The Joule-Thomson coefficient for methane at 284 K and a specific volume of 19 L/mol is approximately -0.002 K/bar.
The Joule-Thomson coefficient is a measure of how the temperature of a gas changes as it expands or compresses under constant enthalpy conditions. It is calculated using the equation:
μ = (1/Cp) * (dT/dV) + V * α
Where:
- μ is the Joule-Thomson coefficient
- Cp is the constant-pressure heat capacity
- dT/dV is the rate of change of temperature with respect to volume
- V is the specific volume
- α is the volume expansivity
To calculate the Joule-Thomson coefficient, we can substitute the given values into the equation. Given that Cp is 1114 J/kg/K, dT/dV is zero since the specific volume is constant, V is 19 L/mol, and α is 0.007 K-1, we can simplify the equation to:
μ = V * α = 19 L/mol * 0.007 K-1 = 0.133 K/mol
To convert the units to K/bar, we need to divide by the conversion factor of 0.1 bar/L, resulting in:
μ = 0.133 K/mol / 0.1 bar/L = -0.002 K/bar
Therefore, the Joule-Thomson coefficient for methane at 284 K and a specific volume of 19 L/mol is approximately -0.002 K/bar.
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which of the following inequalities is graphed above?
Answer:
1st option
y=-3/8x+3
A scale drawing of a rectangular park had a scale of 1 cm = 110 m. 8.6 cm. -5.7 cm- What is the actual area of the park in meters squared?
The actual area of the park is 593142 m²
What is area?The space enclosed by the boundary of a plane figure is called its area. Area is measured in squared units.
The scale of the drawing of the park is 1cm represent 110m. This means that 1cm on the drawing is 110m actual length.
Therefore , since the length on the drawing is 8.6 cm, the actual length of the park = 8.6 × 110 = 946m.
The width on the drawing is 5.7 cm , therefore the actual width of the park = 110 × 5.7 = 627m
Therefore, the park takes the shape of a rectangle, The area of the park is therefore calculated as:
A = l× w
= 946 × 627
= 593142 m²
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ALGEBRAIC PROOF!!!! PLS HELP!!! The area of a rectangular blanket is 20 square feet. The blanket's length is (2x + 1) ft and the blanket's width is 2x ft. find the dimensions of the blanket. provide justification for each step.
Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 380 ft greater than the width The flag's width is ft.
Answer:
the width is 360 ft
Step-by-step explanation:
The computation of the width of the flag is shown below:
Let us assume the width be x
So the length would be x + 340
And, the perimeter is 2,120 ft
So the formula is
Perimeter = 2(length + width)
2,120 = 2(x + 340 + x)
2,120 = 2x + 680 + 2x
2,120 = 4x + 680
4x = 2,120 - 680
x = 360
hence, the width is 360 ft
Mr. Robert is a real estate agent, he earns 5% commission of his total sales. If he sold a property for $135,000. How much commission did he receive?
Answer:
ok if I did this right the answer should be 675. sorry if it's wrong. I hope it's right.
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
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The population of Renton, WA, is about 101920
people.
Ten years ago, the population was about 91000
people.
By what percent did the population increase
between ten years ago and now?
Answer:
Step-by-step explanation:
%change=100(final-initial)/(initial)
%change=100(101920-91000)/(91000)
%change=12%
given a set of data and a corresponding regression line, describe all values of x that provide meaningful predictions for y. a. prediction value are meaningful for all x-values that are realistic in the context of the original data setb. prediction value are meaningful only for x-values that are not included in the original data setc. prediction value are meaningful only for x-values in (or close to) the range of the original data
A pound of oranges costs $1.40. Peyton bought one and a half pounds of oranges. If she gave the clerk a $5.00 bill, how much change will she get back?
Answer:
$2.90
Step-by-step explanation:
$1.40* 1.5 = $2.10
$5.00-$2.10=$2.90
Find f(-2) for f(x) = 3 *2^x
Answer:
3/4
Step-by-step explanation:
f(x) = 3 *2^x
Let x= -2
f(-2) = 3 *2^(-2)
= 3 * 1/2^2
= 3 /4
Answer:
It is 3/4
Step-by-step explanation:
Select the two situations with the highest total surplus. 1.) Bonnie buys flowers for $2.25 less than she was willing to pay. She bought them from a seller would have been willing to receive $3 less from the sale. 2.) Don wanted to buy a scooter for no more than $5, but was only able to find a producer who would sell for $15.
