42.73
Take the square root of both sides
Hypotenuse = 6.5
Hence, the hypotenuse of the triangle is 6.5 cm
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In the 1960s, american men had to register for the draft if they were between the ages of 18 and 25. 19 and 27. 20 and 29. 21 and 31.
In the event of a national emergency, the draft might yet be reinstated by a congressional act. The organization in charge of maintaining a draft and registering men is known as the Selective Service System.
What selective service had to register for the draft?The compulsory enlistment of people in the armed forces is known as a draft. Since 1973, the entire American military has been comprised of volunteers.
Selective Service registration is necessary for almost all males between the ages of 18 and 25 who are citizens of the United States or who have legal status there.
Citizens must register within 30 days of becoming 18 years old. Within 30 days after their arrival in the United States, immigrants must register.
Therefore, 18 is the legal age, and they were desperate for soldiers, so the minimum age was as low as it could be.
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What period is covered in the category of early childhood
Answer:
Early childhood covers the period from birth to nine years of age.
Explanation:
that is the answer. good luck
Max bought a new speed boat that cost of $33,000. the boat depreciates approximately 18% of its value each year. write an equation to model the value of the speed boat.
The equation that can be used to model the value of the speed boat is; y = 33,000 × (0.82)^t
How to write equation?cost of the boat = $33,000Rate of depreciation each year = 100% - 18%= 82%
= 0.82
The equation;
y = A × (b)^t
where,
y = new cost of boatA = initial costb = rate of depreciationt = timeSubstitute the known values into the equation
y = A × (b)^t
y = 33,000 × (0.82)^t
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To add emphasis to the idea that this object is different than other recent objects discussed, an audio version of this text could have a pause after "this suffragette." after "recent objects." before "mass consumption." before "this one is about."
Answer: D
Explanation: before “this is one about”
Purvik and nisha spent a summer day at a popular amusement park with friends. they rode roller coasters, ate cotton candy, and played carnival games to win prizes. explain how each of the following might have played a role in their day
The way the different type of emotions might have played a role in their day is; As detailed in the explanations below
What are some of the roles in motion theory?The role of given thing that might have played in their day are as follows:
The Amygdala: This is an important part of the limbic system that is responsible for the processing of emotions like joy, wonder, fear e.t.c.The approach-approach conflict: This is one that takes place when there's conflict to decide between two appealing goals. It plays a role in deciding which activity to do first.Arousal theory: It is a theory that plays a major reason people are driven to perform any action is to maintain the optimal level of physiological arousal.Informational Social Influence: It is a psychological process in which people imitate of actions of others.Motion parallax: This is a monocular depth cue. It generates a feeling like an object that is closer moving faster than objects that are further away from us.Taste aversion; This is when our senses or mind develops resistance towards certain types of food.Vestibular sense; This involves the sensations of body rotation and of gravitation and movement arise in the inner ear.Read more about motion theory at; brainly.com/question/9138858
which diagram best represents the efficient extraction of oxygen from water by the mechanism of countercurrent exchange?
The diagram that best represents the efficient extraction of oxygen is the diagram, where oxygen gradient do exists with the full length of the capillary.
What is the extraction of oxygen?The term Oxygen extraction fraction (OEF) is known to be a term that connote the rate of blood oxygen that a tissue often absorbed from the blood flow to keep function and morphological state.
Note that the OEF shows the efficiency of oxygen use by the tissue and, so it is a hemodynamic way of measurement in brain ischemia.
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Look carefully at all of the underlined words. based on the context of this quote, what does "elective franchise" mean?
Answer:
tbh I'm not really sure sorry ♂️
Answer:
C. Right to vote
Explanation:
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.
Answer:
An evaluation of each editorial's argument
Explanation:
just took the test
Answer: A
Explanation. :(an evaluation of each editorial’s argument.
Read and choose the option with the correct word or words to complete the sentence. quiero viajar por avión a ecuador y necesito comprar ________. el itinerario un lago el boleto la red
Answer:
El Boleto
Explanation:
(Quiero) (viajar) (por) (avión) (a ecuador) (y necesito) (comprar) ________.
(I want) (to travel) (by) (airplane) (to ecuador) (and need) (to buy) [a] ________.
El means "The," specifically used to refer to a "male" word (ending with o or e). Boleto on the other hand, means ticket. You need a ticket to board an airplane, ergo, you need el boleto.
Answer:
El Boleto
Explanation:
El Boleto
A 12 cm diameter cd has a mass of 21 g. what is the cd's moment of inertia for rotation about a perpendicular axis through the edge of the disk?
