Answer:
C
Step-by-step explanation:
The formula for the volume of a cylinder is \(\pi r^2 h\), since you are multiplying the area of the base (a circle) by the height of the cylinder to find the volume. Therefore, the volume of this cylinder is:
\(\pi r^2 h= \\\\3.14 \cdot 8^2 \cdot 15=\\\\3.14 \cdot 960=\\\\3014.4\)
Hope this helps!
Answer:
\(3014.4ft^3\)
even though this is not the most precise answer, ths is the answer you will be looking for
Step-by-step explanation:
To find the volume of a cylinder you use the formula \(V=\pi r^2h\\=\pi *8^2*15\\=3015.93ft^3\)
You have to draw two (infinite) lines parallel to the x
-axis, three (infinite) lines parallel to the y
-axis, and four (infinite) lines parallel to the line x=y
What is the smallest possible total number of crossing points among the nine lines you draw?
Answer:
ok check the attachment.
Step-by-step explanation:
follow me and thanks give me and BRAINLIEST also
Liam ate 1/3 of 3/4 of a pizza. How much pizza did Liam eat?
Answer:
Liam ate 5/12 the pizza
Step-by-step explanation:
Answer:
Liam would have eaten 5/12 of the pizza.
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Math school please need help
Answer:
r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29
So the equation of this circle is
(x - 4)² + (y - 4)² = 29
If you take the opposite of the product of 8 and -2, will the answer be less than -5, between -5 and 5 and 10, or greater than 10?
Answer: Greater than 10.
Use Green's Theorem to evaluate the ∫C3x2 dx+xy dy∫C3x2 dx+xy dy, where CC is the triangle curve consisting of the line segment from (0, 0)(0, 0) to (1, 0)(1, 0), from (1, 0)(1, 0) to (0, 1)(0, 1) and from (0, 1)(0, 1) to (0, 0)(0, 0).
AS per the Green's theorem, the value of the triangle curve consisting of the line segment from (0, 0) to (1, 0) is 3.
Green's theorem:
Green's theorem states that "a line integral around a simple closed curve C to a double integral over the plane region D bounded by C."
Given,
Here we have the derivative
∫ₓ³ x² dx + xy dy
Now, we have to use the Green's theorem, to find the value of the the triangle curve consisting of the line segment from (0, 0) to (1, 0).
In order to find the value of the given interval we have to solve the given derivative,
When we solve the given derivative we get the resulting equation as,
=> ∫ₓ³ x² dx + xy dy
=> [2x + y]
Now we have to apply the interval, then we get,
=> [2(1) + 1] - [2(0) + 0]
=> 3 - 0
=> 3
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Can you please solve this?!?
\(\bold{\huge{\blue{\underline{ Solution }}}}\)
Given :-Here, We have,
\(\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}\)To Prove :-We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cdLet's Begin :-\(\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}\)
Let \(\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}{\sf{ = k}} \)Therefore,From above, We can conclude that,
a = bk, b = ck, c = dk
a = dk³ , b = dk² , c = dk
By solving RHS :-
\(\sf{√(a - b - c)(b-c-d) }\)
\(\sf{√(dk³ - dk² - dk) (dk² - dk - d) }\)
\(\sf{√d(k³- k² - k) d(k² - k - 1)}\)
\(\sf{d√(k³- k² - k) d(k² - k - 1)}\)
\(\sf{d√k(k²- k - 1)(k² - k - 1)}\)
\(\sf{d(k²- k - 1)√k ...eq(1)}\)
By solving LHS :-
\(\sf{√ab - √bc - √cd}\)
\(\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}\)
\(\sf{√d²k^5 - √ d²k³ - √d²k}\)
\(\sf{dk²√k - dk√k - d√k}\)
\(\sf{(dk² - dk - d)√k}\)
\(\sf{d(k²- k - 1)√k...eq(2)}\)
From eq(1) and eq(2)
\(\bold{\red{ LHS = RHS }}\)
That is,
\(\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}\)
Hence proved .Yes, the RHS and the LHS are equal/
Calculations and Parameters:Given:
\(a/b= b/c = c/d\)
We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd
Hence, after we expand the brackets and evaluate, we see that:
a = bk, b = ck, c = dka = dk³ , b = dk² , c = dkAfter the evaluation of the RHS and LHS, we can see that
RHS= LHS .
