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Ann [662]
3 years ago
13

What is the value of i^n if the remember of n/4 is 2

Mathematics
1 answer:
mestny [16]3 years ago
3 0

Answer: 1

Step-by-step explanation:

If n/4 = 2, then n = 8

i^8 = i*i*i*i*i*i*i*i\\i*i=-1\\i^8=(-1)(-1)(-1)(-1) = 1*1 = 1

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x+7=0

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3 years ago
Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.
lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches

The area of the first enlargement is

18(12)=216\ in^2

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches

The area of the second enlargement is

54(36)=1,944\ in^2

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

[(3^2)]^2(24)=1,944\ in^2

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

3(216)=648\ in^2

so

648\ in^2 \neq 1,944\ in^2

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

\frac{216}{24}=9

8 0
2 years ago
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What is equilivent to 5xa
Gelneren [198K]

Answer: 5 * x * a

Step-by-step explanation:

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A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45
Lapatulllka [165]

The train will pass the jogger in 36 seconds.

Length of train = 120m

Speed of train = 45kmph

Distance by which the jogger is ahead of the engine of the train = 240 m

Speed of jogger = 9 kmph

To pass the jogger, the train will have to cover the length of the train and the distance by which the jogger is ahead of the engine of train.

Hence,

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As,

Time = Distance/Speed

Relative speed of train w.r.t jogger = 45 - 9 = 36 kmph = 10 m/s

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brainly.com/question/21218609

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