a. The exit pressure is 19.76 lbf/in².
b. The ratio of the inlet area to the exit area is 3.125.
C. The exit area ratio (0.32) is less than the critical area ratio (1.89), the nozzle is converging-diverging in cross section.
To solve this problem, we need to apply the conservation equations for mass, momentum, and energy along with the isentropic relations.
a. To determine the exit pressure, we can use the isentropic relation for pressure ratio across a nozzle:
[tex]P_2/P_1 = (T_2/T_1)^{\frac{\gamma}{\gamma -1}}[/tex]
where [tex]P_1[/tex] and [tex]T_1[/tex] are the inlet pressure and temperature,
[tex]P_2[/tex] and [tex]T_2[/tex] are the exit pressure and temperature, and
γ is the specific heat ratio of air.
Using Table A-22E, we find that γ = 1.4 for air at 800°R.
Substituting the given values and solving for P2, we get:
[tex]P_2[/tex] = [tex]P_1 \times (T_2/T_1)^\frac{\gamma}{\gamma -1}[/tex] = [tex]45 \times (1500/480)^{(1.4/0.4)}[/tex]= 19.76 lbf/in²
b. To determine the ratio of the exit area to the inlet area, we can use the continuity equation:
[tex]A_1V_1 = A_2V_2[/tex]
where [tex]A_1[/tex] and [tex]A_2[/tex] are the inlet and exit areas, and
[tex]V_1[/tex] and [tex]V_2[/tex] are the inlet and exit velocities.
Substituting the given values, we get:
[tex]A_2/A_1 = V_1/V_2[/tex] = 480/1500 = 0.32
The ratio of the exit area to the inlet area is 0.32, or equivalently, the ratio of the inlet area to the exit area is 1/0.32 = 3.125.
c. To determine whether the nozzle is diverging only, converging only, or converging-diverging in cross section, we can compare the exit area ratio to the critical area ratio.
The critical area is the minimum area that allows the flow to reach sonic conditions, and it depends on the pressure and temperature of the flow.
For a converging-diverging nozzle, the exit area ratio is less than the critical area ratio, which is given by:
A* / [tex]A_1[/tex] = [tex](2/(\gamma+1))^{(\gamma+1)}/(2(\gamma-1)/(\gamma+1))^{(\gamma+1)/(\gamma-1)}[/tex]
where A* is the critical area,
[tex]A_1[/tex] is the inlet area, and
γ is the specific heat ratio.
Using the given values and γ = 1.4, we find that:
A* / [tex]A_1[/tex] = 1.89
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Question:-
Air enters a nozzle operating at steady state at 45 lbf/in.2, 800°R, with a velocity of 480 f/s, and expands isentropically to an exit velocity of 1500 ft/s. Using data from Table A-22E as needed, determine
a. the exit pressure, in lbf/in². 19.76
b. the ratio of the exit area to the inlet area. 0.577
c. whether the nozzle is diverging only, converging only, or converging-diverging in cross section. conv-div
write the third column of the matrix as a linear combination of the first two columns, if possible. (if not possible, enter impossible on both answer blanks.) 1 2 17 9 8 63 6 3 21 1 9 6 2 8 3
This is impossible because the third column does not depend on the first two columns.
The third column's values are linear combination of the first two columns. the third column of the matrix as a linear combination of the first two columns, This can be seen by the fact that the third column has values which don't fit the pattern of the first two columns. For example, the first value in the third column (21) is not equal to an any linear combination of the first two columns. Thus, it is impossible to write the third column as a linear combination of the first two columns.
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D
114°
A
в
56°
C
HURRRRRYYY PLEASEEEE
The calculated value of the angle x is 58 degrees
How to calculate the value of xfrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the sum of opposite external angles, we have the following equation
114 = 56 + x
When the like terms are evaluated, we have
x = 114 - 56
Evaluate
x = 58
Hence, the value of x is 58
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Which point has coordinates -4, -3)?
A J
B K
C N
D Q
Answer: K
Step-by-step explanation:
Answer:
Step-by-step explanation:
k
the yoko fund earns 11.2% during the year while the risk-free rate is 3.1%. the yoko fund has a beta of 1.20 and a standard deviation of 17.5%. the treynor ratio is closest to: a. 0.463 b. 0.640 c. 6.750 d. 9.333
For the Yoko Fund, the Treynor ratio is 6.0%, although none of the answer choices provided is a close approximation, we can choose option c. 6.750
The Treynor ratio measures the excess return earned by an investment per unit of systematic risk (i.e., beta). It is calculated as the difference between the return of the investment and the risk-free rate, divided by the investment's beta.
