1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
qwelly [4]
3 years ago
15

Find the additive inverse of -7+5i.

Mathematics
1 answer:
Deffense [45]3 years ago
4 0

Answer:

Required additive inverse is -7-5i.

Step-by-step explanation:

Given number is -7+5i.

Now we need to find about what is that additive inverse of the given number -7+5i.

We know that if complex number is a+bi then it's additive inverse is given by a-bi.

Basically we need to change the sign of imaginary term.

imaginary term in given number -7+5i is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is -7-5i.

You might be interested in
Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker
LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

The z score probability distribution for normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma} ~  N(0,1)

where, \mu = population mean score = 514

           \sigma = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X \leq 455)

       P(X < 573) = P( \frac{X-\mu}{\sigma} < \frac{573-514}{118} ) = P(Z < 0.50) = 0.69146

       P(X \leq 2.9) = P( \frac{X-\mu}{\sigma} \leq \frac{455-514}{118} ) = P(Z \leq -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

7 0
3 years ago
Help me with this... ​
marin [14]

i. 171

ii. 162

iii. 297

Solution,

n(U)= 630

n(I)= 333

n(T)= 168

i. Let n(I intersection T ) be X

333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \:  - x = 630 - 801 \\ or \:  - x =  - 171 \\ x = 171

<h3>ii.n(only I)= n(I) - n(I intersection T)</h3><h3> = 333 - 171</h3><h3> = 162</h3>

<h3>iii. n ( only T)= n( T) - n( I intersection T)</h3><h3> = 468 - 171</h3><h3> = 297</h3>

<h3>Venn- diagram is shown in the attached picture.</h3>

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
19. A diagonal of a quadrilateral is 26 cm and the perpendiculars drawn to it from the opposite
julsineya [31]
Akdjsjdjsjdsndjskswieieieie
3 0
2 years ago
Air is a solution composed of 78% nitrogen and 21% oxygen. Identify the solute and the solvent. *
bagirrra123 [75]

Answer:

nitrogen is the solvent and oxygen is the solute

Step-by-step explanation:

Most of the time the solute will be present in a smaller quantity and the solvent will appear in a larger quantity.

3 0
3 years ago
Read 2 more answers
Can someone help? 25 points
denpristay [2]

Answer:

the answer is 157

Step-by-step explanation:

i had a test with the same question, i promise its right :)

7 0
3 years ago
Other questions:
  • Natalie is buying potatoes at the grocery store. If she buys 6 potatoes that each have a mass of 375 grams, what is the total ma
    12·2 answers
  • At a factory, Taj produces 23 toys per hour and Rosa produces 47 toys per hour. How many hours will it take for
    13·1 answer
  • What is an example of when you might need to use decimals and other rational numbers in everyday life?
    10·1 answer
  • 12<br> What is the product?<br> x²_16/ -x² – 2x² + x/<br> 2x+8 x² + 3x-4
    14·1 answer
  • A form of reasoning called _____ is the process of forming general ideas and rules based on your experiences and observations.
    6·2 answers
  • About Exercise 2.3.1: Proving conditional statements by contrapositive Prove each statement by contrapositive
    6·1 answer
  • Jenny walked 2.5 miles in 50 minutes . At this rate , how many minutes did it take her to walk 1 mile ?
    6·2 answers
  • What is the slope of the line through (2,5) and (-1,2)?
    14·1 answer
  • Help me Plz if you answer correctly I will choose u as brainliest
    13·2 answers
  • Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!