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kramer
3 years ago
15

Is the number 65.4349224... rational or irrational? Explain.

Mathematics
3 answers:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

It is irattional because the number keeps changing

Step-by-step explanation:

Wittaler [7]3 years ago
5 0

Answer:

my guess is irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).

Green acres is 2 years ago
0 0

The answer is 12.6473436373

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The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i
kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.


Recall the formula for the sum of consecutive positive integers,

\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2

Now,

1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224

numbers, and their sum is

\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of 1+9\times2=19.

So, the sum of the first 1234 terms in the sequence is 2419.

8 0
2 years ago
Someone please help !! picture shown
Aleks [24]
Correct me if im wrong but the answer is (B) hope this helps!
5 0
3 years ago
Read 2 more answers
Give an approximate value to the tenth of the angle IJK. Thanks so much!! need answer asap!! assignment due in 5 mins pls help!!
meriva

Answ, i just need 5 pts thanks!

Step-by-step explanation:

4 0
2 years ago
I know its big...sorry for that, but i really need the awnsers -_-
BlackZzzverrR [31]

Answer:

#20 is irrational,  #24 is 33/100, and #25 is 0  

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Match each quadratic equation with the best way to solve it. 1. 5x2 + 12x - 3 = 0 solve by square root method 2. x2 - 4x = 8 sol
Ksivusya [100]
<span>The best way to solve each equation is:
 
</span> 1) 5x2 + 12x - 3 = 0 -----> solve by quadratic formula 
 2) 4x2 - 25 = 0 -----------> solve by square root method 
 3) x2 - 5x + 6 = 0 --------> solve by factoring
 4) x2 - 4x = 8 -------------> solve by completing the square 

8 0
3 years ago
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