Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
The radius is increasing at a rate of 0.6366 feet per minute.The surface area is changing at a rate of 80 feet squared per minute.The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
For this problem:
Inflation rate of 200 cubic feet per minute, hence [tex]\frac{dV}{dt} = 200[/tex]Radius is of 5 feet, hence [tex]r = 5[/tex]Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]200 = 4\pi (5)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{200}{100\pi}[/tex]
[tex]\frac{dr}{dt} = 0.6366[/tex]
The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:
[tex]S = 4\pi r^2[/tex]
Hence, the rate of change is:
[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt}[/tex]
Hence:
[tex]\frac{dS}{dt} = 8\pi (5)(0.6366) = 80[/tex]
The surface area is changing at a rate of 80 feet squared per minute.
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My mom suggested keep the surroundings clean and green.
This is the correct sentence:
My mom suggested keeping the surroundings clean and green.It's correct to say keeping and not keep because you have to form the sentence using suggest + the verb with ing (keep + ing: keeping).
I was able to find the instructions to complete the exercise online: Write sentences using suggest + V-ing or suggest + clause with should.
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Which sentences include a proper mla parenthetical citation? check all that apply.
Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."
What is MLA parenthetical citation?MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.
Other sentences that include a proper MLA parenthetical citation include the following:Johnson claims that the English language began to deviate from its Germanic origins (4).In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).Hence, in this case, it is concluded that the correct answer is options A, E, and F.
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Which notations represent atoms that have the same number of protons.
Answer:
ITS ABOUT DRIVE ITS ABOUT POWER WE STAY HUNGRY WE DEVOUR PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS
What amount of heat, in kj, would be involved in condensing 15. 8 g of ch₃oh? (∆hvap = 38. 0 kj/mol).
Considering the definition of enthalpy of vaporization, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.
When a material changes phase from solid to liquid, or from liquid to gas, a certain amount of energy is involved in this phase change.
In case of phase change from liquid to gas, this amount of energy is known as enthalpy of vaporization (symbolized as ∆Hvap).
So, the enthalpy of vaporization is the amount of energy required to change a unit of mass (for example, moles or kg) of a substance from phase liquid to phase gas at constant temperature and pressure.
In this case, you know that enthalpy of vaporization is ∆Hvap = 38.0 kJ/mol.
On the other side, you want to vaporize 15.8 g of CH₃OH. Then, being the molar mass of the compound 32 [tex]\frac{g}{mole}[/tex] (that is, the amount of mass contained in one mole), the number of moles to be vaporized is:
[tex]15.8 gramsx\frac{1 mole}{32 grams} =0.49375 moles[/tex]
Then, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is calculated taking into account the enthalpy of vaporization by:
0.49375 moles× 38.0 [tex]\frac{kJ}{mol}[/tex]= 18.76 kJ ≅ 18.8 kJ
Finally, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.
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brainly.com/question/21655944?referrer=searchResults brainly.com/question/7580155?referrer=searchResults brainly.com/question/4035699?referrer=searchResults brainly.com/question/11475740 brainly.com/question/2212655?referrer=searchResultsWhich law would you use to simplify the expression mc006-1. Jpg? quotient of powers power of a quotient product of powers power of a product.
Answer:
Law of transparency
Explanation:
The law that will be used in simplifying the option is a3¹⁰/3⁴ is the quotient of powers. The correct option is a.
What is the quotient of powers?According to the Quotient of Powers Property, exponents are subtracted from powers when they are divided by the same base, provided the base is not equal to 0. Using variables, nanb=n(ab) n a n b = n (a b) is defined.
It is quicker and simpler to subtract the bases than to write down the multiplications and cancel. The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator, is how the Quotient Rule defines the derivative of a quotient.
[tex]\dfrac{x^a}{x^b} = x^{( a - b)}[/tex]
[tex]\dfrac{3^{10}}{3^4} = 3 ^ {( 10 - 4)}\\\\\dfrac{3^{10}}{3^4} = 3^6[/tex]
Therefore, the correct option is a, the quotient of powers.
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The question is incomplete. Your most probably complete question is given below:
The equation is:
3^10/3^4
Oscar started freaking out about the test formal brainly.
Answer:
?
Explanation:
Answer:
y lol
Explanation:
Which is the correct translation of the sentence into an equation? four less than a number is 12.
Answer: 4 - ? = 12
Explanation: maybe
For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student.
The probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be 71/248.
From the information given, the number of students that are in grade 10 is 105. Out of all the students, 34 had salad and 71 had French fries. The total students in the school that are French fries was 248.
Therefore, the probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be calculated thus:
= Number of students who French fries in grade 10 / Total number of people that had French fries
= 71/248
In conclusion, the correct option is 71/248.
