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:
I took the test :)
Related Questions
Marian traveled at an average speed of 65 mi/h for 15 hours. Kristen travels at an average speed of 50 mi/h. How many hours does it take kristen to travel the same distance marian traveled? express your answer as a decimal to the nearest tenth.
Answers
The hours it takes Kristen to travel the same distance Marian travelled is 19.5 hours.
The average speed of Marian is 65 miles per hour for 15 hours. Therefore, her distance travelled can be calculated as follows:
speed = distance / time
Therefore,
distance = time × speed
distance = 15 × 65
distance = 975 miles
Kristen travelled at an average speed of 50 miles per hour. Kristen covers the same distance with Marian. Therefore, the hours it takes Kristen to travel the same distance Marian travelled can be calculated as follows:
speed = distance / time
time = distance / speed
time = 975 / 50
time = 19.5 hours
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A banana is 8 inches long how many 0. 4 inch slices.
Answers
8/0.4 = 20
When must a system of linear equations be solved algebraically.
Answers
Answer: The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
Explanation:
Which of the following statements about the gold standard is true.
Answers
Answer:
is it a SAT or any other subject question as I am not able to understand.
being a student who is preparing for SAT, it is my curiosity that has peaked so please regard my question.
Zen gardens were the result of intense __________ and manual _________.
Answers
Zen gardens were the result of intense MEDITATION and manual LABOR. These gardens are known as Japanese rock gardens.
The Japanese rock gardens (also known as Zen gardens) were developed by Buddhist monks to aid in meditation.
The Zen gardens represent one of the most important characteristics of Japanese culture.
These Japanese rock gardens use sand and rocks in order as a manner to highlight and celebrate life.
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Answer: Zen gardens were the result of intense MEDITATION and manual LABOR. These gardens are known as Japanese rock gardens. The Japanese rock gardens (also known as Zen gardens) were developed by Buddhist monks to aid in meditation. The Zen gardens represent one of the most important characteristics of Japanese culture. These Japanese rock gardens use sand and rocks in order as a manner to highlight and celebrate life.
Explanation:
art history 23 edge.
When deciding how to deal with negative feelings, why should you evaluate the causes of your issue? a. You might be able to avoid dealing with the issue this time b. You might be able to cope with future issues more easily c. You might be able to invent some excuses for your behavior d. You might be able to eliminate stress from your life please select the best answer from the choices provided a b c d.
Answers
Dealing with negative emotions is hard u have resist yourselves before these destructive emotions gets into you. Evaluating the causes of your issue will make u understand what was right to u in that situation and will help u learn about yourself more and improve your behaviour or avoid such negative people in your life. Hence it helps u to improve your mistakes and will make u cope up with the future.
Your welcome
Answer:
B
Explanation:
B
Which of the following is the most accurate qualitative description of the the magnetic field vector b⃗ inside the cylindrical resistor?.
Answers
Explanation:
The electric field vector is zero inside the resistor and on its surface
hope helps you
The most accurate qualitative description of the magnetic field vector b⃗ inside the cylindrical resistor is the magnetic field vector is everywhere tangential to circles centered on the axis of the cylinder. The correct option is B.
What is a magnetic field?A magnetic field is a vector field that explains the magnetic influence on moving charges, currents, and magnetic materials. A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field.
It is a vector field that defines the magnetic influence on moving charges, currents, and magnetic materials.
Therefore, the correct option is B, The magnetic field vector is everywhere tangential to circles centered on the axis of the cylinder.
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The question is incomplete. Your most probably complete question is given below:
The magnetic field vector points radially away from the axis of the cylinder.
The magnetic field vector is everywhere tangential to circles centered on the axis of the cylinder.
The magnetic field vector points inward toward the axis of the cylinder.
The magnetic field vector points along the axis of the cylinder in the direction of the current.
Which statements always apply to the process of diffusion? check all that apply.
Answers
Answer:
Molecules move from inside of the cell to outside of the cell. Diffusion requires proteins in the cell membrane. Molecules are evenly distributed at the end. Diffusion requires energy.Mikah invented and patented a new product which sells in local department stores. This is an example of _____ income. A. Capital gains b. Earned c. Hourly d. Passive.
Answers
The new product that was invented, patented and sold in local department stores is an example of: D. Passive income.
An income can be defined as an amount of money that an individual or business firm earn in return for the sales of its product or for providing a service, to consumers.
In Economics, there are three (3) main types of income and these include:
Earned incomePortfolio incomePassive incomeA passive income generally requires minimal amount of labor from an individual or business firm and as such it is usually earned from patented products or rental products on a regular basis.
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Answer:
answer is D
Explanation:
What is the mass in grams of 5. 40 moles of lithium.
