Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.
Step-by-step explanation:
last one is the solution u should choose
<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:
Step-by-step explanation:
If we solve for the surface area for each of the 14 cubes, we will come up with a surface area larger than the shape. The best way to go around this is to solve for each face of the shape.
The shape has a total of 42 faces.
The volume of a cube is s³, each cube is 
or can be converted to 
. So a single cube have edges that are 
.
The area of a single face of each cube is 
. We can also write this as 
.
Now that we have the area of a single face in the shape, we simply multiply the area by 42 faces.
Surface Area = x 42
Surface Area =
