Calculate the number of subsets and the number of proper subsets for the set

Option C:

Number of subsets and number of proper subset is 64, 63

Solution:

Given set = {1, 3, 5, 7, 9, 11}

Number of elements in the set (n) = 6

Number of Subsets of a given Set:

If a set contains ‘n’ elements, then the number of subsets of the set is .

Number of Subsets of a given Set =

Number of Proper Subsets of the Set:

If a set contains ‘n’ elements, then the number of proper subsets of the set is .

Number of Proper Subsets of the Set =

Option C is the correct answer.

Hence number of subsets and number of proper subset is 64, 63.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.