The surface integral of xz over the portion x^2 y^2 z^2=a^2 is zero.
To evaluate the surface integral of xz, we need to determine the surface over which the integration is to be performed. The given equation represents an ellipsoid centered at the origin. We can parameterize this surface using spherical coordinates as follows:
x = a sin(phi) cos(theta)
y = a sin(phi) sin(theta)
z = a cos(phi)
where 0 <= phi <= pi and 0 <= theta <= 2pi.
Now, we need to find the unit normal vector to the surface, which is given by:
n = (x/a^2, y/a^2, z/a^2)
The surface integral of xz can be expressed as:
∫∫(xz) ds = ∫∫(xz) ||n|| dA
where ||n|| is the magnitude of the unit normal vector and dA is the surface area element.
Substituting the values of x, y, z, and ||n||, we get:
∫∫(xz) ds = ∫∫(a^2 sin(phi) cos(phi) sin(theta) cos(theta)) a^2 sin(phi) d(phi) d(theta)
Simplifying this expression, we get:
∫∫(xz) ds = 0
Therefore, the surface integral of xz over the given surface is zero.
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midpoint of (-6,-9) and (3,-3)
The midpoint of (-6, -9) and (3, -3) is (-1.5, -6).
To find the midpoint of two given points, we calculate the average of their respective x-coordinates and y-coordinates.
In this case, the x-coordinate of the midpoint is obtained by averaging the x-values of -6 and 3, resulting in (-6 + 3) / 2 = -1.5.
Similarly, the y-coordinate is determined by averaging the y-values of -9 and -3, giving us (-9 + (-3)) / 2 = -6.
Thus, the midpoint of (-6, -9) and (3, -3) is (-1.5, -6).
The midpoint represents the exact center point between the two given coordinates along the line segment connecting them, dividing it into two equal parts.
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For what value does the function fail to exist?
The function in this problem fails to exist for x = 7, hence option C is the correct option in the context of the problem.
Where does the function fail to exist?The function in this problem is defined as follows:
f(x) = 6/(x - 7).
For a fraction, we have that the denominator must assume a value different of zero, hence the value of x at which the function is not defined is given as follows:
x - 7 = 0
x = 7.
Hence option C is the correct option for this problem.
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Simplify the expression. Show your work
Answer:
simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
Step-by-step explanation:
derivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
limit(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
taylor_series_expansion(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
antiderivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
integral(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
equation_solver(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4))=0)
simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
Please Help!! 100 POINTS, Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y= 6/5x-10
Step-by-step explanation:
an envelope contains eight bills: ones, fives, tens, and twenties. two bills are drawn at random without replacement. what is the probability that their sum is $ or more?
Using the concepts of probability, we got 0.5 is the probability of drawing the sum $20 or more when two bills are drawn randomly without replacement.
We have an envelope contains 8 bills;
Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.
When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.
Total outcomes = 2 x 2 x 2 x 2 = 16
Total possible outcomes, more than 20;
(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases
That is,
The total possible outcomes is 8.
Now,
The probability of bill to be $20 or more = Possible outcome / Total outcome
Probability = 8/16 = 1/2=0.5
Hence, When two bills are drawn randomly without replacement, the probability that their sum is $20 or more is 0.5.
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(Complete question)
an envelope contains eight bills: 2 ones, 2 fives, 2 tens, and 2 twenties. two bills are drawn at random without replacement. what is the probability that their sum is $20 or more?
Mrs. Berry is making fruit
punch for a family reunion. She
combines 3 L orange juice, 750
mL pineapple juice, 1.5 L
cranberry juice and 900 mL of
lime soda. How many liters of
punch did her recipe make?
can someone pls help me i can't figure out the answer
Answer:
1/5
Step-by-step explanation:
In order to solve this, you need to simplify. In this case, we would need to distribute first.
-5x - (-7 - 4x) = -2(3x - 4)
-5x + 7 + 4x = -6x + 8
Combine like terms:
-5x + 7 + 4x = -6x + 8
-5x + 6x + 4x = 8 - 7
-x + 6x = 1
5x = 1
X needs to be by itself, so you would divide by 5 (the coefficient in front x) on both sides. So,
5x = 1
x = 1/5
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
The assets and liabilities of a credit union banker are listed below.
What is the total net worth is the banker pays off the student loans?
A. $219,869
B. $247,517
C. $233,693
D. $252,304
Given the credit union banker's assets and liabilities, their total net worth is C. $233,693.
