Newton’s law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes can be modeled by the equation t(t)=ts+(t0−ts)e−kt, where ts is the surrounding temperature and k is the substance’s cooling rate. A liquid substance is heated to 80°c. Upon being removed from the heat, it cools to 60°c in 15 min. What is the substance’s cooling rate when the surrounding air temperature is 50°c? round the answer to four decimal places. 0. 0687 0. 0732 0. 0813 0. 872.
Answers
The cooling rate of the substance is approximately 0.0732.
According to the statement, the Newton's law of cooling is defined by the following formula:
[tex]T(t) = T_{s} + (T_{o}-T_{s})\cdot e^{-k\cdot t}[/tex] (1)
Where:
[tex]T_{s}[/tex] - Final temperature, in degrees Celsius.[tex]T_{o}[/tex] - Initial temperature, in degrees Celsius.[tex]t[/tex] - Time, in minutes.[tex]k[/tex] - Cooling rate, in [tex]\frac{1}{min}[/tex].[tex]T(t)[/tex] - Current temperature, in degrees Celsius.Please notice that substance reaches thermal equilibrium when [tex]T(t) = T_{s}[/tex], that is when temperature of the substance is equal to the temperature of surrounding air.
If we know that [tex]T_{o} = 80\,^{\circ}C[/tex], [tex]t = 15\,min[/tex], [tex]T_{s} = 50\,^{\circ}C[/tex] and [tex]T(15) = 60\,^{\circ}C[/tex], then the cooling rate of the substance is:
[tex]60 = 50 + (80 - 50)\cdot e^{-15\cdot k}[/tex]
[tex]\frac{60-50}{80-50}= e^{-15\cdot k}[/tex]
[tex]\frac{1}{3} = e^{-15\cdot k}[/tex]
[tex]k = -\frac{1}{15}\cdot \ln \frac{1}{3}[/tex]
[tex]k \approx 0.0732[/tex]
The cooling rate of the substance is approximately 0.0732.
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Answer:
B: 0.0732
Explanation:
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Related Questions
Which of the following are solutions to the equation below x^2+4x+4=12.
Answers
Following? Are you looking for the answer??
Fill in the blank with the correct number to balance the equation: 4cr + 3o2 → cr2o3. (enter only a whole number. ).
Answers
Answer:
4Cr + 3O2 -----------> 2Cr2O3
Explanation:
We need to balance both the sides of the equation, that is, number of moles of reactants should be equal to the number of moles of products. So,
4Cr + 3O2 -----------> 2Cr2O3
Comparing the moles of elements, we see that the equation is now completely balanced.
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An international fast food chain is looking for opportunities to leverage the cloud to gain insights.
Answers
Based on the given information, technology that is needed when partnered with Cloud, would do campaign and to create a unique user experience is Extended reality.
From the question, Extended reality technology will give the company the opportunities to leverage the Cloud so they will be able to gain insights into customer data.
And with this technology, location, and order patterns can be easily known and verify
Therefore, Extended reality technology would do campaign and to create a unique user experience when partnered with Cloud.
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An astronaut in the space station appears weightless because the astronaut seems to float. Which of the following claims is true about the force exerted on the astronaut by earth?.
Answers
Answer:
The force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.
Explanation:
The claim that is true about the force exerted on the astronaut by the earth is equal to the force exerted on Earth by the astronaut. The correct option is D.
Who is an astronaut?An astronaut is a scientist who studies the bodies outside the earth. The galaxies, planets, and other astronomical units.
Newton's third rule of motion states that there is always an equal and opposite response to every action in nature. For example, if a first item exerts a specific amount of force on a second object, the second object will do the same but in the opposite direction.
As a result, the gravitational pull that Earth has on the astronaut is equivalent to the pull that the astronaut has on Earth.
Therefore, the correct option is D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.
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The question is incomplete. Your most probably complete question is given below:
A) there is no force exerted on the astronaut by Earth because the astronaut is 400km above Earth’s surface
B) the force exerted on the astronaut by Earth is less than the force exerted by the astronaut because the astronaut is 400km above Earths surface
C) the force exerted on the astronaut by Earth is equal to the gravitational force of the space station that is exerted on the astronaut; the two equal forces balance to cause the astronaut to float.
D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut
Which of the following is a frequent topic in transcendentalist literature that is also present in fuller's the great lawsuit?.
Answers
A frequent topic in transcendentalist literature which is also present in Fuller’s "The Great Lawsuit." is the abolitionist movement.
