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3 years ago

How can a conjugate be created from a complex number?

2 answers:

8 0

A conjugate can be created from a complex number The complex conjugate formula is a+bi is a -bi change the signs of the complex number (a-bi is a+bi) the real part is left unchanged.

ratelena [41]3 years ago

5 0

Remember that (a-b)(a+b)=a²-b²
and (imaginary number)²=real

so if we have a+bi, then a-bi is the conguate because (a+bi)(a-bi)=a²+b²

if the complex number is a+bi the conjucate is a-bi

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What is the value of c in the equation below? 24.2²= abac

Bingel [31]

Answer:

The value of c in the equation c =6.

Step-by-step explanation:

In mathematics, a perfect square or a square number is an integer that is the square of an integer. In different words, it is the product of an integer with itself. For example, 9 is a square number because it can be written in 3 × 3.

The normal notation for the square of a number n is not the product n × n, but the equivalent exponentiation n2, which is generally pronounced as "n square". The square number of the name results from the name of the form. The unit area is defined as the area of a unit square (1 × 1). Consequently, a square of lateral length n has the area n2.

Square numbers are not negative. Another way to say that an integer (not negative) is a square is to make its square root an integer again.

For example, √9 = 3, so, 9 is a quadratic number.

A positive integer that has no perfect square divisors other than one is called without a square.

24.2² = 24.2 × 24.2 =585.64=abac.

From above equation, a=5,b=8,c=6.

5 0

4 years ago

Angelica is a sales representative for appliance. She needs to make at least $5,000 in weekly sales of a particular TV model to

Basile [38]

Answer:

20 TV need to be sold to qualify for the trip.

Step-by-step explanation:

Given: Sale price of each TV is $250

Sales target to qualify for trip is $5000.

As given, T represent TV sold.

Now, finding the number of TV sold to qualify for the trip.

Forming an inequality for the number of TV sold to qualify for trip.

We know, Total amount of TV sold= $Selling\ price\ of\ each\ TV \times Number\ of\ TV\ sold$

∴ To qualify for trip: $250T\geq 5000$

solving it by dividing both side by 250

∴ $T\geq \frac{5000}{250}$

$T\geq 20\ TV$

Hence, Angelica need to sell minimum 20 TV to qualify for the trip.

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4 years ago

Find the common ratio of the geometric sequence 8 , 16 , 32 , . . . 8,16,32,...

Semmy [17]

What is the question?

5 0

3 years ago

Identify the slope and the y-intercept in the equation y = -3/4x + 3. Please make sure to say which is the slope and which is th

Liula [17]

Answer:

the y -intercpt is the 3

the slope is -3/4

Step-by-step explanation:

this is because the 3 is the starting point on the y-axis and the slope is -3/4 because you are going down 3 to the right 4 ---hope this helps

5 0

4 years ago

Read 2 more answers

A survey of magazine subscribers showed that 45.2% rented a car during the past 12 months for business reasons, 56% rented a car

IgorLugansk [536]

Answer:

a. 0.692 or 69.2%; b. 0.308 or 30.8%.

Step-by-step explanation:

This is the case of the probability of the sum of two events, which is defined by the formula:

$\\ P(A \cup B) = P(A) + P(B) - P(A \cap B)$ (1)

Where $\\ P(A \cup B)$ represents the probability of the union of both events, that is, the probability of event A plus the probability of event B.

On the other hand, $\\ P(A \cap B)$ represents the probability that both events happen at once or the probability of event A times the probability of event B (if both events are independent).

Notice the negative symbol for the last probability. The reason behind it is that we have to subtract those common results from event A and event B to avoid count them twice when calculating $\\ P(A \cup B)$ .

We have to remember that a sample space (sometimes denoted as S) is the set of the all possible results for a random experiment.

<h3>Calculation of the probabilities</h3>

From the question, we have two events:

Event A: event subscribers rented a car during the past 12 months for business reasons.

Event B: event subscribers rented a car during the past 12 months for personal reasons.

$\\ P(A) = 45.2\%\;or\;0.452$

$\\ P(B) = 56\%\;or\;0.56$

$\\ P(A \cap B) = 32\%\;or\;0.32$

With all this information, we can proceed as follows in the next lines.

The probability that a subscriber rented a car during the past 12 months for business or personal reasons.

We have to use here the formula (1) because of the sum of two probabilities, one for event A and the other for event B.

Then

$\\ P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$\\ P(A \cup B) = 0.452 + 0.56 - 0.32$

$\\ P(A \cup B) = 0.692\;or\;69.2\%$

Thus, the probability that a subscriber rented a car during the past 12 months for business or personal reasons is 0.692 or 69.2%.

The probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons.

As we can notice, this is the probability for the complement event that a subscriber did not rent a car during the past 12 months, that is, the probability of the events that remain in the sample space. In this way, the sum of the probability for the event that a subscriber rented a car plus the event that a subscriber did not rent a car equals 1, or mathematically:

$\\ P(\overline{A \cup B}) + P(A \cup B)= 1$

$\\ P(\overline{A \cup B}) = 1 - P(A \cup B)$

$\\ P(\overline{A \cup B}) = 1 - 0.692$

$\\ P(\overline{A \cup B}) = 0.308\;or\;30.8\%$

As a result, the requested probability for a subscriber that did not rent a car during the past 12 months for either business or personal reasons is 0.308 or 30.8%.

We can also find the same result if we determine the complement for each probability in formula (1), or:

$\\ P(\overline{A}) = 1 - P(A) = 1 - 0.452 = 0.548$