The solid whose base is the triangle with vertices , , and and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles.
Answers
The volume of the solid is \(\frac{a^{3}}{3}\) cubic units.
How to find the volume of a solid by slice integration methodFirst, we need to determine the coefficients linear function behind the hypotenuse of the triangle by solving the following system of linear equations:
\(a\cdot m + b = 0\) (1)
\(b = a\) (2)
Where:
\(m\) - Slope\(b\) - InterceptThe solution of the system is: \(m = -1\), \(b = a\). Thus, the equation of the line is \(y = -x + a\).
The integral expression for the solid volume is described below:
\(V = \int\limits_{0}^{a} {A(x)} \, dx\) (3)
Where \(A(x)\) is the cross section area function.
If we kwow that \(A(x) = \pi\cdot y^{2}\), then the volume of the solid is:
\(V = \int\limits^a_0 {(-x+a)^{2}} \, dx\) (4)
\(V =\int\limits^a_0 {(x^{2}-2\cdot a\cdot x + a^{2})} \, dx\)
\(V = \int\limits^a_0 {x^{2}} \, dx -2\cdot a\int\limits^a_0 {x} \, dx + a^{2}\int\limits^a_0 {dx}\)
\(V = \frac{a^{3}}{3}-a^{3}+a^{3}\)
\(V = \frac{a^{3}}{3}\)
The volume of the solid is \(\frac{a^{3}}{3}\) cubic units. \(\blacksquare\)
RemarkThe statement is incomplete and poorly formatted, correct form is shown below:
Find the solid whose base is the triangle with vertices \((0, 0)\), \((0, a)\) and \((a, 0)\) and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles.
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Related Questions
Does your skate park playground ramp design support the law of conservation of energy? Use evidence to explain why or why not. Be sure to include both parts of the law of conservation of energy in your answer.
Answers
The skate park playground ramp is a typical example of the law of conservation of energy.
What is conservation of energy?Let us recall that energy is neither created nor destroyed. This is what we call the law of conservation of energy. Now we know that energy can be changed from one form to another. The skate park playground ramp is a typical example of the law of conservation of energy.
Let us recall that the total mechanical energy is constant and mechanical energy can be converted from kinetic energy to potential energy and vice versa.
Having said, this, as the skate park playground ramp moves from one end to another, there is conversion of mechanical energy to kinetic energy and vice versa. This continues as long as the skate park playground ramp is being used. Thus the total mechanical energy is conserved.
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I need help asap please? and this is for the sat question? why do people lie to others
Answers
Find the probability of getting 6 or more girls in 8 births.
Answers
Answer:
The probability of getting a girl is 12 . The probability of getting 6 girls is therefore (12)6 . Since we have 6 girls, we also need to find the probability of getting 2 boys, which is (12)2 . There are (86)=28 ways to get 6 girls out of 8 children.
Explanation:
Answer:
Explanation:
P(X > 6) = ?
P(X > 6) = P(X = 6) + P(X = 7) + P(X = 8)
P(X > 6) = 0.118 + 0.035 + 0.004
P(X > 6) = 0.157
Thus the probability of getting 6 or more girls in 8 births is 0.157
Which inequality has the solution shown below?
-18 -17 -16 -15 -14 -13 -12
0.3.1 +8 <3
0.4.1 +7<1
0.52 +6 > 3
0.2.r+ 5 > 2
Answers
Answer: -105
Explanation:
all the pupils at the knight school Gawaine le Cur-Hardy was among the least promising. He was tall and sturdy, but his instructors soon discovered that he lacked spirit. He would hide in the woods when the jousting class was called, although his companions and members of the faculty sought to appeal to his better nature by shouting to him to come out and break his neck like a man. Even when they told him that the lances were padded, the horses no more than ponies and the field unusually soft for late autumn, Gawaine refused to grow enthusiastic. The Headmaster and the Assistant Professor of Pleasaunce were discussing the case one spring afternoon and the Assistant Professor could see no remedy but expulsion.
