Recall that the Bolzano-Weierstrass theorem (BWT) says that if a sequence is bounded, then it has a convergent subsequence.(a) State the converse and the contrapositive of the BWT. Disprove the false one.(b) Show (assuming the BWT) thateverysequence either has a convergent subse-quence or a subsequence that diverges to±[infinity]. Can both occur? Explain.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: