The value of the integration for a non closed path abcd will be -88
What is cyclic integration?
Cyclic integration is the integration over a closed loop.Close the path by connecting D to A. Then by Green's theorem, the integral over the closed path ABCDA - which I'll just abbreviate C - is
[tex]\oint_c(Sin(x)+9y)dx+(4x+y)dy\\\\\\[/tex]
[tex]=\int\int \dfrac{\partial (4x+y)}{\partial x} -\dfrac{\partial (Sin(x)+9y)}{\partial y}dxdy[/tex]
[tex]=-5\int\int dxdy[/tex]
(where int(C ) denotes the region interior to the path C )
The remaining double integral is -5 times the area of the trapezoid, which is
[tex]-5 \int\int dxdy=\dfrac{-5}{2}\times (12+4)\times 4=-160[/tex]
To get the line integral you want, just subtract the integral taken over the path DA. On this line segment, we have x = 0 and dx = 0, so this integral reduces to
[tex]\int _{DA} ydy=\int\limits^0_{12} y dy=-\int\limits^{12}_0ydy =-72[/tex]
Then
[tex]\int_{ABCD}9Sin(x)+9y)dx+(4x+y)dy=-160-(-72)=-88[/tex]
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Question Number 2 of 20 - Algebra I
Which is an example of the commutative property of addition?
3+5m=5m+3
3+5m=(3+5)m
3+ 5m= 3 + (1 + 4)m 3+5m=3m+5
Answer:
3 + 5m = 5m + 3What is the communitive property of addition?The commutative property of addition means that it does not matter what order in which you add numbers. You will get the same answer either way. It is represented as a + b = b + a, in which a and b are real numbers. However, the property is not limited to two numbers.
How would the communitive property of addition be applied to the expression 3 + 5m = 5m + 3?1) Rearrange terms
3 + 5m = 5m + 3
5m + 3 = 5m + 3
2) Subtract 3 from both sides
5m + 3 = 5m + 3
5m + 3 - 3 = 5m + 3 - 3
3) Simplify
- Subtract the numbers
5m + 3 - 3 = 5m + 3 - 3
5m = 5m + 3 - 3
- Subtract the numbers
5m = 5m + 3 - 3
5m = 5m
4) Subtract 5m from both sides
5m = 5m
5m - 5m = 5m - 5m
5) Simplify
- Combine like terms
5m - 5m = 5m - 5m
0 = 5m - 5m
- Combine like terms
0 = 5m - 5m
0 = 0
This means it has infinite solutions.
But the commutative property addition have been shown.
what is the interquartille range of the given data set
11, 12, 14, 15. 18. 19. 21, 23. 25, 55
A. 25
B. 9
C. 44
Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. The median is 18.5.
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. The lower quartile is 14.
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. The upper quartile is 23.
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. The interquartile range is 9.
Which statement about the hyperbola is true? the point (3.6, 0) is the directrix. the point (−3.6, 0) is the center. the point (2, 0) is a focus. the point (−2, 0) is a vertex.
The statement about the hyperbola is true is D. the point (−2, 0) is a vertex.
What is a hyperbola?It should be noted that a hyperbola simply means an open curve that has two branches and usually symmetric.
In this case, the statement about the hyperbola is true is that the point (−2, 0) is a vertex.
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Please help I’ve been stuck on this for hours !!!
Answer C
Step-by-step explanation:
Every person at a party of Eighty-Nine people said hello to each of the other people at the party once. How many "hellos" were said at the party?
Answer:
3916 hello's were said
Explanation:
(n/2)(n-1)
insert n = 89
(89/2)(89-1)
(44.5)(88)
3916 hello's
Answer:
3916 hellos
Step-by-step explanation:
That is the number of combinations of 2 from 89
= 89! / (89-2)! 2!
= 89! / 87! 2!
= 89*88 / 2
= 3916.
the sum of the squares of two consecutive even integers is 884. determine the integers.
Answer:
(2x+1)(1) = 84. 2x+1= 84. 2x = 83.