“No,” said the Headmaster, as he looked out at the purple hills which ringed the school, “I think I’ll train him to slay dragons.”
“He might be killed,” objected the Assistant Professor.
“So he might,” replied the Headmaster brightly, but he added, more soberly, “we must consider the greater good. We are responsible for the formation of this lad’s character.”
“Are the dragons particularly bad this year?” interrupted the Assistant Professor. This was characteristic. He always seemed restive when the head of the school began to talk ethics and the ideals of the institution.
“I’ve never known them worse,” replied the Headmaster. “Up in the hills to the south last week they killed a number of peasants, two cows and a prize pig. And if this dry spell holds there’s no telling when they may start a forest fire simply by breathing around indiscriminately.”
“Would any refund on the tuition fee be necessary in case of an accident to young Cur-Hardy?”
“No,” the principal answered, judicially, “that’s all covered in the contract. But as a matter of fact he won’t be killed. Before I send him up in the hills I’m going to give him a magic word.”
“That’s a good idea,” said the Professor. “Sometimes they work wonders.”
6. What is this passage about?
The problems that may arise from fighting dragons
How the educators would change Gawaine’s course of study
The way the Professor and the Headmaster taught about dragons
Giving Gawaine a magic word to help him fight dragons
7. What is the best way to describe Gawaine’s character?
Fearless and excitable
Careless and frigid
Spiritual and careful
Cowardly and apathetic
8. What is the meaning of “his better nature”?
An increased sense of honesty
A man’s ignoble ideas
A desire for propriety
A man’s nobler instincts
Answers
Answer:
6.B
7.D
8.D
Explanation:
6.While some of the other choices are mentioned in the selection, they do not adequately explain what the entire selection is about.
7.Gawaine is said to be tall and sturdy, but would run away and hide at the smallest sign of trouble.
8.“His better nature” is a common way of talking about a person’s deeper character.
Listen to this audio clip:
Which element of music is this BEST illustrating?
A. Dynamics
B. Rhythm
C. Melody
D. Pitch
Answers
Dynamics, Rhythm, Melody, and Pitch are all important components of music.
What are the music elements about?Dynamics refer to the variations in volume or intensity of sound, ranging from soft to loud. It is the way a musician controls the loudness or softness of a piece of music.
Rhythm is the pattern of sounds and silences in a piece of music that create a sense of movement and flow. It is the timing of the music, the beat that you can tap your foot or dance to.
Melody refers to the sequence of pitches and notes that make up a musical phrase or a tune. It is the main line of music that is easy to remember, sing or whistle.
Pitch is the highness or lowness of a sound or musical tone. It is the quality that distinguishes one note from another, and is related to the frequency of the sound wave.
An overview was given as your information is incomplete.
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How does the soldier describe the rat infestation in the trenches? Check all that apply. The rats were numerous. The rats were easy to kill off. The rats ate the soldiers’ food. The rats were very unpleasant. The rats were smaller than normal.
Answers
Answer:
How does the soldier describe the rat infestation in the trenches? Check all that apply.
The rats were numerous. <<<CORRECT The rats were easy to kill off. The rats ate the soldiers’ food.<<<CORRECT The rats were very unpleasant.<<<CORRECT The rats were smaller than normal.
Explanation:
Oct. 2021 EDGE
The rats were numerous, The rats ate the soldiers’ food and The rats were very unpleasant are the soldier describe the rat infestation in the trenches. Hence, options A, C and D are correct.
What is rat infestation?Rodents are drawn to cluttered spaces because they frequently use cardboard, paper, cloth, cotton, insulation, and any other item that can be molded, gnawed, or shredded as nesting materials to make a safe, out-of-the-way home.
These signs of a rat or mouse infestation include: Rodents may leave their droppings under the sink, in cupboards or drawers, or near food packages. materials for nesting, such as paper, fabric, or dried plant matter.
