Solve the following initial value problem for the function y(x).
y'=2xy^2 ; y(1)=1/2

Answer:

He said that the nation had "room enough for our descendants to the thousandth and thousandth generation" and that his administration would pursue "honest friendship with all nations, entangling alliances with none." He affirmed that America's future depended upon "the preservation of the General government

Step-by-step explanation:

Answer:

15a + 10b = 100

Step-by-step explanation:

Given:

Cost of each lawn mowed = $15

Cost of each babysitting = $10

Total money earned = 100

Find:

Algebra form

Computation:

Assume;

Number of lawn mowed = a

Number of babysitting = b

So,

15a + 10b = 100

Answer:

Step-by-step explanation:

10). 1). Both the triangles are not similar.

     2). For the similarity of two triangles, corresponding sides of the triangles should be proportional and the included angles should be equal in measure.

         Although the angle given is equal but the corresponding sides of the triangles are not proportional, triangles are not similar.

          [tex]\frac{UW}{HF}= \frac{UV}{GF}[/tex] (For similar triangles)

          [tex]\frac{9}{21}= \frac{18}{42}[/tex]

          [tex]\frac{3}{7}=\frac{6}{7}[/tex]

          But [tex]\frac{3}{7}\neq \frac{6}{7}[/tex] therefore, both the triangles are not similar.

11). In ΔTUV and ΔCDE,

    If the given triangles are similar, their corresponding sides will be proportional and the included angle will be equal in measure.

    ∠C ≅ ∠T [Given]

    [tex]\frac{TU}{CD}= \frac{UV}{DE}[/tex]

    [tex]\frac{30}{10}=\frac{27}{9}[/tex]

    3 = 3

    True.

    Therefore, ΔTUV ~ ΔCDE (By SAS postulate of similarity]

Answer:

1)307

2)81796

Step-by-step explanation:

584 × (?) =179288

[tex]\frac{179288}{584}[/tex] =307

(?) ÷ 143 = 572​

572x143 =81796

¡Espero que esto sea de ayuda! :)

Answer: 58

Step-by-step explanation:

180-114= 66

66+56=122

180-122= 58

Answer:

[tex]4(x + 1)^{2}(x - 1)^{2}[/tex]

Step-by-step explanation:

STEP 1:

The equation at the end of step 1

[tex]((4 (x^4)) - 2^3x^2) + 4[/tex]

STEP 2:

The equation at the end of step 2:

[tex](2^2x^4 - 2^3x^2) + 4[/tex]

STEP 3:

STEP 4: Pulling out like terms

4.1 Pull out like factors:

[tex]4x^4 - 8x^2 + 4 = 4(x^4 - 2x^2 + 1)[/tex]

Trying to factor by splitting the middle term

4.2 Factoring [tex]x^4 - 2x^2 + 1[/tex]

The first term is, [tex]x^4[/tex] its coefficient is 1.

The middle term is,  [tex]-2x^2[/tex]  its coefficient is -2.

The last term, "the constant", is +1.

Step-1: Multiply the coefficient of the first term by the constant   1 • 1 = 1

Step-2: Find two factors of  1  whose sum equals the coefficient of the middle term, which is -2.

-1 + -1 = -2 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1

                    x4 - 1x2 - 1x2 - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x2-1)

Step-5 : Add up the four terms of step 4 :

                   (x2-1)  •  (x2-1)

            Which is the desired factorization

Trying to factor as a Difference of Squares:

4.3      Factoring:  x2-1

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check :  x2  is the square of  x1

Factorization is :       (x + 1)  •  (x - 1)

Trying to factor as a Difference of Squares:

4.4      Factoring:  x2 - 1

Check : 1 is the square of 1

Check :  x2  is the square of  x1

Factorization is :       (x + 1)  •  (x - 1)

Multiplying Exponential Expressions:

4.5    Multiply  (x + 1)  by  (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x+1)  and the exponents are :

         1 , as  (x+1)  is the same number as  (x+1)1

and   1 , as  (x+1)  is the same number as  (x+1)1

The product is therefore,  (x+1)(1+1) = (x+1)2

Multiplying Exponential Expressions:

4.6    Multiply  (x-1)  by  (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1

and   1 , as  (x-1)  is the same number as  (x-1)1

The product is therefore,  (x-1)(1+1) = (x-1)2

Final result :

 4 • (x + 1)2 • (x - 1)2

Step-by-step explanation:

40 ÷ 4 ( 4 sides) = 10

So each side measures 10inches

Answer:

10

Step-by-step explanation:

beacue 10x4

Answer:

one answer

x = 2

Step-by-step explanation:

Answer:

[tex] \sqrt{8} [/tex]

or

[tex]2 \sqrt{2} [/tex]

Step-by-step explanation:

Since the legs are equal this is a 45-45-90 triangle.