The formula for the Treynor ratio is:
Treynor Ratio = (Return of the Investment - Risk-Free Rate) / Beta
In this case, the return of the Yoko Fund is 11.2%, the risk-free rate is 3.1%, the beta is 1.20, and we are given the standard deviation of the Yoko Fund's returns, which is 17.5%.
Using the formula, we get:
Treynor Ratio = (11.2% - 3.1%) / 1.20
= 6.0%
Therefore, the Treynor ratio for the Yoko Fund is 6.0%.
None of the answer choices is exactly equal to 6.0%, but the closest one is (c) 6.750.
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Determine weather the series is arithmetic or geometric,then find the indicated sum
The series, based on the general terms, can be found to be arithmetic. The indicated sum is - 544.
How to determine if a series is arithmetic or geometric ?To determine if the series is arithmetic or geometric, we must first find the common difference (arithmetic) or common ratio (geometric).
Term 1 (p=1): 19 - 2(1) = 17
Term 2 (p=2): 19 - 2(2) = 15
Term 3 (p=3): 19 - 2(3) = 13
There is a common difference of -2 so this is arithmetic.
The formula for the sum of an arithmetic series is:
Sum = (n x (a1 + an)) / 2
The series is: ∑ (p = 1 to 34) (19 - 2p)
To find the last term, we plug in p = 34:
an = 19 - 2(34)
= 19 - 68
= -49
The sum is therefore:
Sum = (34 x (17 + (-49))) / 2
Sum = -544
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What is the area of the following composite figure? Round to the nearest whole.
Answer:
The answer to your problem is 53 in ^2
Hope it helps
PLS HELP WILL GIVE BRAINLIEST
Triangle FUN has vertices located at F (-1, -4), U (3, -5), and N (2, 6).
Part A: Find the length of UN. Show your work.
The length of the segment UN is 11.05 units.
How to find the length of the segment UN?For any pair of points (x₁, y₁) and (x₂, y₂), the distance between the two points is given by the formula:
distance = √( (x₂ - x₁)² + (y₂ - y₁)²)
Here we know that the points are:
U = (3, -5)
N = (2,6)
The distance between these two points is then:
distance = √( (3 - 2)² + (-5 - 6)²)
distance = √122 = 11.05
The length of the segment is 11.05 units.
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4cd - 5cd + 3c + 8d simplify
Answer:
-cd+3c+8d
Step-by-step explanation:
4cd - 5cd + 3c + 8d
Combine like terms
(4cd - 5cd) + 3c + 8d
-cd+3c+8d
Answer:
3c + 8d - cd
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ 4cd - 5cd + 3c + 8d
Let's simplify the expression,
→ 4cd - 5cd + 3c + 8d
→ 3c + 8d + 4cd - 5cd
→ (3c) + (8d) + (4cd - 5cd)
→ 3c + 8d + (-cd)
→ 3c + 8d - cd
Hence, answer is 3c + 8d - cd.
Help ASAP due today!!
The least common multiple (LCM) of two or more integers is the smallest positive integer that is a multiple of all of them. In other words, it is the smallest number that is divisible by each of the given numbers without leaving a remainder. [tex]3(5/8) + 2(3/8) = 6.[/tex]
What is the integer?To add the mixed numbers 5 3/8 and 3 2/8, we need to convert them to fractions with a common denominator. Since both have a denominator of 8, we can add the whole numbers to the fractions to get:
[tex]5 3/8 = 5 + 3/8 = 40/8 + 3/8 = 43/8[/tex]
[tex]3 2/8 = 3 + 2/8 = 24/8 + 2/8 = 26/8[/tex]
Now we can add these fractions:
[tex]5 3/8 + 3 2/8 = 43/8 + 26/8 = 69/8[/tex]
So the sum of [tex]5 3/8[/tex] and [tex]3 2/8[/tex] as a fraction is [tex]69/8[/tex] .
The LCM is often used when adding or subtracting fractions with different denominators, since we need to find a common denominator to perform the operation. To do this, we can find the LCM of the denominators and use it as the common denominator.
To write equivalent fractions with a common denominator, we need to find the least common multiple of the denominators, which in this case is 8.
For [tex]3(5/8)[/tex] :
[tex]3(8/8) + 5/8 = 24/8 + 5/8 = 29/8[/tex]
For [tex]2(3/8):[/tex]
[tex]2(8/8) + 3/8 = 16/8 + 3/8 = 19/8[/tex]
To add these fractions, we simply add their numerators:
[tex]3(5/8) + 2(3/8) = 29/8 + 19/8 = 48/8 = 6[/tex]
Therefore, [tex]3(5/8) + 2(3/8) = 6.[/tex]
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Examine the system of equations.