The moment of inertia for rotation about the perpendicular axis through the edge of the disk is 3.78 × 10⁻⁵ kgm².
Moment of inertia
Moment of inertia is referred to as the product of mass of section and the square of the distance between the reference axis and the centroid of the section.
Moment of inertia of solid cylinder or disk is expressed as;
I = 1/2 × mr²
Given the data in the question;
Mass of disk m = 21g = 0.021kgDiameter of disk d = 12cm = 0.12mRadius r = d/2 = 0.12m / 2 = 0.06mMoment of inertia I = ?We substitute our given value into the expression above.
I = 1/2 × 0.021kg × (0.06m)²
I = 1/2 × 0.021kg × 0.0036m²
I = 3.78 × 10⁻⁵ kgm²
Therefore, the moment of inertia for rotation about the perpendicular axis through the edge of the disk is 3.78 × 10⁻⁵ kgm².
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Katarina wrote the standard form of a linear equation as 4x – 4 x minus startfraction 2 over 3 endfraction y equals 8. Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did sofiya give to katarina?
Answer:
nswer:
Advice that Sofiya would have given is:
1) Take least common denominator and add fraction on the left side in order to combine terms.
2) Multiply least common denominator i.e 3 to both sides in order to remove the denominator.
3) Divide both sides by 2 in order to simplify the numbers.
The standard form of the linear equation is
Step-by-step explanation:
Standard form of Linear equation is
Equation written by Katrina:
In order to convert Katrina's linear equation into standard form Sofia must have given the following advice:
Take least common denominator in order to add fractions on the left side. The common denominator here would be 3 as 3 is the only denominator.
Adding fractions.
Multiplying both sides by
Dividing both sides by
∴ The standard form of the linear equation is
Explanation:
Chavez is studying the relationship between emotions and physiological reactions. he believes that the different emotions experienced by individuals cannot be associated with specific physiological changes because autonomic nervous system responses are too diffuse and slow to account for rapid and differentiated emotional responses. in this context, chavez is most likely to reject
Chávez's claim that the autonomic nervous system is too diffuse and slow to explain rapid and differentiated emotional responses is wrong.
The autonomic nervousThis system regulates certain body processes such as blood pressure and respiratory rate. It works automatically (autonomously) without the person's conscious effort.
The path of an autonomic nerve involves two nerve cells. One of them is located in the brain stem or spinal cord. It is connected by nerve fibers to another cell, located in a group of nerve cells (called autonomic ganglia). Nerve fibers from these ganglia connect with internal organs.
With these information, we can conclude that Chávez's claim that the autonomic nervous system is too diffuse and slow to explain rapid and differentiated emotional responses is wrong.
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List down 3-5 potential obstacles you may encounter on work immersion
Across the sdlc phases which among these activities see a substantial amount of automation
Why does the coach interrupt jeremy at the end of the scene
The coach interrupt Jeremy at the end of the scene because he wants Jeremy as his assistant and prevents him from refusing the job.
What is the Assistant known for?A personal assistant, is known to be a person often called personal aide or personal secretary (PS).
Conclusively, It is a person who helps the head or a coach as in this scenario in some of their daily business activities. Note that The coach interrupt Jeremy at the end of the scene because he wants Jeremy as his assistant and prevents him from refusing the job.
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Answer:
He wants jeremy as an assientant and prevents him from refuse
Explanation:
i got it right
A segment in the complex plane has a midpoint at 3 – 2i. if one endpoint of the segment is at 7 + i, what is the other endpoint? –1 – 5i 5 – 0.5i 10 – i 11 + 4i
By applying the midpoint formula, the other endpoint is equal to (-1, -5).
How to determine the other endpoint?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
(7 + x)/2 = 3
7 + x = 6
x = 6 - 7
x = -1.
Midpoint on y-coordinate is given by:
(1 + y)/2 = -2
1 + y = -4
y = -4 - 1
y = -5.
Therefore, the other endpoint is (-1, -5).
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Answer:
A: -1-5i
Explanation:
edge!
Introduction to linear algebra 5th edition answers
Answer:
Ive already seen several questions incomplete like this.
Explanation:
Whats your question?
What do you need help on?
I took algebra a while ago so I may be able to help you.
Discuss the correct exposure and how is it necessary
Answer: The correct exposure means you combination of settings between aperture shutter speed ISO speed have produced a perfectly exposed image
Explanation:
Choose the statement that would be a commonplace assertion for this claim: road to glory is a skateboader's paradise.
The statement that can be classified as a commonplace assertion is "Exercise strengthens the body and mind".
