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BlackZzzverrR [31]

3 years ago

15

Z = -400i - 44.5 What is the imaginary part of z?

1 answer:

hjlf3 years ago

6 0

Answer:

-400i

General Formulas and Concepts:

<u>Algebra II</u>

Complex Form: a + bi

Step-by-step explanation:

<u>Step 1: Define</u>

z = -400i - 44.5

<u>Step 2: Identify</u>

Treat imaginary <em>i</em> as a variable. The imaginary part of z would be the entire term of <em>i</em>. Therefore, our answer is -400i

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Plz help ill give you brainlist to you

Nastasia [14]

First one the answer is A; Alexander needs 70 ft

8 0

3 years ago

ky has 3 times more books than grant and grant has 6 fewer books than Jaime if the total combined number of books is 176 how man

sergiy2304 [10]

Number of books each of them have:

Jaime: x
Grant: x - 6
Ky: 3 (x - 6)

There are 176 books in total, so we can write it down as:

176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24 / + 24 (both sides)
5x = 200 / ÷ 5 (both sides)
x = 40

Doublecheck:

Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102

102 + 34 + 40 = 176, so it's correct :)

5 0

3 years ago

Read 2 more answers

A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect

Elodia [21]

Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

The information provided is:

$P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99$

Compute the probability that a person does not have the disease as follows:

$P(D^{c})=1-P(D)=1-0.88=0.12$

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

$P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264$

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

$P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188$

Compute the probability that a randomly selected person is tested negative as follows:

$P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})$

$=0.0264+0.1188\\=0.1452$

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

4 0

3 years ago

The rectangle below has an area of x² – 6x – 7 square meters and a width of 3 – 7 meters.

natta225 [31]

Answer:

The expression which represent the length of the rectangle is x + 1

Step-by-step explanation:

Given as :

The Area of rectangle = x² - 6 x - 7 square meters

The width of the rectangle = w = x - 7 meters

Let The length of rectangle = L meters

Now, <u>According to question</u>

∵ Area of Rectangle = Length × width

or, x² - 6 x - 7 meters² = L meters × w meters

or, x² - 6 x - 7 = L × (x - 7)

or, x² - 7 x + x - 7 = L × (x - 7)

or, x (x - 7) + 1 (x - 7) = L × (x - 7)

or, (x - 7) (x + 1) = L × (x - 7)

∴ L = $\frac{(x - 7)\times (x + 1)}{(x - 7)}$

I,e L = x + 1

So, The length of rectangle = L = x + 1

Hence,The expression which represent the length of the rectangle is x + 1 Answer

8 0

3 years ago

8) Ninety-one is 65% of what number?

lutik1710 [3]

Answer : 140
140 times 40% = 65 so the answer is 140

4 0

3 years ago

Read 2 more answers