What is the net worth?The net worth of an individual is the difference between their assets (long-term and short-term) and their liabilities (long-term and short-term).
The net worth is equivalent to the equity of a business, which refers to the net assets owned by the stockholders after paying off all debts.
Assets:Car Value = $29,850
Savings Accounts = $12,409
Treasury Bonds = $10,000
Checking Account Balance = $19,419
Home Value = $194,450
Total assets = $266,128
Liabilities:Car loan = $10,560
Student Loans = $13,824
Credit Card Balance = $8,051
Total liabilities = $32,435
Net worth = $233,693 ($266,128 - $32,435)
Thus, the banker's net worth is not $219,869, $247,517, or $252,304 but Option C.
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Answer:
$247,517
Step-by-step explanation:
ITS RIGHT ON THE TEST GUYS ! :)
radian help pls! max points! tysmm
Answer:
b
Step-by-step explanation:
to change from degrees to radians
radian measure = degree measure × \(\frac{\pi }{180}\)
= - 750° × \(\frac{\pi }{180}\)
= - \(\frac{750\pi }{180}\) ( divide 750 and 180 by 30 )
= - \(\frac{25\pi }{6}\)
Answer:
\(\sf b) \quad -\dfrac{25 \pi}{6}\)
Step-by-step explanation:
To convert an angle measured in degrees to its equivalent in radians, multiply the given value by π/180°:
\(\begin{aligned}\implies \sf A & = \sf -750^{\circ} \times \dfrac{\pi}{180^{\circ}}\\\\ & = \sf -\dfrac{750 \pi}{180}\\\\ & = \sf -\dfrac{75 \pi}{18}\\\\ & = \sf -\dfrac{\diagup\!\!\!\!3 \cdot 25 \pi}{\diagup\!\!\!\!3 \cdot 6}\\\\ & = \sf -\dfrac{25 \pi}{6}\end{aligned}\)
What is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50?
a) 3127
b) 3133
c) 3137
d) 3139
e) 3149
The smallest positive integer that is neither prime nor square and that has no prime factor less than 50 is 3137.
This can be determined by using the prime factorization method. Prime factorization is a process of breaking down a number into its prime factors. The prime factors of a number are the factors that are only divisible by one and itself. For 3137, the prime factors are 3, 7, 17 and 37 since these are the only prime numbers that can divide 3137 evenly. Since none of the prime factors are less than 50, 3137 is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50.
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The chair of the meeting collects $2702 from 28 people.Whats the unit rate?
Answer:
$96.50
Step-by-step explanation:
How do I award brainliest I’m confused
First person to answer and actually help will get it! I have 2 min. Go!
Answer:
I think its an lucky chance for an mod or something to notice you
Step-by-step explanation:
Every seventh-grade student at Martin Middle School takes one world language class.
One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French.
Which equation represents s, the total number of seventh-grade students at the middle school?
18 = 0.1 s
18 = StartFraction 10 over s EndFraction
StartFraction s over 0.1 EndFraction = 18
10 s = 18
Option (A) 18 = 0.1s
Step-by-step explanation:
Every seventh-grade student at Martin Middle School takes one world language class.
Now we will form the equation as per statement of the question.
Let total students of seventh-grade = s
" one tenth of seventh grade students take French."
" Students who took French were 18."
So of s = 18
(0.1)s = 18
therefore, Option (A) 18 = 0.1s is the answer.
Answer
a
Step-by-step explanation:
Willow Brook National Bank operates a drive-up teller window that allows customers tocomplete bank transactions without getting out of their cars. On weekday mornings,arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customersper hour or 0.4 customer per minute.a. What is the mean or expected number of customers that will arrive in a ?ve-minuteperiod?b. Assume that the Poisson probability distribution can be used to describe the arrivalprocess. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1,2, and 3 customers will arrive during a ?ve-minute period.c. Delays are expected if more than three customers arrive during any ?ve-minuteperiod. What is the probability that delays will occur?
If 0.4 Customers arrives after 1 minute-
0.4*5 = 2.0 cm
What do you mean by Willow Brook National Bank ?From 1947 to 1987, Willowbrook State School served Staten Island's Willowbrook neighborhood as a state-funded facility for youngsters with intellectual disabilities. The school had 6,000 students enrolled by 1965 despite being intended for 4,000.
