Answer:
90(8) + 2(38) = 270 + 76 = 346p
Step-by-step explanation:
Answer:
#1: inequality form: x ≤ –1 or x ≥ 2
interval notion: ( -∞,-1] U [2,∞)
#2: false/no solution
#3: A) point form: (3,9)(-1,1)
equation form: x= 3,y=9 and x= -1,y=1
B)point form: (1,7)(7,1)
equation form: x=1,y=7 and x=7,y=1
Step-by-step explanation:
#1: solve for x by simplifying both sides of the inequality, then isolating the variable.
#2: N/A
#3: solve for the first variable in one of the equations, then substitute the results into the other question.
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Answer:
0.19512195122
Step-by-step explanation:
Answer:5/3 jars left
Step-by-step explanation:
Convert the total number of jars to improper fraction from mixed fraction
The subtract the total number of jars from the total number of empty jars
16/3 -11/3
5/3
