The entire digits of pie times the square root of 1

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

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Hope this will help you....

Step-by-step explanation:

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]

Answer:

-1.19164 x 10^8

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

Answer:

Done :)

Step-by-step explanation:

Best of luck!

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

Answer:

329.91 cm^2

Step-by-step explanation:

A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.

Your answer

Given data

inner radius= 8cm

area= πr^2

area= 3.142*8^2

area= 3.142*16

area= 50.272 cm^2

outer radius= 11cm

area= πr^2

area= 3.142*11^2

area= 3.142*121

area= 380.182 cm^2

Hence the area of the shaded part is

=380.182-50.272

=329.91 cm^2

Step-by-step explanation:

Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

Answer:

5 is the factor of 10. 5% of 10

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

Answer:The equation would be 3n+1 apples.

Step-by-step explanation:

Answer:

[tex]6 {}^{2} = 36 [/tex]

[tex]x = 12[/tex]

[tex]9 \times 12 = 108[/tex]

[tex]108 \times 36 = 3888[/tex]

Answer:

4 grams

Step-by-step explanation:

Find how many grams of sugar are in each mixture:

10(0.15)

= 1.5

25(0.1)

= 2.5

Add these together:

1.5 + 2.5 = 4

So, the mixture contains 4 grams of sugar

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Answer:

He is not correct

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Answer:

sorry no se la respuesta

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

Answer:

74 pesos

Step-by-step explanation:

Let us assume the one peso coins be x

so, number of five peso would be x + 4

And, the total coins is 22

Now the equation is

x + x + 4 = 22

2x + 4 = 22

2x = 22 - 4

2x = 18

x = 9

Five peso coins is 9 + 4 = 13

Now

= 9(1) + 13(5)

= 9 + 65

= 74 pesos

9514 1404 393

Answer:

  17.5

Step-by-step explanation:

The sum of the 5 numbers is 5·10 = 50.

The sum of the 15 numbers is 15·20 = 300.

The sum of all 20 numbers is then 50+300 = 350, so their mean is ...

  mean = sum/number = 350/20 = 17.5

The combined mean of the 20 numbers is 17.5.

Answer:

The triangles are similar

Step-by-step explanation:

Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.

m∠UDT = m∠EDF because vertical angles are congruetnt

Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Answer:

4.5

Step-by-step explanation:

From the file, we see that;

Horizontal distance from bottom of ladder to side of house = 2

Length of ladder leaning against side of the house = 4 m.

Now we want to find the distance from the top of the ladder to the ground which we can call d.

Thus we can find it from pythagoras theorem.

d = √(2² + 4²)

d = √(4 + 16)

d = √20

d = 4.47

To the nearest tenth gives;

d = 4.5

Answer:

y=-2x+7

Step-by-step explanation:

See image