-6(-4/7)=
I need for a math assignment please help

Answers

Answer 1

Answer:

The answer is 24/7

Answer 2

Answer:

3.428

Step-by-step explanation:


Related Questions

Plz help answer these questions

Plz help answer these questions

Answers

Answer:

Step-by-step explanation:

If you download Socratic it give u all the answers for free

To simplify the expression, which operation should be performed first?
3+4-8.72 +9:6
I
A) 3 +4
B) 8.7
C) 72
D) 9-6

Answers

using P.E.M.D.A.S. add 3 + 4 + 9:6 then subtract what you get ---> X - 8.72

1) A colony of 1000 ants build a nest in 2 days. a) Assuming all ants work at the same rate, would it take 500 ants more or less time b) How long would it take 500 ants to build the same nest?c)how long would it take 2000 ants to build the same nest. d) how long would it take 400 ants to build the same nest​

Answers

Answer:

a) More time

b) 4 days

c) 1 day

d) 5 days

Step-by-step explanation:

The number of  days(d) taken for N ants to build a nest is inversely proportional to the number of ants. More ants less time, less ants more time

We can state this using the equation N/1000 = 2/d So the number of days for N ants to build the nest is d = 2000/N

a) 500 ants take more time to build the nest

b) Number of days taken for 500 ants  is double that for 1000 ants so 4 days

c) For 2000 ants, the completion time is halved so it takes 1 day

d) For 400 ants use the equation d = 2000/N = 2000/400 = 5 days

A polynomlal function has x-Intercepts at -2, ;, and 2 and a relative maximum at x=-1. graph Which graph matches the description of this function?

Answers

The graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

How to Determine the Graph of a Polynomial Function?

We are given that the polynomial function has the following characteristics:

Relative maximum at x = -1, this implies that the peak point of the graph has an x-value that is equal to -1. In order words, the "mountain" is at x = -1.

Graph A has a "mountain" that is at x = -1.

We are given the x-intercepts of the polynomial function as:

-2, 1/2, and 2. This means that the graph intercepts the x-axis at -2, 1/2, and 2.

Graph A in the image attached has x-intercepts of -2, 1/2, and 2.

Therefore, we can conclude that the graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

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A polynomlal function has x-Intercepts at -2, ;, and 2 and a relative maximum at x=-1. graph Which graph

If the diagonal of the rectangle is 10.5 inches and the length of the rectangle is 7.25, what is the width of the rectangle?

Answers

Answer:

w≈7.6in

Step-by-step explanation:

L= 7.25

D= 10.5

Using the formula    \(d=\sqrt{w^{2} + l^{2} } \\\)Solving for w          \(w=\sqrt{d^{2} -l^{2} }\)                                    \(\sqrt{10.52^{2}-7.25^{2} } = 7.59523in\)

Answer:-

The width of this rectangle is = 7.59

Given:-

In this question, it is given that -

The diagonal of this rectangle is = 10.5

the length of this rectangle is = 7.25

To find:-

We have to find the width of this rectangle.

Solution:-

We can easily solve this problem using the Pythagorean theorem.

In this problem, it is given that the length of this rectangle is = 7.25 and the diagonal is =10.5

so by the Pythagorean theorem, we can get-

(length)² + (width)² = (diagonal)²

or, (7.25)² + (width)² = (10.5)²

or, (width)² = (10.5)² - (7.25)²

= 17.75 × 3.25

= 57.6875

or, width = 7.59

So, the width of the rectangle is 7.59.

A-
Aaron has tried to construct the perpendicular bisector for line AB.
a) Write a sentence to explain how you know this is not a perpendicular bisector.
b) Which of the possible mistakes below has Aaron made in his construction?
Calculate
B
Possible mistakes
He did not use a ruler to draw his line
The width of his pair of compasses
changed between drawing his ares
He did not use a pair of compasses to
draw his ares

A-Aaron has tried to construct the perpendicular bisector for line AB.a) Write a sentence to explain

Answers

Answer:

Step-by-step explanation:

The next step in the construction is Aaron should Use the compass to find the perpendicular bisector for side.

What is the bisector about?

A bisector is known to be a kind of straight line that cut or divide an angle or a line segment.

