PLEASE HELP SOLVE X AND Y

GIVING 100 POINTS

The solution to the homogenous differential equation, (11y² - xy)dx + x²dy = 0, is [tex]y = \frac{x}{11 ln (x) + C}[/tex].

A homogeneous differential equation has a homogeneous function as one of its components, if f(λx, λy) = λⁿf(x, y), for any non-zero constant λ, the function is said to be homogenous. The homogeneous differential equation's generic form is of the type f(x, y).dy + g(x, y).dx = 0. The degree of the homogeneous differential equation is the same for the equation's variables x and y.

In the question, we are asked to solve the homogeneous differential equation, (11y² - xy)dx + x²dy = 0.

The given equation can be solved as follows:

Thus, the solution to the homogenous differential equation, (11y² - xy)dx + x²dy = 0, is [tex]y = \frac{x}{11 ln (x) + C}[/tex].

The provided question is incomplete. The complete question is:

"Use the method for solving homogenous equations to solve the following differential equation.

(11y² - xy)dx + x²dy = 0".

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The standard error of the estimate of average height in the city is 0.25.

Given average height 64 inches, sample mean and sample standard deviation of 4 inches.

We have to determine the standard error of the estimate of the average height in the city.

Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.

n=256

μ=mean

s = sample standard deviation

Standard error=s/[tex]\sqrt{n}[/tex]

=4/[tex]\sqrt{256}[/tex]

=4/16

=0.25

Hence the standard error of the estimate of the average height is 0.25.

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Answer:

The distance between the points (4,3) and (1,-1) is C. 5 units.

Step-by-step explanation:

The proofing of the triangle is illustrated below.

AB = c

BC = a

AC = b

h² = b² - x²

h² = a² - y²

a² - y² = b² - x²

a² = b² - x² + y²

Note that x = c - (c - x) = c

a² = b² - (-x)² + y²

a² = b² + c² + y²

Cos A = x/b

cos = adjacent/hypothenuse

x = bcosA

a² = b² + c² - 2bx

a² = b2 + c² - 2bccosA

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Answer:

8 ×10=80

Step-by-step explanation:

because 1 time

8

10 times

add so

90

less

so that's it

80

The number of feet of wood that is needed is given as 35 feet of wood.

We have to do this through the use of pythagoras theorem

a² = b² + c²

8² + 6²

a = √100

= 10

4² + 6²

= 52

a = √52

Then we would have

10 + 10 + √52 + √52

= 34.42

This is approximately 35 feet

The feet of wood that is needed is given as 35 feet

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Answer:

The number of feet of wood that is needed is given as 35 feet of wood

Step-by-step explanation:

I just did it on E2020 and got it right

The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.

It follows from the task content that the first and last numbers are; 12 and 60 respectively.

Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,

It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.

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No, 1775 dollars cannot buy 2 large balloons and 16 small balloons if helium costs $1.60 per cubic foot.

Calculating the Costs of Balloons

It is given that,

Helium costs $1.60 per cubic foot.

Volume of one large balloon = 300 cubic feet

Thus, the price of one large balloon = $1.60 × 300

= $480

Volume of one small balloon = 40 cubic feet

Thus, the price of one small balloon = $1.60 × 40

= $64

How much buying 2 large and 16 small balloons costs?

So, as calculated above,

One large balloon costs $480, and one small balloon costs $64

Therefore, the cost of two large balloons = $480 × 2

= $960

Cost of 16 small balloons = $64 × 16

= $1024

Total cost of balloons = $960 + $ 1024

= $1984

Since, $1984>$1775,

Therefore, $1775 cannot buy all those balloons if helium costs $1.60 per cubic foot.

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Answer:

57pi

Step-by-step explanation:

First, let's get the area of the entire circle, including the shaded region:

pi*(8+3)^2 = 121pi

Next, let's get the area of the unshaded circle

pi*8^2 = 64pi

If we subtract the inner circle from the full circle, we get the shaded region:

121pi-64pi =

57pi

Answer: 57π

Step-by-step explanation:

You have to calculate the area of the whole circle created by the sum of the inner circle and the ring, so 8+2=11=r, now use the formua for getting area of a circle, π*r², which is "121π"

After that, subtract the area of the inner circle (its area is π*8²)

So 121π-64π = 57π

Answer:

21655

Step-by-step explanation:

minus the values

The intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)

