if the area expansion coefficient of iron is 0.000024/c, the volume expansion coeffcient of iron is

1. if the area expansion coefficient of iron is 0.000024/c, the volume expansion coeffcient of iron is

Jawaban:

The volume expansion coefficient of iron is 0.000072/°C.

Bantu dan apresiasi penjawab dengan mengunjungi dan mengeksplorasi situs web sodiqi .com

2. Find the expansion of( 2x -1/x)^5 Hence find the coefficient of x in the expansion of (1+3x^2) (2x-1/x)^5

Find the expansion of

[tex](2x-\frac{1}{x} )^5[/tex]

the coefficient of [tex]x^5[/tex]  is [tex]C(5,5)\times2^5\times(-1)^0=1\times32\times1=32[/tex]

the coefficient of [tex]x^3[/tex] is [tex]C(5,4)\times2^4\times(-1)^1=5\times16\times(-1)=-80[/tex]

the coefficient of [tex]x[/tex] is [tex]C(5,3)\times2^3\times(-1)^2=10\times8\times1=80[/tex]

the coefficient of [tex]\frac{1}{x}[/tex] is [tex]C(5,2)\times2^2\times(-1)^3=10\times4\times(-1)=-40[/tex]

the coefficient of [tex]\frac{1}{x^3}[/tex] is [tex]C(5,1)\times2^1\times(-1)^4=5\times2\times1=10[/tex]

the coefficient of [tex]\frac{1}{x^5}[/tex] is [tex]C(5,0)\times2^0\times(-1)^5=1\times1\times(-1)=-1[/tex]

so, [tex](2x-\frac{1}{x} )^5=32x^5-80x^3+80x-\frac{40}{x} +\frac{10}{x^3} -\frac{1}{x^5}[/tex]

will look for the coefficient of [tex]x[/tex] in the expansion of

[tex](1+3x^2)(2x-\frac{1}{x} )^5[/tex]

since [tex]x=x^2\times\frac{1}{x}[/tex], the coefficient is

[tex]k=1\times80+3\times(-40)=-40[/tex]

3. The coefficient of x² in the expansion of (4 + ax)(1 + x/2)⁶ is 3. Find the value of the constant a.​

[tex]a = - 4[/tex]

STEP :

[tex]( {x + y})^{6} = {x}^{6} + 6 {x}^{5} y + 15 {x}^{4} {y}^{2} + 20 {x}^{3} {y}^{3} + 15 {x}^{2} {y}^{4} + 6 x {y}^{5} + {y}^{6} [/tex]

[tex](4 + ax)( {1 + \frac{x}{2} })^{6} = [/tex]

[tex](4 + ax) ({1}^{6} + 6( {1})^{5}( \frac{x}{2}) + 15( {1})^{4} ( {\frac{x}{2}})^{2} + 20( {1})^{3} ( {\frac{x}{2}})^{3} + 15( {1})^{2} ( {\frac{x}{2}})^{4} +6( {1}) ( {\frac{x}{2}})^{5} + ( {\frac{x}{2}}^{6} ) )[/tex]

[tex] = (4 + ax)(1 + 3x + \frac{15 {x}^{2} }{4} + \frac{ 20{x}^{3} }{8} + \frac{ 15{x}^{4} }{16} + \frac{ 6{x}^{5} }{32} + \frac{ {x}^{6} }{64} )[/tex]

unit that contains x² is :

[tex] = 4( \frac{15 {x}^{2} }{4} ) + ax(3x)[/tex]

[tex]= 15 {x}^{2} + 3a {x}^{2} [/tex]

[tex] = (15 + 3a) {x}^{2} [/tex]

The coefficient of x² is 3, so :

[tex]15 + 3a = 3[/tex]

[tex]3a = 3 - 15[/tex]

[tex]3a = - 12[/tex]

[tex]a = - 4[/tex]

4. An iron rod has the length of 2 m and the temperature of 283 K. If its linear expansion coefficient is 0.000011/K, the iron rod length at 303 K is ... m.

Jawaban:

2,0004 m

Penjelasan:

Known :

Lo = 2 m

ΔT = 303 K - 283 K = 20 K

α = 0,000011/K

Asked

Iron length ar 303 K?

Solution :

Lt = Lo. (1 + α . ΔT)

Lt = 2 . (1 + 0,000011 . 20)

Lt = 2 . (1,00022)

Lt = 2,0004 m

5. arti dari "our world is made up of many different materials"

dunia kita terbuat dari material yang banyak dan berbedadunia kita terdiri dari banyak yang berbeda
bahan
*maaf kalo salah

6. find the coefficient of x^3 in the following expansion [tex](1 + 3x) {}^{12} [/tex]​

Koefisien dari [tex] x^3 [/tex] pada [tex] (1 + 3x)^12 [/tex] adalah 6210.