The rat is the spirit animal of success and restlessness. As a totem or spirit animal, it might stand for discomfort. It serves to emphasize the value of business knowledge.
Thus, options A, C and D are correct.
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change the sentence to include a direct object pronoun: el chico está escuchando la canción.
Answers
The sentence "El chico la está escuchando" includes a direct object pronoun.
Direct object pronouns in Spanish include the words:
MeTeLaLoLos/LasThese words are used to replace the direct object.
Me = Replaces direct objects related to "yo" (I)Te = Replaces direct objects related to "tu"La = Replaces feminine singular objects. For example "la rosa" (the rose)Lo = Replaces masculine singular objects. For example "el gato" (the cat)Los/Las = Replace plural objects such as "los niños"/ "las niñas" (the kids)In the sentence "El chico está escuchando la canción" the direct object is "la canción" this is a feminine singular noun that can be replaced with "la" as "el chico la está escuchando".
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Who invented Rap Music does anyone know
Answers
Answer:
DJ Kool Herc is widely credited with kicking off the genre. His back-to-school parties in the 1970s were the incubator of his burgeoning idea, where he used his two record turntables to create loops, playing the same beat over again, and extending the instrumental portion of a song.
Explanation:
During an activity analysis, a human resources manager determined that an employee spent 1.7
hours making work calls one week, which was 4% of the employee's total work hours for the
week. How many hours did the employee work?
Answers
Answer: 42.5 hours
Explanation:
Let the number of hours that the employee work be represented by x.
Since the employee spent 1.7 hours making work calls one week, which was 4% of the employee's total work hours for the week, this can be represented in an equation as:
4% × x = 1.7
4/100 × x = 1.7
0.04 × x = 1.7
0.04x = 1.7
x = 1.7 / 0.04
x = 42.5 hours
The employee worked for 42.5 hours
Which octet of the subnet mask 255. 255. 255. 0 will tell the router the corresponding host id?
Answers
Answer: The last octet of the subnet mask tells the router the corresponding host ID.
Explanation:
Which of the following is NOT made up of atoms?
A) Heat
B) A gas
C) A cell
D) A solid
Answers
Answer:
I think option (a) heat is the right answer
Answer:
a im sure since solid and a cell is made out of atoms
and here is a fact for air
The air is made up of atoms, mostly those of nitrogen and oxygen. This page is maintained by Steve Gagnon .
so the answer is A heat has no atoms at all
Three reasons why lron cannot be used to make a replacement joint
Answers
Iron's susceptibility to corrosion, poor biocompatibility, and lack of mechanical strength make it unsuitable for use in replacement joints.
First of all, iron is very prone to corrosion when exposed to moisture and oxygen, which might eventually cause the joint to degrade. The joint may become unsuitable for long-term usage in the human body due to corrosion, which can degrade the joint's structural integrity and affect its functionality.
Second, iron has poor biocompatibility, which means that when it comes into touch with live tissues, it may result in unfavourable reactions and tissue responses. This may cause inflammation, immunological reactions, and even the immune system of the body rejecting the joint. Materials with strong biocompatibility are selected to guarantee a successful replacement joint to reduce the risk of problems and enhance patient outcomes.
The mechanical strength needed for a replacement joint is also lacking in iron. In order to endure the loads and forces that joints are subjected to during movement, a material must be strong enough. Iron is a powerful metal, but it might not have the best mechanical qualities, such as high tensile strength, fatigue resistance, and longevity, needed for a joint replacement.
These factors lead to the use of other materials, such as titanium alloys or cobalt-chromium alloys, which provide higher corrosion resistance, biocompatibility, and mechanical qualities suited for long-term usage in the human body.
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according to the greek mythology,who's the mother of Athena?
Answers
Chose the best response for each question
Cómo se llama tu amigo?
