Consider the polynomial identity: (x+y) ^3 = x^3 +3x^2y + 3xy^2 +y ^3

(a) prove this identity by expanding the left - hand side of the equation.

(b) use your calculator to find the value of 11^3 then use the identity to show the same result. Carefully consider your choice of a and b

Janet is rolling a number cube with the numbers one through six she record the numbers after each row if she rolls of keep 48 times how many times should she expect to roll a 4

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.

What is 60.9643790503 to 5 decimal