course Mth 151 V|Ƞɱϵassignment #011
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07:02:01 Query 1.4.24 1 to any power is what?
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RESPONSE --> 1 to any power is always going to be 1, no matter what power. confidence assessment: 3
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07:02:05 ** 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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RESPONSE --> OK self critique assessment: 3
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07:02:47 Query 1.4.30 sqr of neg gives what?
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RESPONSE --> The square of a negative gives us a positive. confidence assessment: 3
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07:03:18 ** 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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RESPONSE --> OK self critique assessment: 3
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07:04:52 Query 1.4.42 drawer has 18 compartments; how many drawers to hold 204 tapes?
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RESPONSE --> It will take 11 compartments, rounded, to hold 204 tapes. The calculator gives 11.33333333 confidence assessment: 2
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07:05:25 ** 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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RESPONSE --> OK, I should have thought deeper about the problem, and rounded up. self critique assessment: 2
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