The table shows the number of glass bottles of different colors in a shelf. a fair coin is shown below the table. red: 9 blue: 1 green: 6 purple: 4 danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin. what is the probability that he will select a purple glass bottle and that the coin will land heads up? a. 1/10 b. 1/8 c. 1/6 d. 1/5

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb