can you help me to solve this​

9514 1404 393

Answer:

Step-by-step explanation:

A circle is a plane figure, so the descriptor "in a plane" is part of the definition. The notion of "surrounding" is not defined, so does not specify any particular relationship.

The appropriate definition is ..

  the set of all points in a plane that are the same distance from a given point called the center

Use reduction of order. Given a solution [tex]y_1(x) = x^2[/tex], look for a second solution of the form [tex]y_2(x) = y_1(x)v(x)[/tex].

Compute the first two derivatives of [tex]y_2(x)[/tex]:

[tex]y_2 = x^2v \\\\ {y_2}' = x^2v' + 2xv \\\\ {y_2}'' = x^2v''+4xv' + 2v[/tex]

Substitute them into the ODE:

[tex]x^4 (x^2v'' + 4xv' + 2v) + x^3 (x^2v' + 2xv) - 4x^2 (x^2v) = 1 \\\\ x^6v'' + 5x^5v' = 1[/tex]

Now substitute [tex]w(x) = v'(x)[/tex] and you end up with a linear ODE:

[tex]x^6w'+5x^5w=1[/tex]

Multiply through both sides by [tex]\frac1x[/tex] (if you're familiar with the integrating factor method, this is it):

[tex]x^5w'+5x^4w = \dfrac1x[/tex]

Bear in mind that in order to do this, we require [tex]x\neq0[/tex]. Just to avoid having to deal with absolute values later, let's further assume [tex]x>0[/tex].

Notice that the left side is the derivative of a product,

[tex]\left(x^5w\right)' = \dfrac1x[/tex]

Integrate both sides with respect to [tex]x[/tex] :

[tex]x^5w = \displaystyle \int\frac{\mathrm dx}x \\\\ x^5w = \ln(x) + C_1[/tex]

Solve for [tex]w(x)[/tex] :

[tex]w = \dfrac{\ln(x)+C_1}{x^5}[/tex]

Solve for [tex]v(x)[/tex] by integrating both sides:

[tex]v = \displaystyle \int \frac{\ln(x)+C_1}{x^5} \,\mathrm dx[/tex]

Integrate by parts:

[tex]\displaystyle f = \ln(x) + C_1 \implies \mathrm df = \frac{\mathrm dx}x \\\\ \mathrm dg = \frac{\mathrm dx}{x^5} \implies g = -\frac1{4x^4} \\\\ \implies v = -\frac{\ln(x)+C_1}{4x^4} + \frac14 \int \frac{\mathrm dx}{x^5} \\\\ v = -\frac{\ln(x)+C_1}{4x^4} - \frac1{16x^4} + C_2 \\\\ v = -\frac{4\ln(x)+C_1}{16x^4}+C_2[/tex]

Solve for [tex]y_2(x)[/tex] :

[tex]\displaystyle \frac{y_2}{x^2} = -\frac{4\ln(x)+C_1}{16x^4}+C_2 \\\\ y_2 = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2[/tex]

But since [tex]y_1(x)=x^2[/tex] is already accounted for, the second solution is just

[tex]\displaystyle y_2 = -\frac{4\ln(x)+C_1}{16x^2}[/tex]

Still, the general solution would be

[tex]\displaystyle \boxed{y(x) = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2}[/tex]

Answer:

Order of Operations was aught at a younger age for those just grasping the idea of multiplication and division. Exposing PEMDAS at a young age would confuse them too much, hence the order of operation groups, addition/subtraction and multiplication/division. So for the second example problem, PEMDAS would be correct because it does involve you to use parentheses as well as exponents to solve for. Very easy to mix up between order of operations and PEMDAS, but just look at it as if Order of operations is a beginner level of PEMDAS.

Step-by-step explanation:

Step-by-step explanation:

Area= 13.86 cm²

πr²= 13.86 cm²

r= √13.81 ×7/22

r= 2.1 cm

Circumference= 2πr

= 2 × 22 × 2.1 / 7

=13.2 cm

Answer:

circumference is the outside area of a circle

area of the circle is the inside area

Answer:

Ice can exist at 32°F and at -34°C since they freeze at those temperature points.

Answer:

Step-by-step explanation:

It could exist at -4oC degrees and - 8oC degrees. It could exist anywhere between 0 and - 100 . All numbers are randomly chosen. The point is that they are minus.

Answer:

240m^3

Step-by-step explanation:

Volume = length x width x height.

5x12x4= 240

9514 1404 393

Answer:

  0

Step-by-step explanation:

Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)

Answer:

Step-by-step explanation:

The next step is the result of calculating the square roots:

and

This will make the step:

Correct choice is B

eksponent

—

[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]

[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]

[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]

[tex] = 4 + 6 \times \sqrt{3} [/tex]

[tex] = 4 + 6 \sqrt{3} [/tex]

Answer:

45820

Step-by-step explanation:

the "10" means adding 1 zero to "4582" in place value

Hundred Thousand= 4

Thousand= 5

Hundred= 8

Tens= 2      

Units= 0

Step-by-step explanation:

I have attached pictures. Hopefully they are visible.

