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yulyashka [42]
3 years ago
9

Evaluate the imaginary number i^3

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0
The answer to the problem i^3 is -i
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Nendndnfbffjfjfjfjfjf
Whitepunk [10]

Answer:

a or c would be your answer hope this helps

Step-by-step explanation:

3 0
2 years ago
A rectangle's length is twice its width. if the perimeter is 66 cm find the width of the rectangle
Lesechka [4]
Perimeter = 2L + 2W

Let x = width and let 2x = length 

Perimeter = 66

2x + 2(2x) = 66

2x + 4x = 66 --> 6x = 66 --> x = 66/6 --> x = 11

The width of the rectangle is 11 cm.

6 0
3 years ago
140,000 invested in a business. Joe and Matt invested in a 2:5 ratio. How much does each person have invested.
Liula [17]
You have to divide 140,000 by 7 to get the base number of 20,000. You then multiply it by 2 and 5 for each respective person. Joe invested 40,000 and Matt invested 100,000.
8 0
2 years ago
a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same
Lostsunrise [7]

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

Time=\dfrac{Distance}{Speed}

Time taken by the train initially to cover 288 km is \dfrac{288}{x} hours.

New time taken by the train to cover 288 km is \dfrac{288}{x+4} hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

\dfrac{288}{x}-\dfrac{288}{x+4}=1

\dfrac{288(x+4)-288x}{x(x+4)}=1

288x+1152-288x=x^2+4x

1152=x^2+4x

0=x^2+4x-1152

Splitting the middle term, we get

x^2+36x-32x-1152=0

x(x+36)-32(x+36)=0

(x+36)(x-32)=0

x=-36,32

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

3 0
2 years ago
Camille and Diego were asked to pick numbers on a number line.Camille picked -810.Diego picked a number that was 190 lower than
zvonat [6]

Answer:-1000

Step-by-step explanation:

8 0
2 years ago
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