Answers
A. Se llama Miguel.
Explanation:
When answering a question, the answer will almost always match the question in the tense being used. Therefore the answer must be "Se llama Miguel". Everything translates to "What's your friend's name?" "His name is Miguel".
Which group represents external customers of an organization
Answers
The discussion of the greatest of poets and philosophers.
Answers
Answer:
recognize an implicit reference to Shakespeare and agree about his importance
Explanation:
Some forestry professions work for logging companies
True or false
Answers
Answer:
true
Explanation:
Answer:
true
Explanation:
Jason begins at the start of a path and rides his bike
11
1
2
11
2
1
miles on the path.
The path is
12
1
4
12
4
1
miles long.
Enter the distance, in miles, Jason must ride to reach the end of the path
Answers
The distance, in miles, Jason must ride to reach the end of the path will be 3/4 miles.
How to calculate the fractionA fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Jason begins at the start of a path and rides his bike 11/1/2 miles on the path. The path is 12/1/4 miles long. The distance, in miles, Jason must ride to reach the end of the path will be:
= 12 1/4 - 11 1/2
= 3/4
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Jason begins at the start of a path and rides his bike 11/1/2 miles on the path. The path is 12/1/4 miles long. Enter the the distance, in miles, Jason must ride to reach the end of the path.
L 8.1.2 Exam: Semester Exam
Which statement best summarizes the following portion of the Declaration of
Independence?
We hold these truths to be self-evident, that all men are
created equal, that they are endowed by their Creator with
certain unalienable Rights, that among these are Life,
Liberty and the pursuit of Happiness.. That to secure
these rights, Governments are instituted among Men,
deriving their just powers from the consent of the
governed, That whenever any Form of Government
becomes destructive of these ends, it is the Right of the
People to alter or to abolish it, and to institute new
Government, laying its foundation on such principles and
organizing its powers in such form, as to them shall seem
most likely to effect their Safety and Happiness.
-
O A. Governments tend to interfere with people's rights.
B. All human beings are equal and should have an equal share of the
land.
ty
O
C. People have certain rights and it is the role of government to
protect those rights.
Answers
The statement that best summarizes the following portion of the Declaration of Independence is "People have certain rights and it is the role of government to protect those rights." (Option C)
How is this so?The statement emphasizes that all individuals are inherently equal and possess unalienablerights such as life, liberty, and the pursuit of happiness.
It asserts that governments are established to safeguard these rights and derive their power from the consent of the governed.
If a government fails to upholdthese principles, the people have the right to change or replace it with a new government that prioritizes their safety and well-being.
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Why can Dry food such as instant noodles, biscuits and potato chips be stored for a long time
Answers
Answer:
Dry foods such as instant noodles, biscuits and potato chips can be stored for a long time because they contain very little moisture. Moisture is what causes food to spoil quickly. Dry foods that contain less than 10 percent of moisture are the perfect candidates for long-term storage. Anything higher than ten could be difficult. 13% is a crucial number, with any foods higher than that posing too high of risk towards bacteria, mold, and fungus growth.
To store dry food properly, it should be kept in a cool and dry place. The storage temperature helps determine the length of storage; the higher the temperature, the shorter the storage time. Dried foods are susceptible to insect contamination and moisture reabsorption and must be properly packaged and stored immediately.
Explanation:
Hope this helps
Answer:
well exposing this things to air can make them spoil meaning they put preservatives in the packet of the biscuits the preservatives arent perment so they could spoil in the case,while exposing them to air can make them soft leading to spoilage
Why is it important to have media coverage of government elections? It may be the only accessible source of information on the issues and candidates for a particular group of people. It helps people have a comprehensive understanding of all of the issues. It introduces the public to only the candidates who have the best chance of winning. It encourages people to vote for the right candidate based on the media’s informed opinions.
Answers
Media coverage of an election involves the use of several mass media options in reporting the state of events during the electoral or voting process. Hence, it allows people to have comprehensive understanding of all the issues during the process.