2x − 4y = 6,
x − 2y = 3
How many solutions does this system of equations have?
Answer:
infinitely many solutions
Step-by-step explanation:
When you put the equations in desmos, the lines are the same therefore it has infinitely many solutions.
Answer:
✔️ c) infinitely many
Step-by-step explanation:
I need help asap pls!!
Answer:
First, we need to calculate the daily interest rate on the credit card. We can do this by dividing the annual percentage rate (APR) by the number of days in a year:
Daily interest rate = APR / 365
Daily interest rate = 0.2445 / 365
Daily interest rate = 0.00067 or 0.067%
Next, we can calculate the interest that will accrue over the course of one month, which is approximately 30 days:
Interest = Balance * Daily interest rate * Number of days
Interest = $1,359 * 0.00067 * 30
Interest = $27.42
Adding the interest to the outstanding balance, we get:
Balance after one month = $1,359 + $27.42
Balance after one month = $1,386.42
Therefore, the balance on the credit card after one month will be approximately $1,386.42.
this is simple i dont need no words js the work pls and thankyou <33
Rewrite in simplest rational exponent form square root of x times the fourth root of x. Show each step of your process.
Unpacking the expression we have,
[tex](\sqrt{x})(\sqrt[4]{x})[/tex]
Its better to work with this in terms of exponents so we rewrite the expression as [tex]x^{\frac{1}{2}}*x^{\frac{1}{4}}[/tex]. (cause [tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]) This can be a little tricky when learning it for the first time.
Then by the exponent sum rule [tex]x^{\frac{1}{2}}*x^{\frac{1}{4}}=x^{\frac{1}{2}+\frac{1}{4}}=x^{\frac{3}{4}}[/tex] (more straightforward, you probably know this from class).
I assume this is what you mean by rational exponent form. But you could also write it as [tex]\sqrt[4]{x^3}[/tex].
kendrick lamar is incredibly story teller but i dont like his music like when he raps fast thats unpelasent
An American rapper, is known for his poetic, and complex lyrical style.
How Kendrick Lamar becomes a story teller?Kendrick Lamar is a highly talented storyteller, however, some people may not like his music when he raps quickly as it can be unpleasant.What are the aspects of Kendrick Lamar's music?
An American rapper, is known for his highly poetic, socially conscious, and complex lyrical style.
However, his musical talent has been highly praised by critics and audiences alike.
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a charger has a power rating of 12 w. if you charge 6 cents per kilowatt hour, how much do you make in 1 day
The earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.
Given, Power rating of charger = 12 W. Charge per kilowatt hour = 6 cents = 0.06/kWh.To calculate the earnings in 1 day, we need to calculate the power consumed by the charger in 1 day first.
P = Power rating of charger = 12 Wt = Time = 1 day = 24 hours. Energy consumed = Power x Time. E = P x t= 12 W x 24 hours= 288 Wh = 0.288 kWh. Therefore, energy consumed by the charger in 1 day = 0.288 kWh.
Now, we can calculate the earnings in 1 day as follows: Charge per unit = 0.06/kWh. Earnings = Energy consumed x Charge per unit. Earnings = 0.288 kWh x 0.06/kWh= 0.01728.
Therefore, the earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.
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Part D When the membrane potential of a neuron begins returning to normal, resting levels, the cell membrane experiences summation repolarization depolarization Ohyperpolarization rest Submit Request Answer Part E Saltatory conduction allows for faster and more efficient conduction because action potentials are confined to which part of a neuron? Cell body Dendrites Axon terminal Axon hillock Nodes of Ranvier Submit Request Answer
The action potential "jumps" from node to node, allowing it to travel faster and with less energy loss than if it had to propagate along the entire length of the axon.
Part D: When the membrane potential of a neuron begins returning to normal, resting levels, the cell membrane experiences hyperpolarization.
During hyperpolarization, the membrane potential becomes more negative than the resting potential, making it more difficult to trigger an action potential.
Part E: Saltatory conduction allows for faster and more efficient conduction because action potentials are confined to the Nodes of Ranvier.
The Nodes of Ranvier are small gaps in the myelin sheath that covers the axon of some neurons. Because the myelin sheath insulates the axon, action potentials can only occur at the nodes, where the membrane is exposed. This means that the action potential "jumps" from node to node, allowing it to travel faster and with less energy loss than if it had to propagate along the entire length of the axon.
