Pls help simplify fast

Answer: The differential equations is

y3 3x3logx = 8x3.

Step-by-step explanation:

break the given original- value problem. The DE is homogeneous. xy2dy/ dx = y3- x3; y( 1) = 2.

result

Given a homogenous discriminational equation, xy2 dy/ dx = y3- x3

xy2dy/ dx = y3- x3

dy/ dx = ( y3- x3)/ xy2

dy/ dx = (( y/ x) 3- 1)/( y2/ x2)---( 1)

Put y/ x = v ⇒ y = xv

separatew.r.t x

dy/ dx = x.dv/ dx v

Equation( 1) becomes,

⇒ dv/ dx v = ( v3- 1)/ v2

⇒ dv/ dx = (( v3- 1)/ v2)- v

⇒ dv/ dx = ( v3- 1- v3)/ v2

v2. dv = -1/x.dx

Integrate on both sides, we get

∫ v2. dv = ∫- 1/x.dx

v3/ 3 = - logx C

1/3( y3/ x3)) log x = C( 2)

Now, given that y( 1) = 2

Substituting y = 2 and x = 1 in equation( 2)

(1/3) ×(23/13)) log 1 = C

C = 8/3

From equation( 2), we get

⇒( y3/ 3x3) logx = 8/3

thus, the needed differential equation is y3 3x3logx = 8x3.

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The coordinates of the point is (17, 7)

From the question, we have the following parameters that can be used in our computation:

Point A = (2, 16)

Point B = (22, 4)

Ratio = 3/4

The ratio can be expressed as

m : n = 3 : 1

The coordinates of the point can be calculated as

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

Substitute the known values in the above equation, so, we have the following representation

Point = 1/(3 + 1) * (3 * 22 + 1 * 2, 3 * 4 + 1 * 16)

So, we have

Point = 1/4* (68, 28)

So, we have

Point = (17, 7)

Hence, the point is (17, 7)

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The equation to represent this scenario is  2x+4y = 100

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

The worth of x  number of multiple-choice questions = 2x

The worth of y  number of short-response questions = 4y

Assessment is worth 100 total points.

So,  the equation to represent this scenario is  2x+4y = 100

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Answer:

X=4 Y=28

Step-by-step explanation:

We have our two equations, 2x+4=12 and Y=4x+12
Solve for x of one of the equations so that the repeating (common) variable can be cancelled out.

Using 2x+4=12, we can solve for the x-value and replace it back into y.

2x+4=12
2x=8
x=4

We can replace our new x-value into the other equation, y=4x+12

y=4(4)+12
y=16+12
y=28

So x=4, and y=28

Answer:

B (7,-1)

Step-by-step explanation:

(7,-1) is 2 points away from (7,1).

(4,1) and (7,4) are both 3 points away. (11,1) is 4 points away.

That makes B (7,-1) the closest to (7,1)

Answer:  D. 58 degree

Step-by-step explanation:

A triangle has a total of 180 degrees

92 + 30 = 122 degree

180 - 122 = 58 degree

So, the answer is D. 58 degree

[tex]34\times3333333=n[/tex]

[tex]34\times3333333=113333322(n)[/tex]

[tex]n\times454=x[/tex]

[tex]113333322(n)\times454=x[/tex]

[tex]113333322(n)\times454=51453328188(x)[/tex]

[tex]\fbox{x = 51453328188}[/tex]

The equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x - y = 5 is 5y + x = -14.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

Point (6,-4),

2x - y = 5,

Calculate the slope as the line is perpendicular to line 2x - y = 5

m = 2

The slope of the line perpendicular, m = - 1 / 5

Calculate the equation of the line as shown below,

[tex]y - (-4) = - 1 / 5 (x - 6)[/tex]

5 (y + 4) = -x + 6

5y + 20 = -x + 6

5y + x = -14

Therefore, the equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x - y = 5 is 5y + x = -14.

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The complete question is:

What is an equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x - y = 5?

Answer:

8

Step-by-step explanation:

Based on the given conditions, formulate: 32 / 4 Cross out the common factor

Answer:

1. works

2. works

3. does not work

4. does not work

5. does not work because it does not exist

Step-by-step explanation:

if you have room on your paper, drawing a diagram would be super helpful.

I don't know if I'm 100% right so check with other people before submitting

Answer:The answers are A and B (AE =CE, BAE=CDE)

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Knowledge Needed

| | (absolute value) = Makes anything inside positive after solving.

A negative number multiplied or divided by another negative number is positive.

Question

Set up the equation

| -(-22) |

| 22 |

Stays positive.

