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Leviafan [203]
2 years ago
15

Which of the following is equivalent to the complex number i24?

Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

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3 years ago
I need the answers to these question (with steps)
coldgirl [10]

Answer:

-5^ -1 = 1/(-5) = -1/5

-1/y^(-4) = -(1/(1/y^4)) = -y^4

5^4 x 5^7 = 5^(4 + 7) = 5^11

Hope this helps!

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4 0
3 years ago
Read 2 more answers
On a certain day, the exchange rate was 60 U.S. dollars for 50 euro. How many U.S. dollars were 80 euro worth that day?
fgiga [73]

Answer: 90 U.S. dollars

If 60 U.S. dollars represwnt 50 euros, we will add.

80 euros represent 90 dollars because: there are 10 more euros than dollars.

Hope this helps!

6 0
3 years ago
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Danielle wants to paint a ceramic planter. The total price is the cost of the
zysi [14]

Answer:

4 hours

Step-by-step explanation:

Danielle spent 4 hours painting. You can get this answer by subtracting how much money she spent on the pot from the total bill. This gets you 24. Then you divide this by 6, the amount of money if costs to paint an hour, which gets you 4.

7 0
3 years ago
2, 6, 10, 14, ...
8090 [49]

The sequence can be represented by 2 + 4x, where x is a whole number(x \geq 0 and x is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to 2 + 4x and confirm that there is a whole number x which equals the values selected.


2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark

2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark

2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5


When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.


2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark

2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark

6 0
3 years ago
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