The dimensions of the cylinder that has the maximum volume can be
found be finding the maximum value of the volume function.
[tex]\mathrm{The \ \underline{height \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8}{\sqrt{3} }}}[/tex][tex]\mathrm{The \ \underline{radius \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8 \cdot \sqrt{6} }{3}}}[/tex]Reasons:
The known parameter of the hemisphere are;
The radius of the hemisphere = 8
Required;
The radius and height of the maximum volume of the inscribed cylinder.
Solution:
Let h represent the height of the cylinder, and let r represent the radius of
the cylinder, we have;
r² + h² = 8²
Therefore;
r² = 8² - h² = 64 - h²
r² = 64 - h²
The volume of the cylinder, V = π·r²·h = π·(64 - h²)·h
V(h) = π·(64·h - h³)
At the maximum volume, we have;
[tex]\dfrac{dV(h)}{dh} = \dfrac{d}{dh} \left(\pi \cdot \left(64 \cdot h - h^3 \right) \right) = \pi \cdot \left(64 - 3 \cdot h^2 \right) = 0[/tex]
64 - 3·h² = 0
64 = 3·h²
[tex]h =\sqrt{\dfrac{64}{3} } = \dfrac{8}{\sqrt{3} }[/tex]
[tex]\underline{\mathrm{The \ height \ of \ the \ cylinder, \ h} = \dfrac{8}{\sqrt{3} }}[/tex]
[tex]r^2 = 64 - \dfrac{64}{3} = \dfrac{128}{3}[/tex]
[tex]r =\sqrt{\dfrac{128}{3}} = \dfrac{8 \cdot \sqrt{6} }{3}[/tex]
[tex]\underline{\mathrm{The \ radius \ of \ the \ cylinder, \ } r = \dfrac{8 \cdot \sqrt{6} }{3}}[/tex]
Learn more here:
https://brainly.com/question/14104351
How many ways can we award first and second place to 5 competitors.
Answer:
There are 5 choices of prize for the first person, 4 choices for the second, and so on. The number of ways the prizes can be distributed will be 5! = 5 · 4 · 3 · 2 · 1 = 120 ways.
Explanation:
A rock is thrown from the upper edge of a tall cliff.
Answer:
It come down from the tall cliff
Ben is explaining to his dad what unbalanced forces are. He uses arm wrestling as an example. Which of the following is the best explanation that Ben can use?
If Ben and his dad push their arms with an equal force, the forces are unbalanced.
Since Ben and his dad have different weights, the forces are unbalanced.
If Ben and his dad push their arms with different forces, the forces are unbalanced.
If Ben and his dad's hands do not change positions at the start of the game, the forces are unbalanced.
Answer: C
Explanation: I hope this helps
It is also known as jingju lianpu that is done with different colors in accordance with the performing characters, personality and historical assessment.
The traditional form of make-up worn in other to draw resemblance or attain a certain type of effect related to the personality of the character portrayed in an opera is called the Peking Opera.
In other to conform with the nature or attribute of a certain character which is mimicked in an opera, the use of face - paints which signals different historical effects are used. The Peking opera is very common in the Chinese traditional culture, the gold color symbolizes being god fearing and other color symbols.Learn more : https://brainly.com/question/25707319
The synthesis of which molecule(s) could be affected by the mutation of dna?.
Answer:
mRNA
Explanation:
The synthesis of mRNA molecules could be affected by the mutation of DNA.
What is DNA mutation?DNA mutation results in a modification in an organism's DNA sequence. Mutations are required for evolution to take place. Although the vast majority of mutations have no effect on the species in which they arise, certain mutations are advantageous while some are harmful.
In frameshift mutations, the Messenger RNAs (mRNAs) are molecule found in cells that transports information from the nucleus to the locations of protein production in the cytoplasm, direct cellular damage to the DNA can trigger the synthesis of mRNA molecules during the process can affect the mutation of DNA.
https://brainly.com/question/2570717
Learn more about DNA mutation here:
#SPJ2
A probe orbiting Venus exerts a gravitational force of 2. 58 × 103 N on Venus. Venus has a mass of 4. 87 × 1024 kg. The mass of the probe is 655 kilograms. The gravitational constant is 6. 67 × 10-11 N*m2/kg2. To three significant digits, the probe is × 106 m from the center of Venus.