What is a commonplace assertion?This refers to a statement or opinion that is believes by many people despite not being completly proved.
Which one is a commonplace assertion?The statement that can be classified in this category is "Exercise strengthens the body and mind" because it is a general belief exercise is good both for your body and mind.
Note: This question is incompelte because the options are missing; here are the options:
Road to Glory is an established name in the skateboarding industry.Young people in this area have few places devoted exclusively to them.Tony Valdez purchased the Hit-the-Streets package, and he was thoroughly satisfied with his day at the skateboard park.Exercise strengthens the body and mind.Learn more about commonplace assertion in: brainly.com/question/229544
Envision geometry 9-1 additional practice polygons in the coordinate plane
An Envision geometry 9-1 additional practice is known to be a textbook that covers topics in geometry such as polygons, shapes, etc.
What is the enVision Geometry about?This is known to be a textbook that is made up of Solutions and and answers to geometry questions.
The use of enVision Geometry includes is one that provides students with exercises, process step by step of solving geometry cases.
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Use the drop-down menus to identify the case of the underlined pronoun in each example. katie’s dog likes to swim. mathew’s dog doesn’t. hers is in the water now. the dogs waited patiently. katie and mathew usually walked them after dinner. at the end of the day, the dogs were tired. they went to bed.
Answer:
Katie’s dog likes to swim. Mathew’s dog doesn’t. Hers is in the water now.
✔ possessive
The dogs waited patiently. Katie and Mathew usually walked them after dinner.
✔ objective
At the end of the day, the dogs were tired. They went to bed.
✔ subjective
What phrase is repeated in this passage? what idea is emphasized through repetition?
Answer:
Q: What phrase is repeated in this passage?
A: Go Back
Q: What idea is emphasized through repetition?
A: Returning home with renewed hope
Explanation:
Got it right on edge!
What phrase is repeated in this passage A: Go Back. What idea is emphasized through repetition? Returning home with renewed hope.
What is Repetition?Repetition is the straightforward repetition of a word within a condensed number of words (including in a poem), without specific word placement to ensure emphasis.
It is a multilingual written or spoken device that is often employed in Hindi and Mandarin in addition to English. As a result, it is rarely referred to as a figure of speech.
Its forms, many of which are described below, have various resonances to listing (forms of enumeration, such as "First, Second, Third, and Last..."), and, as a matter of trite logic, frequently have effects that are comparable to each other.
Therefore, What phrase is repeated in this passage A: Go Back. What idea is emphasized through repetition? Returning home with renewed hope.
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What is the length of the unknown leg of the given rigth triangle? startroot 3 endrootft startroot 6 endrootft startroot 39 endrootft startroot 89 endrootft
Answer:
39 ft.
Explanation:
Correct on Edge
what are the three basic steps in the nsc collision prevention formula
Answer:
Read the road ahead. Reduce your speed. Drive to the Right. Ride off the road if necessary.
Explanation:
I had this on a test and i got it right hope it works
The three basic steps in the NSC collision prevention formula are that Collisions or injuries may be avoided via way of means of following protection regulations and following protection mechanisms.
What are the 3 primary steps of the DDC collision?The 3 primary steps of the DDC collision prevention formulation are to Recognize, Understand, and Act correctly.
Recognize the risks such that, the driving force need to be alert approximately the surroundings and test the mirrors each five to ten seconds Understand the protection such that the driving force need to appear out for any risks, hazardous driving, and different viable risks at the road. The driving force needs to be capable of recognizing the outcomes of risks.Always use signals, manipulate the speed, and keep enough distance from the cars to keep away from a collision.
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Which phrase best describes the rock’s texture? jagged grains coarse grains rounded grains non-banded grains
Answer: non-banded grains
Explanation:
just took the test
Non-banded grains, a phrase, best describes the rock’s texture. Thus, option (d) is correct.
What is rock?
The rock, according to geology, is a part of the solid surface. The rock is the collection of these cemented mineral grains. The rocks are small and bigger. The small rocks are also known as pebbles. The type of natural resource is rock. The rocks are used for making the building.
According to the best described of the rock’s texture are the non-banded grains. There are the metamorphic rocks are the texture of the foliated are the lack of the platy minerals. There was the commonly resulted in the regional metamorphism. There are the so many examples are greenstone, marble, anthracite, and the hornfel etc.
Therefore, option (d) is correct.
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Assume a six-month cd purchased for $5000 pays simple interest at an annual rate of 9.5%. how much interest does it earn?
Answer:
$3,157.89
Explanation:
Divide 5000 by 9.5%, times 6.
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