A painting in a gallery measures 38.4 inches by 46 inches and costs $2.15 per square inch. What is the selling price for the painting

Answers

Answer 1

The selling price of the painting is calculated by multiplying 1,767.4 square inches by $2.15 per square inch. This gives a selling price of $3,793.41.

What is selling price?

Selling price is the amount of money that a seller charges for a product or service. It is the price that a buyer pays in exchange for goods or services. The selling price is typically set by the seller and is the amount higher than the cost of the product or service. It is the sum of all costs incurred in the production process including labor, materials, and overhead costs.

The selling price of the painting can be calculated by multiplying the total area of the painting (in square inches) by the cost per square inch.
The total area can be calculated by multiplying the width of the painting (38.4 inches) by the height of the painting (46 inches). This gives a total area of 1,767.4 square inches.
Therefore, the selling price of the painting is calculated by multiplying 1,767.4 square inches by $2.15 per square inch. This gives a selling price of $3,793.41.

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Related Questions

Select the correct answer.
Which composer created the famous opera Don Giovanni?
O A. Haydn
О в. Beethoven
O C. Mozart
O D. Bach

Answers

Answer:

C. Mozart created the famous opera Don Giovanni.

Explanation:

Don Giovanni, or Don Giovanni, Il Dissoluto Punito, K. 527, is an opera in two acts composed by Wolfgang Amadeus Mozart, with the libretto written by Lorenzo Da Ponte. It premiered in Prague on October 29, 1787. Mozart composed many operas during his lifetime, and Don Giovanni is considered one of his greatest masterpieces. The opera is known for its beautiful music, memorable characters, and dramatic plot, and is still performed and admired today.

The vi Chord within the Phrase Model
Where would you place the vi chord below?
Determine how the submediant vi chord functions in this progression.
Name the chords above the staff.

Answers

In musical composition, the VI chord is a versatile chord that can be used in a variety of harmonic contexts to create interest and variety in a such composition.

What is VI chord and where is it placed in phrase model?

The vi chord is a chord built on the sixth degree of a major or minor scale. In a major key, the vi chord is typically a minor chord, while in a minor key, it is usually a major chord.

In a phrase model, the vi chord is typically placed in the middle of the phrase, often as a transition chord between the tonic (I) and dominant (V) chords. It can also be used as a substitute for the tonic chord in some progressions, particularly in pop and rock music.

The submediant vi chord functions as a tonic substitute, creating a sense of temporary tonal ambiguity or modulation. It can also function as a pre-dominant chord, leading to the dominant chord (V) and creating a sense of harmonic tension and resolution. In some progressions, the vi chord may also be used as a pivot chord, allowing the music to modulate to a related key.

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Which of the following best describes program music?
O A. Music written to tell a story.
© B. Music written for a concert.
© C. Music written for TV.
C D. Music written to explain tonality.

answer is to tell a story

Answers

Answer:

The best description of program music is "Music written to tell a story."

Program music is a type of instrumental music that is composed to tell a story, depict a scene or image, or convey the emotions or atmosphere of a particular theme or idea. It is usually composed with a descriptive title or a program that describes the intended narrative or mood. Program music can be found in many genres, including classical music, film music, and video game music, among others.

Explanation:

Which of the following elements is most likely to be found in Baroque art, according to Wölfflin?
A. strong, linear outlines
B. even lighting that makes all elements visible
C. a composition contained within the frame of the painting
D. the use of color and light to lead the eye diagonally back into the painting

Answers

Answer:

A

Explanation:

"By linear Wölfflin means that all the figures and all the significant forms within and surrounding the figures are clearly outlined. The boundaries of each solid element (whether human or inanimate) are definite and clear; each figure is evenly illuminated, and stands out boldly like a piece of sculpture"

What are the three components of artistic unity?

Action, plot, and character
Character, place, and time
Action, place, and time
Place, plot, and conflict

Answers

Answer:

Explanation:

The three components of artistic unity are:

Action

Place

Time

These three components are important for creating a cohesive and unified work of art, whether it be a novel, a play, a painting, or any other artistic form. They help to ensure that all elements of the work are working together to create a unified whole.

The three components of artistic unity are:
Action
Place
Time

What type of business moved into Burnside in Portland’s Pearl District that encouraged people to move into the nearby empty warehouses?

Answers

Answer-
The type of business that moved into Burnside in Portland's Pearl District and encouraged people to move into nearby empty warehouses is a microbrewery, specifically the BridgePort Brewing Company.