Answer:
9.08
Explanation:
To solve for the distance between the probe and the center of Venus, use the formula:
[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]
Plugin the values:
G =
[tex]6.67\times10^{-11} \mathrm{\frac{m3}{kg\: s2}}[/tex]
[tex]\mathrm{F} =2.58 \times 10^3\mathrm{N}[/tex]
[tex]\mathrm{m1 = 4.87 \times 10^{24}\:kg}[/tex]
[tex]\mathrm{m2 = 655\: kg}[/tex]
Hence:
[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]
[tex]2.58 \times 10^{23} = 6.67 \times 10^{-11} (4.87 \times 10^{24})[/tex]
[tex]\frac{(655)}{r^2}[/tex]
[tex]\mathrm{r = 9.08 \times 10^6 \:km}[/tex]
Which of these is the function of the external oblique muscles?.
The external oblique muscle is located in the abdomen, towards the anterior and lateral part, whose function is related to the rotation of the torso and lateral compression of the abdomen.
The external oblique muscle is a muscle with skeletal striated fibers, together with the minor oblique, pyramidal, transverse and rectus major are those located in the anterior and lateral abdominal area.
Its main function at the moment of contracting its fibers on one side of the abdomen, is to produce a rotation of the thorax accompanied by the movement of the upper part of the contracted muscle to the opposite side.Participates in forced expiration and stabilizes the lumbar spine when lifting weights and the muscles that originate from the pelvis.
Therefore, we can conclude that the external oblique muscle determines lateral (ipsilateral) flexion and rotation to the contralateral side.
Learn more about the external oblique muscles here: https://brainly.com/question/12993894
Choose the best word to complete the phrase. ____ (I see) la librería. Voy Ves Veo Vo.
Answer:
C
Explanation:
We will fill in the blanks with the indicated verb.
How to conjugate a verb in spanish?Verbs are divided into three groups called conjugations, which are identified by ending the verbs in their unconjugated infinitive form.
Each of the conjugations has its own inflections, but usually the second and third are very similar.
Veo (I see) la libreria. Learning Spanish takes practice, and that's great practice. Aprender español requiere práctica, y eso es una gran práctica. The verbs in a sentence are the action words that describe what the subject is doing. Verbs, which describe what is happening, are the primary component of a sentence or phrase together with nouns.
Therefore, We will fill in the blanks with the indicated verb.
To learn more about Verbs, refer to the link:
https://brainly.com/question/14574299
#SPJ5
What does daisy reveal when the group is at the plaza hotel.
Answer:
She knows why she and Tom had to leave Chicago.
Explanation:
Answer:
She knows why she and Tom had to leave Chicago.
Explanation:
Which theme is revealed by orwell’s use of situational irony in this excerpt? leaders should not be trusted. Ideals can become mocked in practice. Naïve citizens allow corrupt governments. Equality applies to all social classes.
Answer:
C
Explanation:
Edge 2021
The theme revealed by Orwell’s use of situational irony in the excerpt is naïve citizens allow corrupt governments. Hence option c is correct.
What is irony?Irony is defined as the comparison of what appears to be true on the surface with what is true or what is expected; this is a crucial rhetorical and literary tactic. The use of a mocking tone by the character is verbal irony and shows sarcasm.
The other animals were kept under the tyranny of the pigs enough to allow them to maybe realize that they had been duped by the false principles of the uprising. In the end, Napoleon uses the animals' gullibility to reinforce his dictatorship, in which the pigs can live comfortably at the expense of the other creatures.
Thus, the theme revealed by Orwell’s use of situational irony in the excerpt is naïve citizens allow corrupt governments. Hence option c is correct.
To learn more about irony, refer to the link below:
https://brainly.com/question/1695719
#SPJ2
A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) which statement about (2x – 3)(5x + 9) is true?.
Answer:
b.
Explanation:
Answer:
B
Explanation:
i took the test
List and describe four ways in which colleges use ACT scores.
if its correct u get brainly
Colleges use ACT scores as a key factor in the admission process, scholarship, placement and eligibility
Admission: Colleges use ACT scores as a key factor in the admission process. Many colleges have a minimum ACT score requirement for admission, and students who score below the minimum may not be accepted. The score also helps admissions officers evaluate applicants and determine their academic preparedness for college.
Scholarship awards: Many colleges offer scholarships based on ACT scores. Students who score high on the ACT may be eligible for more scholarship money, which can help offset the cost of tuition.
Placement: Colleges use ACT scores to place students in appropriate courses. Students who score well on the ACT may be able to bypass introductory courses and enroll in higher-level courses, while students who score lower may need to take remedial courses to build foundational knowledge.
Program eligibility: Some programs at colleges have specific ACT score requirements for admission. For example, students who want to enter a pre-med or engineering program may need a minimum ACT score to be considered for admission. The score also helps determine eligibility for honors programs or other specialized programs within the college.