Penjelasan dengan Langkah-Langkah

Diketahui:

[tex] (1 + 3x)^12 [/tex]

Ditanyakan:

Koefisien dari [tex] x^3 [/tex]

Jawab:

Pada perpangkatan operasi aljabar berlaku segitiga pascal yang dapat dengan mudah menyatakan koefisien dari polinom dengan hasil perpangkatan tersebut.

Pada baris ke-13 segitiga pascal berlaku untuk pangkat 12. Apabila terdapat (a + b), maka:

[tex](a + b)^12 = a^{12} b^0 + 12 a^{11} b^1 + 66 a^{10} b^2 + 230 a^9 b^3 + 535 a^8 b^4 + 862 a^7 b^5 + 1004 a^6 b^6 + 862 a^5 b^7 + 535 a^4 b^8 + 230 a^3 b^9 + 66 a^2 b^{10} + 12 a^1 b^{11} + a^0 b^{12}[/tex]

Karena:

a = 1b = 3x

Agar [tex] x^3 [/tex] maka [tex] b^3 [/tex], maka:

[tex] 230 a^9 b^3 = 230 (1)^9 (3x)^3\\ = 230 \times 1 \times 27x^3\\ = 6210x^3 [/tex]

Jadi, koefisiennya adalah 6210.

Pelajari Lebih Lanjut,

Materi tentang menentukan akar-akar pada suatu persamaan kuadrat: brainly.co.id/tugas/3681461

#BelajarBersamaBrainly

7. 3. The quotient of two numbers with the different signs is.​

Jawaban:

hasil bagi dua bilangan yang berbeda tandanya adalah

Penjelasan dengan langkah-langkah:

itu jawabanya maap kalau salah

8. 3. Explain two positive impacts of having online interaction nowadays.​

Jawaban:found that because of the online disinhibition effect, individuals are able to open up more in online support groups. This, they argue, fosters personal empowerment, control, self-confidence, and improved feelings.

Penjelasan:

9. find the coefficient of x^3 in the following expansion [tex] {(1 + 3x)}^{12} [/tex]​

Jawaban:

The coefficient of [tex]x^3[/tex] in the expansion of  [tex](1+3x)^{12}[/tex]  is 5940.

Pembahasan

The coefficient of [tex]x^k[/tex] in the expansion of [tex](ax+b)^n[/tex] is:

[tex]\large\text{$\begin{aligned}&\boxed{\ {}_{n}C_{k}\cdot a^k\cdot b^{n-k}=\frac{n!}{k!(n-k)!}\cdot a^k\cdot b^{n-k}\ }\end{aligned}$}[/tex]

Given the polynomial of [tex](1+3x)^{12}[/tex], we have:

a = 3b = 1n = 12

[tex]x^3[/tex] ⇒ k = 3, so:

[tex]\large\text{$\begin{aligned}{}_{12}C_{3}\cdot 3^3\cdot 1^{12-3}&=\frac{12!}{3!\,9!}\cdot 27\cdot 1\\\\&=\frac{12\cdot11\cdot10\cdot\cancel{9!}}{3!\,\cancel{9!}}\cdot27\\\\&=\frac{12\cdot11\cdot10}{3!}\cdot27\\\\&=\frac{12\cdot11\cdot10}{6}\cdot27\\\\&=2\cdot11\cdot10\cdot27\\\\&=220\cdot27\\\\&=\bf5940\end{aligned}$}[/tex]

CONCLUSION

∴  The coefficient of[tex]x^3[/tex]  in the expansion of  [tex](1+3x)^{12}[/tex]  is 5940.

10. What are the advantages and disadvantages Indonesia of having only two Seasons?

Advantages:
1. Suitable to manage a farms, such like cows, chickens, etc.
2. Has a variety of flora and fauna.
3. The sunlight shines enough throughout the year.

Diadvantages:
1. Vulnerable to natural disasters.
2. Frequent fires in the dry season.

11. The volume of a glass at a temperature of 20 C is 500ML if the length expansion coefficient of the glass is 0.00009/C, then the volume of the glass at a temperature of 75C is

Jawaban:

Vo = 500 ml = 500 cm³

To = 20°C

koef muai panjang gelas = 9 × 10^-5/°C

T = 75°C

V?

