Answer:
5 + i
Step-by-step explanation:
The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.
Now, in our case (5 - i) is a root of a polynomial.
The complex number (5 - i) has conjugate and it is (5 + i).
Therefore, (5 + i) will also be a root of the same polynomial. (Answer)
180 / 0.03 = 6000
answer
amount of sales = $6,000
The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
<h3>What is a Cylindrical figure ?</h3>
A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.
It does not have an edges or vertices.
It is given in the question that
A cylinder with height 14 feet and radius 25 feet.
The volume of a cylinder.
V = π252(14)
The water than can be filled is equal to the volume of the cylinder
V = 11088 cu.ft
There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
To know more about Cylindrical Figure
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<em>Natural Numbers. {1, 2, 3, 4…..} These are also called Counting Numbers, and they're the numbers that can be used for counting.</em>
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
</span>
