Prompt neutron lifetime refers to the average time between the moment a neutron is produced in a fission reaction and the moment it causes another fission event. The prompt neutron lifetime of an infinite critical thermal reactor can be calculated by using the following equation:
τp = (βeff − 1)/λ (in seconds)
where βeff is the effective delayed neutron fraction, and λ is the decay constant of the neutron population.
1. βeff = βU235 + βD2O = 0.0065 + 0.00024 = 0.00674
τp = (βeff − 1)/λ = (0.00674 − 1)/0.08 = -12.825 s (which is negative, indicating an unstable reactor).
2. βeff = βU235 + βBe = 0.0065 + 0 = 0.0065
τp = (βeff − 1)/λ = (0.0065 − 1)/0.08 = -12.125 s (which is also negative)
3. none of these mixtures would produce a stable reactor.
The effective delayed neutron fraction βeff can be calculated as the sum of the delayed neutron fractions for all delayed neutron precursors:
βeff = Σjβj
Where βj is the delayed neutron fraction for the jth precursor, and Σj is the sum over all delayed neutron precursors. Now let's compute the prompt neutron lifetime for an infinite critical thermal reactor consisting of a homogeneous mixture of U235 and the following materials:
1. D20
The delayed neutron fraction βj for deuterium oxide (D2O) is 0.00024, and the decay constant λ for a thermal reactor is approximately 0.08 s-1.
Therefore,
βeff = βU235 + βD2O = 0.0065 + 0.00024 = 0.00674
τp = (βeff − 1)/λ = (0.00674 − 1)/0.08 = -12.825 s (which is negative, indicating an unstable reactor)
2. BeThe delayed neutron fraction βj for beryllium (Be) is negligible, so we can assume that βBe ≈ 0.
Therefore,
βeff = βU235 + βBe = 0.0065 + 0 = 0.0065
τp = (βeff − 1)/λ = (0.0065 − 1)/0.08 = -12.125 s (which is also negative)
3. Graphite
The delayed neutron fraction βj for graphite is approximately 0.0006, so
βeff = βU235 + βgraphite = 0.0065 + 0.0006 = 0.0071τp = (βeff − 1)/λ = (0.0071 − 1)/0.08 = -10.125 s (which is still negative)
Therefore, none of these mixtures would produce a stable reactor.
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Jamie has 60 counters he gives 1/3 of his counters to Sam and 1/4 to sally how many counters does Jamie have left ?
Answer:
25
Step-by-step explanation:
60·\(\frac{1}{3}\)= 20
60·\(\frac{1}{4\\}\)= 15
60- 20+ 15= 60-35 = 25
Complete the synthetic division problem below. -31 2 - 2 3 What is the quotient in polynomial form?
Answer:
the answer is // x^2 - x +1 (apex)
Step-by-step explanation:
Patrick won a sweepstakes and will receive money each week for 52 weeks. The first week he will receive $10. Every week after that he will receive 10% more than he got the previous week. How much money did he receive over the 52 weeks?
Patrick received a total of approximately $6,785.97 over the course of 52 weeks.
To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.
To find the sum of a geometric sequence, we can use the formula:
Sn = a * (r^n - 1) / (r - 1),
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).
Plugging these values into the formula, we can calculate the sum of the sequence:
S52 = 10 * (1.1^52 - 1) / (1.1 - 1)
After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.
As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.
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Solve: -4 < -2x < 10
Explanation:
The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"
-4 < -2x < 10
-4/(-2) > x > 10/(-2) .... inequality signs flip
2 > x > -5
-5 < x < 2
This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.
The NWBC found that 16.5% of women-owned businesses did not provide any employee benefits. What sample size could be 99% confident that the estimated (sample) proportion is within 6 percentage points of the true population proportion?
A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.
To calculate the required sample size, we can use the formula:
n = (\(z^2\) * p * q) /\(e^2\)
where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).
Substituting the values, we get:
n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)
Solving for n, we get:
n ≈ 329
Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.
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Jared is trying to save up to buy a car. He has already saved
$400. He makes $20 an hour (h) at his job. Jared needs to
have $1200 or more in order to buy the car he wants.
Write an inequality to represent the number of hours Jared
will have to work in order to save enough money to buy the
car.
Select one:
O 20h + 1200 ≤ 400
O 1200h + 400 > 20
O 400h+20 > 1200
O 20h-400 ≥ 1200
O 20h + 400 > 1200
O 400h+20 > 1200
Answer:
20h+400>=1200
Step-by-step explanation:
400 is the money Jared already has
20 is what he earns per hour
h is how many hours he works
1200 is the total he needs to buy the car
Answer:
the answer is 20h+400>1200
I neeeed the answer please!!!
Why do scientists consider RNA the best candidate for the first life-form? Question 13 options: RNA is capable of self-replication and catalysis. RNA has been created in the lab. RNA carries more information than other molecules. RNA is a simple structure.
RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.
An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.
This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.
To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.