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Which best describes how to get from the origin to the point (–6, 9)? A. Move 6 units down, then 9 units to the right. B. Move 6 units to the left, then 9 units up. C. Move 6 units to the left, then 9 units down. D. Move 6 units down, then 9 units to the left.
what is 672x787=___?
Answer:
528864
Step-by-step explanation:
Please help me with the questions please ASAP
Answer:
x = 39
Step-by-step explanation:
In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:
AE = 12, EB = x - 3
AD = 6, DC = 18
Now, you need to find the scale factor by dividing 18 by 6:
18 ÷ 6 = 3
So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:
12 × 3 = x - 3 (given)
36 = x - 3 (simplify)
x = 39 (add 3 to both sides)
So x = 39.
simplify the expression on: 4x^2 × 3x^4 / 6x^3
There are 8 billion people on earth, and they can't all be tested for the dreaded MFR (Martian Foot Rot) disease. Instead, a random sample of 100 people are tested. 11 have the disease.
You have no budget to continue testing.
You have no option but to state that your best estimate for the prevalence of MFR is 11 out of 100. P(MFR) = 0.11
But what is the uncertainty on that estimate? What would you estimate the standard deviation on that estimate?
Group of answer choices
A) sigma = 0.01
B) sigma = 0.05
C) sigma = 0.03
D) sigma = 0.07
The answer is , the estimated standard deviation of the proportion is 0.03, and the answer is (C) sigma = 0.03.
What is Standard deviation?Standard deviation is measure of amount of variability or dispersion in set of data values. It tells you how much individual data points differ from mean (average) of the data set.
The prevalence of MFR in the sample is 11/100 = 0.11. We can estimate the standard deviation of this proportion using the formula:
sigma = sqrt(p * (1-p) / n)
where p is the estimated proportion (0.11), and n is the sample size (100).
Plugging in the values, we get:
sigma = sqrt(0.11 * 0.89 / 100) = 0.03
Therefore, the estimated standard deviation of the proportion is 0.03, and the answer is (C) sigma = 0.03.
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What is the solution to the system of equations y =- 3x 2 5x 2y?
The solution to the system of equations y =- 3x 2 5x 2y after calculations is found to be -19 and -59.
The given equations are ,
y = -3x - 2 and
5x + 2y = 15
Putting the value of y from equation 1 to equation 2 we get,
5x + 2(-3x - 2) = 15
5x - 6x - 4 = 15
-x - 4 = 15
-x = 15 + 4
x = -19
Now on putting the value of x in equation we get,
y = 3(-19) - 2
= -57 - 2
y = -59
Therefore, the required solution of the system of the equations is (-19, -59).
The equations given in the question are liner equation which means that they only have the power of one. We use the method of substitution to solve them and to get the required answer.
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11. Benito and Tyler are painting opposite sides of the same fence that is 150 feet long. Tyler has already painted 19.5
feet of his side of the fence when
Benito starts painting. Tyler paints at a rate of 11 fumin, and Benito paints at a rate of 15 ft/min
a. About how long will it take for the two sides of the fence to have an equal number of feet painted
b. The painter who finishes first gets to rest while the other painter finishes. About how long will the painter who
finishes first get to rest?
Answer:
(a) 4.875 minutes
(b) 1.86 minutes
Step-by-step explanation:
The length of fence = 150 feet.
Rate of painting by Tyler = 11ft/min
Rate of painting by Benito = 15ft/min
(a) Let after time t minutes both have painted equal number of feet.
As Taylor has already painted 19.5 feet. So,
\(15t=19.5+11t\)
\(\Rightarrow 4t=19.5\)
\(\Rightarrow t=\frac{19.5}{4}\)
\(\Rightarrow t=4.875\) minutes.
(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.
So. time taken by Tylor to finish the painting
\(=\frac{130.5}{11}=11.86\) minutes.
Time taken by Benito to finish the painting
\(=\frac{150}{15}=10\) minutes
Here, tome taken by Benito is less, so Benoto finishes first.
Benoto will get the time to rest for 11.86-10=1.86 minutes.
