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Fudgin [204]
3 years ago
15

How many cubes with side 2cm are needed to make a cube with side 6cm​

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

  • 27 cubes

Step-by-step explanation:

<u>Cube with side 2 has volume:</u>

  • 2³ = 8

<u>Cube with side 6 has volume:</u>

  • 6³ = 2³*3³ = 8*27

<u>Number of cubes:</u>

  • 8*27/8 = 27
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olchik [2.2K]
The correct answer is:  [B]:  " 25 a²⁵ b²⁵ " .
_________________________________________________________
<span>Explanation:
_________________________________________________________
Given the expression: 
_________________________________________________________
       </span>→  " (−5a⁵b⁵)² (a³b³)⁵  " ;   Simplify.
_________________________________________________________
Let us being by examining:
______________________________________
       →    "(−5a⁵b⁵)² " . 

→  "(−5a⁵b⁵)²  = (-5)² * (a⁵)² * (b⁵)²  = (-5)(-5) * a⁽⁵ˣ²⁾ * b⁽⁵ˣ²⁾  = 25a⁽¹⁰⁾b⁽¹⁰⁾ ;

{Note the following properties of exponents:
    (xy)ⁿ = xⁿ * yⁿ ; 

    (xᵃ)ᵇ = x⁽ᵃ * ᵇ) ; 

    (xᵃ) * (xᵇ) = x⁽ᵃ ⁺ ᵇ⁾ .}.
______________________________________

Then, we examine:
______________________________________
      →    "(a³b³)⁵ " .

→  "(a³b³)⁵ = a⁽³ˣ⁵⁾b⁽³ˣ⁵⁾ = a⁽¹⁵⁾b⁽¹⁵⁾ .
______________________________________

So:   " (−5a⁵b⁵)² (a³b³)⁵ = (-5)a⁽¹⁰⁾b⁽¹⁰⁾ * a⁽¹⁵⁾b⁽¹⁵⁾  " ; 
________________________________________
Now, we simplify:

          →  " 25a⁽¹⁰⁾b⁽¹⁰⁾ * a⁽¹⁵⁾b⁽¹⁵⁾ " ; 

→  " 25a⁽¹⁰⁾b⁽¹⁰⁾ * a⁽¹⁵⁾b⁽¹⁵⁾ ;
 
               =  25a⁽¹⁰⁾ a⁽¹⁵⁾b⁽¹⁰⁾ b⁽¹⁵⁾  ;

               =  25a⁽¹⁰ ⁺¹⁵⁾ b⁽¹⁰⁺¹⁵⁾ ;

               =  25a⁽²⁵⁾ b⁽²⁵⁾ ; 
_______________________________________________
  →  which is:  Answer choice:  [B]:  " 25 a²⁵ b²⁵ " .
______________________________________________
5 0
3 years ago
Is (6, -24) a solution to the equation: y = -7x + 18? ¿Es (6.-24)
KatRina [158]

i think that's the answer

6 0
3 years ago
Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square fee
ivanzaharov [21]

Answer:

99 square feet

Step-by-step explanation:

Because 8 times 9=72+27=99

7 0
3 years ago
Read 2 more answers
5/6 - 7/12? what is it
IgorLugansk [536]

Answer:

3/10

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Write a polynomial function in standard form with given zero x=2,-1,-5
LekaFEV [45]

Answer:

Done below!

Step-by-step explanation:

(x - root)

(x - 2)(x - (-1))(x - (-5)) = (x - 2)(x + 1)(x + 5)

(x^{2} +x-2x-2)(x+5)=(x^{2} -x-2)(x+5)=x^{3}+5x^{2}-x^{2}   -5x-2x-10\\\\=x^{3}+4x^{2} -7x-10

4 0
3 years ago
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