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Liula [17]
3 years ago
8

What is the value of 5^3i^9

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

i=\sqrt{-1}\to i^2=-1\\\\5^3=5\cdot5\cdot5=125\\\\i^9=i^8\cdot i=(i^2)^4i=(-1)^4i=1i=i\\\\\boxed{5^3i^8=125i}

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A recipe calls for 1/3 cup of brown sugar for 1 batch. How many batches can be made by one and two-thirds cups? 4 students drew
BlackZzzverrR [31]

Answer:

5 batches

Step-by-step explanation:

1/3 cup of sugar = 1 batch

1 1/3 is 5 times the amount of 1 batch

so 5 batches could be made with 1 1/3 cups of brown shugar

6 0
3 years ago
313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side.
borishaifa [10]

1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

  • People surveyed in East Harlem = 183
  • People surveyed in Upper East Side = 130
  • Total people surveyed = 313

1. Determination of the percentage of people surveyed in East Harlem.

  • People surveyed in East Harlem = 183
  • Total people surveyed = 313
  • Percentage of East Harlem =?

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

  • Percentage of East Harlem = 58.5%
  • Total percentage = 100%
  • Percentage of Upper East Side =?

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

Learn more about percentage:

brainly.com/question/14899205

7 0
2 years ago
14. A pitcher contains quart of lemonade.
Sergio039 [100]

Answer:

1/9 quart in each glass

Step-by-step explanation:

2/3) / 6

(2/3) * (1/6) = 2/18 = 1/9 quart in each glass

3 0
3 years ago
You want to see if your dog will respond when you open the front door. After many attempts, you found that the dog barked 75% of
KatRina [158]
The dog barked 6 times 
4 0
3 years ago
What is the distance, to the nearest hundredth, from (6, 5) to (−3, −8)?
Olin [163]

Answer:

15.81

Step-by-step explanation:

Use the distance formula:

So the distance formula for two given points is

Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )

=sqrt((-9)^2 +(-13)^2 )

=sqrt(81+169)

=sqrt(250)

=15.81

Hope this helped

:)

5 0
3 years ago
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