Answer:
B
Step-by-step explanation:
The gcf is 4 therefore all you have to do is look at the number not in ()
Answer:
63
Step-by-step explanation:
Total groups: 21
number of students in each group: 3
total = 21 *3 =63
Good evening ,
______
Answer:
(4c-d+0.2)² - 10c = 33
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Step-by-step explanation:
(4c-d+0.2)^2-10c
c=3.1, d=4.6
(4(3.1) - 4.6 + 0.2)² - 10(3.1) = (12.4 - 4.6 + 0.2)² - 31 = (7.8 + 0.2)² -31 = 8² - 31 = 64-31 =33.
:)
<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.
