The vapor pressure of Substance X at -73°C is approximately 10.26 kPa.
The vapor pressure of a substance is the pressure exerted by its vapor in equilibrium with its liquid at a given temperature. In order to calculate the vapor pressure of Substance X at -73°C, we can use the Clausius-Clapeyron equation:
ln(P2/P1) = (-ΔHvap/R) * (1/T2 - 1/T1)
Where:
P1 is the vapor pressure at the normal boiling point (128°C)
P2 is the vapor pressure at the given temperature (-73°C)
ΔHvap is the enthalpy of vaporization (19.0 kJ/mol)
R is the ideal gas constant (8.314 J/(mol·K))
T1 is the temperature at P1 (the normal boiling point, 128°C)
T2 is the given temperature (-73°C)
First, we need to convert the temperatures from Celsius to Kelvin by adding 273.15:
T1 = 128 + 273.15 = 401.15 K
T2 = -73 + 273.15 = 200.15 K
Now we can substitute these values into the equation:
ln(P2/P1) = (-ΔHvap/R) * (1/T2 - 1/T1)
ln(P2/P1) = (-19.0 kJ/mol / (8.314 J/(mol·K))) * (1/200.15 K - 1/401.15 K)
Calculating the right side of the equation:
ln(P2/P1) = (-19.0 / 8.314) * (0.004998 - 0.002493)
ln(P2/P1) = -2.29
To find P2/P1, we can take the exponential of both sides of the equation:
e^ln(P2/P1) = e^(-2.29)
P2/P1 = 0.1013
Finally, we can solve for P2 by multiplying both sides by P1:
P2 = P1 * (P2/P1)
P2 = 101.3 kPa * 0.1013
P2 = 10.26 kPa
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Branliest to the smart people i’m stvpid
Express the ratio below in its simplest form
12:6
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1
Evaluate the expression for f = –19.8.
Write your answer as a decimal or whole number.
17.8 + f =
Answer:
-2
Step-by-step explanation:
17.8 + f =
17.8 + (-19.8)
= -2
Answer:
r = radius
h = height
s = slant height
V = volume
L = lateral surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Calculator Use
This online calculator will calculate the various properties of a right circular cone given any 2 known variables. The term "circular" clarifies this shape as a pyramid with a circular cross section. The term "right" means that the vertex of the cone is centered above the base. Using the term "cone" by itself often commonly means a right circular cone.
Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm3, L in mm2, B in mm2 and A in mm2.
Below are the standard formulas for a cone. Calculations are based on algebraic manipulation of these standard formulas.
Circular Cone Formulas in terms of radius r and height h:
Volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
Base surface area of a cone (a circle):
B = πr2
Total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Circular Cone Calculations:
Use the following additional formulas along with the formulas above.
Given radius and height calculate the slant height, volume, lateral surface area and total surface area.
Given r, h find s, V, L, A
use the formulas above
Given radius and slant height calculate the height, volume, lateral surface area and total surface area.
Given r, s find h, V, L, A
h = √(s2 - r2)
Given radius and volume calculate the height, slant height, lateral surface area and total surface area.
Given r, V find h, s, L, A
h = (3 * v) / (πr2)
Given radius and lateral surface area calculate the height, slant height, volume and total surface area.
Given r, L find h, s, V, A
s = L / (πr)
h = √(s2 - r2)
Given radius and total surface area calculate the height, slant height, volume and lateral surface area.
Given r, A find h, s, V, L
s = [A - (πr2)] / (πr)
h = √(s2 - r2)
Given height and slant height calculate the radius, volume, lateral surface area and total surface area.
Given h, s find r, V, L, A
r = √(s2 - h2)
Given height and volume calculate the radius, slant height, lateral surface area and total surface area.
Given h, V find r, s, L, A
r = √[ (3 * v) / (π * h) ]
Given slant height and lateral surface area calculate the radius, height, volume, and total surface area.
Given s, L find r, h, V, A
r = L / (π * s)
h = √(s2 - r2)
Step-by-step explanation:
this is my answer on cone question
describe a dataset where defining a confidence interval would be important for testing validity of data
The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.
A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.
Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.
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Find the measure of each angle indicated.
23)
A) 125°
C) 120°
B) 110°
D) 112°
Answer:
B
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , then
? + 107° + 143° = 360°
? + 250° = 360° ( subtract 250° from both sides )
? = 110° → B
Seven juniors and eight seniors are available to join a University committee. The committee needs five people to serve as media consultants. (a) If the media group needs at least four seniors, in how many ways can this be done
The problem requires finding the number of ways to select five media consultants, given that at least four seniors are included. There are seven juniors and eight seniors to choose from. There can be two cases when at least four seniors are selected.
