Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
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x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
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<u>-1 + 4i</u> = 4 + i
i
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x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
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(1 + i) (-3 - 4i)
= 1 - 7i
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6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
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7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
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8.
(7 - i) - (-5 + 6i)
= 12 - 7i
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9.
(4 - i) (4 + i)
= 17
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10.
(3 + 8i) (4 - 3i)
= 36 + 23i
Answer:
Tn = 4n+3
Step-by-step explanation:
It is an Arithmetic Sequence
a=7
d=11-7 =4
Tn= a+(n-1)d
= 7+(n-1)4
= 7+4n-4
= 4n+3
Answer:
See explanation
Step-by-step explanation:
Required
The average weight produced
The question is incomplete, as the required cells are not given and there are other missing details.
However, I will give a general explanation of calculating average in Excel
The required formula is:
=AVERAGE(Cell Range)
Assume the cells that contain the boxes are: cells A10 to A10010
The average will be calculated as:
=AVERAGE(A10:A10010)
On the top problem: Angle A and Angle B are a right angle so it equals 90 degrees. If Angle B is 50 degrees that makes Angle A 40 degrees. Angle A and Angle C is a straight line and equals 180 degrees so if Angle A equals 40 degrees that means Angle C equals 140 degrees.
Answer: The approximate area of the circle is: <span>3,629.84 cm² .</span>
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Area of a circle, "A" : A = π * r² ;
in which: A = Area of circle ;
π <span>≈ 3.14 ;
</span> r = radius;
radius of a circle, "r" = d / 2 ; in which: "d = diameter" ;
Given "d = 64 cm " ;
r = d / 2 = 64 cm / 2 = 32 cm ;
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So; A = π * r² ;
A ≈ (3.14) * (32 cm)² ;
A ≈ (3.14) * (1156 cm²) ;
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A ≈ 3,629 .84 cm² .
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