I'm just going to take a chance and say 1.A, and 2.D.
<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:
Hey the answer is = 24x
Step-by-step explanation:
An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.
HOPE THIS HELPS!
30 divided by 2 = 15. then 15 multiply by 176 = 2,640. so, your ans is 2,640 (A).
Two fractions that are equal to 2/5 are 4/10 and 6/15. In order to find fractions that are equal to it, just multiply both the numerator and the denominator by any number. I multiplied them by 2 and 3, to keep things simple.
2 x 2 = 4
2 x 5 = 10
4/10
2 x 3 = 6
5 x 3 = 15
6/15
Hope this helps!
