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Darina [25.2K]
3 years ago
8

Which of the following is a complex number?

Mathematics
1 answer:
daser333 [38]3 years ago
5 0

Answer:

C.3 \sqrt{ \frac{7}{5} }  +  \sqrt{ -  \frac{9}{5} }

Step-by-step explanation:

Recall that:

\sqrt{ - 1}  = i

For this particular question, you just have to look for the radical containing a negative sign under the square root i.e a negative radicand.

That will be option C.

This is given as

3 \sqrt{ \frac{7}{5} }  +  \sqrt{ -  \frac{9}{5} }

This can be rewritten to reveal the complex part as:

3 \sqrt{ \frac{7}{5} }  +  \sqrt{ \frac{9}{5} }i

Therefore the correct answer us option C

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Problem<br> How many numbers between 111 and 100100100 (inclusive) are divisible by 101010 or 777?
olga2289 [7]

I suspect you meant

"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"

• Count the multiples of 10:

⌊100/10⌋ = ⌊10⌋ = 10

• Count the multiples of 7:

⌊100/7⌋ ≈ ⌊14.2857⌋ = 14

• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and

⌊100/70⌋ ≈ ⌊1.42857⌋ = 1

(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)

Then using the inclusion/exclusion principle, there are

10 + 14 - 1 = 23

numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.

6 0
3 years ago
Answer this please. Best answer/correct answer gets Brainliest.
Lynna [10]

Perpendicular lines, C is the answer.

To solve this equation, Simplify the first and then the second.

First will be solved like: -y=3x+3, y=-3x-3. The second will be simplified as: 9y=3x+2, y=1/3x+2/9. Then you divide by 3.t.

3 0
3 years ago
Read 2 more answers
You have $12 to spend on pizza. It costs $9 plus $0.75 for each additional topping, tax included. Write and solve
nata0808 [166]

Answer:

9 + 0.75x =12     x=4

Step-by-step explanation:

7 0
3 years ago
Which of the following represents a Type I error for the null and alternative hypotheses H0:μ≤$3,200 and Ha:μ&gt;$3,200, where μ
Nuetrik [128]

Answer:

Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.        

Step-by-step explanation:

We are given the following information in the question:

H_{0}: \mu \leq \$3,200\\H_A: \mu > \$3,200

where μ is the average amount of money in a savings account for a person aged 30 to 40.

Type I error:

  • Type I error is also known as a “false positive” and is the error of rejecting a null  hypothesis when it is actually true.
  • In other words, this is the error of accepting an  alternative hypothesis when the results can be  attributed by null hypothesis.
  • A type I error occurs during the hypothesis testing process when a null hypothesis is rejected, even though it is correct and should not be rejected.

Thus, in the above hypothesis type  error will occur when we reject the null hypothesis even when it is true.

Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.

3 0
3 years ago
An automotive mechanic charges a flat diagnostic fee of $25 to diagnose the problem in a vehicle and $65 per hour for labor to f
Murljashka [212]
25+65+30
I hope I helped ya
6 0
3 years ago
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