:)

Answer:

Slope = 3

y-intercept: - 7

y = 3x -7

Step-by-step explanation:

9514 1404 393

Answer:

  a) 0.8

  b) 0.05

  c) 0.01875

Step-by-step explanation:

The denominator will need to have equal powers of 2 and 5 to be a power of 10.

a) 4/5 = (4/5)(2/2) = 8/10 = 0.8

__

b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05

__

c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875

Answer:

The choose A.

[tex]250 {x}^{3} - 16 \\ 2(5x - 2)(25 {x}^{2} + 10x + 4)[/tex]

I hope I helped you^_^

Answer:

Hence, total surface area of the pyramid is 360 cm².

Step-by-step explanation:

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L²=H²+(s/2)²=122+(10/2)²=122+5²

=144+25=169⇒

L=(169)^1/2=13

The perimeter of the base is P=4s, since it is a square, therefore, 

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=1/2Pl=1/2×40×13=260 cm²

Now, the area of the base B=s² with s=10 cm is:

B=s²=10²=100 cm²

The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:

TSA=1/2Pl+B=260+100=360 cm²

Hence, total surface area of the pyramid is 360 cm².

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

========================================================

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

---------------------

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

Answer:

17 Ans is -3/7

Step-by-step explanation:

Let ( x1,y1)=(-3,8)

(X2,y2)=(-17,14)

By the formula,

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

=14-8/-17+3

=6/-14

=-3/7

Do others with same steps and process

Answer:

Can you put a fraction. It is 1/3

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Yeah, don't know how to explain :/

Answer:

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|c}day&1&2&3&4\\----&-----&-----&-----&-----\\Mary&\frac{1}{8} &\frac{2}{8} &\frac{3}{8} &\frac{4}{8} \\Assis&\frac{1}{12} &\frac{2}{12} &\frac{3}{12} &\frac{4}{12} \\Sum&\frac{1}{8}+\frac{1}{12}&\frac{2}{8}+\frac{2}{12}&\frac{3}{8}+\frac{3}{12}&\frac{4}{8}+\frac{4}{12}\\part&\frac{5}{24}&\frac{10}{24}&\frac{15}{24}&\frac{20}{24}=\boxed{\frac{5}{6}}\\----&-----&-----&-----&-----\\\end{array}[/tex]

The fraction of the catalog that is checked after 4 days is 5/6

If Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

Fraction is a combination of numerator and denominator. The number above division sign is known as numerator and the number below the division sign is known as denominator. It is in p/q form in which q cannot be equal to 0.

let the catalog contains 100 things.So in this way ,

In 1 day Mary does 100/8 things completed and her assistant does 100/12 things completed in 1 day.

So in four days they will complete =100*4/8+100*4/12

=400/8+400/12

=(4800+3200)/96

=8000/96

=1000/12

Hence if Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

Answer:

so i think answer of this quiestion is option D

Answer:

On the pic

Step-by-step explanation:

Sorry if my handwriting is bad

The fraud triangle is used to model the causes of frauds in an organization or company.

The scenario in her wife's company shows that the fraud leg that applies to Jessica is pressure.

From the question, we understand that:

Financial trouble as used in the question implies that her wife's company are in debts or mismanagement.

This means that Jessica is under pressure to commit fraud in her own company in other to assist her wife's company.

Hence, the leg of the Fraud Triangle best applies to Jessica's situation is pressure

Read more about fraud triangle at:

https://brainly.com/question/15108051

Answer:

The answer is 52%

ssmoga membantu

Answer:

In total she will pay $615.60

Step-by-step explanation: Because 8% of 570 is 45.60 and if you add 45.60 to 570 you get 615.60.

[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]

[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]

Answer:

All integers have only one cube root.

Because it is an inverse of an odd degree (3) exponent.

And

9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

Answer:

122.6875 (122 ft 8.25 in)

Step-by-step explanation:

12 ft 7in = 151 in

9 ft 9 in = 117 in

151 x 117 = 17667

17667in = 122 ft and 8.25 in = 122.6875 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

5 walnuts = 4 cups of pecans

8 walnuts = 9 cups of pecans

Answer:

10 cups of pecans.

Step-by-step explanation:

The ratio between pecans and walnuts are:   [tex]\frac{4}{5}[/tex]×8

So if we make a smaller batch with 1 cup of walnuts, we will need [tex]\frac{4}{5}[/tex] cup of pecans.

So for 8 cups of walnuts, we will need [tex]\frac{4}{5}[/tex] x 8 = 6,4 cups or [tex]6 \frac{2}{5}[/tex] cups of pecans.

I'm vietanh and good luck studying!

Answer:

Step-by-step explanation:

The number of different ways there for him to order the different steps of his morning routine will be 5040.

The arrangement of the different things or numbers in a number of ways is called the combination.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

It is given that every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie. Knut always takes his shower last.

The arrangement will be calculated as below:-

The number of the activities is 7.

The number of ways = 7!

The number of ways = ( 7x 6 x 5 x 4 x 3 x  2 )

The number of ways = ( 5040 ).

Therefore, the number of different ways there for him to order the different steps of his morning routine will be 5040.

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ2

Answer:

292

Step-by-step explanation:

73 students in 1 group

4 groups all together

73 Students times 4 groups = amount of students all together

so 73x4=292