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kap26 [50]
2 years ago
9

Elena and Noah are each filling a bucket with water. Noah's bucket is 2/5

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
5 0

Answer:

2 because 2 mas dos usual a 4

Step-by-step explanation:

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There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL
Gennadij [26K]

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb,  we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since \lim_{n \to \infty} \frac{a}{2^{n}b } = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

3 0
3 years ago
Write the linear equation that gives the rule for this table.
4vir4ik [10]

Answer:

18=b

Step-by-step explanation:

3 0
3 years ago
Use radical notation to rewrite each expression and simplify<br> 9 3/2
scoundrel [369]

Answer:

  9^{\frac{3}{2}}=\sqrt{9^3}=27

Step-by-step explanation:

The fractional exponent m/n is often translated to radical form as ...

  x^{\frac{m}{n}}=\sqrt[n]{x^m}

In this case, I find it easier to evaluate as ...

  x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}

7 0
3 years ago
Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cub
leonid [27]

The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.

Volume of a square based pyramid is given as :

V = a^2h/3

Where; h = height ; a = base edge

Hence, Volume of PYRAMID A :

V = 14^2 * (6/3)\\\\V = 392 in^3

Volume of PYRAMID B = 3,136 in³

Divide Volume of pyramid B by pyramid A :

3136 in^3 / 392 in^3

= 8 times

Expressing as a percentage, multiply by 100% ;

8 * 100% = 800%

Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.

Learn more :

brainly.com/question/17615619

8 0
2 years ago
Read 2 more answers
you are helping to organize a soccer tournament by registering the participating teams. each week 666 teams register to particip
algol13

The graph that best represent the relationship between time and cost is option A as it is a proportional graph

<h3>How to know the graph that represent the relationship between time and number of team?</h3>

Each week 6 teams register to participate.

Therefore, for every week 6 team register to participate in the competition.

This simply implies as time increases , the number of participant in the competition also increase.

Therefore, the equation that can be use to represent this situation is as follows:

y = 6x

where

  • y = number of team registered
  • x = time in weeks.

Hence,  the graph that best represent the relationship between time and cost is option A as it is a proportional graph. The registered team increases as the time in weeks increase.

learn more on graph relationship here: brainly.com/question/12812258

#SPJ1

8 0
2 years ago
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