Step-by-step explanation:
Find the value of the given equation : 2 (x-1) - 6 =24
A shop sells apples and oranges in the ratio 5:2.
It sells apples for 30p and oranges for 40p.
If the shop sells 35 pieces of fruit altogether, how much money does the shop receive? Give your answer in
pounds and pence.
Total money does the shop receive is 0.12 Pound
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
According to the question
A shop sells apples and oranges in the ratio 5:2
Let constant multiple of the ratio as a
Now,
Apples = 5a
Oranges = 2a
Total pieces of fruit sell = 35
i.e
5a + 2a = 35
7a = 35
a = 5
Therefore,
Apples = 5*5 = 25
Oranges = 2*5 = 10
Now ,
Shop sells apples at = 30p
Shop sells oranges at = 40p
Total money the shop receive = 30 * 25 + 40 * 10
= 1150 p
Paisa to Indian rupee : 100p = ₹1
= ₹11.50
Now, Indian rupee to pounds :
1 Indian Rupee equals 0.011 Pound (according to current market value)
₹11.50 is equal to 0.12 Pound
Hence, Total money does the shop receive is 0.12 Pound .
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which phrase represents this expression? (30 - 10) × 5
Answer:
100
Step-by-step explanation:
Equations in parentheses get solved first: 30-10=20 and 20x5=100
Increase £15837.77 by 18.5%
if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 15837.77 & 100\\ x& 118.5 \end{array} \implies \cfrac{15837.77}{x}=\cfrac{100}{118.5} \implies (15837.77)(118.5)=100x \\\\\\ \cfrac{(15837.77)(118.5)}{100}=x\implies 18767.76\approx x[/tex]
5x+3/-2 =4 what is the value of x
Answer: Hii <3
11/10 is your answer i believe
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hopefully this helps you !
- Matthew ~
Answer:
The value of x = 11/10 or 1.1
Step-by-step explanation:
5x+3/-2 =4
=> 5x -3/2 = 4
=> 5x = 4 + 3/2
=> 5x = (8+3)/2
=> 5x = 11/2
=> x = 11/10 or 1.1
The triangle shown below has an area of 22 units, 4 Find the missing length. = units
Answer:
Step-by-step explanation:
the area of a triangle is area= 1/2 x base x height. ( half multiply by base multiply by height)
so plug in 22 for area 22=1/2 x 4 x height
22/2=11
11 is the length
hope this helps.
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
The probability that the total of the two numbers is more than 32 = [tex]\frac{2}{5}[/tex]
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
What is the formula of combination?[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
For given question,
We have been given five number cards.
Two of the five cards are picked at random.
Using combination formula the possible number of outcomes would be,
[tex]^5C_2\\\\=\frac{5!}{2!(5-2)!} \\\\=10[/tex]
So, n(S) = 10
Let event A : the total of the two numbers is more than 32
A = {(19, 14), (19, 22), (13, 22), (14, 22)}
So, n(A) = 4
Using the formula for probability,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)} \\\\\Rightarrow P(A)=\frac{4}{10}\\\\\Rightarrow P(A)=\frac{2}{5}[/tex]
Therefore, the probability that the total of the two numbers is more than 32 = [tex]\frac{2}{5}[/tex]
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A true-false test has 4 questions. What is the chance of answering all questions correctly by guessing?
Answer:
Thus, in total, there are 24=16 ways to answer the four questions. Only one of these 16 sequences is correct. Assuming each of these 16 sequences is equally likely to occur (as would result from random guessing), the probability that all four questions are answered correctly is 1/16.
what is the value of C
Answer:
website na para sa di marunong mag math haha cutting study value of c is vintamin C = Glox C
Find the perimeter of the polygon. a trapezoid with bottom base of 11 centimeters, top base of 7 centimeters, and sides of 8 centimeters. a. 40 cm c. 28 cm b. 34 cm d. 39 cm
Answer:
b-34
Step-by-step explanation:
add up all the sides
(Geometry)
A circle has a radius of 13.5 cm What is the exact length of an arc formed by a central angle measuring 120 degrees
[tex]\textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=13.5\\\theta =120\end{cases}\implies \begin{array}{llll}s=\cfrac{(120)\pi (13.5)}{180}\implies s=9\pi \\\\\\s\approx 28.27\end{array}[/tex]
Which is a factor of both terms of the expression 2d-10
Answer:
2Step-by-step explanation:
2d = 2 · d
10 = 2 · 5
2d - 10 = 2 · d - 2 · 5 = 2 · (d - 5)
Answer: the answer is 2 YW!!!