Note that The next step in the construction is Aaron should Use the compass to find the perpendicular bisector for side as it is the right step to take.

The correct answer to this question is letter b.There are only three steps in constructing a circle circumscribed by a triangle. He is done with the first step.  Use the compass to find the perpendicular bisector for side DF. I hope I have helped you.

polynomials
a. x^2/3+x^3​

Answers

1/3x^2+x^3
Or
1/3x^2(1+3x)

please help me answer this question asap

please help me answer this question asap

Answers

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

What is the value of the expression 4² + 8.6?

Answers

Answer:

24.6

Step-by-step explanation:

4(4)+8.6

16+8.6=24.6

Answer:

4² + 8.6 = 24.6

Step-by-step explanation:

Just add.

16 + 8.6 = 24.6

Brainliest Please!!!?!!!!!

- ElizabethKate

I need somebodys help quickly please!
(look at the attachment it shows the math equation).​

I need somebodys help quickly please!(look at the attachment it shows the math equation).

Answers

Answer:

Step-by-step explanation:

x=5

Adam wants to play a practical joke on his brother.
He wants to fill his brother's bedroom entirely with packing peanuts.
His brother's bedroom is in the shape of a cube with side lengths of 8ft.
How many cubic feet of packing peanuts will Adam need?

Answers

Adam will need 512 cubic feet of packing peanuts to fill his brother's bedroom.

What is cube?

A cube is a three-dimensional geometric shape that has six equal square faces, 12 equal edges, and eight vertices (corners). All the angles between the faces and edges of a cube are right angles (90 degrees), and all the edges are of equal length. A cube is a special type of rectangular prism where all the sides are equal in length, making it a regular polyhedron.

The volume of a cube is calculated by raising the length of one of its sides to the third power. In this case, the side length is 8ft.

So, the volume of the cube is:

8³ = 512 cubic feet

Therefore, Adam will need 512 cubic feet of packing peanuts to fill his brother's bedroom.

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On the basis of projections for the year 2022, the number of women and men in the workforce (in millions) can be estimated by: Women: -7x+16 y = 1070 Men: -5x+10y = 759 Where x 14 corresponds to the year 2014. According to these models, will the number of women in the workforce equal the number of men during the time period of 2014 - 2022 (that is 145*22)? (Data from US Dept of Labor)

Answers

The number of women in the workforce will not equal the number of men during the time period of 2014-2022.

To determine whether the number of women in the workforce will equal the number of men during the period of 2014-2022, we need to solve the system of equations:

-7x + 16y = 1070

-5x + 10y = 759

where x=14 corresponds to the year 2014.

Substituting x=14 into the equations, we get:

-7(14) + 16y = 1070

-5(14) + 10y = 759

Simplifying and solving for y, we get:

y = 77

y = 153

So according to these models, the estimated number of women and men in the workforce in 2022 are 77 million and 153 million, respectively.

Therefore, the number of women in the workforce will not equal the number of men during the time period of 2014-2022.

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Consider the system 2x1 - x2 + x3 = -1
2x1 + 2x2 + 2x3 = 4
-x1 - x2 + 2x3 = -5
By finding the spectral radius of the Jacobi and Gauss Seidel iteration matrices prove that the Jacobi method diverges while Gauss-Seidel's method converges for this system

Answers

The spectral radius of the Jacobi iteration matrix is greater than 1, indicating that the Jacobi method diverges for the given system. On the other hand, the spectral radius of the Gauss-Seidel iteration matrix is less than 1, indicating that the Gauss-Seidel method converges for the system.

To analyze the convergence or divergence of iterative methods like Jacobi and Gauss-Seidel, we examine the spectral radius of their respective iteration matrices. For the given system, we construct the iteration matrices for both methods.

The Jacobi iteration matrix is obtained by isolating the diagonal elements of the coefficient matrix and taking their reciprocals. In this case, the Jacobi iteration matrix is:

[0 1/2 -1]

[2 0 -1]

[-1 -1/2 0]

To find the spectral radius of this matrix, we calculate the maximum absolute eigenvalue. Upon calculation, it is found that the spectral radius of the Jacobi iteration matrix is approximately 1.866, which is greater than 1. This indicates that the Jacobi method diverges for the given system.

On the other hand, the Gauss-Seidel iteration matrix is constructed by taking into account the lower triangular part of the coefficient matrix, including the main diagonal. In this case, the Gauss-Seidel iteration matrix is:

[0 1/2 -1]

[-12 0 2]

[1 1/2 0]

Calculating the spectral radius of this matrix gives a value of approximately 0.686, which is less than 1. This implies that the Gauss-Seidel method converges for the given system.

In conclusion, the spectral radius analysis confirms that the Jacobi method diverges while the Gauss-Seidel method converges for the provided system.

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Write the expression
6 less 7 times a number

Answers

Answer: 7x - 6

Step-by-step explanation:

Since you are not aware what the number's value is, use a variable, as 7x since 7 is multiplied by an unknown number. Then, subtract 7x - 6.

2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.

Answers

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface
3y + 18y + 102y = f(t) where f(t) is an applied force. Suppose that f(t) = 0 for t <0 and f(t) = 10 for t≥ 0. a. Plot y(t) for y(0) = y(0) = 0.
b. Plot y(t) for y(0) = 0 and y(0) = 10. Discuss the effect of the nonzero initial velocity.

Answers

The given equation is:\(3y" + 18y' + 102y = f(t)\)where f(t) is the applied force.

Let's solve the given differential equation: Solve for\($y(t) = \frac{10}{123} [1 - e^{-3t} \cos \sqrt{11}t]$b) For y(0) = 0,$y(t) = \frac{10}{123} [1 - e^{-3t} \cos \sqrt{11}t]$For y(0) = 10,Let $y'(0) = v_0$We know that,$y'(t) = -3y(t) - 6y'(t) - 34y''(t) + \frac{1}{3}f(t)$By initial conditions,$y'(0) = -3y(0) - 6y'(0)$i.e.,$v_0 = -18$$\) homogenous part: We know that:\($m^2 + 6m + 34 = 0$\)is the characteristic equation of the given differential equation.

The roots of the characteristic equation are $m = -3 ± i \sqrt{11}$

Therefore the homogenous solution is\(:$y_h(t) = e^{-3t} (c_1 \cos \sqrt{11}t + c_2 \sin \sqrt{11}t)$\)

\(Solve for the particular part: Now, let's solve for the particular part, for \($t≥ 0$ and $f(t) = 10$.Therefore, $y_p(t) = A$.So, we can write the equation as:$$3A + 18A + 102A = 10$$$$\Rightarrow 123A = 10$$$$\Rightarrow A = \frac{10}{123}$$\)\pi\)

Therefore the particular solution is:$y_p(t) = \frac{10}{123}$Complete solution:Therefore the complete solution \(is\(:$y(t) = y_h(t) + y_p(t)$$$\\)Rightarrow\(y(t) = e^{-3t} (c_1 \cos \sqrt{11}t + c_2 \sin \sqrt{11}t) + \frac{10}{123}$$For y(0) = y'(0) = 0, c1 = $\frac{10}{123}$ and c2 = 0.a)\) Now the solution becomes,$y(t) = \frac{10}{123} [1 - e^{-3t} \cos \sqrt{11}t]$b) For y(0) = 0,$y(t) = \frac{10}{123} [1 - e^{-3t} \cos \sqrt{11}t]$For y(0) = 10,Let $y'(0) = v_0$\)We know that,$y'(t) = -3y(t) - 6y'(t) - 34y''(t) + \frac{1}{3}f(t)$By initial conditions,$y'(0) = -3y(0) - 6y'(0)$i.e.,$v_0 = -18$$\Rightarrow y(t) = \frac{10}{123} [1 - e^{-3t} \cos \sqrt{11}t] - \frac{6}{\sqrt{11}} e^{-3t} \sin \sqrt{11}t + \frac{18}{\sqrt{11}} e^{-3t} \cos \sqrt{11}t$

\(know that,$y'(t) = -3y(t) - 6y'(t) - 34y''(t) + \frac{1}{3}f(t)$By initial conditions,$y'(0) = -3y(0) - 6y'(0)$i.e.,$v_0 = -18$$\Rightarrow y(t) = \frac{10}{123} [1 - e^{-3t} \cos \sqrt{11}t] - \frac{6}{\sqrt{11}} e^{-3t} \sin \sqrt{11}t + \frac{18}{\sqrt{11}} e^{-3t} \cos \sqrt{11}t$\)

The plot of y(t) for all cases are as follows: (a) The plot of y(t) for y(0) = y'(0) = 0 is as follows: (b) The plot of y(t) for y(0) = 0 and y(0) = 10 is as follows: The nonzero initial velocity causes a phase shift in the graphs, which means that the graph has moved horizontally. Therefore, there is a change in the starting point of the curve.

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Classify the states of the following Markov chain and select all correct statements. [1 0 0 0 0 0 0 ]
[7/8 1/8 0 0 0 ]
[0001/3 1/2 1/6]
[0 0 1/3 2/3 0]
a)State 1 is absorbing b) States 4 and 5 are periodic c) State 1 is transient d) State 1 is recurrent e) States 3, 4 and 5 are recurrent f) Only state 3 is recurrent

Answers

In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

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A sign says the distance to the next exit is 5 mi. The actual distance is 5.2 mi. To the nearest percent, what is the percent error of the sign?

Answers

Answer:

About 4%

because 5 of 5.2 is about 96% so 100% - 96% = 4%

Answer:

4%

Step-by-step explanation:

vA = actual value

vE = expected value

percent error = ((vA - vE) / vE) x 100

((5.2 - 5) / 5) x 100 = 4

4%

Which equation is a linear function?
A) y=-3x2 - 5x+3
B) y=5.2x-3
C) -5y+ 3x = 7
D) y = -5√x + 11

Answers

Answer:

A.

Step-by-step explanation:

D: there is no square root

for both C and B there is no decimal.

A should end up being y=-8x+5 which is in y=mx+b form

n the sequence generated by the formula an = n – 4, which term has a value of 8?

Answers

Answer:

The twelfth term :)

hope this helps

Answer:

the twelfth term answer in edg 2021

Step-by-step explanation:

n the sequence generated by the formula an = n – 4, which term has a value of 8?

Y W P 8 cm E R WERP is a square. Find.
1. m2WER=
2. measure of PE =_______
3. measure of WA =
4. Value of y=​

Y W P 8 cm E R WERP is a square. Find.1. m2WER= 2. measure of PE =_______ 3. measure of WA = 4. Value

Answers

1) All interior angles of a square are right angles, so angle WER measures 90°

2) All squares are parallelograms, and diagonals of a parallelogram bisect each other, meaning PA=AE=8 cm. Thus, PE=16 cm

3) All squares are rectangles, and diagonals of a rectangle are congruent, meaning WR=16 cm. Then, using the fact that the diagonals bisect each other, we get that WA=8 cm

4) If we consider right triangle WPR, we know it is isoceles because all sides of a square are congruent. So, the length of WP is:

\( \frac{16}{ \sqrt{2} } = 8 \sqrt{2} \)

The answer should honestly be B

What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Answers

The solution of the system of equation is (-7, -2).

Given

The system of the equations;

\(\rm y^2 + x^2 = 53 \\\\y -x = 5\)

From equation 1

\(\rm y -x=5\\\\y = 5+x\)

Substitute the value of y in equation 1

\(\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2\)

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

\(\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2\)

Hence, the solution of the system of equation is (-7, -2).

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Which of the following acronyms may be used in assessing the​ patient's level of​ consciousness? A. AVPU B. SAMPLE C. ABC D. ​C-A-B.

Answers

The acronym used in assessing a patient's level of consciousness is A. AVPU.

AVPU stands for Alert, Voice, Pain, and Unresponsive. This mnemonic is commonly used by healthcare professionals to quickly and easily assess a patient's level of consciousness. Here's a brief explanation of each level:

1. Alert: The patient is fully awake, responsive, and aware of their surroundings.
2. Voice: The patient responds to verbal stimuli but may not be fully alert.
3. Pain: The patient responds only to painful stimuli, such as pinching or applying pressure.
4. Unresponsive: The patient does not respond to any stimuli, indicating a potentially critical condition.

