For this case we have the following complex number:
1 + i
Its equivalent pair is given by:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
Rewriting we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A represents a pair with the same complex number
Quantity of dolls and horses are 10 and 5 respectively .
Selling prices of dolls and horses are $7 and $ 9 respectively .
And the commission on them are $2 and $ 3 respectively .
So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80
So the total value of the merchandise using net realizable value is $ 80. Therefore out of the given options, correct option is the last option .
<span>The control box’s dimensions are 30 inches by 25 inches. Therefore, the perimeter of the box is 30 inches + 25 inches + 30 inches + 25 inches = 110 inches. There are 12 inches per foot. 12 goes into 110 nine times, with two inches left over. Therefore, 9 feet and 2 inches of weatherstripping is needed.</span>
Answer: a) 
Step-by-step explanation:
Since we have given that
Number of red marbles = 3
Number of yellow marbles = 4
Number of green marbles = 6
Total number of marbles = 3 +4 +6 = 13
a) the marble is red?
Probability of getting a red marble = 
b) the marble is not yellow?
Probability of not getting yellow = 
c) the marble is either red or green?
Probability of getting either red or green = P(red) + P(green) =
d) the marble is neither red nor green?
Probability of getting neither red nor green = P(getting yellow) = 
Hence, a) 