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.
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 :)
In order to help prevent collisions with motorcycles, one of the hosts of the video recommends thinking of motorcycles as __________.
A lot of accident do happen on the highway. In order to help prevent collisions with motorcycles, one of the hosts of the video recommends thinking of motorcycles as occupying a space the same size as a car.
There are different ways to deal with motorcyclists in traffic so as too avoid collision. When in traffic, one must known that motorcyclist can stop faster or more quickly than cars.
The National Highway Traffic Safety Administration (NHTSA) has found out that motorcyclists are a likely than passengers of a car to die as a result of an accident and as such safety is important.
There are some important steps to reduce one's risk of being involved in a collision with a motorcycle. They are;
Always be on the alert or on point for motorcycles. Make sure to use your turn signals. Try to avoid distractions while driving. Always be careful and also be mindful when entering crossroads and intersections. Do stay at least four car lengths behind motorcycles on the road.
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Please select the word from the list that best fits the definition ages 85 and older.
Answer:
Where is the list?????!!!
Answer: Old-Old
Explanation:
An event with a probability of 0 is an event with a probability of 1 is.
Answer:
An event with a probability of 0 is Impossible. ✔
An event with a probability of 1 is Certain. ✔
Hope I have Helped ❤
The book that i read was entertaining passive voice.
The best way to change the given sentence from an active voice to a passive voice is: I was entertained by the book I read.
A passive voice can be defined as a form of verb in which the subject of a sentence undergoes the verb's action. Thus, a passive voice simply means that the subject of the sentence actively undergoes the action stated by its verb or is being acted on by the verb.
This ultimately implies that, a passive voice is typically used when a speaker or writer wants to make emphasizes on the action of a verb (verb's action) and the direct object of a sentence rather than its subject.
Note: The book is the object while entertaining is the verb's action.
In this scenario, the best way to change the given sentence from an active voice to a passive voice is "I was entertained by the book I read."
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N order to create imagery that appeals to the reader’s senses, an author must make careful word choices. Which words from the poem best create sensory images? she doesn’t dream she is a part of the pond she lives in tied to her by an unbreakable string luminous under the sand.
Answer:
luminous under the sand
Explanation:
I got it right on my Assignment :)
Answer:
d. luminous under the sand
Explanation:
What is a good way to make your podcast more interesting brainly.
Answer:
Add music or sound affects
Explanation:
I-ready
Which of the following is the most accurate qualitative description of the the magnetic field vector b⃗ inside the cylindrical resistor?.
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.
Physics sucks it’s so confusing
Answer:
You should've put this under physics.
Which list of nuclear emissions is arranged in order from the least penetrating power to the greatest penetrating power?.
Answer:
they are alpha < beta < neutron < gamma.
Explanation:
Which scenario best describes a person who is likely to be vulnerable to trafficking because of drug or alcohol dependence?.
there are 80 students in a school. every student is taking
Answer:
then you are single it every one taken
The scatter plot shows how the cooking time for a turkey is related to its weight. Which statement is not supported by the trend in the scatter plot?.
Answer Each additional pound adds about 2 hours of cooking time.
Explanation:
this is the answer
7,528 irrational or rational
Answer:7528 is not a rational number
Explanation: because we know it is not a perfect square.
Popcorn popping in a pot on the stove is an example of:.
Answer:
Convection
Explanation:
I hope it helps Let me know.
John a team member has completed e0 agile for beginners he wants to contribute to tcs agile vision.
Based on the information given, the thing that should be done by John will be that he should detail his scrum master.
It should be noted that the scrum master or the team lead is important for the coordination of the team members and also ensures the progress of the team.
In this case, since John is a team member, has completed e0 agile for beginners and he wants to contribute to tcs agile vision, he should inform the scrum master. This is important in knowing the next step to take.
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Which word from the haiku supports gabriel’s analysis? april’s willow-leaves butterfly balances.
Answer:
Hey mate!