The continuous-time LTI system has an input signal x(t) and impulse response h(t) given as x() = −() + ( − 4) and ℎ() = −(+1)( + 1).
i. Sketch the signals x(t) and h(t).
ii. Using convolution integral, determine and sketch the output signal y(t).
(i)The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. (ii)Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.
i. To sketch the signals x(t) and h(t), we can analyze their mathematical expressions. The input signal x(t) is a linear function with negative slope from t = 0 to t = 4, and it is zero for t > 4. The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. We can plot the graphs of x(t) and h(t) based on these characteristics.
ii. To determine the output signal y(t), we can use the convolution integral, which is given by the expression:
y(t) = ∫[x(τ)h(t-τ)] dτ
In this case, we substitute the expressions for x(t) and h(t) into the convolution integral. By performing the convolution integral calculation, we obtain the expression for y(t) as a function of t.
To sketch the output signal y(t), we can plot the graph of y(t) based on the obtained expression. The shape of the output signal will depend on the specific values of t and the coefficients in the expressions for x(t) and h(t).
Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.
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24 I point. Afyan Company p. S24,000 annialh of an annuify for 3 kwwas at 1255 is \( 2.40183 \), the profitability index is. \( 1.96 \) 1.04 \( 0.28 \) Qi96 \( 0.04 \)
The profitability index for Aryan Company's new machine investment is 0.96.
The profitability index is a ratio used to measure the profitability of an investment by comparing the present value of future cash flows to the initial investment cost. It is calculated by dividing the present value of future cash flows by the initial investment cost.
In this case, the present value of the future cash flows can be calculated by multiplying the expected cash flow of $24,000 per year by the present value of an annuity for 3 periods at 12%, which is given as 2.40183. Therefore, the present value of future cash flows is $57,644.32.
The initial investment cost is $60,000.
To calculate the profitability index, we divide the present value of future cash flows by the initial investment cost: $57,644.32 / $60,000 = 0.96074. Rounded to one decimal place, the profitability index is 0.96.
The profitability index indicates that the present value of the expected future cash flows is approximately 96% of the initial investment cost. Generally, a profitability index greater than 1 indicates a favorable investment, while a value less than 1 suggests an unfavorable investment. In this case, the profitability index of 0.96 suggests that the investment is not expected to be highly profitable.
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The complete question is :
Aryan Company p o buy a new machine for $60.000 that will have an estimated useful site of 3 years and no savage value. The expected cash tom $24,000 annually Company has a cost of capital of 12% Given that the present value of $1 after 3 periods at 12% 071172 and the present valu of an annuity for 3ds at 12% is 2.40183, the profitability index is
1.96
1.04
0.28
0.96
0.04
Does anyone know how to solve this?
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
As of June 2017, 1 US dollar is equivalent to
about 133 Canadian dollars. If Tyler has
30.59 Canadian dollars, how many US dollars
can he exchange this amount for?
Suppose that Y and X have a joint normal distribution with mean (μ y
,μ x
) T
and covariance matrix Σ yx
=( σ y
2
σ yx
σ yx
σ x
2
). (a) Find the conditional expectation E[Y∣X=x] (b) Find the conditional variance Var(Y∣X=x) (c) Write the expression for the conditional pdf for Y given X=x
The conditional expectation E[Y|X=x] is calculated by adjusting the mean of Y based on the specific value of X, the conditional variance Var(Y|X=x) is obtained by subtracting the contribution of X from the overall variance of Y.
(a) The conditional expectation E[Y|X=x] is the expected value of Y given a specific value of X, which can be calculated using the formula E[Y|X=x] = μy + (σyx/σx^2)(x - μx).
(b) The conditional variance Var(Y|X=x) is the variance of Y given a specific value of X, and it can be calculated using the formula Var(Y|X=x) = σy^2 - (σyx^2/σx^2).
(c) The conditional pdf for Y given X=x can be written using the joint normal distribution properties. Assuming Y and X are jointly normally distributed, the conditional distribution of Y given X=x is also normally distributed. The conditional pdf can be expressed as f(Y|X=x) = (1/√(2πVar(Y|X=x))) * exp(-(Y - E[Y|X=x])^2 / (2Var(Y|X=x))).
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Please help me with this round down question
Answer:
The answer to your question is, 1.39!
Answer:
1.39 is your answer of the question
How do you know the that two triangles are similar?
