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3 years ago

What's the complex conjugate of 13-21i

1 answer:

3 0

The complex conjugate of 13-21i is 1.3+ 2i.

In general the conjugate of a+bi is a - bi
and the conjugate of a-bi is a + bi

You might be interested in

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

Aleksandr-060686 [28]

Answer:

Range = 71

Variance = 546.0

Standard Deviation = 23.4

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

We are given the following data set in the question:

33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{646}{11} = 58.7$

Sum of squares of differences = 5460.18

$\text{Variance} = \frac{5460.18}{11} = 546.0$

$S.D = \sqrt{\frac{5460.18}{10}} = 23.4$

Sorted Data Set: 26, 29, 33, 47, 56, 58, 65, 74, 78, 83, 97

Range = Maximum - Minimum

Range = 97 - 26 = 71

Based on the values, we can say that

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

6 0

3 years ago

Subtract. Write the difference in simplest form.<br><br>(5n - 3) - (-2n + 7)

kolezko [41]

Answer:

Simplifying

(5n + -3) + -1(-2n + 7) = 0

Reorder the terms:

(-3 + 5n) + -1(-2n + 7) = 0

Remove parenthesis around (-3 + 5n)

-3 + 5n + -1(-2n + 7) = 0

Reorder the terms:

-3 + 5n + -1(7 + -2n) = 0

-3 + 5n + (7 * -1 + -2n * -1) = 0

-3 + 5n + (-7 + 2n) = 0

Reorder the terms:

-3 + -7 + 5n + 2n = 0

Combine like terms: -3 + -7 = -10

-10 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n

-10 + 7n = 0

Solving

-10 + 7n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0

0 + 7n = 0 + 10

7n = 0 + 10

Combine like terms: 0 + 10 = 10

7n = 10

Divide each side by '7'.

n = 1.428571429

Simplifying

n = 1.428571429

3 0

3 years ago

a store sells 14.5- ounces cans of tomatoes for $0.89 each. if the store sells 35 cans one day, how many total ounces of tomatoe

solniwko [45]

Answer:

451.675

Step-by-step explanation:

14.5x35=507.5

507.5x0.89=451.675

4 0

3 years ago

Factor the following , it is not prime

MrMuchimi

So 1/9-16z^2 this is a diffirence of two perfect squares thing
so (1/3)^2-(4z)^2
so ((1/3)-4z)((1/3)+4z)

4 0

3 years ago

Which is the zero of the function f(x)=(x+3) (2x-1)(x+2) ?

Scrat [10]

Answer:

x= -3 x = 1/2 x=-2

Step-by-step explanation:

f(x)=(x+3) (2x-1)(x+2)

Set equal to zero

0 =(x+3) (2x-1)(x+2)

Using the zero product property

x+3 =0 2x-1 =0 x+2 =0

x= -3 2x =1 x = -2

x= -3 x = 1/2 x=-2

6 0

3 years ago