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leonid [27]
2 years ago
7

Which of the following is equivalent to the complex number i^17

Mathematics
1 answer:
Anton [14]2 years ago
4 0

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

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This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters
I am Lyosha [343]

Answer:

Scale factor for the drawing from actual park = \frac{1}{20}

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = \frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}

\frac{5}{\text{Actual length of park}}=\frac{1}{20}

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

                                               = 100 × 120

                                               = 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

7 0
3 years ago
A weather balloon is descending from the atmosphere. Its altitude changes by
OlgaM077 [116]

The change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.

Given that a weather balloon is descending from the atmosphere, and its altitude changes by -6 meters every second, to determine what is the change in altitude after 135 seconds the following calculation must be performed:

  • Amount of time x change per second = total change
  • 135 x (-6) = X
  • -810 = X

Thus, the change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.

Learn more in brainly.com/question/24654925

3 0
2 years ago
Written equation for y=-2=1 (0,3)
Alika [10]
Is that supposed to be y=-2x+1?
i cannot solve without the proper equation lol 
4 0
2 years ago
Michael and Lindsey are saving money. Michael begins with $20 and saves $5 per week. Lindsey begins with no money, but saves $10
True [87]
Let
x----------> number of weeks
y----------> saved money

we now that

<span>Michael begins with $20 and saves $5 per week
so
y=20+5x------> equation 1

and
</span><span>Lindsey begins with no money, but saves $10 per week
</span><span>y=10x-------> equation 2

</span><span>the number of weeks it will take for Lindsey and Michael to save the same amount of money is when equation 1 is equals to equation 2
</span>
therefore
20+5x=10x------> 10x-5x=20------> 5x=20-----> x=20/5-----> x=4 weeks

the answer is 
4 weeks
3 0
2 years ago
What is the speed of a car that takes 3 hours to go 75 miles
Rainbow [258]
75/3=25 miles per hour
That's your answer.
3 0
3 years ago
Read 2 more answers
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