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Ket [755]
3 years ago
5

What is the value of 5^3i^9?

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

\displaystyle 125^i

Step-by-step explanation:

<u>Extended Information </u><u>on</u><u> </u><u>the</u><u> Complex Number System</u>

\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]

I am joyous to assist you at any time.

All work is shown above. ↑

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There is 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice. How many guests can
kotegsom [21]

Answer:

4\frac{2}{3} guests.

Step-by-step explanation:

We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.

To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:

\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\div\frac{3}{16}

Convert to multiplication problem by flipping the 2nd fraction:

\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\times\frac{16}{3}

\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{1}\times\frac{2}{3}

\text{Number of guests Mrs. Mathewson can serve}=\frac{14}{3}

\text{Number of guests Mrs. Mathewson can serve}=4\frac{2}{3}

Therefore, Mrs. Mathewson can serve orange juice to 4\frac{2}{3} guests.

3 0
3 years ago
Math help- 14 points!
Anit [1.1K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Giovanna has a score of -5 in canasta Vera score is -10
MariettaO [177]

Answer:

5

Step-by-step explanation:

I do not fully understand what the question is because you didn't ask a question, so I just found the difference between the 2 scores, which would be a positive 5.

Or if its asking which score is greater it would be Giovanna because her score was closer to zero than Vera's score.

5 0
3 years ago
graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph t
Iteru [2.4K]

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

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3 years ago
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