The integral ∫[0 to 10] x² eˣ² dx has no exact solution.
The integral involves the function x² eˣ², which does not have an elementary antiderivative in terms of standard functions. Therefore, there is no exact solution for the integral.
In certain cases, integrals involving exponential functions and polynomial functions can be evaluated using numerical methods or approximation techniques. However, in this case, from the information provided the equation for the integral is obtained .
The value of integral is ∫[0 to 10] x² eˣ² dx .
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Complete question:
Evaluate. Assume u > 0 when In u appears. Brd 10 dx .. = (Type an exact answer.) [x² ex² dx=0
10q − 5q + q − q = 10
Step-by-step explanation:
\(\tt{10q-5q+q-q=10 }\) ⠀
\(\tt{11q-6q=10 }\) ⠀
\(\tt{ 5q=10 }\) ⠀
\(\tt{ q=\dfrac{10}{5} }\) ⠀
\(\tt{ q=2 }\) ⠀
Step-by-step explanation:
10q-5q+q-q=105q=10q=10/5q=2Which of the following equations could be the function pictured in the graph?
A. y = ( x - 1 ) ( x + 3 )
B. y = ( x + 1 ) ( x - 3)
C. y = ( x + 1 ) (x + 3)
D. y = ( x + 1 ) ( x - 1 )
Answer: B
Step-by-step explanation:
We can find the correct equation by finding the x-intercepts, or the zeroes.
To find the x-intercept, you have to make the y's value = 0. If y on the graph is zero, the x-intercept is (-1,0) and (3,0).
Then look at the equations and see which one has -1 and 3 as the values of x.
The answer is B.
Find the shortest route from node 1 to node 7 in the network shown. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". For negative values enter "minus" sign (-).
Min x12 + x13 + x14 + x23 + x25
+ x32 + x35 + x46 + x52 + x53
+ x56 + x57 + x65 + x67
s.t.
The shortest route from node 1 to node 7 in the given network is via the path 1-2-3-5-6-7. The total distance for this route is 5 units, solved using the concept of graph theory.
The network can be represented as a graph, where each node represents a point and the edges represent the connections between the nodes.
Starting from node 1, we can see that the shortest path to node 7 is through the following nodes: 1-2-3-5-6-7.
From node 1, we have two possible paths: 1-2 and 1-4. We need to evaluate which path is shorter.
For path 1-2, the distance is x12 and for path 1-4, the distance is x14.
Moving to node 2, we have three possible paths: 2-3, 2-5, and 2-6. We need to evaluate which path is shorter.
For path 2-3, the distance is x23, for path 2-5, the distance is x25 and for path 2-6, the distance is x26.
Moving to node 3, we have two possible paths: 3-5 and 3-2 (backtracking). We need to evaluate which path is shorter.
For path 3-5, the distance is x35 and for path 3-2 (backtracking), the distance is x32.
Moving to node 5, we have two possible paths: 5-6 and 5-3 (backtracking). We need to evaluate which path is shorter.
For path 5-6, the distance is x56 and for path 5-3 (backtracking), the distance is x53.
Moving to node 6, we have two possible paths: 6-7 and 6-5 (backtracking). We need to evaluate which path is shorter.
For path 6-7, the distance is x67 and for path 6-5 (backtracking), the distance is x65.
Finally, we reach node 7.
After evaluating all the possible paths and their distances, we can conclude that the shortest route from node 1 to node 7 is through the path 1-2-3-5-6-7, with a total distance of 5 units.
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A man writes 1 on the first line of his paper, then writes 2 and 3 on the second line, then 4, 5, and 6 on the third, and continues so that on any line n he writes the first n integers following the last integer on line n - 1. What is the sum of the first and last integers on line 17
Answer: 290
Step-by-step explanation:
\(First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290\)
I have not say the equation in u(n+3) for the recurrence,
the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.
a multiple-choice test contains 7 questions. there are four possible answers for each question. in how many ways can a student answer the questions on the test if the student answers every question?
student can answer the questions on the test in 16,384 different ways if they answer every question.
To determine the number of ways a student can answer the questions on a multiple-choice test containing 7 questions with four possible answers for each question, we will use the multiplication principle. The multiplication principle states that if there are a number of independent choices, then the total number of possible outcomes is the product of the number of choices.
Identify the number of questions and possible answers. In this case, there are 7 questions and 4 possible answers for each question.
Calculate the number of ways to answer each question. Since there are 4 possible answers for each question, there are 4 ways to answer each of the 7 questions.
Apply the multiplication principle. To find the total number of ways to answer all 7 questions, multiply the number of ways to answer each question:
Total number of ways = (4 ways for question 1) x (4 ways for question 2) x ... x (4 ways for question 7)
Perform the calculation. Since there are 7 questions and 4 ways to answer each question, the total number of ways is:
Total number of ways = 4^7 = 16,384
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What is the easiest way to solve system of equations?
The easiest way to solve a system of equations is by using the substitution method.