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Jackie made a poster for the school advertising
the Science Olympiad. She included sample
statistics on the speed of the mousetrap cars
from the previous years. A. If one car raced 8 meters in 1. 5 seconds,
what was its speed?
b. How does this compare to the record time of
10 meters in 2. 32 seconds?
the speed of the car was 5.33 meters per second. Speed = 10 / 2.32 = 4.31 meters per second (rounded to two decimal places) .
a. To find the speed of the car, we use the formula
Speed = Distance / Time
If the car raced 8 meters in 1.5 seconds, we can substitute these values in the formula to get:
Speed = 8 / 1.5 = 5.33 meters per second (rounded to two decimal places)
Therefore, the speed of the car was 5.33 meters per second.
b. The record time of 10 meters in 2.32 seconds gives us a speed of:
Speed = 10 / 2.32 = 4.31 meters per second (rounded to two decimal places)
Comparing this to the speed of the car that raced 8 meters in 1.5 seconds, we see that the car that raced 8 meters was faster, with a speed of 5.33 meters per second compared to the record time of 4.31 meters per second. This suggests that the car that raced 8 meters was well-designed and well-built, and was able to travel a greater distance in a shorter amount of time.
It is important to note, however, that one data point is not enough to draw a firm conclusion about the superiority of one car over another. It is possible that the car that raced 8 meters had a lucky run, or that the car that set the record had a mechanical issue or was not driven to its full potential. To truly compare the performance of different cars, we would need to collect data from multiple trials and multiple cars, and analyze the data using statistical methods to determine which cars consistently perform better.
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Can you help me with this
Answer:c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
i do not understand please help asap
Step-by-step explanation:
Lets assume this is a right triangle.
If you use pythagorean theorem, lets assume the tower is the longest line on the triangle.
If this is true, lets say that 9^2 (distance from end of slide to base of tower) + x^2 (length of slide) = 23^2 (height of tower)
we get the length of the slide is 21.2 meters.
Find explicit formulas for sequences of the form a1, a2, a3, ... with the initial terms given
0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7
This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...
Notice that the sequence alternates between positive and negative terms and that the denominators of each term increase by 1 while the numerators increase by 1 or -1. To find the explicit formula, we can write it in terms of its general form:
a1 = 0
a2 = -1/2
a3 = 2/3
a4 = -3/4
a5 = 4/5
a6 = -5/6
a7 = 6/7
We can see that the numerator of each term is equal to its index number, n, if n is even and equal to -n if n is odd. The denominator of each term is equal to n+1 for all terms.
Using this observation, we can write the explicit formula for the sequence as:
an = (-1)^(n+1) * n / (n+1)
where (-1)^(n+1) is equal to -1 if n is odd and 1 if n is even. This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...
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Algebraic Inequalities
Help due today
Answer: i am certain that the answer is -6
assume that respondents aged 70 or older are only one-third as likely to be in an internet sample as their actual incidence in the population. using the propensity scoring method, their responses would be
The propensity scoring method is a statistical technique used to adjust for differences in the characteristics of groups being compared in a study. In this case, we want to adjust for the fact that respondents aged 70 or older are underrepresented in an internet sample.
To do this, we can assign a propensity score to each individual in the sample based on their likelihood of being in the sample, given their age. We can then use this score to weight their responses to account for the underrepresentation of older individuals.
In this case, we know that respondents aged 70 or older are only one-third as likely to be in an internet sample as their actual incidence in the population. This means that we can assign a propensity score of 3 to each individual aged 70 or older in the sample, and a propensity score of 1 to everyone else.
Using these propensity scores, we can weight the responses of each individual in the sample. Responses from individuals with a propensity score of 3 would be weighted by a factor of 3, while responses from individuals with a propensity score of 1 would be weighted by a factor of 1.
By adjusting for the underrepresentation of older individuals in this way, we can obtain more accurate estimates of the characteristics of the population being studied, and reduce the potential for bias in our analysis.
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Activity 2 Synthesis
1. Precious says you can estimate the area of a circle by calculating 32. What do you think
each part of her expression means?
2. Do you agree with Precious? Use your earlier work to help support your thinking.
Which lines are parallel? check all that apply. lines b, c, d, e, f are cut by transversal a. clockwise from top left, the angles formed by lines b and a are blank, 89.5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91.5 degrees; by lines d and a are blank, blank, 89.5 degrees, blank; by lines e and a are 88.5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90.5 degrees, blank. b is parallel to f b is parallel to d c is parallel to e c is parallel to d d is parallel to f e is parallel to f
The lines which are parallel are given below :
Line b is parallel to line f, line b is parallel to line d, line c is parallel to line e, line c is parallel to line d and line d is parallel to line f.
