[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]
evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin
The value of f.ds = 20π.
What is Flux?The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.
Given:
f = <3xy²,3x²y,z³>
Using Divergence Theorem
P= 3xy²
Q= 3x²y
R = z³
So, dP/ dx= 3y²
dQ/ dy = 3x²
dQ/ dz = 3z²
So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]
= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)
= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)
Since the radius is 5.
= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)
= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV
= 15 (4/3)π
= 20π
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What is an equivalent expression to 14x^2 + 4y^3 - 3x^2 - 5 + 2y^3
Answer:
It’s C :)
Step-by-step explanation:
The solution is Option C.
The value of the equation is simplified as A = 6y³ + 11x² - 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 14x² + 4y³ - 3x² - 5 + 2y³ be equation (1)
On simplifying the equation , we get
Adding the similar terms in the equation , we get
A = ( 4y³ + 2y³ ) + ( 14x² - 3x² ) - 5
Now , the value of A is
A = 6y³ + 11x² - 5
Therefore , the value of A is 6y³ + 11x² - 5
Hence , the equation is 6y³ + 11x² - 5
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Please help on both. I’m not sure of my answrs before I submit. Thank u :)
Answer:
ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...
2 One morning I shot an elephant in my pajamas. ...
3 The complex houses married and single soldiers and their families. ...
4 The man the professor the student has studies Rome.
Step-by-step explanation:
Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
Answer:
well i dont know this sorry
Step-by-step explanation:
STUDY TIP 1
Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.
FOLLOW FOR MORE TIPS !!!
Answer:
THANK U!
FOR THE TIP.
HAVE A GREAT DAY!
Find the value of x. Please help me. I can’t find the answer.
Answer:
Step-by-step explanation:
The two sides opposite the angles marked as equal are themselves equal
4x + 8 = 48 - x Add x to both sides
4x + x + 8 = 48 Combine
5x + 8 = 48 Subtract 8 from both sides.
5x + 8 - 8 = 48 - 8 Combine
5x = 40 Divide by 5
5x/5 = 40/5
x = 8
HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS
Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
I like the view
juliana wrote the terms below. –8, –4, 0, 4, 8, 12 what do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
Answer:
B. an arithmetic sequence
Step-by-step explanation:
hope this helps :)
please help me asappp :D
ty :)
Answer:
5x + 8y = 24
Step-by-step explanation:
Multiply the equation 8
8 ( y = -5x/8 + 3 )
8y = -5x + 24
5x + 8y = 24
2y=8x-6 Find the Slope
Answer:
Slope is 4
Step-by-step explanation:
2y=8x-6
divide by 2
y=4x-3
y=mx+b
m is slope
m=4
How many real solutions are there for the quadratic equation below?
0=2x^2-3x+7
A) 0
B) 1
C) 2
D) infinite
Answer:
2 solutions
Step-by-step explanation:
2 solutions
3/4 - i[tex]\sqrt{47}[/tex]/4
3/4 + i[tex]\sqrt{47}[/tex]/4
What’s the slope of a line that goes through (0,2)(7,5)
Answer:
slope = 3/7 or 0.43
Step-by-step explanation:
use the slope(gradient) formula
SOLVE
x + 3y = -1
y = x - 7
Write the solution below.
Answer:
x= 5 ........................ .......
PT. 5 OF MY HW!!! ITS UNIT RATE!!!
Answer: The second pool is filled at a faster rate (3,600 gal/h) than the first pool (1,300 gal/h)
Step-by-step explanation:
Which table correctly lists the reasons to prove angle 1 approximately equal to angle 3 comma given that stack A B with left right arrow on top intersects stack C D with left right arrow on top ?
Based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).
The reflexive property of equality states that:
a + b = a + b.
Since m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°, therefore, based on the reflexive property, we would have:
m∠1 + m∠2 = m∠2 + m∠3.
Thus, subtracting m∠2 from both sides of the equation will leave us with: m∠1 = m∠3 (subtraction property of equality).
Therefore, based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).Learn more about the reflexive property on:
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Helppppppppppppppppp
[tex]\huge \tt༆ Answer ༄[/tex]
The respective terms used for the lines are ~
a.) Line a = Tangent b.) Line b = Radius c.) Line c = Diameter d.) Line d = SecantStep-by-step explanation:
a is tangent
b radius
c diameter
d chord
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.
The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.
a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.
b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
PLZZZ HELP
Order these numbers from least to greatest.
Answer:
51/10, 4 and 1/9, 5.116, and 5.98
Step-by-step explanation:
least to greatest
Answer:
4 1/9, 51/10, 5.116, 5.98
Step-by-step explanation:
4 1/9
= 37/9
= 4.111...
51/10
= 5.1
Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Different cities have different sales tax rates. Here are the sales tax charges on the
same items in two different cities. Complete the tables.
City 1
total cost
item
price
(dollars)
sales tax
(dollars)
(dollars)
8.00
0.48
8.48
paper towels
25.00
1.50
lamp
1.00
pack of gum
laundry soap
12.00
х
Answer:
city 1
paper towels 8.00 0.48 8.48
lamp 25.00 1.50 26.50
pack of gum 1.00 0.06 1.06
laundry soap 12.00 0.72 12.72
46.00 2.76 48.76
city 2
paper towels 8.00 0.64 8.64
lamp 25.00 2.00 27.00
pack of gum 1.00 0.08 1.08
laundry soap 12.00 0.96 12.96
46.00 3.68 49.68
-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?
Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0
Answer:
9log_b(u)+4log_b(v)
should be like that. let me know if iam wrong
Need help ppl keep givin me links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:
A. True
B. False
Answer:
A True
Step-by-step explanation:
Calculate the slope of the following points. (0, 4) and (5, 9). Show all work.
Answer:
1
Step-by-step explanation:
Subtract the y values and put them in the numerator (top of fraction). 9-4=5.
Subtract the x values and put them in the denominator (bottom) 5-0=5.
Put the numbers in the fraction and simplify. 5/5 = 1.
Please help!!
I have to find the slope of the blue line on the graph
Answer:
2
Step-by-step explanation:
Using points (0,0) and (2,4)
slope= (y2 - y1)/(x2 - x1)
= (4-0)/(2-0)
= 4/2
= 2
H.E.L.P 100 POINTS!!! Match the addition and subtraction problems to their solutions: (See the picture)
Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Answer:
A
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Please help me with this math problem!! NO LINKS PLEASE!! DUE TONIGHT AT 11:59PM!! THANKS!! :)
[tex]\sin \gamma = \dfrac wk\\\\\\\tan \varphi = \dfrac mw\\\\\\\tan \gamma = \dfrac wm[/tex]
What is the answer to | 6-4|-|3-8|
Answer:
-3
Step-by-step explanation:
Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]