Answers
Answer: b) 37.5
Given = 5.80moles
Lit= 6.94
Explanation:
Drugs always produce the same sensation in first-time users. Please select the best answer from the choices provided t f.
Answers
Answer:
False.
Explanation:
Every time you take a drug the sensation is always going to be different. Often times, this leads to drug addiction because most addicts take drugs over and over again to reproduce those same effects on their brain.
Δpqr is located at p (−3, −3), q (0, 0), and r (3, −3). Which statement correctly classifies δpqr? δpqr is a scalene triangle. Δpqr is an isosceles triangle. Δpqr is an equilateral triangle. Δpqr is a obtuse triangle.
Answers
Answer:
The Third choice- Δpqr is an equilateral triangle
Explanation:
If you put it on the graph and make the triangle on the graph. You get your answer.
which statement best defines the term civil liberties?
Answers
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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Libro emma y las señoras del narco pdf gratis descargar.
Answers
Este es un libro de la autora mexicana Anabel Hernández publicado en el año 2021. Hernández es periodista de investigación y escritora, tiene ocho libros publicados y ha recibido varios premios a lo largo de su carrera, ya que se dedica especialmente a la investigación periodística del narcotráfico.
El libro "Emma y las otras señoras del narco" desarrolla específicamente a las mujeres que rodean este mundo del narcotráfico en México.
Esta es una descripción del libro, ya que no hay una pregunta específica en relación a la autora o al libro.
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A food worker has an earache what is the required to do.
Answers
Answer: If you are experiencing vomiting, diarrhea, jaundice, or a fever accompanied by a sore throat, the FDA requires that you report your symptoms to your manager.
Evaluate the following expression when x=-4 and y=4.
Answers
Answer: The answer is C. 1025/4
Explanation: x^6 - x
---------------
4y
Let x =-4 and y = 4
(-4)^6 - (-4)
---------------
4*4
4096 +4
------------------
16
4100/16
1025/4
Which list of nuclear emissions is arranged in order from the least penetrating power to the greatest penetrating power?.
Answers
Answer:
they are alpha < beta < neutron < gamma.
Explanation:
Anger anxiety and irritability are signs of brainly.
Answers
Anger and irritability are typical symptoms of anxiety disorders and one of the most frequent manifestations of them.
Anxiety is seen as the individual response to a danger that threatens from within in the form of a forbidden instinctual impulse that is about to escape the individual's control.
People with anxiety problems are more susceptible to anger and easily upset.Anxiety disorders are associated with symptoms such as restlessness or impatience, sleep disturbances, irritability.Therefore, we can conclude that the prominent signs of anxiety disorders include difficulty sleeping, irritability, poor concentration, motor restlessness, anger.
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Traveling with the current, a boat travels a distance 1. 5 times greater than it does when traveling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1. 5 mph?.
Answers
The speed of the boat in still water if the speed of the current is 1.5mph is equal to 7.5mph.
Solution:We have to define the terms in this question
We have Sc = Speed of the current = 1.5mph
We have Sb = Speed of the boat in the still water
We have this equation:
Sb + Sc = 1.5(Sb - Sc)
Sb + Sc = 1.5Sb - 1.5Sc
We have to collect the like terms
Sb - 1.5Sb = -1.5Sc - Sc
-0.5Sb = -2.5Sc
We divide through this equation by the value of Sb
[tex]\frac{-0.5Sb}{-0.5} =\frac{-2.5Sc}{-0.5}[/tex]
Sb = 5Sc
Given that the speed of current Sc = 1.5. then
Sb = 5*1.5
Sb = 7.5
In conclusion, the speed of the boat in still water at 1.5mph = 7.5mph
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On a coordinate plane titled area of maya's poster, a curved line with a minimum value of (1, negative 1) crosses the x-axis at (0, 0) and (2, 0), and the y-axis at (0, 0). The width of maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of maya’s poster determined by its length (x). Which value of x makes sense for the length of maya’s poster? x < 0 x < 2 x > 0 x > 2.
Answers
Answer:
0.0*90+/(2_4
.....................................
Answer:
its D for anybody that still needs help
Explanation:
What is the word for the place where two streets intersect.
Answers
Answer:
Intersection
Explanation:
A place where two streets intersect would be known as an intersection.
A student combines a solution of nacl(aq) with a solution of agno3(aq), and a precipitate forms. Which of the following is the balanced net ionic equation for the formation of the precipitate?.
Answers
Taking into account the definition of net ionic equation, the net ionic equation is Na⁺(aq) + Cl⁻(aq) → AgCl(s) and a precipitate of AgCl is formed when a solution of NaCl(aq) with a solution of AgNO₃(aq) are mixed.
The net ionic equation is a chemical equation for a reaction that lists only the species that participate in the reaction.