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Which detective seems to have more clues about solving the case? bolsa sancho.
Answer:
Sancho
Explanation:
Took the test
Answer:
1 True 2 False 3a parrot 4while he was hiding out 5 Sancho
Explanation:
took the test got a 100
You work in a company that has begun selling annual subscriptions to its new online magazine. During december, the company sold the first subscriptions, receiving $600,000, which represents one-fifth of its revenues from all sources for the year. The entire amount has been collected in cash. As the end of the the year approaches, you notice that the company recorded the entire $600,000 to revenue and there is no plan to make an adjusting entry.
Answer:
a.cademics.helper
Explanation:
IG reach out get the answer from here
The accounting error that was committed and how it affected the financial accounts will be stated in the note.
What are financial accounts?Financial accounts are defined as the process of documenting, compiling, and disclosing a company's financial statement transactions. The preparation of financial reports for external audiences like investors, creditors, and tax authorities to learn more about a company's performance is the primary goal of financial accounting.
The $600,000 that was raised from the sale of the new online magazine's annual subscription is the amount that will be raised for the upcoming 12-month period that will begin in December of the current year. Of the total, only $50000 will be noted for the year. Therefore, $550000 in related services for the following eleven months should be recorded as unearned income.
Thus, the accounting error that was committed and how it affected the financial accounts will be stated in the note.
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Your question is incomplete, but probably your complete question was
You work in a company that has begun selling annual subscriptions to its new online magazine. During December, the company sold the first subscriptions, receiving $600,000, which represents one-fifth of its revenues from all sources for the year. The entire amount has been collected in cash. As the end of the the year approaches, you notice that the company recorded the entire $600,000 to revenue and there is no plan to make an adjusting entry.
Draft a memo around two paragraphs in length to your supervisor, which explains the following:
The accounting error that has been made
The effect this error will have on the financial statements dated at the end of December
The problems that might result
The importance of fixing the error and what needs to be done to fix the error
Make sure to include proper grammar, spelling, etc.
1) What is The Full form Of WWW ?
2)What Is The full form of 3 Cs ?
2nd question is little confused .
plz Don't Spam .
WWW is an abbreviation for World Wide Web ...
Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.
Answer:
• Full form of WWW :- World Wide Web WWW is an abbreviation for World Wide Web and it is commonly called the WEB. It is a system that is used to store documents and is accessed using URL(Uniform Resource Locator) which are accessible through Internet .• The full form of 3 Cs :- Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.Explanation:
Hope this helps you !!Marianna is working on improving her communication skills. To be a good listener she should.
Help plz lol………………………….
Answer:
105/330
Explanation:
drama:
25 students
both:
60 students
sports:
140 students
total:
225 students
330-225=105
In casabianca the boy's defining character trait is his (points 5).
The character trait that defines the boy in Casabianca is: his loyalty.
Casabianca is the name of the young boy who is one of the major character sin "Casabianca".
In Casabianca, the boy, out of loyalty and having a strong sense of duty, had to put up bravery to remain at his post on a French ship that caught fire during the attack of the British.
In spite of the obvious dangers, he remained at his post while waiting for orders from the captain (his dad).
Therefore, the character trait that defines the boy in Casabianca is: his loyalty.
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In the poem "War Is Kind," which best describes the effect of the repetition of the lines "Do not weep. War is kind"? These lines illustrate the fact that people react very differently to suffering. These lines suggest that people who suffer from war are overreacting. These lines highlight the idea that war is not as brutal as people think. These lines emphasize the harshness of the scenes the speaker describes.
There are different kinds of poem. In the poem "War Is Kind," the best description of the effect of the repetition of the lines is that the lines emphasize the harshness of the scenes the speaker describes.
The line of the poem talks able the cruelty of war and how its effect on the people.War is not a pleasant situation. Stephen Crane in his poem calls war "kind". This is because he laugh at the idea that young men often believe that going to war is noble and dying for one's country is an heroic act.
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Answer:
These lines emphasize the harshness of the scenes the speaker describes.
Explanation:
D on edge!
Which group of people was one o fthe first to spread hte idea of worshipping only one god?.
Answer:
The first people to express the idea that there is only one God were the Jews, and then later on Christians (because Jesus Christ brought Christianity.)
Explanation:
I hope this helps! :D
Which sentence best concludes the paragraph? It is important to understand historical causes as the English language continues to develop. Many people wonder why international communication is so difficult. I can’t wait to see how the English language develops in the future.
Answer: ( Answer A) It is important to understand historical causes as the English language continues to develop
Explanation: because I just took the assignment
The sentence that best concludes the paragraph is that it is important to understand historical causes as the English language continues to develop. Thus, the correct option for this question is A.
