Giải phương trình : y' - xy = x^{3} + x. Điều kiện y(1) = 1

Answer:

Step-by-step explanation:

Answer:

B, if you have any questions how I did anything, or questions in general, let me know.  

Step-by-step explanation:

First you want to make sure you understand distributing.  Just using variables I will show how to districute a similar expression.

(a - b)(c + d - e)

There are several ways to think of it.  you could treat (a-b) as one term and distribute it into c + d - e like this.  pretend (a- b) = x

x(c + d - e) = cx + dx - ex = c(a-b) + d(a-b) - e(a-b)

Then just do a bit more distributing, then combine like terms.

You could instead make (c + d - e) a single term and distribute that into (a-b)

I prefer doing it all in one step, similar to FOIL-ing.  Take the first term of one of the expression in parenthesis and distribute it, then move on to the second and so on.

so with (a - b)(c + d - e) I would start with a and distribute that into (c + d - e) and get ac + ad - ae then do the same to -b and get -bc - bd + be then you add the two parts together. ac + ad - ae + -bc - bd + be = ac + ad - ae -bc - bd + be.  Then you would combine like terms.  Let me know if you need help with that.  

Anyway, now for your problem.  Keep in mind you can use any of the methods.

(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)

First distribute 2x^2 into (4x^4 + 6x^2y^2 + 9y^4)

8x^6 + 12x^4y^2 + 18x^2y^4

Next distribute -3y^2 into (4x^4 + 6x^2y^2 + 9y^4)

-12x^4y^2 - 18x^2y^4 - 27y^6

Now add the two together.

8x^6 + 12x^4y^2 + 18x^2y^4 + -12x^4y^2 - 18x^2y^4 - 27y^6 = 8x^6 + 12x^4y^2 + 18x^2y^4 - 12x^4y^2 - 18x^2y^4 - 27y^6

Finally combine like terms.

12x^4y^2 - 12x^4y^2 = 0

18x^2y^4 - 18x^2y^4 = 0

So that leaves us with 8x^6 - 27y^6

B is the only answer that works, none of the other 3 can be simplified or adjusted to make them equal what we need, so B is the only right answer.  

If you have any questions though let me know.

Answer:

Step-by-step explanation:

Charlie has $27

He spent $3 for kid's meal for his little brother

Remaining money=27-3=$24

Number of Sandwiches he wants to buy = 6

Money he needs to pay for each sandwich = 24/6 = $4

Answer:

a) Answer: $4 or less

b) Inequality: 6x + 3 ≤ 27

Step-by-step explanation: took the quiz and got it right!

Answer:

cscθ = 5/4, secθ = 5/3

Step-by-step explanation:

First, let's view the drawing that I have attached, with the dot in the bottom left representing the origin. We know that cosecant and secant are the reciprocals of sin and cos respectively, and in order to find sin and cos, we must find the opposite, adjacent, and hypotenuse sides. The hypotenuse is opposite the right angle, equal to √(8²+6²) = 10

Next, we can find sin and cos of θ . sinθ = 8/10=4/5, making cscθ the reciprocal of 4/5, or 5/4

Similarly, cosθ = 6/10=3/5, and secθ = 5/3

Answer:

[tex]\frac{1}{240} = 0.0042[/tex] = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

Drake then Todd, so only one outcome, which means that [tex]D = 1[/tex]

Total outcomes:

Two students from a set of 16, so:

[tex]T = P_{16,2} = \frac{16!}{14!} = 16*15 = 240[/tex]

What is the probability that the first 2 presentations will be by Drake and Todd, in that order?

[tex]p = \frac{D}{T} = \frac{1}{240} = 0.0042[/tex]

[tex]\frac{1}{240} = 0.0042[/tex] = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.

9514 1404 393

Answer:

Step-by-step explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

  x = 180° -100° = 80°

__

The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

  y = 40°

__

The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

  100° = 40° +z

  z = 100° -40° = 60°

Answer:

60

Step-by-step explanation:

Since the sides are equal, the angles have to be equal

The angles of a triangle add to 180

180/3 = 60

Angle A = 60

Answer:

60

Step-by-step explanation:

Because each side is equal the angles are as well, therefore the angles must add up to 180

180/3=60

Answer:

30.64 inches

Step-by-step explanation:

use Pythagoras theoryum to find the width:

11²=121

121-9²=40

√40=6.32

perimeter is all sides added together so:

6.32+6.32+9+9=30.64

Answer:

x = [tex]\frac{1}{3}[/tex]   y = -1

Step-by-step explanation:

x = 0 to solve for y

[tex]y=3x-1[/tex]

[tex]y=3(0)-1[/tex]

[tex]y=-1[/tex]

y = 0 to solve for x

[tex]y=3x-1[/tex]

[tex]0=3x-1[/tex]

Add 1 to both sides

[tex]1=3x[/tex]

Divide by 3 to isolate x

[tex]\frac{1}{3} =x[/tex]

Answer:

To find the variance just take the second moment and subtract that from the first moment squared

To find the standard deviation just take the square root of the variance

Step-by-step explanation:

1. [tex] \: {7}^{1} [/tex]

➺ [tex]\boxed{\: 7 }[/tex]

2. [tex] \: {4}^{0} [/tex]

➺ [tex]\boxed{ \: 1 }[/tex]

( ∵ any number to the power of 0 is 1. )

3. [tex] \: {6}^{ - 1} [/tex]

➺ [tex] \: \frac{1}{6} [/tex]

[tex]( \: ∵ {a}^{ - 1} = \frac{1}{a} )[/tex]

➺ [tex]\boxed{ \: 0.1667 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle, of length l and height h, is given by:

[tex]A = lh[/tex]

The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet.