The substitution method requires you to solve for one variable in one of the equations, substitute the answer into the other equation, and then solve for the remaining variable.
The easiest way to solve a system of equations is to use the substitution method. This method works by substituting one equation into the other to solve for one of the variables. Once the variable is found, it is then substituted back into the other equation to solve for the other variable. For example, if you have two equations: 3x + 2y = 5 and 4x - 2y = 6, you would solve the first equation for y and substitute the answer (y = (5 - 3x)/2) into the second equation. Then, you would solve the second equation for x (x = (6 + 2y)/4). Once you have the values for x and y, you can substitute them into either equation to check your answer.
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hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )
Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15
Answer:
c
Step-by-step explanation:
We are dividind how 100 can fit in 15 seconds
which is 100 /15
therefore when C when u tak it to the other side it divides 100 in 15
d×15=100
d=100/15
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
A gambler has in his pocket a fair coin and a two-headed coin. He selects one of the coins at random and flips it twice showing heads on both flips. What is the probability that he selected the fair coin
The probability that the gambler selected the fair coin, given that he observed two heads in a row, is 1/3.
Let's denote the event of selecting the fair coin as "F" and the event of getting two heads in a row as "HH". We need to find the probability of selecting the fair coin given that we observed "HH".
Using Bayes' theorem, the probability can be calculated as:
P(F | HH) = (P(HH | F) P(F)) / P(HH)
P(HH | F) is the probability of getting two heads in a row given that the fair coin is selected. Since the fair coin is unbiased, the probability of getting heads on a single flip is 1/2. Therefore, the probability of getting two heads in a row with the fair coin is (1/2) (1/2) = 1/4.
P(F) is the prior probability of selecting the fair coin, which is 1/2 since the gambler randomly selects one of the coins.
P(HH) is the total probability of observing two heads in a row. It can be calculated as the sum of the probabilities of getting two heads in a row with each coin: (1/4) (1/2) + 1 (1/2) = 3/8.
Plugging these values into Bayes' theorem, we get:
P(F | HH) = (1/4 x 1/2) / (3/8) = 1/3
Therefore, the probability that the gambler selected the fair coin given that he observed two heads in a row is 1/3.
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what is the value of x in the triangle?
Hello!
Pythagore!
so:
x² = 10² + 10²
x² = 100 + 100
x² = 200
x = √200
x = √(2*100)
x = √2 * √100
x = √2 * 10
x = 10√2
A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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Find the median and mean of the data set below:
24 , 14 , 13 , 19 , 44
To find the median, we need to first arrange the data set in order:
13, 14, 19, 24, 44
The median is the middle number, which is 19.
To find the mean, we add up all the numbers and divide by the total number of numbers:
(13 + 14 + 19 + 24 + 44) / 5 = 22
Therefore, the median is 19 and the mean is 22.
~~~Harsha~~~
Answer:
19 and 22
Step-by-step explanation:
To find the median, we need to first put the numbers in order from least to greatest:
13, 14, 19, 24, 44
There are five numbers in the data set, and the middle number is 19. Therefore, the median is 19.
To find the mean, we add up all the numbers and divide by the total number of numbers:
(24 + 14 + 13 + 19 + 44) ÷ 5 = 22
Therefore, the mean is 22.
What is the approximate area of the circle shown below?
A. 94 cm2
B. 11,310 cm2
C. 2827 cm2
D. 188 cm2
Please help
Answer:
Step-by-step explanation:
we have the diameter =60 cm, the radius is 60/2=30 cm
A circle is 3.14*r^2=2827 cm^2
Answer: C. 2827 cm2
Step-by-step explanation:
The area of a circle is calculated by pir^2; r = the radius
In the diagram, the diameter is provided. The radius is half of the diameter. 60/2 = 30, so the radius is 30 cm.
Plug these values into the formula
A = 3.14*30^2
A = 2827.43, which would round to 2827 cm2
will give brainliest
Answer:
£29.37
Step-by-step explanation:
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what is the probability that Edward is assigned to the Sioux Platoon
Answer:
Is there answer choices?
Step-by-step explanation:
Answer:
Is there answer choices?
Step-by-step explanation:
what percentage of this square is shaded grey
not shaded
shaded with diagonal lines
Answer:
shaded: 33%, diagonals: 9%, not shaded:58%
Step-by-step explanation:
shaded: 10*3+3=33
diagonals: 3*3=9
not shaded: 100-33-9=58
A teacher gave a 25 question multiple choice test. After scoring the tests, she computed a mean and standard deviation of the scores. The standard deviation was 0. Based on this information........ (choose the correct choice) None of the above. she must have made a mistake. about half the scores were above the mean. all the students had the same score.
By applying standard deviation concept, it can be concluded that all the students had the same score.
The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.
The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.
If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."
