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White raven [17]
3 years ago
12

State whether the following statements are true or false. Justify.

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
(i) false;
Let be N = { 0, 1 , 2}; x * y = x + y => a * a = 2a ∈ { 0, 2 , 4}, which is not a( just for a = 0);

(ii) true;
b * c = c * b => a * ( b * c ) = a * ( c * b );                  (1)
                   but, a * ( c * b ) = ( c *  b ) * a;               (2)

(1) and (2) => <span>a * (b * c) = (c * b) * a.</span>
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Does someone know how to answer these questions I would really appreciate it
irina [24]

Answer:

Number 4: Yes, Numbers 5 and 6: See response below, Number 7: 24 meters

Step-by-step explanation:

Number 4: Negative numbers can't have real number square roots, but negative numbers can have real number cube roots. Take the cube root of -8 as an example. The answer would be -2. This also brings me to another point, discussed in the second response.

Number 5: A cube root is different than a square root being that -

1. the final answer of a cube root is always a negative number while that of a square root is always positive.

2. of course square roots area only applicable to positive numbers, rather cube roots, applicable to both negative and positive numbers

<em>And there are plenty more differences..........</em>

Number 6: I am not sure of a number where the square root and cube root are equal, don't give me credit on this question

Number 7: Take the cube root of 13,824 to get the dimensions, which are all equivalent to 24 (24 * 24 * 24 = 13,824)

*(Just want to add that it's 11:12 in the night, you should get sleep)

6 0
3 years ago
Value of 5 to the power of 4 over 5 to the power of 6
Yuki888 [10]

Answer:

5 to the power of 4 = 625

5 to the power of 6 = 15625

Step-by-step explanation:

5 x 5 x 5 x 5 x 5 = 625

5 x 5 x 5 x 5 x 5 x 5 = 15625

4 0
3 years ago
What is the volume of the cylinder in the picture? Use 3.14 to approximate pi. Round
postnew [5]
-21111.1 I hope this helped you
8 0
3 years ago
Is n=3 a solution?<br><br><br>-21 = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-63%7D%7Bn%7D" id="TexFormula1" title="\frac{-63
nadezda [96]

Yes. -63 / 3 = -21.

Please consider branliest! ^_^

7 0
3 years ago
Read 2 more answers
Sequence Problem Below
VMariaS [17]

Answer:

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}

Step-by-step explanation:

\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}}  \\\\\\S_n=7n-2n^2   \ \ \ \ then  \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4

6 0
3 years ago
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