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Sequencers cannot record sounds.
A. False, sequencers can record any sounds from an instrument.
B. False, sequencers can only record sounds made by synthesizers.
C. False, sequencers can record and manipulate sounds.
D. True

Answers

Answer:

C. False, sequencers can record and manipulate sounds.

Explanation:

answer: c false sequencers can record and manipulate sounds.

Color quantization uses changes in Blank Space__________ between Blank Space__________ that are next to each other to trace lines.

Answers

Color quantization uses changes in color intensity or color values between pixels that are next to each other to trace the lines.

What is intensity?

Intensity refers to the level of magnitude or strength of a particular phenomenon, experience, or stimulus. In physics, intensity is defined as the amount of energy that flows through a unit area in a unit of time. It can refer to various phenomena, including sound, light, and radiation. For instance, the intensity of a sound wave is related to its amplitude, or the degree of displacement of the air particles, and the frequency, or the number of waves that pass-through a given point per second. Similarly, the intensity of light depends on the amount of energy in the light wave and the area it illuminates. Overall, intensity is a crucial concept in many fields of science and can have significant effects on the outcomes of various phenomena.

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What is NOT used when plasma cutting a bevel on pipe?

Answers

The wood is not used when plasma is cutting on a bevel pipe. Thus, option (c) is correct.

What is bevel pipe?

The pipe beveling is considered a process by which the angle is formed between the edge end of the stainless steel, or the pipe tube, as well as the plane perpendicular to the surfaces. As there was, the standard pipe bevel angle for the welding is considered to be 37.5 degrees.

The working of pipe beveling, is the procedure that involves the edge of a pipe, or it can be a tube, as it is a plain that was lies on the perpendicular to the surfaces as well.

Therefore, option (c) is correct.

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The complete option is as follows:

Metals

Alloy

Wood

What is an aesthetic experience / aesthetic feeling? Can you give an example?

Answers

It is the sensitive selection or appreciation of formal, expressive, or symbolic qualities of a product or environment.

I need some fun and interesting facts about shotaro Ishinomori!​

Answers

1. He was twice awarded by the Shogakukan Manga Awards, in 1968 for Sabu to Ichi Torimono Hikae and in 1988 for Hotel and Manga Nihon Keizai Nyumon.

2. Ishimori Shōtarō prior to 1986, when he changed his family name to Ishinomori by adding the no (ノ) character in katakana.

3. During his time working under Tezuka, Ishinomori worked on Astro Boy[3] and Alakazam the Great.

4. His work posthumously awarded him the Guinness World Record for most comics published by one author, totaling over 128,000 pages across 770 titles across 500 volumes.



William Hogarth was famous for:
A. being the first native English portraitist.
B. using landscapes in his works.
C. satirizing English society.
D. introducing Classical props into his works.

Answers

Answer:

A

Explanation:

He was the first english born Great artist

The correct answer is A

What are the steps to draw a human figure?​

Answers

Answer:

Drawing a human figure can be a complex process, but the following are some general steps that can be followed:

Start by sketching the basic proportions of the body, including the head, torso, arms, and legs.

Add in more details to the body, including muscle and bone structure.

Sketch in the features of the face, including the eyes, nose, mouth, and ears.

Add in details to the hair and clothing.

Refine the sketch, erasing any unnecessary lines and adding shading and texture.

It's important to note that drawing a human figure requires an understanding of anatomy, proportion, and perspective. To create an accurate model, mathematical data such as ratios of body parts and angles of joints can be used as a reference. However, artistic skill and creativity also play a significant role in creating a realistic and engaging human figure.

Explanation:

Drawing a human figure can be a complex and challenging task, but here are some general steps that can be followed to get started:

Start with the basic shapes: Draw the head, torso, arms, and legs as simple geometric shapes. For example, you might draw a circle for the head, a rectangle for the torso, and cylinders for the limbs.
Establish proportions: Use the basic shapes as a framework to establish the overall proportions of the figure. This can be done by comparing the size and placement of different body parts to each other. For example, the arms should be roughly the same length as the legs, and the hands should reach down to about mid-thigh.
Add details: Once the proportions are established, start adding more detail to the figure. Add muscles and curves to the limbs, and define the contours of the body. Add details such as fingers, toes, and facial features.
Shade and texture: Use shading and texture to give the figure a three-dimensional appearance. Use lighter and darker tones to create the illusion of depth, and add texture to clothes and hair.
Refine and adjust: Keep refining and adjusting the figure until it looks the way you want it to. Pay attention to small details such as the position of the fingers and the shape of the eyes.
Remember, drawing a human figure takes practice, and it's okay to make mistakes. Keep practicing, and over time you will improve.

