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3 years ago

Due to the increased interdependence between buyers and sellers and the mutual desire to reduce risk of the unknown:

1 answer:

7 0

The thought of loosing money and being a failure is the one thing you must have confidence and start each day as if it was your last

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Let $S$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. We say that $z \in S$ is a unit if t

lakkis [162]

Answer:

Number of units possible in S are 4.

Explanation:

Given S is a set of complex number of the form $a+bi$ where a and b are integers.

$z\in S$ is a unit if $w\in z$ exists such that $zw=1$ .

To find:

Number of units possible = ?

Solution:

Given that:

$zw = 1$

Taking modulus both sides:

$|zw| = |1|$

Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.

i.e.

$|z_1z_2|=|z_1|.|z_2|$

So,

$|zw| = |1|\\\Rightarrow |zw| =|z|.|w| =1\\\Rightarrow |z|=\dfrac{1}{|w|}$ ......... (1)

Let $z=a+bi$

Then modulus of z is $|z| = \sqrt{a^2+b^2}$

Given that a and b are integers, so the equation (1) can be true only when $|z| = |w| =1$ (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:

(a = 1, b = 0) , (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)

So, the possible complex numbers can be:

$1.\ 1 + 0i = 1\\2.\ -1 + 0i = -1\\3.\ 0+ 1i = i\\4.\ 0 -1i = -i$

Hence, number of units possible in S are 4.

6 0

3 years ago

Isaiah is lucky to have such talented friends. Here’s where you come in:

anygoal [31]

Answer:

I can't figure it out sorry

5 0

3 years ago

Read 2 more answers

1.different types of socialization?

patriot [66]

Answer:

Primary and secondary

Explanation:

Generally there are 5 types of socialisation.

1. Primary

2. Secondary

3.Anticipatory

4. Development

5. Resocialisation.

But the common are primary and secondary

6 0

3 years ago

Read 2 more answers

Roland Richard, a baker, purchased 200 ounces off of an expensive spice for $400 on 3/1/09. The journal entry to record the purc

kirill [66]

Answer:

The correct adjusting journal entry for 12/31/09:

D. debit Spice Expense and credit Spice Inventory 240

Explanation:

Roland Richard purchased 200 ounces off of an expensive spice for $400.

Cost per ounce = $400/200 = $2

By December, 12/31/09, there were 80 ounces on hand. Roland Richard used 120 ounces of expensive spice with the amount of expense: $2 x 120 = $240

The adjusting journal entry for 12/31/09:

Debit Spice Expense $240

Credit Spice Inventory $240

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3 years ago

Aside from advertising, how can monopolistically

kobusy [5.1K]

This type of marketing is known as imperfect competition as many companies are selling similar products, but the products arenâ€™t similar enough to compete with each other in the market. One way that a company in this type of market can get the most for their money is by producing goods that have a marginal revenue that equals the marginal cost. The company also can continue to develop new products in order to keep us with the demands of its customers. In order to increase the demand for their product, the company may improve its quality and design in order to make it more useful for its customers.

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3 years ago