Aerts entered through the doors of Willowbrook State School in 1971 with former Staten Island Advance writer Jane Kurtin, and took disturbing photos of children and adults with special problems who were confined in cages, hungry, and used as research experiments.
Geraldo Rivera, who was working as an investigative reporter for WABC-TV in New York at the time, began an investigation into Willowbrook soon after and found a number of appalling circumstances there, including overcrowding and subpar sanitary facilities.
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if RS=2x+6 ST=x+4 and RT=40 find RS
ANSWER:
STEP-BY-STEP EXPLANATION:
\(undefined\)Please help solve these math questions! I need answer's fast and please show the work, tysm for helping!
The values of the expressions are;
1. x = 48
2. x = 122
3. x = 21/20
4. x = -9/80
5. x = 126
6.x² - 3x + 6 =0
How to determine the valueNote that algebraic expressions are defined as expressions made up of terms, variables, constants, factors and coefficients.
From the information given, we have that;
1. \(\sqrt{x - 12}\) = 6
find the square of both sides, we have;
x- 12 = 36
collect the like terms
x = 48
2. 12 = 4 + \(\sqrt{x - 58}\)
collect the like terms
8 = \(\sqrt{x - 58}\)
find the square of both sides
x = 64 + 58
x = 122
3. -7 = \(\sqrt{3 + 20x}\) - 12
collect the like terms
5 = \(\sqrt{3 + 20x}\)
find the square of both sides
25 -3 = 20x
x = 21/20
4. \(\sqrt{x - 9}\) = 9√x
find the square of both sides
x - 9 = 81x
collect the like terms
80x = -9
Make 'x' the subject
x = -9/80
5. \(\sqrt[3]{-x + 1}\) = -5
Find the cube of both sides
-x + 1 =-125
collect the like terms
-x = -126
x = 126
6. 2- x = 3 - \(\sqrt{7 - 3x}\)
collect the like terms
-1 = \(\sqrt{7 - 3x}\) + x
find the square of both sides
1 = 7 - 3x + x²
x² - 3x + 6 =0
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Which two shapes below are congruent?
Answer:
A and E
Step-by-step explanation:
They are the same shape and size if rotated properly.
Answer:
A and E
Step-by-step explanation:
when rotated they are the same shape and size
what is the probability that the number of systems sold is within 1 standard deviation of its mean value?
The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.
Explain the term Discrete Variable?The term "discrete variable" refers to a variable that has a finite range of possible values. such as using only integer numbers. For instance, the total number of students in a class, the quantity of faulty goods in a batch, etc.The given data is
x 1 2 3 4 5 6 7 8
p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01
(a) calculate mean value of x:
μ = E(x)
= ∑(xi.P(xi))
= 4.13
(b) calculate variance of x:
σ² = ∑(xi - E(x))².P(xi)
= 1.81331
(c) calculate standard deviation of x:
σ = √σ²
σ = √1.831
σ = 1.3539
The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:
P(μ - σ < x < μ + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)
= P(2.7761 < x < 5.4839)
= P(x = 3) + P(x = 4) + P(x = 5)
= 0.13 + 0.30 + 0.31
= 0.74
Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.
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The complete question is-
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.
x 1 2 3 4 5 6 7 8
p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01
What is the probability that the number of systems sold is within 1 standard deviation of its mean value?
the major multivariate technique for examining ________, is factor analysis.
- interobject similarity
- variable interdependence
- more than one dependent variable
- one dependent variable
The major multivariate technique for examining variable interdependence is factor analysis.
Factor analysis is a multivariate statistical technique used to identify patterns in the relationships among a large number of variables. Specifically, it is used to examine variable interdependence, which refers to the degree to which variables are related to one another in a dataset.
In factor analysis, the goal is to identify underlying factors or dimensions that account for the observed patterns of correlation among the variables. By doing so, it is possible to reduce the number of variables to a smaller set of factors that capture the essential information contained in the original variables. This can be useful for a variety of purposes, such as data reduction, hypothesis testing, and exploratory data analysis.
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What is 12*6-1????????????????????????
Answer:
71
Step-by-step explanation:
need help don't know what I'm doing !!!!!
Answer:
50
Step-by-step explanation:
m a t h w a y is helpful too!
Can someone plz help me? :(
Answer:
w = 8 is NOT a solution because 5 + 8 = 13
Step-by-step explanation:
In the equation 5 + w = 58, we're asked if 8 is a solution to this. To solve this problem, we plug in the value of w.