Line b is parallel to line f because they both have a pair of alternate angles that are congruent which is 89.5 degrees and 90.5 degrees.
Line b is parallel to line d because they both have a pair of alternate angles that are congruent at 89.5 degrees.
Line c is parallel to line e because they both have a pair of alternate angles that are congruent at 91.5 degrees.
Line c is parallel to line d because they both have a pair of alternate angles that are congruent: 89.5 degrees.
Line d is parallel to line f since they have corresponding angles of 89.5 degrees and 90.5 degrees, respectively
Therefore, the correct answer is :
Line b is parallel to line f, line b is parallel to line d, line c is parallel to line e, line c is parallel to line d and line d is parallel to line f.
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HELP ASAP!!!!!!!!!!!!
Which cannot be the angle measurements of triangle ABC?
Measure of angle A = 55 degrees, measure of angle B = 65 degrees, measure of angle C = 60 degrees
Measure of angle A = 60 degrees, measure of angle B = 60 degrees, measure of angle C = 60 degrees
Measure of angle A = 57 degrees, measure of angle B = 58 degrees, measure of angle C = 65 degrees
Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees
Answer:
A=61
B=57
C=61
Step-by-step explanation:
The sun of the three angles must give us 180 degrees. so the sum of these three angles is giving us 179 wrong degrees.
What is the value of x^0 assuming x ≠ 0?
The value of any number raised to the power of 0 is always 1, irrespective of the value of x, as long as x is not 0. So, x^0 = 1.
help me plsss
Which function is graphed here?
Of(x)=√x-2
Of(x)=√x+2
Of(x)=-3√x-2
Of(x) = -√√x+2
Answer:
I'm pretty sure it's C. isnnxixiab
In the figure, m∠1= (5x)°, m∠2= (4x + 10)° and, m∠3= (10x − 5)°. What is m∠3,
in degrees?
Answer: I think this is a triangle because there are 3 angles.
All triangles have the entire sum 180*
(5x) + (4x + 10) + (10x-5) = 180
x = 175/19
Answer - 1750/19 (Decimal: 92.105263)
Step-by-step explanation:
10 (175/19)
10/1 * 175/19
10 175
1 19
= 1750
19
what does the greek letter delta that is represented by a ∆ mean?
Answer:
“change” or “the change”
Step-by-step explanation:
Three identical small circles are drawn inside one large circle, as shown in the diagram.
The centres of the small circles lie on the diameter of the large circle.
Therefore, the radius r of each of the small circles multiplied by [tex](3sqrt(3)/2)[/tex] to get the length of the diameter AB of the big circle.
what is circle ?A circle is a geometric form made up of all points that are spaced apart by a predetermined amount, known as the radius, from a specific point known as the center. The circumference of a circle is determined by the formula C = 2r, where r denotes the radius and (pi) denotes a mathematical constant roughly equivalent to 3.14159. Numerous areas of mathematics, science, and daily living frequently involve circles. They have a number of crucial characteristics that make them helpful in a variety of applications.
given
The line section PQ is the following length:
PQ is equal to [tex]sqrt(3r2/4) = sqrt(3)/r.[/tex]
In a similar manner, we can determine how long the line section QR is:
OQ2 - OR2 = QR2 = r2/4 - r2 = QR2 = -3r2/4
Therefore, QR is a line that goes beyond the spot R rather than a line segment.
The length of the large circle's diameter AB is determined by adding the lengths of PQ, QR, and RP, each of which is equivalent to (sqrt(3)/2)r. As a result, we have:
[tex]AB = 3 * (sqrt(3)/2) (3sqrt(3)/2)r = r[/tex]
Therefore, the radius r of each of the small circles multiplied by [tex](3sqrt(3)/2)[/tex] to get the length of the diameter AB of the big circle.
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A rectangle has an area of 15 square yards. The width is 2 yards less than the length. What is the length, in yards, of the rectangle?
A: 2 yards
B: 3 yards
C: 5 yards
D: 15 yards
Answer:
The correct answer would be option (A).
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
length = x
Width=x-2
Area=lw
15=(x)(x-2)
15=x^2-2x
0=x^2-2x-15
Quadratic formula:
X=-15
X=5
the length is 5 because the length can’t be negative