Algebra Answers

Set which is neither open nor closed?
a) the empty set
b) The cantor set
c) the set of rational numbers
d) The set of real numbers

1.The sum of 4 numbers in an arithmetic progression is 24 and product is 945. Find them.
2. The 3rd term of an a.p. is 18 and 7th term is 30. Find the sum of 17 terms.
3.Sum of three number in a.p is 15 and sum of the squares of its 1st and 3rd term is 58. Find the number.
4. There are n arithmetic means between 3 and 54. If 8th arithmetic mean bears a ratio of 3:5 to n-2th arithmetic mean,find n.
5.Between two numbers whose sum is 13/6, an even arithmetic mean is inserted. the sum of these exceeds the number by unity, how many means are there.

Plz ans fast

if a+b=4 then a3+b3=?

Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13.

Find the lengths of the right triangle: One side is x, one side 1/2x + 11, and the hypotenuse is 2x + 1

Ziggy, the storehand at the Ryatt hotel has to carry the latest shipment of chinaware to the roof-top restaurant. Ziggy uses the service elevator which has a maximum weight limit of 1565 kgs. Ziggy weighs 95 kgs and each box of chinaware has a weight of 35 kgs. Formulate an inequality; use it to show the maximum number of boxes of chinaware that Ziggy can take up to the restaurant in each trip on the elevator.

a, b, c are distinct reals such that a + 1/b = b + 1/c = c + 1/a = t for some real t. Show that t = -abc.