What is the abolitionist movement?The abolitionist movement can be defined as a social and political movement that was focused on the swift emancipation and freedom for all slaves, as well as ending racial discrimination and segregation in the United States of America.
Historically, the abolitionist movement is a frequent topic in transcendentalist literature that is also present in Margaret Fuller’s "The Great Lawsuit."
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Which statement is most closely related to the modern theory of evolution?.
Answers
POPULATION THAT HAVE ADVANTAGEOUS CHARACTERISTICS WILL INCREASE IN NUMBER IS THE STATEMENT RELATED TO THE MODERN THEORY OF EVOLUTION.
Which ion/molecule in the saliva allows you to taste sugar as sweet weegy.
Answers
Saliva is made up of 99% water, the water molecules helps dissolve food and allows to perceive flavors through the sense of taste.
The food that is introduced into the mouth is dissolved in the saliva, penetrating the taste buds through the pores in the tongue.
The aqueous content where the water molecules represent more than 99% allow the taste receptors to be reached and there is ion exchange for the flavor to be captured.The individual molecules to perceive the sweet taste are released after moistening the food with saliva, this function is determined by the water.Therefore, we can conclude that saliva acts on the taste function since the water content can determine the level of dilution of basic flavors such as sweet.
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Use the drop-down menus to indicate whether each research question is too broad, too narrow, or effective. What will the economy be like in the future? how can virtual reality be used in health care? how many gallons of water will we use in 2025? what are the best strategies for increasing food production in the future?.
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Answer:
- Too broad
-effective
- Too narrow
- effective
Explanation:
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1. Too broad: what will the economy be like in the future?
2. Effective: how can virtual reality (VR) be used in health care?
3. Too narrow: how many gallons of water will we use in 2025?
4. Effective: what are the best strategies for increasing food production in the future?
A research question can be defined as a specific inquiry (question) that a research work seeks to provide an answer or response to, especially by using scientific methods such as the following:
Collection of data.Analysis of data.Documenting critical information.Establishment of facts.According to their nature, a research question is broadly classified as follows:
1. Too broad: what will the economy be like in the future?
A country's economy has many facets and as such it would be difficult to write about what it would be like in the future in one research paper.2. Effective: how can virtual reality (VR) be used in health care?
Virtual reality (VR) is a modern technology that is effectively used by medical professionals in the field of medicine to provide health care for various patients.3. Too narrow: how many gallons of water will we use in 2025?
The quantity of water in gallons that would be used in 2025 can easily be calculated by using a simple formula and as such the answer to this question can be provided in a sentence.4. Effective: what are the best strategies for increasing food production in the future?
The best strategies to be adopted for an increase in food production in the future can be developed into a full research paper based on strategies that have been used in the past.Read more on research question here: https://brainly.com/question/15623923
Using good judgment and making decisions are examples of which career skill?.
Answers
Answer:
Explanation:
Using good judgment and making decisions are examples of:
Problem Solving and Critical Thinking
Your critical thinking capacities can be evaluated in three ways by requesting instances of times when you recently tackled an issue, by giving you certain theoretical circumstances and asking how you would react to them and by perceiving how you apply your critical thinking abilities to various tests and activities this shows the problem solving skills.
Tackling issues implies deciding. Ordinarily, powerful critical thinking abilities result in more joyful, more certain, and more free people. At the point when kids tackle issues all alone, or in a gathering, they become strong. They figure out how to check out difficulties according to a new point of view
Critical thinking is the examination of realities to frame a judgment. The subject is intricate a few distinct definitions exist, which for the most part incorporate the reasonable, wary, and unprejudiced investigation or assessment of authentic proof.
Which persuasive techniques are used in this poster? select 2 options. Glittering generalities about the viewer a simple solution to a problem fear over a possible outcome association with a positive idea nostalgia that helps people recall the past.
Answers
The persuasive techniques that were used in the given poster are; Option A; glittering generalities about the viewer. and Option C; fear over a possible outcome
The poster is missing and so i have attached it.
The painting in the attached image was one created by Norman Rockwell released by the United Kingdom's Royal Navy during World War II.
The intentions and message the poster is trying to communicate is very direct because it tells us that if the workers waste time, the production rate of ships and destroyers will definitely decrease and as such the war will continue and it will take a far longer time to win the war.
The persuasive technique used in this poster is that it shows the glittering generalities about the viewer and from the images fear over a possible outcome.
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Answer:
A)glittering generalities about the viewer
C)fear over a possible outcome
Explanation:
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The extended warranty on a mini-fridge costs $41. 25. If the warranty is 12. 5% of the normal price, what is the cost of the mini-fridge itself, to the nearest dollar?a. $225b. $516c. $330d. $303.
