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Softa [21]
2 years ago
6

Find the indicated real nth root(s) of a. n=3, a=729

Mathematics
1 answer:
marissa [1.9K]2 years ago
6 0

Answer:

9

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

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solniwko [45]
He can make at-least 240
4 0
2 years ago
How do I fill this out? Im not sure how to?
prohojiy [21]

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0

We add all the numbers together, and all the variables

-((z+6)/5)+6/2=0

We add all the numbers together, and all the variables

-((z+6)/5)+3=0

We multiply all the terms by the denominator

-((z+6)+3*5)=0

We calculate terms in parentheses: -((z+6)+3*5), so:

(z+6)+3*5

We add all the numbers together, and all the variables

(z+6)+15

We get rid of parentheses

z+6+15

We add all the numbers together, and all the variables

z+21

Back to the equation:

-(z+21)

We get rid of parentheses

-z-21=0

We add all the numbers together, and all the variables

-1z-21=0

We move all terms containing z to the left, all other terms to the right

-z=21

z=21/-1

z=-21

5 0
3 years ago
How many digits are there in the smallest sequence of repeating digits in the decimal equivalent of 5/9
mestny [16]

Answer:

1

Step-by-step explanation:

5/9 = 0.5555555

The smallest sequence of repeating digits in the decimal equivalent of 5/9

0.5

0.5 + 0.05

0.5 + 0.05 + 0.005

0.5 + 0.05 + 0.005 + 0.0005

Hence, the number of digit in the smallest sequence of repeating decimal is 1

5/9 = 0.5....

8 0
3 years ago
Robin purchased a $160,000 182-day T-bill discounted to yield 1.96%. When he sold it 45 days later, yields had dropped to 1.82%.
Sav [38]

The amount earned by Robin is $224

  • Given the cost of 182-day T-bill = $160,000

If Robin is discounted to yield 1.96%, the amount yield is expressed as:

The yield of 1.96% = 1.96% of 160000

The yield of 1.96% = 0.0196 * 160000

The yield of 1.96% = $3136

Similarly, if the yield is dropped to 1.82%

The yield of 1.82% = 1.82% of 160000

The yield of 1.82% = 0.0182 * 160000

The yield of 1.82% = $2,912

Amount earned by Robin = $3136 - $2192

Amount earned by Robin  = $224

Hence the amount earned by Robin is $224

Learn more on discounts here: brainly.com/question/17745353

6 0
2 years ago
Solve 1) y"+y'+y=x²;​
Naily [24]

Answer:

x2+3y

Step-by-step explanation Combine like terms y+y+y=x2   3y+x2  and the solution is x2+3y.

5 0
3 years ago
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