V = Vo ( 1 + 3. koef. gelas × ∆T)

= 500 (1 + 3 × 0.00009 × (75-20))

= 500 (1 + 0.00027 × 55)

= 507.425 cm³= 507.425 ml

12. A metal bar is 100cm long. Change length 0,11cm if temperature change 90°C. What is the coefficient of linear expansion metal​

Jawaban:

The coefficient of linear expansion of metal is 0.11 cm/°C.

Bantu dan apresiasi penjawab dengan mengunjungi dan mengeksplorasi situs web sodiqi .com

13. A substance made up of atoms of two or more different elements joined by chemical bonds

Jawaban:

Compound

Penjelasan:

In chemistry, a compound is a substance made up of two or more different chemical elements combined in a fixed ratio. When the elements come together, they react with each other and form chemical bonds that are difficult to break. These bonds form as a result of sharing or exchanging electrons between atoms.

Jawaban:

Compound

Penjelasan:

A chemical compound is a chemical substance composed of many identical molecules (or molecular entities) containing atoms from more than one chemical element held together by chemical bonds. A molecule consisting of atoms of only one element is therefore not a compound. A compound can be transformed into a different substance by a chemical reaction, which may involve interactions with other substances. In this process, bonds between atoms may be broken and/or new bonds formed.

There are four major types of compounds, distinguished by how the constituent atoms are bonded together. Molecular compounds are held together by covalent bonds; ionic compounds are held together by ionic bonds; intermetallic compounds are held together by metallic bonds; coordination complexes are held together by coordinate covalent bonds. Non-stoichiometric compounds form a disputed marginal case.

A chemical formula specifies the number of atoms of each element in a compound molecule, using the standard chemical symbols with numerical subscripts. Many chemical compounds have a unique CAS number identifier assigned by the Chemical Abstracts Service. Globally, more than 350,000 chemical compounds (including mixtures of chemicals) have been registered for production and use.

14. A pyrex glass with initial length of 1 m is heated up to 1200C from initial temperature. Determine the final length of pyrex glass if its length expansion coefficient is 0.00003/0C!

Jawaban:

the final length of pyrex glass

Lt=Lo(1+α∆t)

Lt=1(1+0,00003(120))

Lt=1(1+0,0036)

Lt=1(1,0036)

Lt=1,0036m

15. 1. What is Expansion of Heat??​

Jawaban:

expansion of shape due to heat (pemuaian)

Penjelasan:

maaf kalo salah

16. A steel bar has length of 3 × 10² m, heated from 20°C to 120°C. If the length coefficient expansion is 1,2 × 10^-5 / °C and the length of steel to be affected by the first length, temperature changing and length linear coefficient expansion. Calculate the length of the end of the steel!

Materi: Pemuaian <<<<<<<<<Lo = 3 x 10² m
Δt = 120°C - 20°C = 100°C
α = 1,2 x 10⁻⁵/°C
Lt = ... ?

Problem solving:
Lt = Lo (1 + α x Δt)
Lt = 3 x 10² (1 + 1,2 x 10⁻⁵ x 100)
Lt = 3 x 10² (1 + 1,2 x 10⁻³)
Lt = 3 x 10² (1 + 0,0012)
Lt = (3 x 10²)(1,0012)
Lt = 300,36 m

17. a copper bar at 10c is 100m long, then it heated up to 150c. determine the length expansion of that copper bar during the heated progress if its expansion coefficient is 0.000017

Jawaban:

The length expansion of the copper bar during the heated process would be 0.17 m.

Bantu dan apresiasi penjawab dengan mengunjungi dan mengeksplorasi situs web sodiqi .com

18. What are the advantages and disadvantages of having only two seasons

we can play snow if there is snowy season.


we cannot play snow if there is no snowy season. Advantage : The agriculture department won't have a hard time planning for the planting process of the plants. There won't be any drastic changes in the climate. We get enough sunlight.

Dis : It will not interest tourists, and it will affect the tourism department. The variation of plants and animals will be low.

Semoga membantu. Apabila iya, harap jadikan jawaban saya sebagai jawaban terbaik. :)

19. The ratio of Circumferences of two Circles having radius 3 and 18 cm is...​

1 : 36.

Circumference = pi × D

ratio = pi × D : pi × D

we can remove the pi

D : D

6 : 36

1 : 6

20. A train track which is made of steel has length of 500 m on 00C. How long is its expansion if it is heated until 400C? The coefficient of length expansion of steel is 1.3 x 10-5/0C.

Penjelasan dengan langkah-langkah:

cmiiw yaaa hope it helps