In case 1, exactly four seniors and one junior need to be selected. The number of ways to select four seniors from eight seniors is C(8,4) = 70. The number of ways to select one junior from seven juniors is C(7,1) = 7. Therefore, the total number of ways to select five media consultants with exactly four seniors is 70 × 7 = 490.
In case 2, all five media consultants selected are seniors. The number of ways to select five seniors from eight seniors is C(8,5) = 56. Therefore, the total number of ways to select five media consultants with all seniors is 56.
The total number of ways to select five media consultants such that at least four seniors are included is the sum of the number of ways to select five media consultants with exactly four seniors and the number of ways to select five media consultants with all seniors, which is 490 + 56 = 546.
Hence, the total number of ways to select five media consultants such that at least four seniors are included is 546.
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evaluate the integral 6x(1 y^3)^1/2 da where r is the triangle enclosed by x=0, y=x, and y=1
Answer: The value of the integral is -1.
Step-by-step explanation:
We want to evaluate the integral : ∫∫r 6x√(1-y^3) dA
where r is the triangle enclosed by the x-axis, y-axis, and the line y = 1.
To set up the double integral, we need to determine the bounds of integration for x and y.
Since the triangle is enclosed by the x-axis, y-axis, and the line y = 1, we know that the bounds for y are from 0 to 1.
For x, we know that it varies between the y-axis and the line y = x, so the bounds for x are from 0 to y.
Therefore, we can set up the double integral as: ∫(y=0 to 1) ∫(x=0 to y) 6x√(1-y^3) dx dy
Now we integrate with respect to x: ∫(y=0 to 1) [3x^2√(1-y^3)]_0^y dy= ∫(y=0 to 1) 3y^2√(1-y^3) dy
At this point, we can make the substitution u = 1 - y^3, du = -3y^2 dy, which gives:= -∫(u=1 to 0) √u du
To integrate this expression, we make the substitution w = √u, dw = 1/(2√u) du, which gives:
= -2∫(w=1 to 0) w dw
= -[w^2]_1^0
= -1
Therefore, the value of the integral is -1.
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what is the answer for. -3x + 2 > 14
Answer:
x<-4
Step-by-step explanation:
MARK AS BRAINLIST!!
please solve these two questions guys
Answer:
16. x = 18
17. x = 26 2/3
Step-by-step explanation:
16. The angle bisector divides the sides proportionally:
9/18 = x/36
x = 36(9/18)
x = 18
__
17. The parallel lines divide the transversals proportionally:
20/6 = x/8
x = 8(20/6) = 160/6
x = 26 2/3
Answer:
18
26.7
Step-by-step explanation:
16.
9/18= x/36
x= 36*9/18= 18
17.
20/6= x/8
x= 20*8/6
x= 26.7
A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.4 inch and a height of 2.2 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.
2.08π square inches
6.24π square inches
8.32π square inches
19.59π square inches
The makeup artist will need approximately 7.296π square inches of gift wrap to wrap 3 lipsticks. Rounded to two decimal places, the answer is 19.59π square inches.
How to calculate how many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticksThe formula for the surface area of a cylinder is:
SA = 2πr² + 2πrh
where r is the radius and h is the height of the cylinder.
For one lipstick, the surface area is:
SA = 2π(0.4)² + 2π(0.4)(2.2)
SA = 1.024π + 1.408π
SA = 2.432π square inches
To wrap 3 lipsticks, the total surface area would be:
SA = 3(2.432π)
SA = 7.296π square inches
Therefore, the makeup artist will need approximately 7.296π square inches of gift wrap to wrap 3 lipsticks. Rounded to two decimal places, the answer is 19.59π square inches.
So the correct option is: 19.59π square inches.
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File is attached to question
3m - 6 - 2m = 3 how do i solve for m?
Answer:
m=9
Step-by-step explanation:
3m-6-2m=3
Combine like terms
3m-2m=1m
1m-6=3
Add 6 to both sides
1m=9
Divide both sides by 1
m=9
Hi there! Your answer is m = 9
Please see the explanation for a clear understanding to the problem.
Any questions about the answer/explanation, feel free to ask in comments! :)
Step-by-step explanation:
Goal
Solve the equation for m-term.Given
Equation\(\Large{3m-6-2m=3}\)
Step 1
Combine like terms.Like terms are the terms have same variables. For example, 2m and 3m. 2m and 3m both are like terms because they both have same variable which is m-term.
But 2m and 3a are not like terms because 2m has m-term as a variable but 3a has a-term as a variable. Both are terms but not like terms.