Answers
The correct answer is C, 330. If you would like a step-by-step explanation please do read what’s written below, if not have a good day!
Buying the extended warranty for the mini-fridge will cost you $41.25 and supposedly, the warranty is 12.5% of the original price.
1. 41.25 (warranty) ÷ 0.125 (12.5, the percentage) which is 330.
Thank you and I hope this helped.
_________ applies to objects that are 3-dimensional in nature and has height, width, and depth.
Answers
Form is a feature that applies to objects that are three-dimensional (3-D) in nature and has height, width, and depth.
Form can be defined as an element of art that is typically enclosed in a space.
Basically, form is a three-dimensional (3-D) geometrical figure because it shows three-dimensions, which include:
HeightWidthDepthThis ultimately implies that, the three-dimensional (3-D) parameters that makes up form are height (length), width (breadth) and depth.
In conclusion, form as an element of art is a feature that applies to objects that are three-dimensional (3-D) in nature and has height, width, and depth.
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Which changes could julie make to increase her chances of completing her project successfully? check all that apply.
Answers
Answer:
Write smart Goals .Use a Designed study Area .study at the same time each Night .These are the best because they can Increase her chances in completing her Project successful .
Explanation:
Hope this helps !!In this stanza, prufrock repeats "do i dare?" three times. What does the repetition indicate about his state of mind? he is indecisive. He is worried about the stairs. He is adventurous. He wants to be on time.
Answers
The repetition of the phrase "do i dare?" three times indicates that: he is indecisive.
One of the central themes that were explored in "The Love Song of J. Alfred Prufrock" is the social anxiety that he experiences.
He is worried about people's conception of him and that is why before he descends the stairs, he wonders if he can dare face the people because of the bald spot in the middle of his head and several other insecurities.
So, option A is correct.
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Amazon fresh is a grocery delivery service that offers customers the option of purchasing.
Answers
Amazon Fresh is an online grocery delivery service that was established to offer customers the option to purchase: their groceries online while being delivered to them on schedule.
Amazon Fresh is an e-commerce company that was established in 2007 with its headquarter in Seattle, Washington, United States of America. Also, it is a subsidiary of the American e-commerce company called Amazon.
Basically, the main purpose of Amazon Fresh is to serve as an online grocery delivery service that offer customers in most major U.S. cities, the option to purchase their groceries online while they are delivered to them on schedule.
Some examples of the groceries that can be purchased on Amazon Fresh include the following:
YamTomatoPotatoCarrotFruitsRead more on e-commerce here: https://brainly.com/question/25715433
Angela is buying a dress that is on sale for 20% off. If the original price of the dress is $30. 00, how much money is angela saving on the dress?.
Answers
Answer:
$6Explanation:
We know that in this equation that the $30 is the whole 100%, also we know that 20% of 100% is 1/5th in other words we can find out what a 5th of $30 is.
30 divided by 5 = 6
She will be saving $6
A tuna salad was removed from refrigeration and served at a picnic.
Answers
Based on the given information the remaining tuna salad should be thrown out at 5.00pm.
The remaining Tuna salad should be not be consume but should be dispose because pathogens or micro-organisms might have contaminate it or spread on it as the temperature of the salad did not exceed 70F.
Example of pathogens are:
BacteriaVirusesFungi,Disposing the remaining tuna salad will help to prevent foodborne illness which occur as a result of consuming food that are infected by bacteria or viruses.
Inconclusion the remaining tuna salad should be thrown out at 5.00pm.
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when an act or law is repealed it can be best described as
Answers
Answer:
When an act or law is repealed it can be best described as an end of the law or act.
Explanation:
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An end to that act or law. A new law or act could take its place
George saves 18% of his total gross weekly earnings from his 2 part-time jobs. He earns $6. 25 per hour from one part-time job and $7. 50 per hour from the other part-time job. George works a total of 40 hours between the two jobs each week. What additional information is needed to determine the amount of his earnings he saves each week?.
Answers
Based on the information given, the additional information that is needed to determine the amount of his earnings will be the number of hours at each job.
From the information given, we are told that George earns $6. 25 per hour from one part-time job and $7. 50 per hour from the other part-time job and that he works a total of 40 hours between the two jobs each week.
Therefore, the additional information required will be the number of hours at each job. This will be vital in solving the question
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A short block includes all of the following except.
Answers
Answer:
cylinder heads
Explanation:
In an internal combustion engine, the cylinder head sits above the cylinders on top of the cylinder block. It closes in the top of the cylinder, forming the combustion chamber. This joint is sealed by a head gasket.