Step-by-step explanation:
What’s the circumference to this problem?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=3.142[/tex]
Hope this helps! Let me know if you have any questions
a square prism measuring 4 ft along each edge of the base and 6ft tall
Enter the value of p so that the expression 18n + 54 is equivalent to 2p (n+3)
Answer:
p = 9
Step-by-step explanation:
The distributive property can be used to factor the given expression.
__
18n +54 = 18(n +3)
Matching this to the desired form, we see ...
18(n +3) = 2p(n +3)
2p = 18
p = 9 . . . . . . . divide by 2
PLEASE HELP IM STRUGGLING AND IM FAILING GEOMETRY
Answer:
2.6 m
Step-by-step explanation:
The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.
Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178
178 = 2(10x) + 2(5 x 10) + 2 (5x)
Simplify!
178 = 20x + 100 + 10x
Subtract 100 from both sides and combine x's
78 = 30x
divide both sides by 30
x = 2.6 m
answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)
Write the quotient in repeated multiplication form. Then write the quotient as a power.
[tex]\frac{m^{10} }{m^{5} }[/tex]
The quotient as repeated multiplication is
The quotient as a power is
Answer:
Step-by-step explanation:
m^(10-5) or (m*m*m*m*m*m*m*m*m*m)/(m*m*m*m*m)
m^5
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
A) 4/9
B) 1/9
C) 4 1/9
The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.
What is a quadratic equation?It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The expression is x² + x.
Then the constant should be added to form a perfect square trinomial.
Then the constant will be
The square of the half of the coefficient of the variable x is to be added to make a perfect square.
Then the constant will be 1/4.
Then the perfect square will be
[tex]\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2[/tex]
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Garrett runs a catering service for large
parties. He needs 27 whole tomatoes for
his salad to feed 120 guests. Write a
proportion which illustrates how many
whole tomatoes, w, he would need to feed
400 guests.
Hello! :D
_________________________________
ANSWER :
90 TomatoesSOLUTION :
You will need x.
So, [tex] \sf{\frac{27}{120} = \frac{x}{400} } \ \\ \\ \ \sf{x = \frac{27 \times 400}{120} =\:} \sf \red{90\:}[/tex]__________________________________
Ambition SuccesWrite your answer as a power.
Answer:
8
Step-by-step explanation:
2 times 4 is 8
Step-by-step explanation:
remember, when multiplying the same base with different exponents, we add the exponents.
when putting exponents to the power of exponents, we multiply the exponents (as simplified shortcut of all the additions we would actually have to do).
((-3)²)⁴ = (-3)⁸
in "slow motion" :
((-3)²)⁴ = (-3)²×(-3)²×(-3)²×(-3)² = (-3)^(2+2+2+2) = (-3)⁸
(-3)² = 9
9⁴ = 6561
(-3)⁸ = 6561
In the congruent figures ABCD and WXYZ, which angles are corresponding?
A
A and B
B
B and X
C
A and Y
D
D and W
Answer: B
The letters have the same positions in the figure names.
70°
13
४
c=
12.2
x
A
Answer:
sin70=13/x
[tex] \sin(70) \times x = 13[/tex]
[tex]x = 13 \times \sin(70) [/tex]
[tex] x = 13 \div 0.9397[/tex]
13.8
Explain the relationship between a central angle and an inscribed angle in a circle.
in a figure angle theta is the inscribed angle in the circle is half of the central angle 2theta that subtent the same arc on circle.
I need help on this problem! :)