This means that [tex]l = 16.5, h = 8.625[/tex]

Estimate of the area:

To use an "easy" multiplication, lets consider [tex]l = 17, h = 9[/tex]. So

[tex]A = lh = 17(9) = 153[/tex]

Cameron determines the area of the wall to be 1423.125 square feet.

Very far from the area of 153, which means that he made a confusion with the decimal places. Thus, the correct answer is:

Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.

Answer:

42 teaspoons of vinegar should be used

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

4 teaspoons of vegetable oil and 12 teaspoons of vinegar. 14 teaspoons of vegetable oil were used

So

4 teaspoons of vegetable oil - 12 teaspoons of vinegar

14 teaspoons of vegetable oil - x teaspoons of vinegar

So

[tex]4x = 12*14[/tex]

Dividing both sides by 4:

[tex]x = 3*14 = 42[/tex]

42 teaspoons of vinegar should be used

Answer:

13inches

Step-by-step explanation:

hope it works boy

answer:

thanks for the points luv

Answer:

D

Step-by-step explanation:

7 is it because it is positive

Answer:

y = 0 domain is all real numbers and range is 1 i believe

Step-by-step explanation:

hope this helps

Answer:

-12 can be written as the ratio of -24 and 2, for example.

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by the division of a by b, that is:

[tex]r = \frac{a}{b}[/tex]

−12 as a ratio of two integers.

Here, we want any division in which the result is -12. One example is:

[tex]-12 = \frac{-24}{2}[/tex]

-12 can be written as the ratio of -24 and 2, for example.

Answer:

the sales tax percentage is 6%

Step-by-step explanation:

To solve this you want to first find what percent $95.40 is of $90. Then we can subtract 100% to find the extra percent (the sales tax).

95.40 is what percent of 90?

95.40 = X · 90

Divide by 90 on both sides.

1.06 = X

So now we know that 95.40 is 106% of 90. We subtract 100% from 106% to get 6%. Therefore the sales tax percentage is 6%.

Answer:

Daniel traveled further by 2.73 miles

Step-by-step explanation:

To find the total distance traveled simply multiply average speed times time

For Wendy

She traveled for 3.9 hours at a speed of 68.3 mph

So total distance traveled = 3.9 * 68.3 = 266.37 miles

For Daniel

He traveled for 4.5 hours at a speed of 59.8 mph

So total distance traveled = 4.5 * 59.8 = 269.1 miles

As you can see Wendy traveled 266.37 miles and Daniel traveled 269.1 miles

Daniel traveled further

To find how much further we simply subtract distance Daniel traveled (269.1) from distance Wendy traveled (266.37)

269.1 - 266.37 = 2.73

So Daniel traveled further by 2.73 miles

Step-by-step explanation:

the answer is in the above image

Answer:

The answer is D. 22 square feet

Answer:

D

Step-by-step explanation:

3(2) + 8(2) = 22 sq ft

Step-by-step explanation:

There are many ways

-1 - 1 = - 2

-5 + 3 = -2

Answer:

(-3+1) and 1,000,000+(-1,000,002)

Answer:

1.5

Step-by-step explanation:

5*.3

Answer:

8[tex]v^{-3}[/tex]z - [tex]\frac{5}{3}[/tex] vz

Step-by-step explanation:

Answer:

47.4167

D. The computed mean is close to the actual mean because the difference between the means is less than 5%

Step-by-step explanation:

Given the distribution :

Speed(m/hr) ___ midpoint(x) ___ F ___fx

42 - 45 _______ 43.5 ________21 __ 913.5

46 - 49 _______47.5 _________15 __712.5

50 - 53 _______ 51.5 _________6 __ 309

54 - 57 _______ 55.5 ________ 4 ___ 222

58 - 61 ________59.5 ________ 2 ___ 119

The midpoint, x= sum of lower and upper boundary divided by 2

For instance, (42 + 45) / 2 = 43.5

The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

Actual mean = 47.3 miles

(47.4167 - 47.3) / 47.3 * 100% = 0.24%

no fancy math here, just some reasoning with words. I just feel like it

for one step in x-direction the value of the function doubles, so the common factor is 2.

so let's trace it back

(1,-6)

(0, -3)

For an exponential function the y-intercept is the "initial value".

do let's write is as a function

[tex]y = - 3 \times {2}^{x} [/tex]

you could also use the points and plug their numbers into the general formula, but I felt this explanation could give you more understanding, since it's meant to be more intuitive.

hope it helps

Answer:

The volume of the sphere is 3053. 63 inches.

Step-by-step explanation:

Formula for volume of a sphere is : V = 4 /3 · π · r³

V = 4/3 · π · 9³

V ≈ 3053. 63

The volume of the sphere is 3053. 63 inches.

Answer:

Q and R

Step-by-step explanation:

So lets look at the triangle.

P seems very thin, wheareas Q and R seem wider.

Normally, if given the degrees of the angles, we can subtract them from 180, which is the degrees of a full triangle, to find if two or more angles are congruent.

In this case however, we just go off of looks.

We see that angle P points strait up. This would not be the case if either Q or R where not going at the same angle, for if they were not congruent, angle P would be tilted to either the left or rihgt side.

So in the end, the best answer is Q and R.

HOpe this helps!

Answer:

1.

4.

6.

Mark me as brainlist ez