Answer:
Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar
Step-by-step explanation:
Answer: they look similar
Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)
Any help with this ???
Answer:
a) 2 new printers
b) 11 min
Step-by-step explanation:
Given:
5 old printers take 30 min to produce a batch of comic books
4 new printers take 18 min to produce a batch of comic books
.
a) First, we need to find how long does one old and new printer take to produce a batch of comic books:
.
Since 5 old printers take 30 min to do the job, one printer would take 5 times more than this (5 printers work together and they do the job faster than one, that's why we have to multiply):
.
1 old printer does the job in:
5 × 30 = 150 min
1 new printer does the job in:
4 × 18 = 72 min
.
Since one old printer does the job in 150 min, 6 old printers would do this job 6 times faster (that's why we divide):
6 old printers would take:
150 / 6 = 25 min
2 new printers would take:
72 / 2 = 36 min
.
25 < 36
That means, 2 new printers would do this job faster
.
b) In order to find how much less time would this take, we have to subtract:
.
36 - 25 = 11 min
You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $9. 45. For ulo, l le interest rate is 3. 6% for Account A and 2. 4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer
The principal for Account A is $150, and we do not have enough information to find the principal for Account B. Account A earned the most interest the first month because it has a higher monthly interest rate.
About interest ratesThe principal for Account A can be found using the formula for simple interest:
I = Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Rearranging the formula to solve for P, we get P = I / (rt).
For Account A, the interest is $9.45, the interest rate is 3.6%, or 0.036, and the time is 21 months, or 1.75 years.
Plugging these values into the formula, we get:
P = $9.45 / (0.036 × 1.75) = $150
So the principal for Account A is $150.
For Account B, we do not have enough information to find the principal. We know the interest rate, but we do not know the interest or the time.
To determine which account earned the most interest the first month, we can compare the monthly interest rates.
The monthly interest rate for Account A is 3.6% / 12 = 0.3%, and the monthly interest rate for Account B is 2.4% / 12 = 0.2%.
Since the monthly interest rate for Account A is higher, it earned the most interest the first month.
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A linear function passes through the points (-3, 7) and (2, -3). Part A: What is the slope of the linear function that passes through these points. Part B: What is the function rule of the linear function that passes through these points. Part C: Where does the linear function intersect the x-axis and y-axis?
A) The slope of the line is 2.
B) the linear equation is y = 2x - 7
C) y-intercept = -7
x-intercept = 3.5
How to find the linear equation?A general linear equation can be written as:
y = m*x + b
Where m is the slope.
If the line passes through two points (x₁, y₁)and (x₂, y₂), then the slope is:
m = (y₂ - y₁)/(x₂ - x₁)
In this case these points are (-3, 7) and (2, -3), then the slope is:
m = (-3 - 7)/(2 + 3) = 2
Then the line is something like:
y = 2x + b
To find the value of b we can replace the values of the point (2, -3), we will get:
-3 = 2*2 + b
-3 - 4 = b
-7 = b
y = 2*x - 7
C) the y-intercept is the value of y when x = 0.
y = 2*0 - 7
y = -7
The x-intercept is the value of x when y = 0.
0 = 2*x -7
7 = 2x
7/2 = x
3.5 = x
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Solve the inequalities. State whether the inequalities have no solutions or real solutions.7p - 11p + 3 > 3 - 4p
Given,
7p-11p+3>3-4p
-4p+3>3-4p
-4p>-4p
which is absured.
So there is no solution of the inequality.
NEED HELP ASAP. The table gives the number y (in millions) of sport utility vehicles
that were produced in the United States x years after 1998.
Approximate the best-fitting line for the data.
x
0
1
2
3
4
7.
12
17
19
22
-by-step explanation:
the answer is six your welcome
The running track behind the local gym is 3/ 4
mile long. The track and field team ran 2 2/3
laps around the track. How many miles did the team run? PLZZ help its timed
Answer:
2 Miles.
Step-by-step explanation:
\(2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\\).
Your final answer is 2 miles.
please help me with my math on my profile it's due in 2hrs
With only two hours left, it's important to stay focused and work efficiently. Take breaks as needed to avoid burnout, but don't procrastinate or get distracted by other tasks.
