The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.
For a refrigerator,
The coefficient of performance is Qc / W
For a Carnot refrigerator,
The coefficient of performance is Tc / (Th - Tc).
We have,
The rate at which work is done on the refrigerator depends on the specific context or situation.
In general terms,
Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.
This work is usually done by a compressor, which requires energy input to operate.
The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).
The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):
COP = Qc / W
For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:
COP = Tc / (Th - Tc)
Where:
Tc = Temperature of the cold reservoir (inside the refrigerator)
Th = Temperature of the hot reservoir (outside the refrigerator)
Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.
However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.
Thus,
The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.
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A national achievement test is administered annually to 3rd graders. the test has a mean score of 100 and a standard deviation of 15. if jane's z-score is 1.20, what was her score on the test?
Answer:
118.
Step-by-step explanation:
To find Jane's score on the national achievement test with a given mean of 100 and standard deviation of 15, we calculate it using her z-score of 1.20 to get her score of 118.
Explanation:The question asks: A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test.
To find Jane score on the test, we use the formula for calculating scores from z-scores: Score = Mean + (Z-score × Standard Deviation).
Given that the mean is 100 and the standard deviation is 15, and Jane's z-score is 1.20, we can calculate her score as follows:
Score = 100 + (1.20 × 15)Score = 100 + 18Score = 118Therefore, Jane's score on the national achievement test was 118.
If f(x)=x^2-3x,find f(-18). Show work
Simplify square root of 5 plus the square root of 125 plus 25. I don't understand. Can someone please help me?
Andreas invested $1000 in savings account. After 4 years, the account had earned a total of $112 simple interest without any additional deposits. What was his interest rate.
The temperature in a town is 36.6F during the day and -12.6F at night what is the temperature change from day to night
The temperature changes by 49.2F from day to night. You calculate this by subtracting the night temperature from the day temperature and remembering to treat subtraction of a negative as addition.
Explanation:The subject of your question is the calculation of temperature change, which is a simple subtraction problem in mathematics. Given a temperature of 36.6F during the day and a temperature of -12.6F at night, you can find the temperature change by subtracting the night temperature from the day temperature.
So, it will be 36.6F - (-12.6F) equals 49.2F. It's important to note here that subtracting a negative number is the same as adding a positive number which is why we add 12.6F instead of subtracting it.
This means, the temperature changes by 49.2F from day to night.
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Find the simple interest on a $2,219 principal, deposited for six years at a rate of 5.11%
There are 2.54 centimeters in an inch how many inches are in 51.78 centimeters round to the nearest tenths
Please help me! Im really confused on how to solve problems like this
For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.
Explanation of the ratios of French decimal time to standard time after the French Revolution.
Explanation:Ratio of French Decimal Week to Standard Week:
1 French decimal week = 10 days, whereas 1 standard week = 7 days. So, the ratio is 10/7.
Ratio of French Decimal Second to Standard Second:
1 French decimal second = 0.01 standard second since 1 hour = 100 French decimal minutes = 100 x 0.01 = 1 standard hour.
(a) The ratio of the French decimal week to the standard week is [tex]\( \frac{10}{7} \)[/tex].
(b) The ratio of the French decimal second to the standard second is [tex]\( \frac{5}{3} \)[/tex].
To find the ratios of the French decimal week to the standard week and the French decimal second to the standard second, we'll compare the durations of these units in the French decimal system to those in the standard system.
(a) Ratio of the French decimal week to the standard week:
In the French decimal system:
- One French decimal week consists of 10 days.
In the standard system:
- One standard week consists of 7 days.
So, the ratio of the French decimal week to the standard week is:
[tex]\[ \text{Ratio} = \frac{\text{French decimal week}}{\text{Standard week}} = \frac{10 \text{ days}}{7 \text{ days}} \][/tex]
(b) Ratio of the French decimal second to the standard second:
In the French decimal system:
- One minute consists of 100 seconds.
In the standard system:
- One minute consists of 60 seconds.