Explanation:
A motif is dominant idea. A kigo is a word that is tied to a season. In this haiku, the kigo is April which is specifically tied to Spring. April is also the motif because the dominant idea of the haiku is April.
pls mark me as brainliest!!
Answer:
The answer is simply A
Explanation:
because its correct on EDGE2022
If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(.
Answer:
x+7=3x+1÷13+22x
x+7=3x+1÷13+22x
x+7=3x+1÷13+22x
Answer:
If (3x2+22x+7)/(x+7)=3x+1 ,then (x+7)=(3x2+22x+7)/(3x+1)
Explanation:
This is because if the first expression was 8 then the 2nd 2 if we divide 8 by 2 we get 4 and to get the 1st number of the equation we have to multiply the answer and the 2nd number of the equation. However if we needed to find the 2nd number, we would do the opposite and divide the 1st number with the answer. This applies to every division equation.
Another example is 7/4=1.75 Lets put what we explained above into action.
7/4=1.75
1.75x4=7
7/1.75=4
I hope you found this answer helpful.
Graph the image of this figure after a dilation with a scale factor of 3 centered at (−7, −6). Use the polygon tool to graph the dilated figure.
The dilation transformation gives an image that is similar to the pre-image
but have a different size.
Please find attached the required graph of the image created with MS ExcelReasons:
Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)
The scale factor of dilation = 3
The center of dilation = (-7, -6)
Required:
The graph of the image following the dilation.
Solution:
The given points relative to the center of dilation are;
(-7 - (-7), -3 - (-6)) = (0, 3)
(-3 - (-7), -2 - (-6)) = (4, 4)
(-4 - (-7), -5 - (-6)) = (3, 1)
Following the dilation gives;
3 × (0, 3) = (0, 9)
3 × (4, 4) = (12, 12)
3 × (3, 1) = (9, 3)
Adding the coordinates of the center of dilation to the above relative points of the image gives;
Location of point A' = (0 + (-7) , 9 + (-6)) = (-7, 3)
Location of point B' = (12 + (-7) , 12 + (-6)) = (5, 6)
Location of point C' = (9 + (-7) , 3 + (-6)) = (2, -3)
Therefore, the image is; A'(-7, 3), B'(5, 6), C'(2, -3)
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Characteristics of bipolar disorder typically include brainly.
Complete the following paragraph about the battles in the pacific theater brainly.
There are different kinds of war. Japan aimed at conquering the small islands in the Pacific Ocean one by one. This strategy of controlling one small island after another is called Island Hopping.
The US is known to have implemented island hopping so as to be able to defeat Japan.The United States was known to have invented a plan called “Island Hopping”. Through which they aimed to have military bases and secure as many small islands in the Pacific.
See full question below
Fill in the blank in this paragraph about the Pacific Theater of World War II.
Japan aimed at conquering the small islands in the Pacific Ocean one by one. This strategy of controlling one small island after another is called _____
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what is the molarity of a solution prepared by dissolving 54.3 g of ca(no3)2 to form 355 ml of the solution?
Answer:
The molarity of a solution prepared by dissolving 54.3 g of Calcium nitrate into 355 mL of water is 0.9881M
Molarity of solution is the ratio of the number of moles of the substance to the volume.
n is the number of moles of the compound
Mass of calcium nitrate = 54.3g
Molar mass of calcium nitrate = Ca(NO₃)₂ = 164.088 g/mol
Get the required molarity;
Hence the molarity of a solution prepared by dissolving 54.3 g of Calcium nitrate into 355 mL of water is 0.9881M
Explanation:
:)
Consider this reaction: 2h+ + co32- → h2o + co2. Identify each of the following as a product, a reactant, or a coefficient. Co32-: h2o: co2: the 2 in front of h+:.
1. CO₃²¯ is a reactant
2. H₂O is a product
3. CO₂ is a product
4. The 2 in front of H⁺ is a coefficient.
Chemical equation generally comprises of reactants and products.