Sauces are judged on what characteristics?

Answers

Answer:

Sauces are often judged on the following characteristics:

Flavor: The overall taste of the sauce, including any herbs, spices, and other ingredients that contribute to its taste.

Aroma: The fragrance or smell of the sauce, which can be influenced by the ingredients and how they are prepared.

Color: The hue of the sauce, which can be influenced by the ingredients and cooking method.

Texture: The consistency and mouthfeel of the sauce, which can be influenced by factors such as thickness, smoothness, and viscosity.

Appearance: The visual appeal of the sauce, including its color, texture, and any visual elements such as herbs or spices that are added for garnish.

Compatibility: The degree to which the sauce complements or enhances the flavor and texture of the dish it is being served with.

Balance: The proportion of flavors within the sauce, with a balance between sweet, sour, salty, and spicy elements often being sought after.

Explanation:

How did increasing secularism impact art genres of the Northern European art during the Renaissance?

Answers

Explanation:

Explanation:

The increasing secularism during the Renaissance in Northern Europe had a significant impact on art genres. Prior to the Renaissance, most art was religious in nature and was commissioned by the Church or wealthy religious institutions. However, as secularism began to take hold, artists began to shift their focus to more secular themes and subjects.

One of the most significant art genres that emerged during the Northern European Renaissance was portraiture. As the wealthy middle class began to emerge, they wanted to commission portraits of themselves and their families to display their wealth and status. This led to a rise in portrait painting, with artists focusing on capturing the individuality and personality of their subjects.

Another genre that emerged during this period was landscape painting. As people began to appreciate nature for its own sake, artists started painting landscapes, often depicting specific locations in Northern Europe. These paintings often included detailed depictions of the natural world and were intended to convey a sense of tranquility and peacefulness.

Still life painting also emerged as a significant genre during the Northern European Renaissance. As the middle class became more affluent, they began to collect art and other objects, leading to a rise in still life painting. Artists would arrange objects such as flowers, fruits, and other household items in interesting compositions, often with symbolic meaning.

Overall, the increasing secularism during the Renaissance in Northern Europe led to a diversification of art genres, with artists exploring new subjects and themes beyond just religious art. This helped to pave the way for the emergence of modern art in subsequent centuries.

Titian most likely influenced Rubens’s use of:
A. unflatteringly realistic bodies.
B. lush color.
C. aerial perspective to convey depth.
D. All of the choices are correct.

Answers

Titian most likely influenced Rubens use of aerial perspective to convey depth. Thus, option c is correct.

What is the aerial perspective of art?

Arial perspective, also called atmospheric perspective, system of creating the vision of depth, or recession, in oil or delineation by modulating color to pretend changes affected by the atmosphere on the colors of effects seen at a distance. Notable exemplifications include the Garden Room Fresco from the Villa of Livia in Prima Porta, Italy, and the first-century Pompeian triptych Paris on Mount Ida.

With varying degrees of delicacy, explanations of the goods of atmospheric perspective were written by polymaths similar to Leon Battista Alberti and Leonardo da Vinci. The details of an object decrease the further down it's from the bystander. The tones of an object become weaker the further down it's from the bystander. The colors of an object fade gradationally the further it's down from the bystander.

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How does Jacques Louis David's "Death of Marat" function as a type of altarpiece for the new civic religion inspiring the viewer with the martyr's dedication to service?

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Jacques Louis David's "Death of Marat" depicts the French revolutionary leader Jean-Paul Marat, who was assassinated while in his bath. The painting functions as a type of altarpiece for the new civic religion by depicting Marat as a martyr to the cause of the French Revolution.

The painting is set up like a religious altarpiece, with Marat in the center, in a pose reminiscent of depictions of Christ on the cross. He is surrounded by symbols of the Revolution, including a bust of Brutus (who overthrew the Roman monarchy) and a French flag.

The painting also highlights Marat's dedication to service and his martyrdom for the Revolution. He is depicted with a quill in his hand, writing a list of enemies of the Revolution, and the knife used to kill him is prominently displayed in the foreground.

