The correct answer is option C.
The solution is shown below:
(8 - 3i)(6 + 5i)
= 8(6 +5i) - 3i(6 + 5i)
= 48 + 40i - 18i - 15i²
= 22i + 48 - 15(-1)
= 22i + 48 + 15
= 22i + 63
= 63 + 22i
Answer:
# red marbles = 25
# blue marbles = 7
Step-by-step explanation:
r + b = 32
r = 4 + 3b
substitute '4 + 3b' for 'r' in the 1st equation
4 + 3b + b = 32
4 + 4b = 32
4b = 28
b = 7
red = 32 - 7
r = 25
Answer:
The UPC is not valid..
Step-by-step explanation:
The Universal Price Code is represented in the form of bars which is scanned when we purchase something.
The last digit of the UPC is the check digit.
Give UPC = 375407370090
To check whether the UPC is valid or not.
Step 1:
Add the digits at odd positions.
3 + 5 + 0 +3 + 0 + 9 = 20
Step 2:
Multiply the number obtained in step 1 by 3
20*3 = 60
Step 3:
The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.
7 + 4 + 7 +7 +0 = 25
Step 4:
Add the numbers obtained in Step 2 and step 3
60 + 25 = 85
Step 5:
The number obtained in step 5 is subtracted from the next multiple of 10.
In the above case,
85 will be subtracted from 90.
90 - 85 = 5
For a valid UPC, the answer to step 5 is equal to the last digit of UPC.
In the above case, the answer is 5 which is not equal to zero.
So, the UPC is not Valid.
B. They are both proportionate, but dont have the same dimensions as one another