1) Jay buys a house for $40,000 less than he is willing to pay. He bought a house from a seller who received $2,000 more than he was willing to sell.
4) Kevin wanted to spend $50 on a dishwasher and bought it for $45 from a manufacturer hoping to get $40.
Economic Surplus:
Economic surplus, also known in mainstream economics as general welfare or general public welfare or Marshall's surplus (after Alfred Marshall), is one of two related quantities. Pay.
Producer surplus or producer surplus is the amount a producer receives by selling at a market price higher than the lowest price they are willing to sell. This roughly equals profit margin (because producers are usually unwilling to sell at a loss and are generally uninterested in selling at a break-even price).
Total economic surplus = supplier surplus + consumer surplus
supplier surplus is the difference between the minimum price that a seller would take for his/her products and the actual selling priceconsumer surplus is the difference between the maximum price that a consumer would be willing to pay for a product and the actual priceOn scenario 1, total economic surplus = $40,000 + $2,000 = $42,000
On scenario 2, total economic surplus = $2.25 + $3 = $5.25
On scenario 3, total economic surplus = $0
On scenario 4, total economic surplus = $5 + $5 = $10
Complete Question:
Select the two situations with the highest total surplus. correct answer(s) jay buys a house for $40,000 less than he was willing to pay. he bought his home from sellers who received $2,000 more than they were willing to sell for. bonnie buys flowers for $2.25 less than she was willing to pay. she bought them from a seller would have been willing to receive $3 less from the sale. don wanted to buy a scooter for no more than $5, but was only able to find a producer who would sell for $15. kevin wanted to spend $50 on a dishwasher and bought one at $45 from a producer who was hoping to receive $40.
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PLZ HELP I WILL MARK BRAINLEIST!!!!
Option B is the correct answer, x+15=41
Help please I don’t get it
a) The expected number of people to die before their 71st birthday is given as follows: 128.
b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:
0.025679 x 5000 = 128.
The probability for item b is given as follows:
0.016798/0.018925 = 0.8876 = 88.76%.
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What is the end behavior of this function?
As X → + then y →
As X1-00 then y →
Answer:
dot
Step-by-step explanation:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese
Answer:
both negative infinity
Step-by-step explanation:
work out the length of x
Answer:Tes icahd
Step-by-step explanation:
PLEASE HELP! :)
INVERSE OPERATIONS!!
WILL GIVE BRAINLIEST TO FIRST TO ANSWER ALL!! :)
Answer:
1. 7.5cm
2. 24 weeks
3. 63
4. 35%
Step-by-step explanation:
91*70%=63.7
125-43.75=81.25
100/125= 0.8*43.75=35
P=2l+2w
20=2l+2(2.5)
20=2l+5
-5 -5
15=2(l)
/2 /2
7.5=l
510-150=360
360/15=24
What is the range of y = x 2 − 1 , given a domain of {–2, –1, 0, 1, 2}
The range of the function y = x² - 1 is {- 1, 0, 3}.
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
Given, A function y = x² - 1.
The set of domains is {- 2, - 1, 0, 1, 2}.
The set of co-domain is {3, 0, - 1, 0, 3}.
We know range ⊆ codomain.
Therefore, The range is {- 1, 0, 3}.
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Which ordered pair is on the graph of the function?
(1, 3)
(2, -5)
(-1, -3)
(-2, 6)
The ordered pairs that fall in the line as shown in the graph
(-2, 6)What are ordered pairs?Ordered pairs refers to the arrangement of 2 numbers in the form (a, b)
As used in the cartesian coordinates
a refers to a point in the x direction b refers to a point in the y directionSolutions of the problem is the points where the straight line intersect the the any of the ordered pair
Examining the graph properly the graphs intersect at the point represented in ordered pairs as (-2, 6)
This point is interpreted as follows
x direction has the point -2 while the y direction has the point 6
other points are out of the point
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C is a town.
The bearing of C from A is 050°.
Find the bearing of A from C.
In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
Which point is the bearing?The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.
To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.
Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:
Bearing of A from C = 50° + 180° = 230°
Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
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Complete question -
Shivani runs a day care center. Of the 8 children at the day care center, 4 of them are six-year-olds. What is the probability that a randomly selected child will be a six-year-old? Write your answer as a fraction or whole number.