Overall, "Death of Marat" functions as a powerful symbol of the new civic religion, inspiring viewers with Marat's dedication and martyrdom for the cause of the Revolution.

MIDI changed music forever because it allowed music to be recorded for the first time.
A. False, it allowed different pieces of electronic music equipment to communicate with each other
B. False, it allowed different acoustic musical instruments to communicate with each other.
C. False, it allowed acoustic musical instruments to communicate with electronic instruments.
D. True

Answers

Answer:

False, MIDI allowed electronic musical instruments to communicate with each other, but it did not directly involve recording.

Explanation:

Could someone help solve this puzzle?

Answers

The code "S ------S-" can be deciphered using the grid above, where each letter or abbreviation represents a subgenre of jazz music. The code is Smooth jazz.

What is the code about?

The grid consists of the names of various jazz styles, such as Cool Jazz, Fusion, Rhythm & Blues, Pop, Smooth Jazz, Free Form Jazz, and Jazz-Funk. Each of these styles has a unique set of characteristics that distinguish it from the others.

Therefore, The code "S-------S-" contains ten characters, including the letter S at the beginning and end. The dashes represent unknown characters that need to be deciphered using the grid. By comparing the code with the grid, we can see that the first and last characters match the name of the Smooth Jazz style. Therefore, the missing characters must also belong to the same style, and the code can be deciphered as "SMOOTH JAZZ".

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Answer the question: What features in the ritual mask might have influenced Picasso's radical move away from realistic representation? (about the painting Les Demoiselles d'Avignon (The Young Ladies of Avignon, originally titled The Brothel of Avignon))

Answers

African art and the modern, urban avenue life of Paris greatly influenced Picasso's conception of Cubism.

In addition, Picasso became involved with the method of building and deconstruction, a fascination that is evident in his Cubist works.

What was the have an effect on of African masking traditions on Picasso's Les Demoiselles d Avignon?

It may want to additionally be seen as challenging that in Demoiselles d'Avignon the women painted wearing African-like masks are supposed to be prostitutes from Barcelona's red-light district. Picasso masks these white bodies in order to make their sexualization ideal to a European audience.

Picasso even commenced collecting African masks and displaying them in his studio while he was once working, permitting their impact to infuse his works of art. And their jagged, angular forms had been one of the most important influences that pushed Picasso into Cubism

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Over the course of Rembrandt’s career, his work grew more:
A. playful and superficial.
B. linear.
C. psychological.
D. dramatic in his use of tenebrism.

Answers

Linear I believe :) this answer makes most sense

1
Select the correct answer.
Which command can you use to draw an object composed of a combination of line segments and arcs?
OA. polyline command
О в. polygon command
O C. circle command
O D.arc command
arc command
Reset
Next

Answers

The correct command to use to draw an object composed of a combination of line segments and arcs is the A. "polyline command".

What s the polyline command ?

The polyline command allows you to draw a series of connected line segments and arcs, which can be combined to create complex shapes. This command is commonly used in computer-aided design (CAD) software and other drawing programs to create geometric shapes and designs.

While the other commands listed (polygon, circle, and arc) can also be used to create shapes, they are more limited in terms of the types of shapes they can produce.

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Explain: How did Pablo Picasso broke up and then reassembled five Spanish prostitutes using geometric shapes, angular lines, and fragmented pieces of colored glass like segments to represent his new style of Cubism.

Answers

Answer:

Pablo Picasso's Cubism is a revolutionary style of art that transformed the way we see the world. In Cubism, objects are broken down into their geometric shapes and reconstructed to form a new perspective.

In the painting "Les Demoiselles d'Avignon," Picasso broke up the traditional representation of the female form and reassembled it using geometric shapes and angular lines. The painting depicts five Spanish prostitutes, but instead of portraying them in a realistic and naturalistic way, he used a variety of shapes and colors to create a fragmented and abstracted representation of the female form.

The women's bodies are made up of a series of planes, angles, and curves, which are constructed using geometric shapes such as triangles, rectangles, and circles. These shapes are combined and arranged in a way that suggests movement, depth, and space.

Picasso also used fragmented pieces of colored glass-like segments, which are known as facets, to create a sense of depth and perspective in the painting. These facets are used to create a mosaic-like effect, which adds to the overall fragmented and abstracted appearance of the painting.

In summary, Picasso's Cubism broke up the traditional representation of the female form and reconstructed it using geometric shapes, angular lines, and fragmented pieces of colored glass-like segments to create a new perspective on art. The result was a revolutionary style of art that transformed the way we see the world.

