Assignment 11Query11

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course Mth 151

011. `Query 11

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Question: `qQuery (previously 1.4.24) 1 raised to any power is what?

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Your solution:

1 because 1 times itself (no matter how many times) will always equal 1

confidence rating #$&*: 3

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Given Solution:

`a** The meaning is 1^2, 1^3, 1^4. We take a power of the base.

The result is always 1. **

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Self-critique (if necessary): OK

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Self-critique Rating: 3

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Question: `qQuery (previously 1.4.30) What can you say about the square root of a negative number?

What can you say about the square of a negative number?

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Your solution:

The square root of a negative number is impossible. You can’t multiply anything times itself and get a negative number as a root. The only way to get a negative number from multiplication is to multiply a negative and a positive together.

The square of a negative number will always be positive. If you take a negative number and multiply it times itself, the negatives become positive.

confidence rating #$&*: 3

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Given Solution:

`a** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number.

There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. **

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Self-critique (if necessary): OK

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Self-critique Rating: 3

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Question: `qQuery 1.4.38 (previously 1.4.42) drawer has 18 compartments; how many drawers to hold 204 tapes?

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Your solution:

204/18 = 11.333

He will need 12 drawers to fit all 204 tapes

confidence rating #$&*: 3

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Given Solution:

`a** 204 / 18 = 11 with remainder 6. If we had 11 drawers they would hold all but 6 of the tapes.

The leftover tapes also have to go into a drawer, so we need a 12th drawer. **

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end document

Self-critique (if necessary):

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Self-critique rating:

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Question: `qQuery 1.4.38 (previously 1.4.42) drawer has 18 compartments; how many drawers to hold 204 tapes?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

204/18 = 11.333

He will need 12 drawers to fit all 204 tapes

confidence rating #$&*: 3

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Given Solution:

`a** 204 / 18 = 11 with remainder 6. If we had 11 drawers they would hold all but 6 of the tapes.

The leftover tapes also have to go into a drawer, so we need a 12th drawer. **

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end document

Self-critique (if necessary):

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