A spherical balloon is inflating with helium at a rate of. How fast is the balloon's radius increasing at the instant the radius is ft? how fast is the surface area increasing?.
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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Determine the minimum mass of hydrogen gas required to produce 226 kj of heat.
By definition, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
The reaction is as follows:
2 H₂(g) + O₂(g) → 2 H₂O(g) ΔH = - 483.5 kJ
In this reaction, you can see that 2 moles of H₂ produces 483.5 kJ of heat. But you want to release 226 kJ of heat.
So you can apply the following rule of three: if 483.5 kJ is released by 2 moles of H₂, 226 kJ of heat is released by when moles of H₂?
[tex]amount of moles of H_{2} =\frac{226 kJx2 moles }{483.5 kJ}[/tex]
amount of moles of H₂= 0.93485 moles
Molar mass is the amount of mass that a substance contains in one mole. In this case, the molar mass of H₂ is 2 [tex]\frac{g}{mole}[/tex].
So, the mass containing 0.93485 moles is calculated as:
0.93485 moles× 2 [tex]\frac{g}{mole}[/tex]= 1.8697 grams
Finally, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
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https://brainly.com/question/9846800?referrer=searchResultshttps://brainly.com/question/24150635?referrer=searchResultsWhich of the following is not a function of the female reproductive system.
Answer:
The option A, releasing fimbria to for fertilization is not a function of the female reproductive system.
Which range of the electromagnetic spectrum travels at the fastest speed.
Answer:
Photons travel in harmonic waves at the fastest speed possible in the universe: 186,282 miles per second (299,792,458 meters per second) in a vacuum, also known as the speed of light. The waves have certain characteristics, given as frequency, wavelength or energy.
Which phrase does not describe ocean water near the equator?
A. High temperature
B. Low light
C. Low salinity
D. Low density
Answer:
B. Low Light
Explanation:
A current of 15 amps flows through a circuit with a resistance of 0. 10 ohms. What is the voltage?.
Answer: I=U/R
U=I*R U=0.10*15=1.5
Explanation:
do you think the earth is round or flat
Answer:
cube
Explanation:
Which of the following best describes the process of translation?.
Answer:
Translation is a universal process in biology where a protein formed of amino acids is made by using messenger Ribonucleic acid (mRNA) to dictate the order of amino acids. Following transcription (the conversion of DNA into mRNA) an mRNA strand leaves the nucleus and enters the cytoplasm via the nuclear pore.
Explanation:
Your welcome!
Translation is the conversion of genetic information from the language of nucleic acid to protein, hence option 6 is correct.
Ribosomes, which are huge complexes of proteins and RNA, catalyze the translation process. Ribosomes read the RNA transcript and translate it one amino acid at a time into a protein.
Peptide bonds are used to connect the amino acids to produce a polypeptide chain. Following that, the polypeptide chain folds into its ultimate shape, which determines its function.
Translation is the process through which an RNA transcript is converted into a protein. This procedure takes place in the cell's cytoplasm.
Thus, the option 6 is correct.
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The given question is incomplete, so the most probable complete question is,
Which of the following best describes the process of translation?
The addition of nucleotides to a DNA template the addition of nucleotides to an RNA template the conversion of genetic information from DNA nucleotides into RNA nucleotides o the conversion of genetic information from the language of proteins to the language of nucleic acids None of these the conversion of genetic information from the language of nucleic acids to the language of proteinsA wave with short wavelength will have ____ frequency and ___ energy.
Her nervousness had a profound.
Huh yes that would work out well I think it’s a great deal to get it done by the end of the
Carefully read sources a through d (listed below), including the introductory information for each source. Compose a thesis statement you might use for an essay in which you develop your position on the role, if any, that zoos should serve in the future. Then, select at least three pieces of evidence from the sources to support your position, briefly explaining how each piece of evidence might be used to develop your argument. Avoid merely summarizing the sources.
