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DENIUS [597]
3 years ago
10

Helpppppppppppp ASAP THANKS

Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0

(2+i)^3=(i+2)^3 ↝ Properties

(x+y)^3=x^3+3x^2y+3xy^2+y^3\\(i+2)^3=i^3+3(i)^2(2)+3(i)(2)^2+2^3\\(i+2)^3=i^3+6i^2+12i+8

Proceed with define of complex number.

i=\sqrt{-1}\\i^2=-1\\i^3=-i\\i^4=1

-i-6+12i+8\\2+11i

Therefore, the answer is 2 + 11i

strojnjashka [21]3 years ago
4 0

Answer:

c or d

Step-by-step explanation:

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Dylan is evaluating the expression 13 + 19 + 7 + 10. At one step in his work, Dylan rewrites the equation as 13 + 7 + 19 + 10. W
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Read 2 more answers
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func
djyliett [7]

Answer:

y=120 * 1.1^x --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

x \to months

y \to mice

So, we have:

(x_1,y_1) = (0,120) --- Monday

(x_2,y_2) = (1,132) --- One month later

Required

The function

The function is represented as:

y=ab^x

In (x_1,y_1) = (0,120), we have:

120 = a * b^0

120 = a * 1

120 = a

a=120

In (x_2,y_2) = (1,132), we have:

132 = a * b^1

132 = a * b

Substitute: a=120

132 = 120 * b

Solve for b

b = \frac{132}{120}

b = 1.1

So, the function is:

y=ab^x

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y =a(1 + r)^x

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1 + r = b

Make r the subject

r = b-1

Substitute b = 1.1

r = 1.1-1

r = 0.1

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