The function is given as:

7x-5=4y-6

Set y = 0 to determine the x-intercept

7x - 5 = -6

Add 5 to both sides

7x = -1

Divide by 7

x = -1/7

Set x = 0 to determine the y-intercept

- 5 = 4y - 6

Add 6 to both sides

4y = 1

Divide by 4

y = 1/4

Hence, the intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)

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Ms. Drake will earn [tex]\$ 170[/tex] in this time from the investment of [tex]\$ 1000[/tex] at a simple interest with rate of interest [tex]8.5\%[/tex]

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is [tex]\frac{principal \times rate \ of \ interest \times time}{100}[/tex]

Given principal of Ms. Drake is [tex]\$1000[/tex]

Rate of interest is [tex]8.5 \%[/tex]

Time is [tex]2[/tex] years.

Interest [tex]=\frac{1000 \times 8.5 \times 2}{100}[/tex]

            [tex]=\frac{17000}{100}\\=170[/tex]

Therefore, Ms. Drake will earn [tex]\$ 170[/tex] in this time.

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The measure of BC from the figure shown is 26

A line is the distance between two points. From the given line AC;

AC = AB + BC

Given the following parameters

AC = 8x - 20

AB = 3x - 1

Required
Length BC

Substitute

8x-20 = 3x-1 + BC
BC = 8x-20 -(3x - 1)

BC = 8x - 20 - 3x + 1

BC = 5x - 19

Since  B is the midpoint of AC, then;

AB = BC
3x - 1 = 5x - 19

-2x = -18

x = 9

Determine the length of BC

BC = 5(9) - 19
BC = 45 - 19
BC = 26

Hence the measure of BC from the figure shown is 26

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The true statement for h regarding the function is  that C. h(2) = 16.

From the information given, the function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25.

This illustrates that the range or h has to be less than or equal to 25.

The option that correctly fits this is C.

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Answer:

Undefined

Step-by-step explanation:

No multiplicative inverse exists for 0

Answer:

undefined

Step-by-step explanation:

a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined.

Answer:

a₁₀ = 32

Step-by-step explanation:

the sequence is arithmetic since there is a count on , a common difference

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₂ = 8 and a₅ = 17 , then

a₁ + d = 8 → (1)

a₁ + 4d = 17 → (2)

subtract (1) from (2) term by term to eliminate a₁

3d = 9 ( divide both sides by 3 )

d = 3

substitute d = 3 into (1)

a₁ + 3 = 8 ( subtract 3 from both sides )

a₁ = 5

Then

a₁₀ = 5 + (9 × 3) = 5 + 27 = 32

The pounds of pressure needed to reach a fire 50 feet away is 48 pounds

d = 1/2n + 26

where

If d = 50 feet

d = 1/2n + 26

50 = 1/2n + 26

50 - 26 = 1/2n

24 = 1/2n

n = 24 ÷ 1/2

n = 48 pounds

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W

a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.

quick answer: (5x3)3 + (4y4)3

please hit the like button if it is correct :D

Answer:

  yes

Step-by-step explanation:

The point can be demonstrated to lie on the circle by plotting both on a graph. It can also be shown to lie on the circle by showing the distance from center is equal to the radius.

The attachment shows a graph of the circle. Its equation is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

We have (h, k) = (2, 13) and r = 5, so the equation is ...

  (x -2)² +(y -13)² = 25 . . . . graphed equation

The point in question is also graphed, and is shown to lie on the circle.

If the given point satisfies the circle's equation, it lies on the circle.

For (x, y) = (-2, 10), we find ...

  (-2 -2)² +(10 -13)² = (-4)² +(-3)² = 16 +9 = 25 . . . . . the equation is satisfied

The number of degrees that the direction of the boat change when it made its first turn is 39°.

From the information given, we would use the cosine function to solve the information.

This will be:

18² = 28² + 25² - 2(28)(25)(cos x)

324 = 784 + 625 - 1400cosx

x = 39.19

Therefore, the value is 39°.

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Answer:

Hello,

Step-by-step explanation:

here is the answer in a picture.

Answer:

(っ◔◡◔)っ ♥ the answer is C ♥

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Geometric sequence is when, during each successive number, a constant is being multiplied. In answer choice A, each number is getting multiplied by 3, so it is a geometric sequence.

