Answer:
![4+6i-6i^2+3i^3-4i^4=6+3i](https://tex.z-dn.net/?f=4%2B6i-6i%5E2%2B3i%5E3-4i%5E4%3D6%2B3i)
Step-by-step explanation:
Given the expression
![4+6i-6i^2+3i^3-4i^4](https://tex.z-dn.net/?f=4%2B6i-6i%5E2%2B3i%5E3-4i%5E4)
as
![i^2=-1\\](https://tex.z-dn.net/?f=i%5E2%3D-1%5C%5C)
so
![=4+6i-\left(-6\right)-3i-4i^4](https://tex.z-dn.net/?f=%3D4%2B6i-%5Cleft%28-6%5Cright%29-3i-4i%5E4)
Group like terms
![=-4i^4+6i-3i+4+6](https://tex.z-dn.net/?f=%3D-4i%5E4%2B6i-3i%2B4%2B6)
Add similar items
![=-4i^4+3i+4+6](https://tex.z-dn.net/?f=%3D-4i%5E4%2B3i%2B4%2B6)
Add the numbers
![=-4i^4+3i+10](https://tex.z-dn.net/?f=%3D-4i%5E4%2B3i%2B10)
![=6+3i](https://tex.z-dn.net/?f=%3D6%2B3i)
Thus,
![4+6i-6i^2+3i^3-4i^4=6+3i](https://tex.z-dn.net/?f=4%2B6i-6i%5E2%2B3i%5E3-4i%5E4%3D6%2B3i)
Step-by-step explanation:
Quesion 1
The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs
hence, cost per chair= 150/50= $3 per chair
Question 2
let us find the number of walnuts per bag
= 330/6
=55 walnuts per bag
hence in two bags there will be 55*2= 110 walnuts
Question 3
Option D is an example of a unit rate.
The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week
The unit rate in minutes per meter for filling the given aquarium to a depth of 2/4 meters will be 8 minutes per meter.
We have,
Time taken to fill an aquarium to a depth of
m = 4 minutes,
So,
Time = 4 minutes,
And,
Depth =
m,
Now,
The unit rate in minutes per meter,
So,
We will Now convert given depth fraction,
i.e.
Depth =
= 0.5m,
So,
It takes 4 minutes to fill a half meter,
Then,
To fill a meter it will take =
= 8 minutes
So,
The unit rate in minutes per meter is 8 minutes per meter.
Hence we can say that the unit rate in minutes per meter for filling the given aquarium to a depth of 2/4 meters will be 8 minutes per meter.
Learn more about unit rate click here
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Answer: No
Step-by-step explanation: The length isn't 90 degree's so it can't be a right triangle