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3 years ago

Is 0 a complex, pure imaginary, and a nonreal complex number?

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

First, 0 doesn't have any i values, so 0 is not pure imaginary.

Also, 0 <em>is</em> indeed a real number, so it is not a "non-real complex number."

Therefore, the only option left is that 0 is a complex number, and 0 is indeed a complex number.

The answer is A.

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Step-by-step explanation:

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Dilution Problem

LUCKY_DIMON [66]

Answer:

76.7 liters

Step-by-step explanation:

You have ...

C1×V1 = C2×V2

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3 years ago

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:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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2 years ago