So, the ratio of the French decimal second to the standard second is:
[tex]\[ \text{Ratio} = \frac{\text{French decimal second}}{\text{Standard second}} = \frac{100 \text{ seconds}}{60 \text{ seconds}} \][/tex]
Now, let's simplify these ratios:
(a) Ratio of the French decimal week to the standard week:
[tex]\[ \frac{10}{7} \][/tex]
(b) Ratio of the French decimal second to the standard second:
[tex]\[ \frac{100}{60} = \frac{5}{3} \][/tex]
So, the ratios are:
(a) for the French decimal week to the standard week.
(b) [tex]\( \frac{5}{3} \)[/tex] for the French decimal second to the standard second.
Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her savings. How long will it take her to save enough money to buy the bike?
Best buy shoes had a back to school special. The total bill for four pairs of shoes came to $69.24 ( before tax ) What was the average price for each pair of shoes?
QUESTION 2 If you only purchased 1 pair of shoes at Best Buy Shoes instead of the four described in problem 20, how much would you have paid, based on the average price?
Answer: a) $17.31, b) $17.31.
Step-by-step explanation:
Since we have given that
Total bill for four pairs of shoes = $69.24
Number of pairs of shoes = 4
We need to find the average price for each pair of shoes .
So, Average price would be
[tex]\dfrac{\text{Total amount}}{\text{Number of pairs of shoes}}\\\\=\dfrac{69.24}{4}\\\\=\$17.31[/tex]
If he purchased only 1 pair of shoes, the amount he has to pay based on average price would be $17.31.
Hence, a) $17.31, b) $17.31.
Final answer:
The average price for each pair of shoes from the total bill of $69.24 is $17.31. If only one pair of shoes was purchased, it would also cost $17.31.
Explanation:
To find the average price for each pair of shoes in the first question, you divide the total bill by the number of pairs of shoes. In this case, the total bill is $69.24 for four pairs of shoes.
Step-by-step calculation:
Divide the total cost ($69.24) by the number of pairs (4).
The calculation will be $69.24 / 4 = $17.31.
The average price for each pair of shoes is $17.31.
For the second question, if you were to purchase only one pair of shoes, the cost would be equal to this average price, which is $17.31.
On a farm, there are 20 fewer cows than twice the number of pigs. If there are 50 cows, how many pigs are there? Write a two step equation to model the scenario and answer it.
Write the equation of a line that has a slope 1/3 and y-intercept 4.
In slope-intercept form, y = (1/3)x + 4 can be used to represent the equation of a line with a slope of 1/3 and a y-intercept of 4.
Explanation:In mathematics particularly in algebra, the equation of a line is usually formulated in the slope-intercept form, which is y = mx + b. Where m is the slope of the line and b is the y-intercept. For a line with a slope of 1/3 and y-intercept of 4, you would substitute 1/3 for m and 4 for b. Therefore, the equation of the line would be y = (1/3)x + 4
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Convert 30 feet per second to miles per minute.
5280 ft = 1 mi
Round to the nearest hundredth.
We know that:
1 mile = 5280 ft
1 minute = 60 sec
Therefore to convert this we simply use the conversion factors:
(30 ft / s) * (60 s / 1 min) * (1 mi / 5280 ft) = 0.34 mi / min
So we got 0.34 miles per minute.
Can someone please help me with this problem?
Let f(x)=(x-2)^3+8.
Show that this function is one-to-one algebraically.
I've been stuck on this problem for quite some time now. I'm not asking for answers just a little explanation on what I need to do to solve it.
Which expression is equal to 2−√ 32 ?
8i√2
−8√2
8√2i
−8i√2
Answer:
A. [tex]8i\sqrt{2}[/tex]
Step-by-step explanation:
We have been given a radical expression [tex]2\sqrt{-32}[/tex]. We are asked to find equivalent expression to our given expression.
Using radical rule [tex]\sqrt{-a}=\sqrt{-1}\cdot \sqrt{a}[/tex], we can write [tex]\sqrt{-32}[/tex] as product of [tex]\sqrt{-1}\cdot\sqrt{32}[/tex].
[tex]2\sqrt{-32}=2\cdot \sqrt{-1}\cdot\sqrt{32}[/tex]
Substitute [tex]\sqrt{-1}=i[/tex]:
[tex]2\sqrt{-32}=2i\cdot\sqrt{32}[/tex]
[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 16}[/tex]
[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 4^2}[/tex]
[tex]2\sqrt{-32}=2*4i\cdot\sqrt{2}[/tex]
[tex]2\sqrt{-32}=8i\sqrt{2}[/tex]
Therefore, the equivalent expression would be [tex]8i\sqrt{2}[/tex].