The ratio of side length for a 45 45 90 triangle

[tex](1)(1)( \sqrt{2} )[/tex]

where 1 is the legs length and sqr root of 2 is the length of the hypotenuse.

Since we are trying to find the length of the legs side we can set up a proportion.

We know the hypotenuse is 4 so our proportion looks like

[tex] \frac{1}{x} = \frac{1}{x} = \frac{ \sqrt{2} }{4} [/tex]

Let see how far sqr root of 2 goes into 4.

[tex] \sqrt{2} \times x = 4[/tex]

[tex] \sqrt{2} \times x = \sqrt{16} [/tex]

[tex]x = \sqrt{8} [/tex]

so that means the answer for the legs length is

[tex] \sqrt{8} [/tex]

or

[tex]2 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

hello :

use  phtagor - rule:  let  x  the length of each side

x² +x² =4²

2x² =16

x² = 8  

x = √8

but :  8 = 4×2 = 2²×2

x = √(2²×2) = √2²× √2 =2√2      ......   √2² =2

x  =  2√2 metres.

Answer:

Thanks for the points- but im a duma$s

Step-by-step explanation:

Answer:

The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.

(His new salary is 58,800 and 5% of his normal salary is 2,800)

Answer:

cccccccccccccccccccccccccccccc c

Answer:

x = 4

pls mark as brainliest...

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

Answer:

Step-by-step explanation:

Given that:

The modeled equation y = 0.2x² - 0.4x - 0.6

To find x- intercepts

y = 0.2x² - 0.4x - 0.6

y = 0.2(x² - 2x - 3)

y = 0.2(x - 3)(x + 1)

Suppose the upward parabola cuts x axis at x = 3 and x = - 1

Then, the length of the intercepts will be = 3 -(-1)

=4

We can say that the trees will be 4 unit apart.

To find y-intercepts;

y = 0.2(0)² - 0.4(0) -0.6

y = -0.6 meters

Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

Answer:

4^2 + 6^2 = x^2

Step-by-step explanation:

Pythagorean theorem is used. Solve for x.

The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.

Answer: I cannot answer it because it needs more details. For ex say how much day he/she needs and how much pages he/she will read.

Step-by-step explanation: Unknown

Answer:

A

Step-by-step explanation:

Multiply all the points by 2.

Answer:

use formula

Step-by-step explanation:

distance between the points A and B=

√((x2-x1)²+(y2-y1)²)

Answer:

The first will be 16.6

The second will be 29

Step-by-step explanation:

Hope this Helped

[tex]5x + 7 = 90[/tex]

[tex]3x + 3 = 90[/tex]

Answer:

A) 539.93

Step-by-step explanation:

575.38 + 50 - 85.45 = 539.93

Answer: A

$539.93

Step-by-step explanation:

Balance is $575.38 so add (+) $50 for her deposit and subtract (-) $85.45 to get the answer

Answer:

Kacey

4x+3y=12.35

Fernando

8x+1y=13.05

Answer:

the answer is B. (k+2)(k+5)

Answer:

a

Step-by-step explanation:

Answer:

Correct!

Step-by-step explanation:

You did it the correct mathematical way, where you divide 4 by 30. Some people get confused and multiply 30 and 4, so good job!

Answer:

Step-by-step explanation: 4÷30=7.5 D = 7.5

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

No, because

the first function if you further calculate you have

y= 3(x +5) is y = 3x+15 ; since you have to distribute

the second function if you have to translate is y=3x+5 because if you read it out loud the equation now you will say y equals 3 times x plus 5 like was given

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

Explanation:

To get this answer, we double the 71.40 to get 142.80

You can think of it like an equation and we multiply both sides by 2

4 jeans = 71.40 dollars

2*(4 jeans) = 2*(71.40 dollars)

8 jeans = 142.80 dollars

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

Or you could solve it like this

(4 jeans)/(71.40 dollars) = (8 jeans)/(x dollars)

4/71.40 = 8/x

4x = 71.40*8

4x = 571.2

x = 571.2/4

x = 142.80

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

Yet another way to solve is to first find the unit rate

4 jeans cost 71.40, so that must mean 1 pair of jeans cost 71.40/4 = 17.85 dollars. This is the unit rate since "unit" means "one". It's the price per pair of jeans.

Multiply that by 8 to find out how much 8 pairs will cost, and we get 17.85*8 = 142.80