<h3>
Answer: -i</h3>
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Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
- i^0 = 1
- i^1 = i
- i^2 = -1
- i^3 = i*i^2 = i*(-1) = -i
- i^4 = (i^2)^2 = (-1)^2 = 1
By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
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Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
<h3>
-i is the final answer</h3>
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Side notes:
- if i^a = i^b, then a-b is a multiple of 4
- Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
Answer:
Adrian would spend exactly $4,284.
Step-by-step explanation:
Multiply the cost by the number of products purchased:
$238 x 18 = $4,284
Have a good day :)
Answer:
Please restate your question.
It needs the y-intercept to be decipherable.
Step-by-step explanation:
Answer: 0.6
Why: 1/3 * 1/5= 0.066
0.066+8/15= 0.6
Hope this Helps :D
Answer:
$76.80
Step-by-step explanation:
120/80 equals how many times the next route is larger than the first one. Which is 1.5 times larger.
Take the first earning of 51.20 and multiply by 1.5 to get 76.80
120/80=1.5
51.20*1.5=76.8
On the next route the truck driver earns $76.80.