22

Answer: 1/2

Step-by-step explanation:

:D

Answer:

-6

Step-by-step explanation:

2+(-8)=-6

Answer:

11$

Step-by-step explanation:

We will use simultaneous equation

X = hostas

Y = geraniums

6X + 6Y = 138 ----> (first equation)

6X + 4Y = 116 -----> (second equation)

(Substract)

6X + 6Y = 138

6X + 4Y = 116

2Y = 22

Y = 22/2

Y = 11$  

I hope my answer helps you.

The solution to the expression a⁴ + b⁴ is 641 when a = 2 and b = 5

From the question, we have the following parameters that can be used in our computation:

a = 2

b = 5

Also, from the question, we have

a^4 + b^4

Express the exponents in the above expression properly

So, we have the following representation

a⁴ + b⁴

Substitute the known values in the above equation, so, we have the following representation

a⁴ + b⁴ = 2⁴ + 5⁴

Evaluate the exponents

'This gives

a⁴ + b⁴ = 16 +625

Evaluate the sum

'This gives

a⁴ + b⁴ = 641

Hence, the solution is 641

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Complete question

Given that a = 2 and b = 5

WHAT IS a^4 + b^4

Answer:

Step-by-step explanation:

This has some significance in logic because if two propositions have the same truth table they are in a logical sense equal to each other – and we say that they are logically equivalent. So: ¬p∨(p∧q)≡p→q, or "Not p or (p and q) is equivalent to if p then q."

...

Logically Equivalent Statements.

p q p→q

F F T

The height of the building is 44 meters

From the question, we have the following parameters that can be used in our computation:

Height of the tree = 22 m

From the question, we understand that

Scale of the diagram = 2

This means that

Height of the building = Height of the tree * Scale of the diagram

Substitute the known values in the above equation, so, we have the following representation

Height of the building = 22 m * 2

Evaluate

Height of the building = 44 m

Hence, the height is 44 m

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Answer:

i think the answer is 2/5

Step-by-step explanation:

The function in this problem is defined as follows:

f(x) = 6x - 1.

Giving how many points a player is awarded when a dice of x is rolled.

The possible values at which the dice can land is up:

1,2,3,4,5,6.

Then the numeric values of the function are calculated replacing x by their values.

The only inputs that make sense are 1,2,3,4,5,6, as they are the values at which the dice can land. For example, a dice cannot land on neither 5.5 nor 10.

The function in this problem is defined as follows:

f(x) = 6x - 1.

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Answer: 0.6 hours

Step-by-step explanation:

      We will set up a proportion to help us solve.

[tex]\displaystyle \frac{1,500\; \;miles}{4.5\;\;hours} =\frac{200\;\;miles}{x\;\;hours}[/tex]

      Next, we will cross-multiply and solve by multiplying and using inverse operations.

1,500 * x = 200 * 4.5

1,500x = 900

x = 0.6 hours

Answer:

6

Step-by-step explanation:

Examine this sequence. What are the relations of these values?

Every time you increase 1 term in the sequence, divide by 2.

768/2 = 384

384/2 = 192

etc.

Write a geometric sequence formula.

[tex]a_n = a*r^(^n^-^1^)[/tex]

A is the starting value (768), and r is the common ratio, or what the value is being multiplied by to get the next term. N is the term, where you can plug it in. For the eighth value, plug in 8 for n.

768 * ? = 384

1/2

r = 1/2

[tex]a_n = 768 * 1/2^(^n^-^1^)[/tex]

For finding the eighth value, plug in 8 for n.'

[tex]768 * 1/2^(^8^-^1^)[/tex]

[tex]768 * 1/2^7[/tex]

768 * 0.0078125

6

The solutions for the number of pizzas p and hot dogs h is

a) A ( p , h ) = A ( 0 , 20 )

b) B ( p , h ) = B ( 3 , 15 )

c) C ( p , h ) = C ( 6 , 10 )

d) D ( p , h ) = D ( 9 , 5 )

e) E ( p, h ) = E ( 12 , 0 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of pizza be = p

Let the number of hot dog = h

The cost of one pizza be = $ 2.50

The cost of one hot dog = $ 1.50

Now , the total amount with Melanie = $ 30

So , the equation will be

2.50p + 1.50h = 30

On simplifying the equation , we get

2.5p + 1.5h = 30   be equation (1)

Multiply equation (1) by 10 , we get

25p + 15h = 300

Now , the values of p and h which will satisfy the equation is

a)

Let p = 0 , h = 20

The equation is 25p + 15h = 300

Substitute the value of p and h , we get

25 ( 0 ) + 15 ( 20 ) = 300

300 = 300

So , the point A ( 0 , 20 ) satisfies the equation

b)

