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krek1111 [17]
3 years ago
14

Identify all of the real fifth roots of 1024.

Mathematics
2 answers:
V125BC [204]3 years ago
8 0

Answer:

Real fifth root of 1024 is 4.

Step-by-step explanation:

We have to find the value of real fifth root of 1024.

For this let fifth root of 1024 = x

Therefore x^{5} = 1024 = 4^{5}

Or x^{5}=4^{5}

Therefore x = 4

X= 4 is the right answer.

muminat3 years ago
4 0

Answer:

\large\boxed{\sqrt[5]{1024}=4}

Step-by-step explanation:

\begin{array}{c|c}1024&2\\512&2\\256&2\\128&2\\64&2\\32&2\\16&2\\8&2\\4&2\\2&2\\1\end{array}\\\\1024=\underbrace{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}_{10}=2^{10}\\\\\sqrt[5]{1024}=\sqrt[5]{2^{10}}\\\\\text{Use}\ (a^n)^m=a^{nm}\\\\=\sqrt[5]{2^{2\cdot5}}=\sqrt[5]{(2^2)^5}=\sqrt[5]{4^5}\\\\\text{Use}\ \sqrt[n]{a^n}=a\\\\=\boxed4

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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

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  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
2 years ago
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDE
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Answer:

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Step-by-step explanation:

hope I helped

4 0
3 years ago
Need help on 4,5 pleasesss
Tamiku [17]
The answer is 45 you put the 4 and the 5 togther
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3 years ago
How much do I pay for the loan
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एउटा आयताकार चाउरको परिमिति 1004 m भए सो चउरको
frez [133]

Answer:

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Step-by-step explanation:

let x and y represent the length and breadth of rectangular meadow respectively.

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3 years ago
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