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3 years ago

10

What two other forms to write 8.517

2 answers:

nexus9112 [7]3 years ago

4 0

For the stander form is:(8 times 1) add (5 times 0.1) add (1 times 0.01) add (7 times 0.001)
For the word form is: eight and five hundred seventeen thousandthes

Lena [83]3 years ago

3 0

8.517 in written form is:

Eight and five hundred seventeen thousandth

8.517 in expanded form is:

8 + 0.5 + 0.01 + 0.007

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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.

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1 year ago

Four bakers used the following amounts of flour and sugar in their favorite cake recipe. Which bakers use the same flour to suga

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3 years ago

Which of the following is the conjugate of the expression below when x> -3?

harina [27]

Answer:

$7+\sqrt{x+3}$

Step-by-step explanation:

The conjugate of a radical expression is obtained by changing the sign of the middle term.

The conjugate of $a+\sqrt{b}$ is simply $a-\sqrt{b}$

Therefore, to obtain the conjugate of the given expression we simply shall be changing the negative sign to positive;

The conjugate of $7-\sqrt{x+3}$ is simply;

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2 years ago

I’m actually so dumb!!!<br> How???<br> Answer???

Pani-rosa [81]

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3 years ago

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zvonat [6]

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1 year ago