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KatRina [158]
3 years ago
8

Which expression is a perfect cube?

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

216x^9 y^18 is a perfect cube

Step-by-step explanation:

To find out the expression that is a perfect cube, we need to take cube root for each expression

\sqrt[3]{8x^21 y^8} = \sqrt[3]{2^3x^{21} y^8}=2^{\frac{3}{3}} x^{\frac{21}{3}} y^{\frac{8}{3}}

8 is not divisible by 3 so it is not a perfect cube

\sqrt[3]{64x^64 y^64} = \sqrt[3]{2^6x^{64} y^{64}}=2^{\frac{6}{3}} x^{\frac{64}{3}} y^{\frac{64}{3}}

64 is not divisble by 3

\sqrt[3]{125x^9 y^20} = \sqrt[3]{5^3x^9 y^{20}}=5^{\frac{3}{3}} x^{\frac{9}{3}} y^{\frac{20}{3}}

20 is not divisible by 3

\sqrt[3]{216x^9 y^{18}} = \sqrt[3]{6^3x^9 y^{18}}=6^{\frac{3}{3}} x^{\frac{9}{3}} y^{\frac{18}{3}}=6x^3y^6

maks197457 [2]3 years ago
3 0

-216x^9 y^18 is a perfect cube

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Recursive definitions for subsets of binary strings.Give a recursive definition for the specified subset of the binary strings.
dmitriy555 [2]

Answer:

Step-by-step explanation:

A binary string with 2n+1 number of zeros, then you can get a binary string with 2n(+1)+1 = 2n+3 number of zeros either by adding 2 zeros or 2 1's at any of the available 2n+2 positions. Way of making each of these two choices are (2n+2)22. So, basically if b2n+12n+1 is the number of binary string with 2n+1 zeros then your

b2n+32n+3 = 2 (2n+2)22 b2n+12n+1

your second case is basically the fact that if you have string of length n ending with zero than you can the string of length n+1 ending with zero by:

1. Either placing a 1 in available n places (because you can't place it at the end)

2. or by placing a zero in available n+1 places.

0 ϵ P

x ϵ P → 1x ϵ P , x1 ϵ P

x' ϵ P,x'' ϵ P → xx'x''ϵ P

3 0
3 years ago
Please help !!! brainliest will be given
sattari [20]

Answer:

6 is the domain because it is always the x value while range is the y value.

7 0
3 years ago
Read 2 more answers
VERBAL
telo118 [61]

Answer:

The initial value in the word problem is the output value when input value is set to zero.

Step-by-step explanation:

  • In the question, it is given that a problem uses a linear function.
  • It is required to explain how to interpret the initial value in a word problem.
  • In order to find the initial value in a world problem, find the output value when input value is set to zero.
  • If the initial value is marked as b for a linear function f(x), find it as follow,
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6 0
1 year ago
find the slope between each pair of points please help with these three questions and i’ll mark the brain thing !
madam [21]

(If It's a number like this: 8/9 then it's a fraction)

Answer:

<h2><em><u>9. -2/6</u></em></h2><h2><em><u>10. -6/-10</u></em></h2><h2><em><u>11. 3/4</u></em></h2>

Step-by-step explanation:

Yay, I love doing these!

9.} 6 - 8 and 4- -2= -2/6

10.} 3 - 9 and -1 - 9= -6/-10

11.} -1 - -7 and 5 - -3= 6/8 simplify it by 2= 3/4

5 0
3 years ago
What is the following product? (5√2-4√3)(5√2-4√3)
Galina-37 [17]

Step-by-step explanation:

(5√2-4√3)(5√2-4√3)=

(5√2-4√3)^2=(5√2)^2+(4√3)^2-2(5√2)(4√3)

=25*2+16*3-10√2*4√3

=50+48-10√2*4√3

=98-10√2*4√3 is the answer

6 0
3 years ago
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