x = √(9 × 16) = √144 = 12 cm
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The slope of g(x) would be 5-2/1-0=3
they have the same slope
Answer:
Solution to determine whether each of these sets is countable or uncountable
Step-by-step explanation:
If A is countable then there exists an injective mapping f : A → Z+ which, for any S ⊆ A gives an injective mapping g : S → Z+ thereby establishing that S is countable. The contrapositive of this is: if a set is not countable then any superset is not countable.
(a) The rational numbers are countable (done in class) and this is a subset of the rational. Hence this set is also countable.
(b) this set is not countable. For contradiction suppose the elements of this set in (0,1) are enumerable. As in the diagonalization argument done in class we construct a number, r, in (0,1) whose decimal representation has as its i th digit (after the decimal) a digit different from the i th digit (after the decimal) of the i th number in the enumeration. Note that r can be constructed so that it does not have a 0 in its representation. Further, by construction r is different from all the other numbers in the enumeration thus yielding a contradiction
Answer:
volume of the storage body is 576. multiply by 9. she can fit 64 boxes
Step-by-step explanation:
so draw a line at the short end of the body so it would be 6ft x 4 ft x 2ft = 48 ft. then the rest of the body becomes 11 ft (15 ft minus 4 ft) x 8ft x 6ft =528. so 48 + 528 = 576 then you divide 576 by 9 and get 64.