Read more about colleges at
https://brainly.com/question/27857320
#SPJ1
What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot 2 x squared StartRoot 6 EndRoot) squared 80 x Superscript 4 Baseline 8 x Superscript 4 Baseline StartRoot 30 x EndRoot 24 x Superscript 4 80 x Superscript 6 Baseline 8 x Superscript 5 Baseline 8 x Superscript 5 Baseline StartRoot 30 EndRoot 24 x Superscript 4 104 x Superscript 4 104 x Superscript 4 16 x Superscript 4 Baseline StartRoot 30 EndRoot.
Answer:
1
Explanation:
Answer:
D
Explanation:
you just gotta trust me
A second citizen proposes allowing the private company to charge different prices to different citizens and auctioning the right to build the museum to the highest bidding company. Again, only the citizens who pay the fee may view the museum. What is the highest bid a private company would make to supply the museum to smallsville? (hint: consider the revenue a perfectly price discriminating monopolist could earn relative to the annual interest payment of $1,000. ).
Answer:
a.cademics.helper
Explanation:
get the answer from here
What is the factored form of the polynomial? x2 – 16x 48 (x − 4)(x − 12) (x − 6)(x − 8) (x 4)(x 12) (x 6)(x 8).
Answer:
(x-4)(x-12)
Explanation:
+
Break the expression into groups
[tex](x^2 - 4x) + (-12x+48)\\[/tex]
Factor out x from x^2 - 4x : [tex]x(x-4)\\[/tex]
Factor out -12 from -12x + 48: [tex]-12(x-4)[/tex]
= x(x-4)-12(x-4)
Factor out common term x-4
= (x-4)(x-12)
Which best describes what financial planning skills ultimately enable an individual to do? to prepare for the future to determine lifetime income to determine the cost of living to learn from the past.
Answer:
A. Prepare for the future
Explanation:
At stp which gas will diffuse more rapidly than ne.
Answer:
neon
Explanation:
The function h(x) is defined as shown. H(x) = StartLayout Enlarged left-brace 1st row 1st column x 2, 2nd column x less-than 3 2nd row 1st column negative x 8, 2nd column x greater-than-or-equal-to 3 EndLayout What is the range of h(x)? –[infinity] < h(x) < [infinity] h(x) ≤ 5 h(x) ≥ 5 h(x) ≥ 3.
Answer:
The correct answer would be the third choice. (B)
Explanation:
The range of h(x) as per the given data will be h(x) ≤ 5. The correct option is B.
What is a function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.
The function is continuous and has a maximum value of 5 in the specified condition. The range of it is h(x) ≤ 5.
Thus, the correct option is B.
For more details regarding function, visit:
https://brainly.com/question/29633660
#SPJ5
What does ms. Willow mean by the note she wrote in jerome's card?.
Answer:
can you elaborate???
Explanation:
Answer:
If you would please attach the note too so we can answer I'd love to help.
Explanation:
Please select the word from the list that best fits the definition A democratic system in which the named "ruler" is a symbolic head of state, and power rests in the hands of elected officials. Democracy monarchy constitutional monarchy democratic socialism.
Answer:
Constitutional Monarchy
Explanation:
just did it
A democratic system in which the named “ruler” is a symbolic head of state, and power rests in the hands of elected officials is the constitutional monarchy.
What is Constitutional monarchy?Constitutional monarchy is a form of state in which there is separation of powers, where the monarch holds the Executive Power appointing the government, while the Legislative Power, is exercised by an assembly or parliament, usually elected by citizens.
In opposition to absolute monarchy, political science distinguishes between constitutional monarchy and parliamentary monarchy. In the constitutional monarchies, the king retains the Executive Power. On the other hand, in the parliamentary monarchies, the Executive Power comes from the Legislative, which is elected by the citizens, the monarch being an essentially symbolic figure.
Therefore, A democratic system in which the named “ruler” is a symbolic head of state, and power rests in the hands of elected officials is the constitutional monarchy.
Learn more about democratic system on:
https://brainly.com/question/19515894
#SPJ7
The diagram shows the intersections of several straight roads. The avenues run parallel to each other. First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet. Amana walks along Oak from point A to B. To the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft.
Answer:
answer is B 226 ft
Explanation:
because I got it right
Answer:
The above answer is correct - option B. 226 is your answer :D
Explanation:
Here's a screenshot for proof :)
What did robert sternberg believe about intelligence? (site 1).
Answer:
Robert Sternberg argued practical intelligence, a person's ability to react and adapt to the world around them.
Explanation:
E2020
Robert Sternberg argued practical intelligence, a person's ability to react and adapt to the world around them did robert sternberg believe about intelligence.
What is Robert Sternberg's theory?According to the view of psychologist Robert Sternberg, there are three different levels of love: intimacy, passion, and commitment. It is critical to understand that a relationship built on one aspect has a lower chance of success than one built on two or more.