The violin can produce different timbres. Sul ponticello is plucking the strings with a fingertip.
A. False, sul ponticello is playing close to the bridge of the instrument to produce a nasal sound.
B. False, sul ponticello is tapping the strings with the wood of the bow.
C. True
D. False, sul ponticello is playing with a mute.

Answers

Answer:

False, sul ponticello is playing close to the bridge of the instrument to produce a nasal sound.

Explanation:

Which of the following styles of art is most likely to use pastel colors?
A. Italian Baroque
B. French Rococo
C. English Restoration
D. None of the choices are correct.

Answers

Answer: B. french rococo

Explanation:

People's roles shift throughout their life as well as their capabilities. Their life situation may no longer call for their abilities, or they may no longer have the ability to meet previous demands. What would you suggest to someone going through a major life transition (such as retirement, children moving to a different state/country, etc.) on maintaining a sense of meaning when a major source has been lost?

Answers

Answer:

Going through a major life transition can be challenging, and it is normal to feel a sense of loss when a significant source of meaning in life has been lost. However, there are several things that can be done to maintain a sense of purpose and fulfillment during these times:

Explore new hobbies and interests: With newfound free time, one can explore new hobbies and interests that they have always wanted to pursue but never had the time for. This can help them discover new passions and find a new sense of purpose.

Volunteer work: Volunteering can provide a sense of purpose and fulfillment by giving back to the community and helping others. It can also be an opportunity to learn new skills and meet new people.

Stay connected with loved ones: Major life transitions can be isolating, so staying connected with family and friends is crucial. This can be through regular phone calls, video chats, or even planning trips to visit one another.

Consider a part-time job or consulting work: Retirement or losing a job can lead to a loss of identity, so taking on part-time work or consulting can help maintain a sense of purpose and provide a source of income.

Seek professional help: If the loss of a major source of meaning in life is causing significant distress, seeking professional help can be beneficial. A therapist can provide support and guidance on how to cope with the transition and find new sources of meaning and purpose.

Explanation:

What are textiles, and where were they used in Spain ?

Answers

Textiles are cloths that are woven. They were frequently used in tapestries, robes, and clothes.

Answer:

here:

Explanation:

Textiles are cloths that are woven. They were frequently used in tapestries, robes, and clothes.

Using the textbook, “Understanding the Music Past and Present” by N. Alan Clarke, Thomas Heflin, Jeffery Kluball, and Elizabeth Kramer, Discuss the listening sample, “ The Voice of Him that Crieth in the Wilderness.”

A. What melodic texture does it have?

B. What era is it from?

C. What is the tempo?

D. Who is the composer?

E. What style of music is it

Answers

"The Voice of Him that Crieth in the Wilderness" is a piece of sacred choral music based on a text from the Book of Isaiah. As such, it features multiple vocal parts singing in harmony, creating a polyphonic texture. It is likely that the piece has a homophonic texture as well, meaning that the different vocal parts move together rhythmically, creating a clear melody.

P.S. Without knowing which specific version of "The Voice of Him that Crieth in the Wilderness" the question refers to, it is difficult to pinpoint the exact era and composer. However, there have been many musical settings of this text over the centuries, ranging from medieval chant to contemporary classical music. It is possible that the version in the textbook is from the Baroque era, as this was a popular period for sacred choral music.

What is Music  about?

The tempo of "The Voice of Him that Crieth in the Wilderness" could vary depending on the specific interpretation and arrangement. However, in general, sacred choral music tends to have a slow, measured tempo to convey a sense of solemnity and reverence.

. Many famous composers have written musical settings of the text,including Johann Sebastian Bach, George Frideric Handel, and Felix Mendelssohn.

Therefore, In terms of musical style, "The Voice of Him that Crieth in the Wilderness" is a piece of sacred choral music, which means that it is written for use in religious services. As such, it is likely to have a formal, reverential quality, with an emphasis on clear vocal lines and harmony.

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which of the following is true about anecdotes? They have a beginning and middle, but no conclusion

Answers

One of 2 reasons is frequently served by an anecdote or short narrative. It may aim to provoke thought or have a humorous goal.

What in an anecdote is true?