In other words, an ionic equation is a chemical equation where electrolytes in aqueous solution are written as dissociated ions. Usually this is a salt dissolved in water, where the ionic species are followed by (aq) in the equation, to indicate that they are in aqueous solution.
The balanced equation will be:
NaCl(aq) + AgNO₃(aq) → AgNO₃(aq) + AgCl(s)
where (aq) means aqueous and (s) solid.
Taking into account that:
All Cl⁻, Br⁻ and I⁻ salts are soluble. Except for the salts that these anions form with Ag⁺, Pb²⁺ and Hg²⁺ cations. All salts of NO₃⁻, C₂H₃O₂⁻, ClO₃⁻ and ClO₄⁻ are soluble.The total ionic equation in separated aqueous solution will be:
Na⁺(aq) + Cl⁻(aq) + Ag⁺(aq) + NO₃⁻(aq) → Ag⁺ + NO₃⁻(aq) + AgCl(s)
A spectator ion is an ion that appears both as a reactant and as a product in an ionic equation.
Spectator ions can be either cations (positively charged ions) or anions (negatively charged ions).
When writing a net ionic equation, spectator ions found in the original equation are ignored. Thus, the total ionic reaction is different from the net chemical reaction.
In this case, Ag⁺ and NO₃⁻ are the spectator ions because they appear unchanged in both the product and the reagent. So these ions cancel out by writing the net ionic equation and you get:
Na⁺(aq) + Cl⁻(aq) → AgCl(s)
Since AgCl is an insoluble salt, it will precipitate.
Finally, the net ionic equation is Na⁺(aq) + Cl⁻(aq) → AgCl(s) and a precipitate of AgCl is formed when a solution of NaCl(aq) with a solution of AgNO₃(aq) are mixed.
Learn more:
brainly.com/question/18896765?referrer=searchResults brainly.com/question/10553963?referrer=searchResults brainly.com/question/7018960 brainly.com/question/24099019?referrer=searchResults brainly.com/question/10538922?referrer=searchResultsAt a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? round to the nearest percent.
Answers
Answer: the answer is 5%
Explanation: got it right on edge
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,
Which of the following is a type of internal hard drive used in laptop computers?.
Answers
SSD's, SSHDS and magnetic disks
the internal hard drives that are used in laptops
The length of segment xy is 9 cm. Which statements regarding triangle xyz are correct? select two options. Yz = 9 cm xz = 9 cm xz = 9 startroot 2 endroot cm xz = 2(xy) yz is the longest segment in △xyz.
Answers
Based on the properties of an isosceles triangles and the Pythagorean Theorem, the statements that will be true regarding ΔXYZ are:
A. YZ = 9 cm
C. XZ = 9√2cm
What is an Isosceles Triangle?An isosceles triangle has two equal base angles of the same angle measure.The sides opposite to the two equal base angle of an isosceles triangle are congruent (equal in length).A right isosceles triangle can be solved using the Pythagorean Theorem given as: c² = a² + b², where a and b are the two smaller equal lengths, and c is the hypotenuse or longest side.Thus, based on the properties of an isosceles triangles and the Pythagorean Theorem, the statements that will be true regarding ΔXYZ are:
A. YZ = 9 cm
C. XZ = 9√2cm
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Answer:
A. and C. are correct
Explanation:
Got 100% on the quiz!
I need the answer one question one but if u have question 2 it's fine
Answers
Answer:
1.) 24
2.) 22.5
Explanation:
area of triangle =1/2×b×h
1.) b=8
h=6
a=1/2×6×8
a=24
ANSWER: D.) 24
2.). b=9
h=5
a=1/2×9×5
a=22.5
ANSWER: D.) 22.5
A "sentiment" is a feeling or belief. Based on the meaning of this word, what is wilson’s message in this sentence?.
Answers
Based on the meaning of the word "sentiment", Wilson's message is the following:
Americans should avoid thoughts, beliefs, and actions that are partial.This exercise has three options to choose from that I was able to find online as well as the message:
A) Americans should only worry about their actions, not their beliefs. B) Americans should avoid thoughts, beliefs, and actions that are partial. C) Americans should feel free to prefer one side to another.The correct option is B.
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What is the mass in kilograms of 14. 0 l of gasoline.
Answers
Answer:
The density of gasoline is 0.755 kg/L
ῥ_{gasoline} = 0.755 kg/L
And density is mass per volume.
ῥ = mass / volume
0.755 kg/L = mass / 14
mass = 0.755 x 14
mass = 10.57 kg
The mass in kilograms of 14.0 L of gasoline is about 10.57 kg. Note that this is just the rough value. As density of gasoline varies from 0.71 to 0.77 kg/L. SO the mass of 14.0 L of gasoline can be anywhere between 9.94 kg and 10.78 kg.