From the equation:
\(3m-2m=3+6\)
Since we combine like terms, we can't combine a constant with a variable so we move to the side where they are alike.
Evaulate 3m-2m = m and 3+6 = 9
\(m = 9\)
There aren't really much steps solving this. The next step is going to be how to check an answer. It's useful when you are not certain or sure about the answer that you get. If you are not certain on the answer, this step is highly advised for a beginner.
Optional Steps - Answer Check
Step 2
Substitute m = 9 in the equation.The step is optional as said. From the equation:
\(3m-6-2m=3\)
We can do this two ways which are when we simplify the equation then substitute in the value of m or we substitute m-value first then simplify/evaluate.
I will be demonstrating these two steps to you.
Step 2.1
Simplify/Evaluate before Substitution\(3m-6-2m=3\\3m-2m=3+6\\m=9\\9=9\)
Step 2.2
Substitution before Evaluation/Simplify\(3m-6-2m=3\)
Substitute m = 9 in the equation.
\(3(9)-6-2(9)=3\\27-6-18=3\\9-6=3\\3=3\)
Notice that no matter which method you use, you'd still get the same answer. Since the equation is true for m = 9. Therefore, the solution is m = 9.
What is the base of log(x) = 100? Explain.
Answer:
10
Step-by-step explanation:
If no base is written, the common logarithm is implied.
Answer:
the value of x will depend on the base of the logarithm.
Step-by-step explanation:
The base of a logarithm is the number that is used as a factor in the exponential equation that defines the logarithm. For example, in the logarithmic equation log10(x) = 100, the base is 10.
In the equation log(x) = 100, the base of the logarithm is not given. In order to solve for x, we need to know the base of the logarithm. Without this information, we cannot find the value of x.
For example, if the base of the logarithm is 10, we can rewrite the equation as log10(x) = 100, and then use the following property of logarithms to solve for x:
log10(x) = 100
10^(log10(x)) = 10^100
x = 10^100
On the other hand, if the base of the logarithm is 2, we can rewrite the equation as log2(x) = 100, and then use the following property of logarithms to solve for x:
log2(x) = 100
2^(log2(x)) = 2^100
x = 2^100
If one of the factors of 200 is 40, what is the other factor that would create this product?
Question 8 of 25
This question: 1 point(s) possible
An auto repair shop charged a customer $340 to repair a car. The bill listed $100 for parts and the remainder for labor. If the cost of labor is $40 per hour, how many hours of labor did it take to repair
he car?
OA. 5 hours
OB. 6 hours
OC. 7 hours
OD. 6.5 hours
Answer:
6
Step-by-step explanation:
To find the hours of labor it took to repair the car, we need to subtract the cost of parts from the total cost and then divide the result by the cost per hour of labor.
So, $340 - $100 = $240 was spent on labor.
$240 ÷ $40 per hour = 6 hours of labor.
Therefore, the answer is OB. 6 hours.
Plzzzz help mee plzzzzz plzzzzz
Answer:
1. B
2. Seven Hundred thousand nine hundred and four
Step-by-step explanation:
Tony had 4 and 1/2 feet of rope. He wanted to break it u into sections that were each 3/4 long how many sections of rope can tony create
Answer:
6
Step-by-step explanation: first convert 4 1/2 into an improper fraction: 9/2
9/2 ÷ 3/4 = 9/2 · 4/3 (multiply fractions)
36/6
6
Find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i 2j 7k.
To find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k, we can use the formula for the equation of a plane which is Ax + By + Cz = D.
The equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77
This is further explained as follows:
The equation of a plane is given by:
Ax + By + Cz = D
where A, B, and C are the components of the normal vector, and D is a constant. To find A, B, and C, we can use the components of the given normal vector n=6i+2j+7k.
Therefore we have:
A = 6, B = 2, C = 7
Now, substitute the values of A, B, and C into the equation:
6x + 2y + 7z = D
To find the value of D, we can substitute the coordinates of the given point p0=(7,7,3) into the equation and solve for D. So, we have:
6(7) + 2(7) + 7(3) = D
42 + 14 + 21 = D
D = 77
Therefore, the equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77
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Help thank you ! Elimination method
Answer:
x=0
y=7
Step-by-step explanation:
Divide 6x-4y=-28 by -2..... -3x+2y=14
3x+5y=35
-3x+2y=14
--------------
7y=49
y=7
6x-4*7=-28
x=0
Help me plz I’ll give brainliest and this also worth 25 points
Answer:
there r more students who way 60-69 kilograms and there r less students who way 90-100 kilograms
Step-by-step explanation:
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
\(= 1000 \times 3.5\% \times 3\)
= 105
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m/STM = 31x - 3
m/MTU = 20x + 5
m/STU = 155 degrees
Find m/MTU.