School x and school y.
Answers
Answer:
wut.????
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A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue chips, and 6 yellow chips. The player wins $5 if a red chip is selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. Let the random variable x represent the amount won from the selection of the chip, and let the random variable w represent the total amount won, where w=x−15. What is the mean of w ? $10. 50 answer a: $10. 50 a $4. 50 answer b: $4. 50 b −$4. 50 answer c: negative 4. 50 dollars c −$6. 50 answer d: negative 6. 50 dollars d −$10. 50.
Answers
The mean of the random variable w that represents the total amount won is; -$4.50
We are given quantity of chips inside the bag as;
Number of red chips = 10Number of blue chips = 4Number of Yellow chips = 6Total number of chips = 20
Thus;
P(Red chips) = 10/20 = 0.5P(blue chips) 4/20 = 0.2P(Yellow Chips) = 6/20 = 0.3Amount won from the selection of Red Chip = 0.5 * $5 = $2.5
Amount won from the selection blue Chip = 0.2 * $10 = $2
Amount won from selection of yellow chip = 0.3 * $20 = $6
Thus;
x = $2.5 + $2 + $6
x = $10.5
We are told that total amount won is gotten from;
w = x − 15
Thus;
w = 10.5 - 15
w = -$4.50
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This chart is an example of a demand curve. Demand schedule. Supply curve. Supply schedule.
Answers
There are several types of charts that can be graphed; however the given chart is an example of a (d) supply schedule
From the chart, we can see that the chart shows the amount of goods supplied when a certain demand is made, at a given price.
Take for instance,
When the price of goods is $5 and the demand is 50, the quantity supplied is 30
This is an illustration of a supply schedule
Hence, the chart is an example of a (d) supply schedule
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Answer:
supply schedule
Explanation:
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Which of the following occurs when a lobster is properly cooked weegy.
Answers
When a lobster is properly cooked weegy, the blood has no way of becoming clear.
The blood of a properly cooked lobster has no way of becoming clear because a lobster meat is translucent before cooking it.A lobster is bluish-black in color but it turns red when it is cooked. It has a long body with muscular tails and they live in crevices.Therefore, when a a lobster is properly cooked weegy, the blood has no way of becoming clear.
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Answer: flesh becomes opaque
Explanation: PENN FOSTER
Martha eats eggs every morning for breakfast. No. Yes.
Answers
Answer:
Yes
Explanation:
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Which of the following is a characteristic of an adiabatic process.
Answers
Answer:
Adiabatic processes are characterized by an increase in entropy, or degree of disorder, if they are irreversible and by no change in entropy if they are reversible. Adiabatic processes cannot decrease entropy.
Explanation:
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Which statement explains why br2 is a liquid at stp and i2.
Answers
Answer:
(2) Molecules of I2 are polar, and molecules of Br2 are nonpolar.
(3) Molecules of Br2 have stronger intermolecular forces than molecules of I2.
(4) Molecules of I2 have stronger intermolecular forces than molecules of Br2.
None
Explanation:
Answer: Molecules of I2 have stronger intermolecular forces than molecules of Br2
Explanation:
Which of the following is an accurate definition for a scientific theory?.
Answers
Explanation:
a carefully thought-out explanation for observations of the natural world that has been constructed using the scientific method,
You are performing an experiment in a lab to attempt a new method of producing pure elements from compounds. The only problem is that you do not know what element will form. By your previous calculations you know that you will have 6. 3 moles of product. When it is complete, you weigh it and determine you have 604. 4 grams. What element have you produced?.
Answers
Answer:
molybdenum (Mo)
Explanation:
For this question you need to understand what the concept of molar mass is.
Molar mass is the exact mass by which you will obtain a mol of that specific element. For example the molar mass of H2O is 18g/mol, so it means that in 18 grams of water, you exactly have 6.022x10²³ molecules of water or one mole.
So here you know the number of moles you produce and its conversion to grams. The problem is basically stating that in 604.4 grams of x element you have 6.3 moles of that element.
All you have to do is divide the number of grams by the number of moles:
604.4grams/6.3 moles=95.94 g/moles,
You obtained the molar mass of that X element, and in fact the molar mass corresponds the molecular mass of all elements, that is an information provided by the periodic table. So all you have to do is look for the element with a molecular mass of 95.94 uma or a very close approximate.
Molybdenum has a molecular mass of 95.95. So that's the answer.
We all use memory in the same way.
Answers
Answer:
faccccttssss
Explanation:
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