Another theory of intelligence was created by Robert Sternberg. He called it the triarchic theory of intelligence since it divides intelligence into three categories: practical, creative, and analytical intelligence.
One of the most significant psychologists of the 20th century, Robert J. Sternberg is best known for his ground-breaking studies on creativity, love, intellect, and cognitive styles.
Thus, Robert Sternberg argued practical intelligence, a person's ability to react,
For more information about Robert Sternberg's theory, click here:
https://brainly.com/question/29729895
#SPJ5
Following the end of the civil war, most freedmen and poor whites in the south earned a living through.
Answer:
sharecropping and tenant farming
Explanation:
Who was the U. S. President when Texas became part of the United States?.
Answer:
president James K. Polk
Choose the best Spanish equivalent to the phrase. Do you like that ice cream? ¿Te gusta ese helado? ¿Te gusta este helado? ¿Te gusta eso helado? ¿Te gusta tu helado?.
Answer:
it would be the first option :D
Explanation:
i took that test too !!
Answer: A. ¿Te gusta ese helado?
Explanation: On Edge!!
Which expression is equivalent to (StartFraction (2 a Superscript negative 3 Baseline b Superscript 4 Baseline) squared Over (3 a Superscript 5 Baseline b) Superscript negative 2 Baseline EndFraction) Superscript negative 1? Assume mc026-2. Jpg.
Answer:
1
Explanation:
The expression that is equivalent to [(2a⁻³b⁴)²/(3a⁵b)⁻²]⁻¹ is;
1/(36a⁴b¹⁰)
The given expression is;[(2a⁻³b⁴)²/(3a⁵b)⁻²]⁻¹
Rewriting this equation gives;[(2a⁻³b⁴)² × (3a⁵b)²]⁻¹
Let us simplify (2a⁻³b⁴)² to get;
4b⁸/a⁶
Similarly for (3a⁵b)²;
⇒ 9a¹⁰b²
Thus, we now have;
[(4b⁸/a⁶) × 9a¹⁰b²]⁻¹
From laws of indices, we know that; x⁵/x³ = x⁽⁵ ⁻ ³⁾ = x²Thus; a¹⁰/a⁶ = a⁴
Similarly b⁸ × b² = b⁽⁸ ⁺ ²⁾ = b¹⁰
Thus, we now have;[(4b⁸/a⁶) × 9a¹⁰b²]⁻¹ = (36a⁴b¹⁰)⁻¹
Finally, we now have;
(36a⁴b¹⁰)⁻¹ = 1/(36a⁴b¹⁰)
Read more about simplification of algebra fractions at; https://brainly.com/question/15514217
Which equation is represented by the graph below? On a coordinate plane, a curve starts at (0, negative 3) in quadrant 4 and then increases into quadrant 1 and approaches y = 3. Y = e Superscript x y = e Superscript x Baseline minus 1 y = l n x y = l n x minus 1.
Answer 2
Explanation:
Answer:
Option C
Explanation:
Y = In x
Using the following vocabulary describe in spanish.
Answer:
describe what?
Explanation:
Solve x2 – 4x 1 = 0. Mc002-1. Jpg mc002-2. Jpg mc002-3. Jpg mc002-4. Jpg.
Answer:
Solution
=2±√3
Explanation:
The solution of the given equation x² - 4x + 1 = 0 is;
x = 2 ± √3
We are given;
x² - 4x + 1 = 0
Using quadratic formula we have;
x = [-b ± √b² - 4ac]/2a
where;
a = 1
b = -4
c = 1
Thus;
x = [-(-4) ± √((-4)² - 4(1 * 1)]/2(1)
x = (4 ± √(16 - 4))/2
x = (4 ± √12)/2
x = (4 ± 2√3)/2
x = 2 ± √3
Read more on quadratic equations at; https://brainly.com/question/8649555
Bernie is an aspiring video game developer. Learning which of the following software would benefit him the most?.
Since Bernie aspires to become a video game developer, learning a 3-D animation software would benefit him the most: C. 3-D animation software.
A software developer refers to a creative individual that develops a concept and writes a set of executable instructions (codes), in order to create a software applications (programs) that proffers a solution to a particular problem by applying various engineering principles.
In Computer programming, software applications (programs) are typically categorized into the following groups:
Computer-aided design softwareSampling softwareSystem software3-D animation softwareA 3-D animation software is a graphic design software that is designed and developed for rendering animated or graphic images in three (3) dimensions.
Hence, a software developer that is interested in becoming a video game developer should learn how to use a 3-D animation software effectively and efficiently.
Read more on software here: https://brainly.com/question/25703767
Your question is lacking the necessary answer options, so I will be adding them here:
A) Computer-aided design software
B) Sampling software
C) 3-D animation software
D) System software