A brief, complete story is what constitutes an anecdote. The majority of anecdotes center on a single, straightforward theme or occurrence. Anecdotes can be factual or made up (or fall in the middle when it came to embellishment), and the tone can be anything from grave advice to humorous commentary. Anecdotal evidence might take the form of a personal story or a common experience. Anecdotal evidence includes things like a neighbor's doctor experience, their assessment of a college, or a three-star internet hotel rating.

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The emotional nature of Baroque art in Italy was an expression of:
A. religious feeling.
B. patriotism.
C. revolutionary impulse.
D. the fear of the end of the world.

Answers

Answer: It is c

Explanation:

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How did the north enforce reconstruction Which of the following expressions is equivalent to 2 to the power of 3x 4? the quantity 1 to the power of x end quantity over 8 the quantity 3 to the power of x end quantity over 4 the quantity 6 to the power of x end quantity over 8 the quantity 8 to the power of x end quantity over 16 Linier ALgebra : Let W E R^nxn, s E R, and an eigenvalue of W. Prove that s is an eigenvalue of W s. (As usual, I = Inxn denotes the n x n identity matrix.) Given that the polynomial [tex]f(x)[/tex] has 9 turning points, which of the following most accurately describes the degree of [tex]f(x)[/tex]?A. The degree of F(x) is at most 10.B. The degree of F(x) is at most 8.C. The degree of F(x) is at least 10.D. The degree of F(x) is at most 9.E. The degree of F(x) is at least 9.F. The degree of F(x) is at least 8. PLEASE HURRY IM FAILING What is the slope of the line shown below? slope =sloperise/run As you plan, think about these questions. What is the context of the story? What point of view will work best? What choice will the character face? What happens because of the choice? Plan your narrative by writing notes. Use the questions to help you plan. I 3x+4y=36 find y and x The process of osmosis in an animal cell There are 5 yellow, 4 green and 3 black balls in a bag. All the 12 balls are drawn one by one and arranged ina row. Find out the number of different arrangements possible. Write the slope-intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through (-9,-3) and is perpendicular to the line whose equation is x=-3 Where is the city of Rome located?A: in a flat region known as Mare NostrumB: in the Alps in northern ItalyC: on the island of SicilyD: on seven hills on the west coast of ItalyPLEASE HELP!! childrens chewable tylenol contains 80. mg acetaminophen per tablet. If the measure dosage is 10. mg of drug per tablet of body mass, then how many tablets are needed for a 42 pound child? A) move the sensor in a way such that the intersection of crosshairs remains on the line. Does the number on the sensor change? what is the physical meaning of this line? A number of tRNA anticodon mutations have been described in E. coli. In one, instead of having a CAU anticodon, the mutant tRNA has a CUU anticodon. Remember that sequences are given always in the 5 to 3 direction and assume that the tRNA is charged normally, i.e., as expected for its normal anticodon.The original CAU anticodon binds to which codon?The tRNA has what amino acid attached to it? Ill refer to this later as Amino Acid 1. Use either the three letter or the one letter AA code.The mutant CUU anticodon binds to what codon?What amino acid should be associated with the second codon, i.e., the one recognized by the mutant anticodon? Ill refer to this later as Amino Acid 2.So will some of the amino acid 1 be replaced by Amino acid 2 or will some of amino acid 2 be replace by amino acid 1? Write "some 1 replaces 2" or "some 2 replaces 1"A number of tRNA anticodon mutations have been described in E. coli. In one, instead of having a CAU anticodon, the mutant tR A circle has 36 pi square meters what is the circumference of this circle Which of these BEST expresses the main idea of a speech arguing that students should carpool to school? A) Carpooling can help decrease the level of carbon dioxide emissions. B) Many students who don't have their licenses ride the bus to school. C) Students enjoying talking to and catching up with friends before classes. D) Most students are excited to drive to school once they receive their licenses. The volume of a cylinder is 180 pi cubic inches and the radius of the cylinder is 3 inches. what is the height of the cylinder 1. Show that the seriesn=1[infinity](1)n1(3n+5)3ln(n+2)+31is convergent, and determine how many terms of the series we need to add to find the sum within0.05. Is this series absolutely convergent? Justify your answer. 2. Determine whether the seriesn=1[infinity](1)n13n+4ln(5n+2)is absolutely convergent, conditionally convergent or divergent. Xiomara claims that all the segments in ABC are parallel to the corresponding segments in A'B'C. 1. Write Xiomara's claim as a conjecture. 2. Prove your conjecture. 3. In Xiomara's diagram the scale factor was greater than one. Would your proof have to change if the scale factor was less than one?