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An exam consists of 40 multiple-choice questions. Each question has a choice of five answers, only one of which is correct. For each correct answer, a candidate gets 1 mark, and no penalty is applied for getting an incorrect answer. A particular candidate answers each question purely by guess-work. Using Normal approximation to Binomial distribution with continuity correction, what is the estimated probability this student obtains a score greater than or equal to 10? Please use R to obtain probabilities and keep at least 6 decimal places in intermediate steps.
A. 0.7234 B. 0.2766 C. 0.5927 D. 0.1615 E. 0.3773
The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).
The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.
Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.
To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.
Let X be the number of correct answers. Then, we have:
P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)
= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.
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Use polar coordinates to find the volume of the given solid.
Enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3
-x2 - y2 + 9 = 6 >>> x2 + y2= 3 so r2 = 3 >>> squart 0<=r <=3
My question is that why negative square root of 3 is not included in the range???
In polar coordinates, the radial distance "r" is defined as the distance from the origin to a point in the plane. Since distance cannot be negative, we only consider the positive square root of 3 in the range for this problem. So, the correct range for "r" is 0 ≤ r ≤ √3, and negative square root of 3 is not included because it doesn't represent a valid distance in polar coordinates.
To find the volume of the given solid enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3 using polar coordinates, we need to express the equation of the hyperboloid in terms of polar coordinates.
Substituting x = rcosθ and y = rsinθ, we get:
−r2cos2θ − r2sin2θ + z2 = 6
Simplifying, we get:
z2 = 6 - r2
Since the plane z = 3 intersects the hyperboloid, we have:
3 = √(6 - r2)
Solving for r, we get:
r = √3
Hence, the range for r is 0 ≤ r ≤ √3.
In summary, the negative square root of 3 is not included in the range of r because r represents a distance and cannot be negative. The volume of the solid can be found by integrating the function f(r,θ) = √(6 - r2) over the range 0 ≤ r ≤ √3 and 0 ≤ θ ≤ 2π using polar coordinates. The result will be in cubic units and can be obtained by evaluating the integral.
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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Christopher bought 16 chicken wings for $12.
What was the cost of the wings in dollars per
wing?
Answer:
75 cents
Step-by-step explanation:
16 divided by 12 is 0.75 and 0.75 x 16 is 12
Carmen has 35% off to buy a coupon to buy a new basketball shoes. The original price of the shoes were 85.00 how much money does Carmen save by use if the coupon
Answer:
Carmen saves $29.75
Step-by-step explanation:
I hope this helps!
Need 6 and 7 done please and thank you
Answer:
black
black
Step-by-step explanation:
What is the coupon rate and maturity date for this bond ?
Answer:
I don't know the answer! this is hard
Step-by-step explanation:
Answer:
need help
Step-by-step explanation:
1. (i) Describe the relations pictured below using the following categories: Trend (correlation): Positive (increasing) or negative (decreasing) Strength: Strong or weak
Type: linear, non-linear, no trend
(ii) Draw a line or curve of best fit for those relations that have trends.
Answer:
INCREASING, DECREASING, DECREASING, INCREASING, INCREASING, DECREASING
STRONG, WEAK, WEAK, STRONG, STRONG, WEAK
Step-by-step explanation:
-14 - 8x = -2(-3x + 7)
solution? No solution? Infinite?
Answer:
the answer is one solution
Answer:
x=0
This means that there is a solution.
Step-by-step explanation:
Step 1- Distribute into the parenthesis
-14-8x= (-2)-3x+(-2)7
Step 2- Multiply
-14-8x= 6x-14
Step 3- Add 8x to both sides.
-14x-8x= 6x-14
+8x +8x
Step 4- Add 14 to both sides.
-14= 14x-14
+14 +14
Step 5- Divide both sides by 14.
0 = 14x
14 14
x=0
A movie was 3 and one-half hours long. If Lily turned the movie off One-fourth of the way through, how much time did she spend watching it?
Answer:
im pretty sure it B. its the reasonable one :/
Step-by-step explanation:
Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that:____.
Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that yuan has depreciated relative to dollar.
What is meant by the exchange rate?
The price of one currency relative to another is known as the exchange rate. When nations employ gold or another accepted standard, and each currency is worth a particular amount of the metal or other standard, the exchange rate is "fixed."Last week: $1 = 0.12 yuan
Therefore, for exchange of $1, 0.12 yuan will be given
Today: $1 = 0.2
Therefore, for exchange of $1, 0.2 yuan will be given.
So, yuan will be given for same amount of $. Thus yuan has depreciated.
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Laverne purchased 2.65 pounds of onions, 5.4 pounds
of potatoes, 3 pounds of carrots, and half a pound of
beans. She put them in a box and carries them to her
car. What is the total weight of the vegetables?
Answer:
idc
Step-by-step explanation:
Answer:11.55 lbs.
Step-by-step explanation:
You would add all the lbs. together
2.65
5.40
3.00
+0.50 ( for the half a pound of beans)
————-
11.55 lbs
help pls, I'm timed!
Answer:
90
Step-by-step explanation: