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
arsen [322]
3 years ago
12

The modulus of (3 - 4i)^4 is _____. 5 20 81 625

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

\sqrt{3^2+(-4)^2} = \sqrt{9+16} = \sqrt{25} = 5, thus

| (3-4i)^{4} |

= 5^{4}

= 625

You might be interested in
The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 10^7. What is the approximate
ivann1987 [24]
With scientific notation remember this rule; if the exponent is positive, move the decimal point that many places to the right. If it is negative move it that many places to the left. What that will do is make the number larger or smaller to the correct value.
 
So for example, if you had to solve 1.02 x 10^4 you would move the decimal four places to the right. So you would end up with 10200. 
As another example if you had to solve 1.02 x 10^-2 you would move the decimal two places to the left. That would give you .0120. 

So now we are onto your problem. 2.606 x 10^7.
You would move the decimal seven places to the right, because the exponent is positive, that will make your number larger(which would make more sense if you were adding populations, right?).
That would give you 26,060,000 people living in Texas.
From there simply add the two populations together and you will have your answer! 
6 0
3 years ago
Read 2 more answers
If the probability that Caleb makes a free-throw is 60% what is the probability that Kayla makes two free throws in a row?
ipn [44]
You cannot tell with the data 60%
7 0
3 years ago
Subtract seven over eight minus two over three
Stells [14]

Answer:

5/24

Step-by-step explanation:

hope it works for u good luck

4 0
3 years ago
ASAP GUYS PLEASE I NEED UR HELP THIS IS SO HARD<br> Solve: 5 − 7 ( z + 1 ) = 7 ( − 9 − 3 z )
pantera1 [17]

Answer:

-\frac{61}{14}

Step-by-step explanation:

Question: 5 - 7(z+1) = 7(-9-3z)

We multiply the number in front of the bracket first, since that is multiplication.

--> 5 -7z -7 = -63 - 21z

--> -7z -2 = -63 - 21z

Now, we move all the z and all the numbers to each side.

--> -7z +21z = -63 +2

--> 14z = -61

--> z = -61/14

This cannot be simplified further, so z is -61/14.

6 0
2 years ago
Read 2 more answers
What is the value of y? ​
alexira [117]

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

4 0
3 years ago
Other questions:
  • PLZ HELP FAST I NEED IT NOW!!!
    13·1 answer
  • The variable z is inversely proportional to x when x is 3 z has the value 1.6666666666667. What is the value of z when x =12 ??
    5·1 answer
  • Brenda conducts a survey of 100 students to see how their study habits and their grades are related. She wants to see whether st
    8·1 answer
  • Use the conditional statement to answer the question. If an angle is a right angle, then the angle measures 90°. Are the stateme
    13·2 answers
  • 58 - 8x = 30x - 75<br> Need help
    14·1 answer
  • There is a bag filled with 6 blue and 5 red marbles.
    13·2 answers
  • Write the number five million in standard from
    14·2 answers
  • One half of a number is eight
    14·1 answer
  • 7+8/5-2 work it out in BIDMAS
    7·1 answer
  • Whats the slope for 3x + 2y = -10
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!