The probability that a randomly selected child will be a six-year-old is given by P ( A ) = 1/2
Given data ,
Let the probability that a randomly selected child will be a six-year-old be represented as P ( A )
Now , the total number of children in the day care = 8
The number of 6 year olds in the day care = 4
So , P ( A ) = number of 6 year olds in the day care / total number of children in the day care
On simplifying , we get
P ( A ) = 4/8
P ( A ) = 1/2
P ( A ) = 0.5
Hence , the probability is 1/2
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¿Cuál propiedad explica que 20 × 25 = 25 × 20 ?
A property which explains that 20 × 25 = 25 × 20 include the following: B. Commutative property.
What is the Commutative Property of Multiplication?In Mathematics and Geometry, the Commutative Property of Multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged and grouped.
This ultimately implies that, re-arranging or regrouping the order of numbers that are being multiplied does not change the end result (output) or product in accordance with the Commutative Property of Multiplication.
Mathematically, the Commutative Property of Multiplication is represented by this mathematical equation:
a · (b) = b · (a)
20 × 25 = 25 × 20
500 = 500 (True).
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Complete Question:
What property explains that 20x25 = 25x20
Associative property
Commutative property
Distributive property
3
87. 8
98
-
8[?].
the question didn’t have enough letters for me to post so i’m using this to post it
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
hey can someone help me out
Answer:
See below
Step-by-step explanation:
The center of dilation would be at (6, -2). You can see if you drew lines connecting the top 2 points and the bottom 2 that they would meet at that point.
If the blue shape is the dilation, it is 1/2.
If the red shape is the dilation it is 2.
I'm not sure how to do this and im super confused
Answer: The m<A = 55
Step-by-step explanation:
1. We know that m<A is likely congruent to m<B (know that m< means measure of angle) {Also noting congruent means same}
2. With that, we can tell that the given info is telling us that 124 is the total degree for m<D.
3. So, this tells us that 2x + x + 41.5 = 124 is the formula we will use.
3a. 3x + 41.5 = 124 (Simplify)
3b. 3x = 82.5 (Combine like Terms)
3c. x = 27.5 (Divide)
4. Now we know what x is, so finding m<A is easy, 2(27.5) equals to 55, meaning m<A is 55. For m<B, 27.5 + 41.5 equals to 69. To make sure 55 + 69 equals to 124
5. So:
m<A = 55
m<B = 69
m<D = 124
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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52$ tie; 50% discount
Answer:
$26
Step-by-step explanation:
its 50% , just divide by 2
Answer:
52/2 = $26
Step-by-step explanation:
50% is half, so simply divide it by 2
A continuous variable _____ (does/does not) allow fractional amounts. a discrete variable _____ (does/does not) allow fractional amounts.
A continuous variable does allow fractional amounts. a discrete variable does not allow fractional amounts.
Which variables require boundaries, also known as real limits, in their measurement scales?
A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.
What distinguishes a ratio scale from an ordinal scale?
Ordinal: The information is classifiable and rankable. The data can be equally spaced, categorized, and rated. Ratio: The data is evenly spaced, categorizable, rankable, and has a natural zero.For continuous data, what kind of data would you use?
Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.
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Find the value of the expression below when x =3/4
4x^2+8x-5
Answer:
\( {4x}^{2} + 8x - 5 \\ when \: x \: is \: \frac{3}{4} \\ = > 4 {( \frac{3}{4} )}^{2} + 8( \frac{3}{4} ) - 5 \\ = > \frac{13}{4} \)
What is existence and uniqueness of solution in differential equation?
A differential equation's existence and uniqueness in mathematics refers to the existence of a single, clearly defined solution that meets a certain set of requirements.
How is this determined?A differential equation is a type of mathematical equation that links a number of known functions or variables to an unknown function and its derivatives. If a differential equation has existence and uniqueness of solution, it means that there is only one function that satisfies the equation and corresponds to the given conditions for a given set of beginning circumstances.
The terms and structure of the differential equation, such as linearity and initial conditions, decide whether or not a solution exists. The Piccard-Lipschitz theorem, which asserts that if a function and its derivatives are locally Lipschitz continuous, then the solution to the differential equation is unique in a neighbourhood of the initial conditions, frequently ensures the uniqueness of the solution.
In conclusion, the existence and uniqueness of a solution in differential equations is a crucial idea in mathematical modelling and aids in making sure that the solutions to a given problem are clear-cut and consistent with the underlying conditions.
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