Let p = 3 , h = 15

The equation is 25p + 15h = 300

Substitute the value of p and h , we get

25 ( 3 ) + 15 ( 15 ) = 300

75 + 225 = 300

300 = 300

So , the point B ( 3 , 15 ) satisfies the equation

c)

Let p = 6 , h = 10

The equation is 25p + 15h = 300

Substitute the value of p and h , we get

25 ( 6 ) + 15 ( 10 ) = 300

150 + 150 = 300

300 = 300

So , the point C ( 6 , 15 ) satisfies the equation

d)

Let p = 9 , h = 5

The equation is 25p + 15h = 300

Substitute the value of p and h , we get

25 ( 9 ) + 15 ( 5 ) = 300

225 + 75 = 300

300 = 300

So , the point D ( 9 , 5 ) satisfies the equation

e)

Let p = 12 , h = 0

The equation is 25p + 15h = 300

Substitute the value of p and h , we get

25 ( 12 ) + 15 ( 0 ) = 300

300 = 300

So , the point E ( 12 , 0 ) satisfies the equation

Hence , The solutions for the number of pizzas p and hot dogs h is

a) A ( p , h ) = A ( 0 , 20 )

b) B ( p , h ) = B ( 3 , 15 )

c) C ( p , h ) = C ( 6 , 10 )

d) D ( p , h ) = D ( 9 , 5 )

e) E ( p, h ) = E ( 12 , 0 )

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After solving the equation, the value of A will be equal to 16 and the value of B will be equal to 28.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the provided data in the question,

The given equation is,

A + B = 44

Given ratio A:B = 4:7

Let the value of A = 4x and value of B = 7x

4x + 7x = 44

11x = 44

x = 4

A = 4x

A = 4(4) = 16

B = 7x

B = 7(4) = 28.

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The value of expression in terms of y is y = (v-j-82)/62

Numbers, symbols and operators (such as and times) grouped together that show the value of something.

Given that an expression v-(j+y)=61y+82

Solving for y,

v-(j+y)=61y+82

v-j-y = 61y+82

v-j-82 = 61y+y

v-j=92 = 62y

y = (v-j-82)/62

Hence, The value of expression in terms of y is y = (v-j-82)/62

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Answer:

1, 54, 9, 90

Step-by-step explanation:

3ft=27$, so 1ft=9$. The constant of proportionality is 9 from feet to money so multiply the rest by 9 to get 54, divide backwards to get 9, and then multiply 10 by 9 to get 90.

Answer:

Length : 6 9 10

Cost ($) :54 81 90

Step-by-step explanation:

First, divide 27 by 3 to find the cost of 1 feet fence.

We get the answer 9

Then, to find the length, divide the cost by 9

And to find the cost, multiply the length of fence with 9.

Simple!

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The value of x for the given figure will be equal to √212.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Apply the Pythagorean theorem for the first triangle,

H² = x² - 6²

Apply the Pythagorean theorem for the second triangle,

B² = 27² - x²

Apply the Pythagorean theorem to the third triangle,

H² = 27² - x² - 21²

H² = -x² + 288

x² - 6² = -x² + 288

2x² = 424

x² = 212

x=√212

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The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.

Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:

v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2

wherein dd and hh are capabilities of time tt, this means that that:

2hdfrac = 2ddfrac2h dtdh =2d dtdd

Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:

300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred

We're inquisitive about the price of extrade of the real distance dd so we have:

begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec

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The equation of a parabola with vertex at (0, 0) and axis of symmetry along the y-axis is of the form y = ax^2. The parabola passes through the point (-1, 1), so we can set up the following equation:

y = a * x^2

1 = a * (-1)^2

Solving for a, we get a = 1. Therefore, the equation of the parabola is y = x^2.

Answer:

  b = -2.875

Step-by-step explanation:

You want the value of b such that (-2, 10) is a point on the graph of g(x)= 5/x −bx²+1.

Fill in the given values and solve for b.

  g(-2) = 10

  5/(-2) -b(-2)² +1 = 10

  -2.5 -4b +1 = 10

  -4b = 11.5

  b = -11.5/4

  b = -2.875

Answer:

10/3

Step-by-step explanation:

6 × 5 ÷ 9 = 30/9

However, you will realize that the numerator (30) and denominator (9) both are multiples of 3. That means we can divide the numerator and denominator by 3 to get an equivalent fraction:

(30 ÷ 3)/(9 ÷ 3) = 10/3

Therefore, the answer is 10/3