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vekshin1
2 years ago
7

What is the quotient of the complex number 4-3i divided by its conjugate?

Mathematics
1 answer:
bazaltina [42]2 years ago
3 0

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}

_____

<em>Additional comment</em>

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

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A shipping container is in the shape of a right rectangular prism with a length of 8 feet, a width of 3.5 feet, and a height of
harkovskaia [24]

Answer:

Volume = 8 * 3.5 * 14.5 =

406 cubic feet

.65 pounds / cubic foot * 406 =

263.9 pounds

Step-by-step explanation:

3 0
3 years ago
Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team
Alexxx [7]

Answer:

  C.  4,100

Step-by-step explanation:

"60% more" is represented by a multiplier of 1 + 0.60 = 1.60.

"60% fewer" is represented by a multiplier of 1 - 0.60 = 0.40.

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Let b represent the number of booklets distributed by Team B. Then the number distributed by Team A is ...

  1.60 × (0.40b) . . . . 60% more boxes, each with 60% fewer booklets

  = 0.64b

Then the total distributed by both teams is ...

  b + 0.64b = 1.64b = (164/100)b = (41/25)b

The only answer choice that is a multiple of 41 is ...

  4,100 . . . choice C

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For 4100 to be the number of booklets distributed by both teams, Team B will have distributed 2500 booklets, and Team A will have distributed 1600 booklets. Team A might have distributed 160 boxes of 100 booklets, while Team B might have distributed 100 boxes of 250 booklets.

7 0
2 years ago
What is the answer for this problem
Tasya [4]

Answer: Y= -3/7+5

Step-by-step explanation:

4 0
1 year ago
Hi :) I need help with the question in the screenshot if anybody knows it can you plz help I will give you brainliest, thanks an
amm1812

This question is difficult to give a definite answer to because it's an approximation, but I estimate the solutions to be around x = 2.6 and x = -2.6.

When they ask for solutions of the graphed function they are asking for an approximation of where the graph intercepts the x-axis, and we can see it kind of intercepts in the middle of 2 and 3, except slightly closer to 3, which is why I estimated 2.6.

The graph also appears to be symmetrical, which means the solutions will be the same except one would be negative and one would be positive, which means the second solution would be -2.6.

I hope this helps! Let me know if you have any questions :)

6 0
2 years ago
Write 368% as a mixed number.
Allushta [10]

Answer:

3\frac{17}{25}

Step-by-step explanation:

368%

<em>convert to a fraction</em>

\frac{368}{100}

<em>divide top and bottom by 2</em>

<em />\frac{184}{50}<em />

<em>divide top and bottom by 2</em>

<em />\frac{92}{25}<em />

92/25 = 3 remainder 17

3\frac{17}{25}

8 0
2 years ago
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