180 divided by 20,835

Mathematics

2 answers:

ElenaW [278]3 years ago

5 0

Answer:

0.0086393088552916

Step-by-step explanation:

Nataly [62]3 years ago

4 0

Answer:

115.75 as a decimal and fraction 463/4000

Step-by-step explanation:

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sineoko [7]

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5 0

3 years ago

Read 2 more answers

The difference of 2x and 5 is greater than -3 and less than or equal to 11

LiRa [457]

Answer:

-3 < x ≤ 8

Step-by-step explanation:

First, write this statement with symbols:

2x - 5 > -3, but also:

2x - 5 ≤ 11

Adding 5 to both sides of the first inequality yields 2x > 2. pr x > 1.

Adding 5 to both sides of the second inequality results in 2x ≤ 16, or x ≤ 8.

Thus, -3 < x ≤ 8 is the shortest way in which to write the given information.

7 0

3 years ago

Which simplifications of the powers of i are correct? There may be more than one correct answer.

fredd [130]

$\bf i^2=-1\qquad\qquad i^3=-i\qquad \qquad i^4=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ i^{22}\implies i^{(4\cdot 5)+2}\implies i^{4\cdot 5}i^2\implies (i^4)^5 i^2\implies 1^5(-1)\implies -1~\dotfill \bigotimes \\\\\\ i^{11}\implies i^{(2\cdot 5)+1}\implies (i^2)^5 i\implies (-1)^5(i)\implies -i~\dotfill \checkmark$

$\bf i^{21}\implies i^{(4\cdot 5)+1}\implies (i^4)^5 i\implies 1^5(i)\implies i~\dotfill \checkmark \\\\\\ i^{12}\implies i^{3\cdot 4}\implies i^3 i^4\implies (-i)(1)\implies -i\dotfill \bigotimes \\\\\\ i^{20}\implies i^{4\cdot 5}\implies (i^4)^5\implies 1~\dotfill \checkmark \\\\\\ i^{26}\implies i^{(4\cdot 6)+2}\implies (i^4)^6 i^2\implies 1^6(-1)\implies -1\dotfill \checkmark \\\\\\ i^{27}\implies i^{(4\cdot 6)+3}\implies (i^4)^6 i^3 \implies 1^6(-i)\implies -i\dotfill \bigotimes$