I need help please ty

What are the real and imaginary parts of z ?<br><br> z = 32 + 41.9i

goblinko [34]

Answer:

The real part is 32, while the imaginary part is 41.9

Step-by-step explanation:

z is a complex number. A complex number is made up of real and imaginary parts.

The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.

i is actually equal to $\sqrt{-1}$ . There is no solution for that.

Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.

Note: the imaginary part does not contain i.

5 0

3 years ago

The product of 5 and a number is at least 20

Natasha_Volkova [10]

this is the best thing i could find for you, good luck with your question,

5x is greater than or equal to -25

The product of 5 and a number is at least –25

we convert the given statement into inequality

product means multiplication

Let x be the unknown number

product of 5 and a number is 5x

5x is at least -25

For word at most we use <=

for word at least we use >=

So the expression becomes 5x <= -25

6 0

3 years ago

Given f of x is equal to 1 over the quantity x minus 3 end quantity and g of x is equal to the square root of the quantity x plu

Lostsunrise [7]

The domain of the composite function is given as follows:

[–3, 6) ∪ (6, ∞)

<h3>What is the composite function of f(x) and g(x)?</h3>

The composite function of f(x) and g(x) is given as follows:

$(f \circ g)(x) = f(g(x))$

In this problem, the functions are:

$f(x) = \frac{1}{x - 3}$ .

$g(x) = \sqrt{x + 3}$

The composite function is of the given functions f(x) and g(x) is:

$f(g(x)) = f(\sqrt{x + 3}) = \frac{1}{\sqrt{x + 3} - 3}$

The square root has to be non-negative, hence the restriction relative to the square root is found as follows:

$x + 3 \geq 0$

$x \geq -3$

The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:

$\sqrt{x + 3} - 3 \neq 0$

$\sqrt{x + 3} \neq 3$

$(\sqrt{x + 3})^2 \neq 3^2$

$x + 3 \neq 9$

$x \neq 6$

Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:

[–3, 6) ∪ (6, ∞)

More can be learned about composite functions at brainly.com/question/13502804

#SPJ1

7 0

2 years ago

A model of ------- behavior, Cunningham never ate or

Eduardwww [97]

A model of <u>temperate</u> behavior, Cunningham never ate or drank to excess.

The correct option A.

<h3>Explanation:</h3>

"Temperate" in this context refers to moderation in the indulgence of appetite. If one were to insert this term into the text, the sentence would read "A model of temperate behavior, Cunningham never ate or drank to excess." The comma indicates that the second half of the sentence will illustrate Cunningham's behavior. Someone who never consumes too much does indeed exhibit "temperate behavior."

<h3>What is temperate behavior?</h3>

Temperate denotes gentle or moderate. Temperate people are calm and reasonable. It's warm and sunny, but not too hot if you live in a temperate climate. Temperate, like other terms with similar sounds, has to do with measurement and range.

To know more about temperate behavior visit:

brainly.com/question/17173491

#SPJ4

3 0

2 years ago

Find S10 for -1 + -7 + -13 + -19

Alex777 [14]

First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6

now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54
a10 = - 55

now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280

so the sum of the first 10 numbers is -280

4 0

3 years ago