Convert 4(cos4π3+isin4π3) to rectangular form

Multiply −2x(6x^4−7x^2+x−5) express the answer in standard form. enter your answer in the box.

The circumference of a circle is 5 pi cm. what is the area of the circle?

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?