What do you mean by Paragraph?A Paragraph may be defined as a collection of sentences that significantly represents some thoughts and ideas to the reader or audience. It is a brief piece of writing that all relate closely to the topic sentence.
According to the context of this question, it is consequential in order to understand the causes and influence of the English language which continues to develop till now. It is the significance of the English language.
Therefore, it is important to understand historical causes as the English language continues to develop is the sentence that best concludes the paragraph. Thus, the correct option for this question is A.
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Which of the following statements is true of postmodern cultural spaces.
Select all radical expressions that are equivalent to 347.
Answer:
(3√7)4
81−−√7
Explanation:
What is "four times the sum of x and y" in a mathematical phrase?.
Answer:
4(x + y)
Explanation:
Have a nice day
4 t-shirts and a hat costs £31. 00 2 t-shirts and a hat costs £17. 0. How much does a t-shirt cost? how much does a hat cost?.
Answer:
T-Shirt Cost = £7
Hat Cost = £3
Explanation:
Important Information:
4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
Here we assume t-shirt be x and hat be y.
Explanation/Solution:
Based on the above information, the calculation is as follows:
4x + y = 31
2x + y = 17
Now subtract equation 2 from 1
2x = 14
x = 7
So y is
4(7) + y = 31
28 + y = 31
y = 3
Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.
Use the formula for annual compound interest. A = P (1 StartFraction r Over n EndFraction)nt Remember, A refers to the total amount owed. Calculate the total amount that Tom would repay. $10,337 $11,337 $12,337 $13,337.
Answer:
11,337
Explanation:
Answer:
$11,337
Explanation:
Which comparison between events in the passage would best support a claim that a significant theme of the passage is fulfillment?.
The comparison that illustrates the theme is Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
The theme of a story simply means the central idea that's conveyed in a story. It illustrates what the author wants the readers to know in the story.
The comparison between events in the passage support a claim that a significant theme of the passage is fulfillment. This was illustrated as Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
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Multiple-choice questions on advanced placement exams have five options: a, b, c, d, and e. A random sample of the correct choice on multiple-choice questions on a variety of ap exams1 shows that b was the most common correct choice, with of the questions having b as the answer. Does this provide evidence that b is more likely to be the correct choice than would be expected if all five options were equally likely? show all details of the test. The data are available in apmultiplechoice.
Answer:
the answer would be a
Explanation:
How many grams of iron (density = 7. 87 g/ml ) would occupy the same volume as 96. 4 g of aluminum (density = 2. 70 g/ml)?.
Explanation:
density = mass / volume
96.4 g of aluminum / volume = 2.7
therefore,
96.4 = 2.7 × volume
volume = 96.4 / 2.7 = 35.7037037... ml
back to iron :
7.87 = mass / 35.7037037...
mass = 7.87 × 35.7037037... = 280.9881481... g
it would be 280.9881481... g of iron in the same volume.
Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his options for learning this trade? select all that apply.
To be a licensed electrician requires deep knowledge of the field. Rami's options for learning this trade are;
He should applied degree at a two year college or He can study for a bachelor's degree at a four year collegeApprenticeship and trade schoolA licensed electrician job is not easy to obtain. It requires studying, years of being an apprentice or attending school, and years of work experience.
To be a licensed electrician, these steps should be followed:
Earn a high school diploma or Its equivalent. Try and attend a trade or vocational-technical school. Sign up as an electrician apprentice. Get licensed or certified.See full question blow
Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his option learning this trade? Select all that apply.
applied degree at a two year college bachelor's degree at a four year college vocational training in the military apprenticeship and trade school going directly into the workplaceLearn more from
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Answer: 1) applied degree at a two year college
3) Vocational training in the military
4) apprenticeship and trade school
Explanation: did on edge :)
Tim drives at an average speed of 80km.
Answer:
and? I dont know Tim.
Explanation:
The weight of a cart with a mass of 150 kg is how many newtons.
Answer:
1500 N
Explanation:
Weight = mg = 150 kg * 10 m/s^2
Weight = 1500 N
Scientists discover a new organism. The organism is autotrophic, with membrane-bound organelles. To which of these kingdoms does this organism most likely belong?.
Protista, would be the answer
A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon to be 75. 8° and 15. 6°. What is the length of the island to the nearest tenth of a mile?.
Answer: Distance to close end of island is 3000/tan(75.8); distance to far end is 3000/tan(15.6). The difference is 9985.676 feet or about 1.9 miles.
Explanation: 2 explanation Balloon, flying or levitating, has no front to recon with, so two possible answers.
tan(90–15.6)+or-tan(90–75.08) * 3000= length of island