The reactants are located on the left while the products are located on the right side.The coefficients are numbers written where necessary before each reactants or products in order to balance the chemical reaction.With the above information in mind, we can obtain the answers to the question as follow:
2H⁺ + CO₃²¯ —> H₂O + CO₂
From the above equation, we can conclude as follow:
CO₃²¯ is a reactantH₂O is a product CO₂ is a productThe 2 in front of H⁺ is a coefficient.Learn more about chemical equation:
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The reactant, product and coefficient of the chemical equation are 2H⁺ and CO₃², H₂O and CO₂ and 2 respectively.
The chemical reaction is as follows:
2H⁺ + CO₃²⁻ → H₂O + CO₂
Chemical reaction is the reaction between two or more substances to form a new substance.
The reaction is between an hydrogen ion(cations) and a carbonate ion(anions).
Generally, the reactant of a chemical equation is on the left hand side of the equation while the product is on the right hand side.
The coefficient are in front of the elements or compound involve in the reaction.
Therefore, 2H⁺ and CO₃²⁻ are the reactant of the chemical equation and H₂O and CO₂ are the product . The coefficient is the 2 in front of H⁺ .
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karen performs a transformation on parallelogram abcd
is there something wrong with the friends response to your mother's hospitality brainly
which change of state is shown in the model? condensation boiling sublimation freezing
Answer:Condensation Boiling
Explanation:
This world war ii poster was designed to encourage americans to avoid sharing information that could hurt the war effort. Which appeals are used in the poster? identify at least two examples from the poster to support your answer. Answer in a minimum of two complete sentences.
There are different kinds of poster. The appeal are used in the poster is to "persuasion". The poster aim to influence or convince the soldiers to carry out their duties without any disturbance or noise.
There are different kinds of appeals in persuasion. They are;
EthosPathosLogosPathos is known to be as an appeal to emotions. This is because, it aim too persuade one's audience by appealing to their feelings.
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Which of these is an agent of chemical weathering?.
What role does the house of representative have in the impeachment process brainly.
The house of representative is responsible for bringing charges against an official to remove the person from office.
In impeachment proceedings, the House of Representatives charges an official of the federal government by approving, by simple majority vote, articles of impeachment.
After the House of Representatives sends its articles of impeachment to the Senate, the Senate sits as a High Court of Impeachment to consider evidence, hear witnesses, and vote to acquit or convict the impeached official.
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Answer:It brings charges against an official to remove the person from office.
Explanation:
edge
What is the most likely consequence of open pit mining on plant life? a. A dramatic reduction in the variety of plant species b. An increase in the number of plant species c. The complete loss of plant life in the area occupied by the surface mine d. A temporary decrease in plant populations please select the best answer from the choices provided.
The most likely consequence of open pit mining on plant life is a dramatic reduction in the variety of plant species. Open pit mining involves removing large amounts of rock and soil to extract valuable minerals. This process destroys the natural habitat of plants and disrupts the ecological balance.The correct answer is option A.
Here is a step-by-step explanation:
1. Open pit mining involves digging a large hole in the ground to extract minerals such as coal, gold, or copper. This process often requires the removal of trees, vegetation, and topsoil from the area.
2. The removal of vegetation and topsoil disrupts the natural ecosystem, as plants play a vital role in supporting other organisms. They provide food, shelter, and oxygen for animals, insects, and microorganisms.
3. The destruction of plants in the area leads to a loss of habitat for various plant species. Many plants are unable to survive or adapt to the harsh conditions created by open pit mining, such as exposure to sunlight, wind, and erosion.
4. The disturbed soil and exposed rock surfaces are often unable to support the growth of diverse plant species. This results in a reduction in the variety of plants that can grow in the area.
5. Additionally, the mining process may introduce pollutants and contaminants into the soil, water, and air, further damaging plant life.
In summary, open pit mining has a significant negative impact on plant life, resulting in a dramatic reduction in the variety of plant species. The destruction of habitat, disturbance of soil and rock surfaces, and pollution are all contributing factors to this consequence.
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