The above question wants to assess your writing ability, therefore it is not correct for me to write the thesis statement for you, but I will show you how to write it.
First, you should know that a thesis statement is a short, direct, and objective paragraph that shows your opinion or position on a particular issue.
This opinion must be substantiated by evidence taken from research sources, for this reason, you should read the sources that have been presented to you or research articles, essays, and publications on the subject.
After that, you can answer your question as follows:
Present your thesis statement, that is, present your opinion on the future role of zoos.Show information from the research sources that support your thesis statement.Explain how this information supports your opinion and shows it to be true.An example of a thesis statement would be: According to the reading, the function of zoos will become increasingly obsolete due to the growth of environmental awareness and animal rights.
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Which correctly applies the distributive property to show an equivalent expression to (8. 6)(–2. 5)? (8)(2) – (0. 6)(0. 5) (8)(–2) – (0. 6)(–0. 5) (8. 6)(2) – (8. 6)(0. 5) (8. 6)(–2) + (8. 6)(–0. 5).
Answer:
the answer is D or the forth answer or (8.6)(–2) + (8.6)(–0.5)
Explanation:
I know because I am doing the test right now
Andrei adds 50 ml of boiling water to 100 ml of tap water. If the 150 ml of water is then put into a freezer, at what temperature will the water freeze?.
Answer:
0°C
Explanation:
water always freezes at 0 degrees
On january 1, 2019, a company issued $400,000 of 10-year, 12% bonds. The interest is payable semi-annually on june 30 and december 31. The issue price was $413,153 based on a 10% market interest rate. The effective-interest method of amortization is used. What is the book value (carrying value) of the bond liability as of june 30, 2019 (to the nearest dollar)?.
The book value of the bond liability is $409811
First of all we have to calculate the cash that was paid for interest
This interest is payable semiannually that is 6 months out of 12 months
6/12 = 0.5
The bond is 12% = 0.12
= 400000 * 0.12 * 0.5
= 24000 dollars
The interest =
413153 * 10% * 0.5
= 20658 dollars
The reduction = 24000-20658
= 3342 dollars
The carrying value after the first payment
= 413153-3342
= $409811
The book value of the bond liability is $409811
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Which is a y-intercept of the graphed function? (–9, 0) (–3, 0) (0, –9) (0, –3).
A photographic stop bath contains 160ml of pure acetic acid.
Answer:
Solving for the Percent by Volume
The v/v concentration of acetic acid in the stop bath is 24.6%.
Explanation:
To answer the question, we need to identify certain information stated in the question. Let us write down what’s given:
Volume of solute = 160 mL
Volume of solution = 650 mL
Next, we need to determine what is required, in this case, the percent by volume. Now, let us look at the formula:
v/v concentration = (solute volume / volume of the solution) * 100
Solution:
Percent by Volume = (160 / 650) * 100
Percent by Volume = 0.2461538461538462 * 100
Percent by Volume = 24.61538461538462
Rounded off = 24.6%
Therefore, the final answer is 24.6%
Explanation:
You enter a room 2 dogs 4 horses.
(2+4=6) supercalifragilisticexpialidocious
Which statement about how mass media have changed over time is most accurate.
Answer:
statement 2
Explanation:
2 mass media changed over time is most accurate.
When making lemonade, 1 over 4 cup of sugar will make 5 glasses of lemonade. How many cups of sugar would be needed to make 22 glasses of lemonade?.
Brainly. Com answers.
Answer:
what is this
Explanation:
tell right questions
A hoop of radius 1. 0 m is placed in the first quadrant of an xy-coordinate system with its rim touching both the x-axis and the y-axis. What are the coordinates of its center of gravity?.
Answer:
(1,1) is the answer you're looking for.
A charged capacitor is connected to an ideal inductor. At time t = 0, the charge on the capacitor is equal to 6. 00 μc. At time t = 2. 00 ms the charge on the capacitor is zero for the first time. What is the amplitude of the current at that same instant?.