The expression which is equal to 2√-32 is; 8i√2
According to the question, we have been given the radical expression; 2√-32
First, the expression can be evaluated as follows;
=2√-32= 2√-1 × 32We must recall that, In complex numbers, √-1 = i.
= 2i√32= 2i√16 ×2= 8i√2Therefore, the expression which is equal to 2√- 32 is:. 8i√2
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please answer both questions thank you.
Eli took the fleet of 8 vans for oil changes. All of the vans needed windshield wipers which cost $24 per van. The total bill was $432. Write an equation to find out what oil change cost . Solve the equation
Suppose that there are three astronauts outside a spaceship and they decide to play catch. all the astronauts weigh the same on earth and are equally strong. the first astronaut throws the second one toward the third one and the game begins. describe the motion of the astronauts as the game proceeds. how long will the game last?
Sari has 3 times as many pencils as sam.together they have 28 pencils how many more pencils does sari have
round to the nearest tenth.
Imagine that last night you saw the star betelgeuse just starting to rise on your eastern horizon at 7:15 pm. at 7:15 pm tonight, will betelgeuse be above, below, or exactly on your eastern horizon?
Final answer:
Betelgeuse will be either just above the horizon or at virtually the same position on the eastern horizon at 7:15 pm the next day, as stars like Betelgeuse rise in the east and set in the west, completing a rotation around the celestial sphere in about 24 hours.
Explanation:
The question pertains to the observation of the star Betelgeuse and its position relative to the horizon at a specific time from one day to the next. Since most stars rise in the east and set in the west, completing one full rotation around the celestial sphere in approximately 24 hours, we can infer that Betelgeuse will follow a similar path. However, due to Earth's rotation, any given star will appear to rise and set four minutes earlier each night, due to the Earth’s orbit around the Sun completing an extra degree each day. This might suggest that Betelgeuse would be slightly above the horizon at 7:15 pm the following night. Yet, the student should be aware that this four-minute difference can be negligible, and for practical observing purposes, Betelgeuse will be seen rising at virtually the same time, hence nearly at the same position on the horizon.
35 points in a game if the team scored 21 points the first half the fraction of the total scored in the second half was
35 -21 = 14
14/35 reduces to 2/5
A scientist inoculates mice, one at a time, with a disease germ until he finds 2 that have contracted the disease. if the probability of contracting the disease is 1/6, what is the probability that 8 mice are required?
ax+2xy=14 solving for y
Answer:
[tex]y=\dfrac{14-Ax}{2x}[/tex]
Step-by-step explanation:
The given expression is :
[tex]Ax+2xy=14[/tex].............(1)
We need to find the value of y. Subtracting "Ax" on both sides of equation (1) as :
[tex]Ax-Ax+2xy=14-ax[/tex]
[tex]2xy=14-Ax[/tex]
Dividing both sides of above equation by "2x" as :
[tex]\dfrac{2xy}{2x}=\dfrac{14-Ax}{2x}[/tex]
[tex]y=\dfrac{14-Ax}{2x}[/tex]
So, the value of y is, [tex]y=\dfrac{14-Ax}{2x}[/tex]. Hence, this is the required solution.
find the slope and y-intercept of the line that is parallel to y=-x-1 and passes through the point (5,-5)
Name two congruent angles that measure 15
Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure of each angle.
The measure of the smaller angle is 77 degrees, and the measure of the larger angle is 103 degrees.
Explanation:Let's represent the measure of the smaller angle as x degrees. Since the measure of one angle is 26 degrees greater than the other angle, the measure of the larger angle can be represented as x + 26 degrees.
According to the definition of a linear pair, the sum of the measures of two angles forming a linear pair is always 180 degrees. So we can write the equation:
x + (x + 26) = 180
Solving this equation, we get: 2x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
Therefore, the smaller angle measures 77 degrees and the larger angle measures 77 + 26 = 103 degrees.
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When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?
At the movie theatre, child admission is $5.50 and adult admission is $9.40 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1379.20 . How many child tickets were sold that day?