\(5 + 8 = 58\) \(13\neq 58\)As you can see, 5 + 8 = 13, not 58.
Thus, the answer is w = 8 is NOT a solution because 5 + 8 = 13.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
John was 40" tall in 2008 and 46" tall in 2010. Dave was 53" tall in 2003 and 70" tall in 2007. Who is growing at
a faster rate? If each person keeps growing at the same rate, how tall can we expect each to be in 2011? Is this
a reasonable expectation?
Answer:
John is growing at a faster rate.
Step-by-step explanation:
John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...
30 points **please help quadratic relations - will give brainlist to first one who answers
Answer:
See attached figure with table filled in.
Step-by-step explanation:
Answer:
\(\boxed{\mathrm{view \: attachment }}\)
Step-by-step explanation:
Vertex is the highest or lowest point of a parabola.
Axis of symmetry is the line that cuts the parabola in half.
y-intercept is the point where the parabola touches the y-axis.
The maximum or minimum values are the highest or lowest values the parabola can reach.
x-intercepts are the points where the parabola touches the x-axis.
Students were asked which night they plan
going to the school festival. The results of the survey
are shown in the table. If 18% of the students did not
go on Friday, and 15% of the students did not go on
Saturday, how many more students went on Friday
than on Saturday?
Pls help
Answer:3% went on Friday than on Saturday
Step-by-step explanation:
WXYZ is a parallelogram. The position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively. Determine in the form (x,y) the vectors, WX, XY, WZ, OZ
In the parallelogram, the coordinates form of the vectors WX, XY, WZ, OZ are (18,3), (24, 21), (2x, y) and (0,0).
The term coordinate in math is known as the set of values that represents the exact position on the coordinate plane
Here we know that WXYZ is a parallelogram and the position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively.
Then the value of the coordinate vectors are calculated as,
=> WX = (2,1) x (6,3) = (18, 3)
And the value of XY is calculated as,
=> XY = (6,3) x (4,7) = (24, 21)
And we know that the value of Z is (x, y), then the vector is calculated as,
=> WZ = (2,1) x (x, y) = (2x, y)
Finally the value of OZ is calculated as,
=> OZ =(0,0) x (x , y) = (0, 0)
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I NEED HELP ASAP!!! What is the value of a?
9514 1404 393
Answer:
C. 17.25
Step-by-step explanation:
The product of distances from the common point to the two circle intersection points is the same for each secant.
5(5+12) = 4(4+a)
69 = 4a . . . . . . . . subtract 16, simplify
17.25 = a . . . . . . . divide by 4
a wildlife biologist wanted to estimate the size of a deer population because garners were complaining that the deer were destroying their crops. she trapped and tagged the ears of 28 deer in june. in august, she trapped a total of 60 deer and 17 of those had tagged ears. how large was the deer population in that area? the carry capacity is 95. should any permits be inured? if so, how many?
The estimated size of the deer population in the area is approximately 36.43. Since this is less than the carry capacity of 95, no permits need to be issued for population control.
To estimate the size of the deer population, we can use the mark and recapture method. The biologist tagged 28 deer in June and then trapped a total of 60 deer in August, of which 17 had tagged ears.
The mark and recapture method assumes that the proportion of tagged deer in the second sample represents the proportion of tagged deer in the entire population. We can set up a proportion:
(Tagged deer in the second sample) / (Total population) = (Tagged deer in the first sample) / (Total number of deer in the second sample)
Using the given information:
17 / Total population = 28 / 60
To solve for the total population, we can cross-multiply and solve the equation:
17 * 60 = 28 * Total population
1020 = 28 * Total population
Total population = 1020 / 28
Total population ≈ 36.43
Therefore, the estimated size of the deer population in that area is approximately 36.43.
To determine if any permits should be issued, we need to compare the estimated population size to the carry capacity of 95. Since the estimated population size is less than the carry capacity, no permits need to be issued.
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A circular sector has a central angle of π6 radians and a radius of 9 ft.
What is the area of the sector?
Use 3.14 for pi. Round your answer to the nearest tenth.
Enter your answer in the box.
area = ft2
Answer:
\( \approx \: 21.2 \: {ft}^{2} \)
Step-by-step explanation:
\(central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2} \)
Answer:
given
π6radian=30°
radius r =9ft
the area of the sector=30°/360×π×r²
=30/360×22/7×9²=21.214ft²