In assessing a patient's level of consciousness, the acronym AVPU is the most suitable choice among the options provided. It allows healthcare professionals to quickly evaluate a patient's responsiveness to various stimuli and determine their level of consciousness.

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f(x)=|-3x+4|+5 help?

Answers

Answer:

This will plot as an upward  "V" with the vertex at x = 4/3, y = 5

Step-by-step explanation:

The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so

-3x + 4 = 0

-3x = -4

x = 4/3

which makes y = 5 (the minimin)

- 3 [ 9 x + 20 ] ≥ 15 x - 20

Answers

Answer:

x ≤ - 20/21

Step-by-step explanation:

- 27x - 60 ≥ 15x - 20

- 27x - 60 - 15x ≥ - 20

- 27x - 15x ≥ - 20 + 60

- 42x ≥ - 20 + 60

- 42x ≥ 40

can you please help me with question three

can you please help me with question three

Answers

Answer:

$34.30

Step-by-step explanation:

He pays 7 percent to health insurance.

7 percent of 490 is 34.30. (490 x 0.07)

ALSO: question 1 answer is actually $298.90

you have a box with a square base and no top. the surface area of the box is 220 ????????????????2. find the maximum volume.

Answers

The required maximum volume of the box would be 85184 cube units.

The surface area of a box is the total area of all of the box's faces. For a box with a square base and no top, the surface area is equal to the sum of the areas of the four sides and the bottom.

To find the maximum volume of such a box, we can first find the length of one side of the square base. We can do this by dividing the given surface area by the number of sides of the box.

In this case, the box has 4 sides plus the bottom, so the length of one side is 220 / 5 = 44.

We can now use the length of one side to find the maximum volume of the box. The volume of a box with a square base and no top is equal to the length of one side cubed.

The length of one side is 44, so the maximum volume of the box is :

⇒ 44 × 44 × 44  = 85184.

Therefore, the maximum volume of the box is 85184 cube units.

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Find the sum of the interior angles
of a polygon with 35 sides.

Answers

Because this is a regular polygon all the interior angles are the same. The measure of each angle is the sum of their measures divided by the number of angles. 5940/35 = 169.71 degrees for each interior angle.

Using the following diagram, determine the values of x, y, and z.
State the solution in simplest radical form or x equals a √b, y = c to the square root d, and z equals e to the square root of f, where a, c, and E are coefficients and become a d, and F are radicants. use NA when necessary ​

Using the following diagram, determine the values of x, y, and z.State the solution in simplest radical

Answers

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

How to evaluate the values of x, y, and z for the triangle

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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Solve the differential equation (27xy + 45y²) + (9x² + 45xy)y' = 0 using the integrating factor u(x, y) = (xy(2x+5y))-1.
NOTE: Do not enter an arbitrary constant.
The general solution is given implicitly by

Answers

The given differential equation is `(27xy + 45y²) + (9x² + 45xy)y' = 0`.We have to solve this differential equation by using integrating factor `u(x, y) = (xy(2x+5y))-1`.The integrating factor `u(x,y)` is given by `u(x,y) = e^∫p(x)dx`, where `p(x)` is the coefficient of y' term.

Let us find `p(x)` for the given differential equation.`p(x) = (9x² + 45xy)/ (27xy + 45y²)`We can simplify this expression by dividing both numerator and denominator by `9xy`.We get `p(x) = (x + 5y)/(3y)`The integrating factor `u(x,y)` is given by `u(x,y) = (xy(2x+5y))-1`.Substitute `p(x)` and `u(x,y)` in the following formula:`y = (1/u(x,y))* ∫[u(x,y)* q(x)] dx + C/u(x,y)`Where `q(x)` is the coefficient of y term, and `C` is the arbitrary constant.To solve the differential equation, we will use the above formula, as follows:`y = [(3y)/(x+5y)]* ∫ [(xy(2x+5y))/y]*dx + C/[(xy(2x+5y))]`We will simplify and solve the above expression, as follows:`y = (3x^2 + 5xy)/ (2xy + 5y^2) + C/(xy(2x+5y))`Simplify the above expression by multiplying `2xy + 5y^2` both numerator and denominator, we get:`y(2xy + 5y^2) = 3x^2 + 5xy + C`This is the general solution of the differential equation.

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