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arlik [135]
3 years ago
9

I will give you brainliest, if you provide an accurate explanation.

Mathematics
2 answers:
Molodets [167]3 years ago
8 0

Answer:

sqrt(i) =0.707106781 + 0.707106781 i

Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).

The natural numbers are the set of counting numbers

• There are infinitely many numbers in a set of numbers.

• The natural numbers are "closed" under addition and multiplication.

The addition of two natural numbers creates another natural number.

The multiplication of two natural numbers creates another natural number.

closed under addition and multiplication.

BUT ...

The subtraction of two natural numbers does NOT necessarily create another natural number

The division of two natural numbers does NOT necessarily create another natural number  

The whole numbers are the set of counting numbers (natural numbers) along with zero

   

• There are infinitely many numbers in this set of numbers.

• The set of whole numbers is "closed" under addition and multiplication.

Integers:

• The integers are the set of all of the natural numbers,

    plus their additive inverses and zero

• The integers are "closed" under addition, multiplication and subtraction,

    but NOT under division

Rational Numbers:

• The rational numbers are the set of numbers which can be expressed as a ratio

    (a fraction) between two integers.

• Integers are rational numbers since 5 can be written as the fraction 5/1.

• Decimals which terminate are rational numbers.

• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...

• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.

Irrational Numbers:

The irrational numbers are the set of number which can NOT be written as a ratio (fraction).

• Decimals which never end nor repeat are irrational numbers.

• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

• Examples of irrational numbers: rad2, π

Vera_Pavlovna [14]3 years ago
7 0

This is figured out by first figuring out that:

√(√(i)) = i^{1/4\\}

Let \sqrt{i} be a + bi.

Square both sides to get i = (a + bi)(a + bi)

So, i = a² - b² + 2abi

a² - b² is the real part. The real part is 0.

0 + i = a² - b² + 2abi

a² - b² = 0

i = 2abi

2ab = 1

ab = 1/2

b = 1/2a

Now, since a² - b² = 0,

a² - (1/2a)² = 0

a² - 1/(4a²) = 0

\frac{(4a^{4}-1 )}{4a^{2} } = 0

That means the numerator MUST be 0.

(4a^{4}-1 )} = 0

4a^{4} = 1

a^{4} = 1/4

a = ± \frac{1}{\sqrt{2} }

if a = \frac{1}{\sqrt{2} } , then b = \frac{1}{\sqrt{2} }

If a = -\frac{1}{\sqrt{2} } , then b = -\frac{1}{\sqrt{2} }

So, it's either a = -\frac{1}{\sqrt{2} }  and b = -\frac{1}{\sqrt{2} } , or a = \frac{1}{\sqrt{2} }  and b = \frac{1}{\sqrt{2} }

That's why sqrt(i) =0.707106781 + 0.707106781i, or sqrt(i) = -0.707106781 - 0.707106781i

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A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the ta
kicyunya [14]

Answer:

The debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Step-by-step explanation:

The assignment of how much is owed to the responsible party is the major reason of a proration.

For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.

Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67

Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63

Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29

Therefore, the debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

8 0
2 years ago
The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue ma
allsm [11]
The correct answer for the question that is being presented above is this one:

We want to pull 11 (this means not including 12) or less from the bag and there are 100 possibilities
= 11/100
So the probability is <span>11/100</span>
4 0
2 years ago
6. Find how long it takes $600 to double if it is invested at 12%
ioda

Answer:

A = $697.09

Step-by-step explanation:

A = P (1 + r/n)

A = 600 (1 + 0.05/365)

A = $697.09

5 0
3 years ago
What are the chances your flight will leave on time? Below are a histogram and summary statistics for the percentage of flights
Jet001 [13]

Answer:

80.0456<\bar x<81.1210

Step-by-step explanation:

-Given the mean, \bar y=80.5833 and s=2.77369, the confidence interval can be calculated using the formula:

\bar x\pm z\times \frac{\sigma}{\sqrt{n}}

#We substitute our values in the formula to solve for CI:

=\bar x\pm z\times \frac{\sigma}{\sqrt{n}}\\\\=\bar y\pm z_{0.05}\times \frac{s}{\sqrt{72}}\\\\=80.5833\pm 1.645\times \frac{2.77369}{\sqrt{72}}\\\\=80.5833\pm0.5377\\\\=[80.0456,81.1210]

Hence, the confidence interval lies between 80.0456 and 81.1210

4 0
3 years ago
The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct
Aleonysh [2.5K]
Hmm

2 times 4=8
3 times 8 is not 27



1 times 1=1
2 times 4=8
3 times 9=27

aka
1 times 1^2=1
2 times 2^2=8
3 times 3^2=27
x times x^2=x^3

the rule is y=x^3

3 0
3 years ago
Read 2 more answers
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