Media usage involves televisions, radio and various news and blogging agencies reporting and keeping the masses informed in the state of events in the electoral process. Coverage allows the masses to have a comprehensive understanding of the issues arising during the election process. The aim of media coverage is not to introduce bias or manipulate the electoral process.Therefore, the importance of media coverage is to allow people have a comprehensive understanding of all issues.
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Answer: A
Explanation:
edge 100%
Explain (or list) at least five reasons why you will benefit from going to college or trade school.
Answers
Answer:
1. Improved job prospects:
By completing a degree or trade program, you can have access to more job opportunities and higher-paying jobs.
2. Enhanced skills and knowledge: College and trade school education can equip you with the skills and knowledge needed to excel in your chosen field.
3. Networking opportunities: Attending college or trade school can help you build professional networks that can be useful for career advancement.
4. Personal growth: College or trade school can help you develop independence, critical thinking, and other essential skills that can benefit you throughout your life.
5. Greater earning potential: Completing a college degree or trade program can lead to higher earnings and a better quality of life in the long run.
The event in which a heavy metal ball is is thrown from the neck as far as possible
Answers
Answer:
shot put
Explanation:
it is a sport in track
noun
An athletic contest, in which a very heavy and dense globular ball gets spun and thrown as far as the contestants ability.
If you randomly choose 2 test takers, what is the probability that both score less than 396?
Answers
The probability that both scores of the two test takers will be less than 396 is 0.0036, or 0.36%.
How to calculate the probability?The probability that a single test taker scores less than 396 can be found using the standard normal distribution and the z-score formula:
z = (396 - 507) / 111
z = -1.54
Using a standard normal table, we can find the probability of getting a score less than -1.54 is approximately 0.06.
To find the probability that both test takers score less than 396, square the probability of a single test taker scoring less than 396:
0.06² = 0.0036
Therefore, the probability that both test takers score less than 396 is approximately 0.0036, or 0.36%.
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The complete question is:
The verbal section of the 2003 SAT exam is normally distributed with a mean of 507 and a standard deviation of 111. If you randomly choose 2 test takers, what is the probability that both score less than 396?
Molecules are composed of atoms. How are molecules held together?.
Answers
Answer:
Molecules are held together by shared electron pairs, or otherwise known as covalent bonds.
Explanation:
Who should you NOT contact of you think you are the victim of identity theft or fraud? (Everfi)
1) credit card companies
2)your financial institution
3)your local elected official like the mayor
4) the credit bureaus
Answers
Priority would be credit companies or insurance companies
In a(n)
program, a student must pass an exam at the end of course with a 3 out of 5 in order to get college credit. Some colleges require even higher scores or they will not accept the credit. Shelby is in a college course for half the day and then goes to high school. What program is she in?
A. International Baccalaureate
B. Advanced Placement
C. Dual Credit
D. Articulated Credit
Answers
C, Shelby is in a dual credit course
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The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 92 pounds. A random sample of 90 newly manufactured cables has a mean breaking strength of 1700 pounds. Based on this sample, find a 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place
Answers
Answer:
To find the 95% confidence interval for the true mean breaking strength of all cables produced by the manufacturer, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:
Standard Error = Standard Deviation / √(Sample Size)
= 92 / √(90)
≈ 9.685
Next, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is large (n > 30), we can use the z-table. The z-value for a 95% confidence level is approximately 1.96.
Now we can calculate the confidence interval:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
= 1700 ± (1.96 * 9.685)
Lower Limit = 1700 - (1.96 * 9.685)
≈ 1679.69
Upper Limit = 1700 + (1.96 * 9.685)
≈ 1720.31
Therefore, the 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer is approximately (1679.7, 1720.3). The lower limit is 1679.7 pounds, and the upper limit is 1720.3 pounds.
Sino gusto sumali sa meet ko
ito code:-
zcn-mqti-ssh
UwU
Answers
Answer:
hmm...I don't understand