Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.
.
You didn't include how many gallons each container of bleach has, so I'm just going assume one container has a gallon inside. if 5% of one gallon is active Ingredients, and there are 10 gallons, then that's 1,000%. (one gal = 100%. 100x10= 1,000) 5 x 10= 50, so 50% of 1,000% is active ingredients, which can be simplified to 5% anyway, so 5%
Answer:
12g8h10
Multiply each variable quantity by 2 and combine.
36%
Hope this is right im only 11 :)