The correct option is the first one due to following reasons:
RNA is capable of self-replication and catalysis. RNA is a nucleic acid composed of nucleotides that are linked through a sugar-phosphate backbone. It can serve as a template for the production of complementary strands, making it capable of self-replication. Furthermore, RNA molecules can act as catalysts, facilitating chemical reactions in the absence of enzymes.RNA is more versatile than other molecules because it is able to store genetic information and catalyze reactions. In the lab, RNA has been created to catalyze reactions and replicate, providing evidence of its capacity for self-replication and catalysis.As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.
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What does scaling do to standard deviation?
Scaling a dataset by a constant value changes the standard deviation proportionally by the same constant value.
Scaling (multiplying or dividing) a set of data by a constant value changes the standard deviation of the data.
If you multiply every value in a dataset by a constant value, the standard deviation will also be multiplied by the same constant. For example, if you have a set of data with a standard deviation of 2 and you multiply every value by 3, the new standard deviation will be 6.
On the other hand, if you divide every value in a dataset by a constant value, the standard deviation will also be divided by the same constant. For example, if you have a set of data with a standard deviation of 6 and you divide every value by 3, the new standard deviation will be 2.
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1) x2 + 5x + 4 = 0
a =
b=
C =
vb2 - 4ac =
-
Answer:
9
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) then the discriminant is
Δ = b² - 4ac
x² + 5x + 4 = 0 ← is in standard form
with a = 1, b = 5 , c = 4 , then
b² - 4ac = 5² - (4 × 1 × 4) = 25 - 16 = 9
Leo reads 14 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page?
Answer:
1:28 | 1:1/28
Step-by-step explanation:
We can show the first two numbers as a ratio:
14:1/2
But we want that second number to be 1 so we can multiply by 1:
28:1 <------ Pages per hour
But now we need the left to be 1, so we divide by 28:
1/28:1
Then flip:
1:1/28
What is the coefficient in this expression 2 + m/4
how many times larger is 1.9 × 10^-8 is than 4.2 × 10^-13
please help
Answer:
hope this helps!
Step-by-step explanation:
You have to divide:
1.9x10^-8 ÷ (4.2x10^-13)
= appr .45 x 10^5
= .45 x 100000
= appr 45,000 times as large
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credit: mathhelper
Anyone who helps can get brainiest Idc. So Molly's Hair was 20 inches Long. Three years later It was 35 inches long! (THIS IS IMPORTANT) What was the PERCENT increase, to the NEAREST HUNDREDTH? PLEASE HELP QUICK
Answer:
Try 50% (Yes this is rounded to nearest hundredth)
Answer:75% increase
Step-by-step explanation:
The percentage increase is found by dividing the increase by the starting number, then multiplying that result by 100%.
Percent Change = (Increase ÷ First Value) x 100%
Note: the percent increase measures FROM the first value. An increase from 50 of 25 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). If that increase were looked at the other way around, it would be a different percentage change (75 decreases by 25 to 50 is a decrease of 33.3%).
ILL MARK U BRAINLIEST IF U EXPLAIN!!
Answer:
93
Step-by-step explanation:
the total of all those are 150 so if you multiply it by three you get 450
so multiply pizza by three too
to get 93
Answer:
93 students
Step-by-step explanation:
You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.
Therefore, 93 students would say pizza is there favorite food.
Hope this helps :)
• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP
Answer:
i think ..................
Step-by-step explanation:
society idsbwj ja
steve is standing on a porch of a shore house in malibu. the elevatioin of the porch is about 138 feet steve's eye level is 5 feet above the porch floor. if steve can see a band of surfers on the water at an angle of depression approximately 29 degrees how far are the surfers from his eyes?
geometry trig unit.
The distance is 295 feet from the surfers from his eyes.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
According to the given question, we have attached a figure which represents the given situation.
Let the distance would be x from the surfers from his eyes
As per the figure, using the sine ratio to find x:
sin 29° = perpendicular/hypotenuse
Substitute the known values and solve for x:
sin 29° = 143/x
0.4848 = 143/x
x = 294.96
x ≈ 295 feet
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what is the answer to this equation 3 + 3/2x + 4 = 4x - 5/2x
Answer:
No solution
Step-by-step explanation:
When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.
By the way, can you follow me on Brainly?
Thanks!
Answer:
x= \(\frac{7 (+-) \sqrt{113} }{8}\)
Step-by-step explanation:
The ratio of boys to girls entering a basketball competition was 15 to 16. If there were a total of 93 total participants by the end of the day, how many boys were there in the competition?
Answer:
the number of boys in the competition is 45 boys
Step-by-step explanation:
The computation of the number of boys in the competition is as follows:
Given that
Ratio of boys to girls is 15:16
And, the total participants is 93
So, the number of boys is
= Total participants × boys ratio ÷ total ratio
= 93 × 15 ÷ (15 + 16)
= 93 × 15 ÷ 31
= 45 boys
hence, the number of boys in the competition is 45 boys
A musician purchases a pair of cube-shaped speakers that are 9 inches across. If the face of the speaker takes up 16 of the total volume of the speaker, how much volume is left in both speaker cabinets
The volume is left in both speaker cabinets is 1215 cubic inches.
What is a cube?A Cube is a three-dimensional solid shape with six square faces, eight vertices, and twelve edges. It is also described as a regular hexahedron.
Some properties of the cube are-
It has a square form to all of its faces.All of the faces and sides are the same size.The cube's plane angles are right angles.Every one of the faces comes into contact with the remaining four faces.Each vertices connects to one of the three faces & three edges.The edges that are opposite one another are parallel.Now, according to the question;
The side of the cube is given as 9 inches.
Then the volume of the cube will become;
Volume = side³
Volume = 9³ = 729.
A Cube is a three-dimensional solid figure with six square sides. If the face takes up 1/6 of this, then 5/6 is left over for cabinet .
Thus, 5/6×729 = 607.5 cubic inches for just a single speaker, multiplied by two to reach the total of 1215 cubic inches.
Therefore, the volume which is left in both speaker cabinets 1215 cubic inches.
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Help is in 1 minute
!!!!!!!!!!!!!!!!!!!!!!!!!!
Henry works at a warehouse where he earns $23.56 per hour. How much money will Henry earn after working for 37 hours and 42 minutes
Answer:
$888.21
Step-by-step explanation:
We'll break this problem into two chunks.
First, find the number of dollars Henry gets after working for 37 hours. Since he gets paid $23.56 per hour, all you do is multiply how many hours he's worked (37) by the rate he gets paid (23.56) which gets you $871.72.
Second, adding 42 minutes onto the 37 hours. Since there are 60 minutes in one hour, all you have to do is divide 42 minutes by 60 minutes to get how much of 42 minutes is 1 hour, which is 0.7. Multiply 0.7 by 23.56 (the rate he gets paid per hour) and you have $16.49.
Adding the two sums gets you 888.21 dollars in total.
can someone help me please
Answer:
mark me as brilliant ~_~Step-by-step explanation:
Answer:
it is arithmetic sequence ; 3
as the terms are increasing with + 3
Step-by-step explanation:
Find the equation of the line that is perpendicular to the line 3z-y=-5 and passes through the point (7, -2)
Show work for the calculations without graphing, and choose the answer from below.
a.-x+3y=-1
b.x+3y=1
c.x-3y=-1
d.3x+y=3
To find the equation of the line that is perpendicular to the line 3z - y = -5 and passes through the point (7, -2), we need to determine the slope of the given line and then find the negative reciprocal to get the slope of the perpendicular line. Using the point-slope form, we can then find the equation of the perpendicular line.
The given line 3z - y = -5 can be rewritten in slope-intercept form as y = 3z + 5. The slope of this line is 3. The slope of a line perpendicular to it will be the negative reciprocal of 3, which is -1/3.
Using the point-slope form with the point (7, -2), we have:
y - y₁ = m(x - x₁),
where (x₁, y₁) is the given point and m is the slope of the line.
Substituting the values, we get:
y - (-2) = (-1/3)(x - 7),
y + 2 = (-1/3)(x - 7).
To simplify and bring it to standard form, we can multiply both sides by 3:
3y + 6 = -x + 7,
x + 3y = 1.
Therefore, the equation of the line perpendicular to 3z - y = -5 and passing through the point (7, -2) is x + 3y = 1. Thus, option (b) is the correct answer.
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write a two-step equation that can be solved using the addition property of equality and the division property of equality.
Answer:
8x-14=26
Step-by-step explanation:
To solve this equation you first have to add 14 to both sides to cancel the -14 from the left side. Then you have to divide both sides by 8 to cancel out the 8 in front of the x and to get x alone. Then you have your answer. The answer to 8x-14=26 is x=5.
Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Which table represents a linear function?
Answer:
THE LAST TABLE HOPE THIS HELPS:)
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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idenify the scale factor length pf room:108 in. length of room on scale drawing:12 in. the scale factor is
Answer:
9Step-by-step explanation:
108 : 12 = 9#Let'sLearn
part 1 let w be the set of all vectors of the form shown on the right, where b and c are arbitrary. find vectors u and v such that w=span{u, v}. why does this show that w is a subspace of ℝ3?
The vectors u and v such that w = span{u, v} are u = [1, 0, 0] and v = [0, 1, 0], respectively.
To find vectors u and v such that w = span{u, v}, we need to express the vectors in w in terms of linear combinations of u and v.
Let's consider the vectors in w. We can write a generic vector in w as follows:
w = b × u + c × v
where b and c are arbitrary scalars.
Now, let's choose u = [1, 0, 0] and v = [0, 1, 0].
Substituting these values into the equation for w, we have:
w = b × [1, 0, 0] + c × [0, 1, 0]
= [b, 0, 0] + [0, c, 0]
= [b, c, 0]
So, any vector in w can be expressed as a linear combination of u and v. Therefore, w = span{u, v}.
This shows that w is a subspace of \(R^3\) because it can be spanned by a set of two linearly independent vectors (u and v).
A subspace is a vector space that contains the zero vector, is closed under addition and scalar multiplication, and is closed under linear combinations.
In this case, since w can be expressed as a linear combination of u and v, it satisfies the conditions for being a subspace.
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