The Angle ∠MTU from the figure is 65°
What are Angles?The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.
Calculation:Given,
∠STM=31X-3;
∠MTU=20X+5;
∠STU=155°;
From the figure we can say that
∠STU= ∠STM+∠MTU;
⇒ 155=31x-3+20x+5;
⇒155=51x+2;
⇒x=3;
Now substitute x in ∠MTU;
⇒∠MTU=20(3)+5=65°
The Angle ∠MTU from the figure is 65°
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Could someone explain each one of these questions (apart from a) step by step? Thanks!
part c:
100-3t = 64
100-64 = 3t
36 = 3t
t = 12
part d:
1/2 (x-5) = 9
x-5 = 9 / (1/2)
x-5 = 18
x = 23
who ever gets it 5 star and brainlessiess
Answer:
I think it C if it not please don't report me
Solve for w-39=4w+7(w-3)Simplify your answer as much as possible
Given the equation:
-39 = 4w + 7(w-3)
Let's solve the equation for w.
To solve take the following steps.
• Step 1.
Apply distributive property
\(\begin{gathered} -39=4w+7(w)+7(-3) \\ \\ -39=4w+7w-21 \end{gathered}\)• Step 2.
Combine like terms
\(-39=11w-21\)• Step 3.
Add 21 to both sides
\(\begin{gathered} -39+21=11w-21+21 \\ \\ -18=11w \end{gathered}\)Step 4.
Divide both sides by 11
\(\begin{gathered} \frac{-18}{11}=\frac{11w}{11} \\ \\ -1.63=w \\ \\ w=-1.63 \end{gathered}\)ANSWER:
w = -1.63
Which test should he use to analyze the data?
a. single sample t-test
b. independent t- test
c. paired t-test
d. One way ANOVA
To provide an accurate answer, I would need more context about the data and the research question being asked. However, I can provide a brief explanation of each test option:
a. Single sample t-test: Used when comparing a sample mean to a known population mean.
b. Independent t-test: Used when comparing the means of two independent groups.
c. Paired t-test: Used when comparing the means of two related groups or repeated measures.
d. One-way ANOVA: Used when comparing the means of three or more independent groups.
Please provide more information about the data and research question so I can recommend the appropriate test to analyze the data.
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Solve the inequality.
−9<−1/5x
Solve the inequality.
−9<−1/5x
Multiplying a negative and a positive equals a negative: (-) × (+) = (-)
\( - 9 < - \frac{ 1}{5} x\)
Multiplying both side of the inequality by -5 and flip the inequality sign:
\(( - 5) \times ( - 9) = 45\)
\(45 > x\)
Now, swap the sides of the inequality and flip the inequality sign:
\(x < 45\)
a researcher conducts a study in which k = 4 and n = 22 in each group. what are the degrees of freedom for the one-way between-subjects anova?
The degrees of freedom for the one-way between-subjects ANOVA would be (k-1) = (4-1) = 3 for the between-group variability and (n-k) = (22-4) = 18 for the within-group variability, giving a total of (k-1)+(n-k) = 21 degrees of freedom.
A researcher conducts a study with k = 4 groups and n = 22 participants in each group. In a one-way between-subjects ANOVA, the degrees of freedom can be calculated using the following formulas:
1. Degrees of freedom between groups (df_between) = k - 1
2. Degrees of freedom within groups (df_within) = N - k, where N is the total number of participants.
First, let's calculate the total number of participants, N = k * n = 4 * 22 = 88.
Now, we can find the degrees of freedom:
1. df_ between = 4 - 1 = 3
2. df_ within = 88 - 4 = 84
It's important to note that degrees of freedom refer to the number of independent pieces of information that can be used to estimate a parameter, and they are important for determining the statistical significance of results and the level of freedom a researcher has in interpreting the data.
So, the degrees of freedom for the one-way between-subjects ANOVA are 3 (between groups) and 84 (within groups).
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The next number in the arithmetic sequence 10, 23, 36, ___ is:
Answer:
49
Step-by-step explanation:
10 to 23 is 13, and 23 to 36 is 13. so you just add 13 to 36 to get 49
3v(3v-2)-(3v-2)Help me factor this please. I know the answer, I want an explanation of how.
We have the following expression
\(3v(3v-2)-(3v-2)\)we have 2 terms, one of them is
\(3v(3v-2)\)and the other one is
\(-(3v-2)\)We can note that (3v-2) is repeated on both terms, so we can factorize (3v-2) in both terms, which gives
so this equivalent to:
therefore, the answer is:
\((3v-2)(3v-1)\)