Hi there! I'd be happy to help you with your math on your profile. Could you please provide me with more specific information about the assignment? What topics does it cover and what kind of problems do you need help with? It's difficult to provide a comprehensive answer without more information.
In the meantime, I can offer some general tips for tackling math problems. First, read the problem carefully and make sure you understand what it's asking. Look for key words or phrases that indicate what type of problem it is. Next, identify the relevant formulas or concepts that you'll need to solve the problem. If you're unsure, check your textbook or notes for guidance.
As you work through the problem, be sure to show your work and label each step clearly. This will help you avoid mistakes and make it easier to check your work later. If you get stuck, don't be afraid to ask for help from a teacher or tutor.
Good luck, and let me know if you have any more specific questions or concerns!
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Helpppppp meeeee .......
Answer:
.......
B is the answer ......
A loss under a liability policy is modeled by an exponential distribution. The insurance company will cover the amount of that loss in excess of a deductible of 2000. The probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50. Calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible.
The probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is 0.2355.
We are given that the loss under a liability policy is modeled by an exponential distribution. This means that the amount of the loss that exceeds the deductible follows an exponential distribution.
The insurance company will cover the amount of the loss in excess of a deductible of 2000. So, we are interested in calculating probabilities related to the reimbursement amount (Y) given that the loss exceeds the deductible.
We are given that the probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50. Mathematically, this can be expressed as:
P(Y ≤ 6000 | X > 0) = 0.50
where X is the amount of the loss that exceeds the deductible.
Using the memoryless property of the exponential distribution, we can rewrite the probability as:
P(X ≤ 4000) = 0.50
This is because P(Y ≤ 6000 | X > 0) is equivalent to P(X ≤ 4000) since the deductible is 2000.
From the given probability, we can determine the parameter λ of the exponential distribution. We have:
P(X > 2000) = e^(-λ*2000) = 0.5
Solving for λ, we find:
λ = ln(0.5)/(-2000) ≈ 0.00034657
Now, we want to calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible:
P(3000 < Y ≤ 9000 | X > 0)
Using the memoryless property, we can rewrite this as:
P(X > 1000) - P(X > 7000)
Substituting the value of λ we found earlier, we have:
P(3000 < Y ≤ 9000 | X > 0) = e^(-λ1000) - e^(-λ7000)
Plugging in the value of λ, we can calculate the probability:
P(3000 < Y ≤ 9000 | X > 0) ≈ e^(-0.34657) - e^(-2.426) ≈ 0.3226 - 0.0871 ≈ 0.2355
Therefore, the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is approximately 0.2355.
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A person is playing a game where you can toss up a fair coin 9 times. The winner o the game will be the one that gets three heads before getting a tail. What will be the chances of winning the game? Show all the process and method to find the answer. Remember you need to have 3 consecutive heads. Explain how order matters to determine your answer.
The chances of winning the game by getting three consecutive heads before getting a tail can be determined by calculating the probability using the binomial distribution. The probability of winning the game is approximately 35.16%.
To find the probability of winning the game, we can break down the problem into smaller steps. In each coin toss, there are two possible outcomes: heads (H) or tails (T). We need to calculate the probability of getting three consecutive heads before getting a tail.
First, let's consider the possible outcomes in three consecutive tosses. There are 2^3 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Out of these eight outcomes, only one outcome (HHH) represents a win, where we get three consecutive heads before getting a tail. Therefore, the probability of winning in three consecutive tosses is 1/8.
To win the game, we need to continue flipping the coin until we achieve three consecutive heads. Each time we flip the coin, the probability of getting three consecutive heads increases. We can use the concept of geometric distribution to calculate the probability.
The probability of winning the game on the first attempt (after 3 tosses) is 1/8. The probability of winning on the second attempt is the probability of getting a tail on the first toss (1/2) multiplied by the probability of winning in the remaining tosses (1/8). Similarly, the probability of winning on the third attempt is (1/2) * (1/2) * (1/8), and so on.
We can calculate the probabilities for each attempt and sum them up to find the total probability of winning the game. After performing the calculations, the probability of winning the game is approximately 35.16%.
It is important to note that order matters in this calculation because we need to achieve three consecutive heads in a specific sequence (e.g., HHH) before getting a tail.
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