Answer:
6.000000üc po
Explanation:
tes times i divede mo po at i plas mo po
Use the drop-down menus to complete the statements below to answer this question: can you determine whether a system of linear equations has a solution just by looking at the graph of the equations?.
Answer:
The coordinates of a point satisfies the equation of a line if the point lies on the line
If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
This means that each point where the two lines touch is a solution to the system of equations
This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true
Explanation:
Answer:
on the line
on both lines, intersect
intersect, solution
true
Explanation:
I did it on Imagine Math.
We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of +/-0. 06 at 95% confidence?.
Using the appropriate sample size formula, the minimum number of samples required is 267
Using the relation :
N = [(Z² × pq) / e²] e = Error Margin = 0.06² = 0.0036p = 0.5 q = 1 - 0.5 = 0.5 Zcritical at 95% = 1.96Substituting the values into the equation :
N = [(1.96² × (0.5 × 0.5)) / 0.0036]
N = (0.9604 / 0.0036)
N = 266.777
N = 267
Hence, the minimum number of samples required is 267
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If you have a cb radio, you can turn to channel ___________ and request police assistance.
Based on radio analysis, if you have a CB radio, you can turn to channel Nine (9) and request police assistance.
What is CB Radio?CB Radio is the acronym for Citizen band radio. It is divided into 40 channels.
Each CB radio has channel frequencies between 26.965 to 27.405 MHz.
To request police assistance on CB Radio, one must tune to Channel 9. Channel 9 is designated for Emergency communication, and it has a frequency of 27.065 MHz.
Hence, in this case, it is concluded that the correct answer is "Channel 9."
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According to the table, what is the total distance the hiker walked? 4 km 6 km 10 km 20 km.
Answer: 20 km
Explanation:
6 + 4 + 6 + 4 = 20
Which of the following theorems cannot be used to prove two lines are parallel?.
How are we supposed to answer this question without the theorems mentioned in the question????
Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Encontrando y resolviendo un sistema de ecuaciones, veremos que hay 9 camionetas y 3 autos.
Sabemos que hay 12 vehículos en el camión.
Definamos:
a = número de autosc = número de camionetas.tal que a + c = 12
La masa total será:
a*2 ton + c*3 ton
Y sabemos que el camión lleva 33 toneladas, entonces tenemos:
a*2 ton + c*3 ton = 33 ton
Así encontramos el sistema de ecuaciones:
a + c = 12
a*2 ton + c*3 ton = 33 ton
Para resolverlo, primero aislamos una de las variables en una de las ecuaciones, aislemos a en la primera:
a = 12 - c
Ahora reemplazamos esto en la otra:
(12 - c)*2 ton + c*3 ton = 33 ton
24 ton + c*1 ton = 33 ton
c*1 ton = 9 ton.
c = 9
Es decir, hay 9 camionetas.
Entonces los 3 vehículos restantes son autos.
Hay 9 camionetas y 3 autos.
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The answer is mashed potatoes.
Answer: what did he sayyy
Explanation:
What detail of the myth is suggested in the poem but not in the painting? What connection between the painting's landscape and the myth does this detail convey?.
The myth shows the moment when the sun melts the wings of Icarus, while the painting does not present this moment. This detail shows that nature contributes to the death of Icarus.
We can arrive at this answer because:
The painting shows only the death of Icarus, showing the moment when he fell into the water and drowned.The purpose of the painting is to show how the universe and all other human beings remained indifferent to Icarus' death.Although the myth also features the death of Icarus, it sets out in more detail.The myth shows why Icarus wanted to use the waxwings and why these wings melted.The myth focuses on nature's action on the death of Icarus, while the painting reinforces the universe's indifference to this death.
This question is about “Landscape of the Fall of Icarus.”
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Answer:
B & C
Explanation:
Y E S