The area of the shaded circle is given as follows: 84.82 cm².

The area of a circle of radius r is given by pi multiplied by the radius squared, as given by the formula presented next:

[tex]A = \pi r^2[/tex]

In this problem, we have that the important data is given in the bullet-points as follows:

Hence the shaded area in cm² can be found a applying the formula given at the beginning of this problem, as is presented below:

[tex]A = 0.75\pi \times 6^2 = 84.82[/tex]

The multiplication by 0.75 happened because as stated in the bullet point, the shaded area corresponds to only 75% of the entire circle.

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If CD is perpendicular on AB then the x intercept of CD is (17,0).

Given that CD is perpendicular on AB and passes through C(5,12) and the coordinates of A and B are  (-10,-3), (7,14).

When two lines are perpendicular on other line then the product of their slopes is equal to -1.

It is given that CD is perpendicular on AB. So we need to first calculate the slope of AB.

Slope=[tex](y_{2} -y_{1} /x_{2} -x_{1} )[/tex]

Slope of AB=(14+3/7+10)

=(17/17)

=1

According to rule product of slopes of AB and CD should be -1.

So the slope of CD will be -1.

Now we have to form equation of CD from slope -1 and point (5,12).

y-12=-1(x-5)

y-12=-x+5

x+y-17=0

We have to find out x intercept.

We know that x intercept is a point where the line touches x axis. So here the value of y =0.

x+y-17=0

put the value of y=0.

x+0-17=0

x=17

Point will be (17,0)

Hence the x intercept of CD will be (17,0).

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Question is incomplete as it should include in its beginning that CD is perpendicular on AB.

Answer:

BT = 18, DA = 6

Step-by-step explanation:

- EBT and SDA are similar triangles

- EBT has a perimeter of 63

- SDA has a perimeter of 21

- BT = 6x

- DA = x+3

We know that EBT has side lengths that are three times bigger than the side lengths of SDA since 63 = 21 x 3.

so

6x is equal to 3(x+3).

6x = 3x + 9

3x = 9

x = 3

Now we know that:

BT = 18

and

DA = 6

The recursive formula of the geometric sequence is [tex]b(1) = -0.25[/tex], [tex]b(n) = b(n-1)\cdot 8[/tex]

The sequence is given as:

[tex]-0.25\,,-2\,,-16\,,-128,..[/tex]

The first term of the above sequence is

[tex]b(1) = -0.25[/tex]

Calculate the common ratio using

r = b(2)/b(1)

So, we have:

r = -2/-0.25

Evaluate

r = 8

So, we have:

[tex]b(n) = b(n-1)\cdot 8[/tex]

Hence, the recursive formula of the geometric sequence is [tex]b(1) = -0.25[/tex], [tex]b(n) = b(n-1)\cdot 8[/tex]

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Complete question

Complete the recursive formula of the geometric sequence

[tex]-0.25\,,-2\,,-16\,,-128,..[/tex]

[tex]b(1) =[/tex]

[tex]b(n) = b(n-1)\cdot[/tex]

A visit must be of at least 56.33 minutes to put a shopper in the longest 20 percent.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula. In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

How long must a visit be to put a shopper in the longest 20 percent?

Here [tex]\mu=41.8 , \sigma=17.3[/tex]

The 100-20=80th percentile, which is X when Z has p-value of 0.8, so Z=0.84

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

[tex]0.84=\frac{X-41.8}{17.3}[/tex]

14.532=X-41.8

X=14.532+41.8

X=56.33

A visit must be of at least 56.33 minutes to put a shopper in the longest 20 percent.

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The area covered by the advertisement on the page is [tex]ab \ unit^2[/tex].

The area of a rectangle covers is the space it takes up inside the boundaries of its four sides. The dimensions of a rectangle determine its area. In general, the area of a rectangle is equal to the product of its length and breadth of the rectangle.

The formula of area of rectangle is [tex]length \times breadth[/tex] [tex]unit^2[/tex]

let the given page represents a rectangle.

We take the length of the advertisement is [tex]a[/tex] unit and breadth of the advertisement is [tex]b[/tex] unit.

The area of the advertisement [tex]=a \times b \ unit^2[/tex]

                                                   [tex]=ab \ unit^2[/tex]

Therefore, the area covered by the advertisement on the page is [tex]ab \ unit^2[/tex]

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