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ruslelena [56]
3 years ago
8

How do you simplify i²⁹? (If you can't tell, that's the imaginary number i^29).

Mathematics
1 answer:
maria [59]3 years ago
6 0
The imaginary number ' i ' is the square root of -1.

i = √-1
i² = -1
i³ = -√-1
i to the 4th power = +1
i to the 5th power = √-1
etc.

and all the higher powers keep going in the same 4-step cycle.

What's 29 divided by 4 ?
It's 7 with a remainder of 1.

So 29 with all the 4s thrown away is 1, and ' i ' to the 29th power is
the same thing as ' i ' to the 1st power = √-1  or just  plain ' i '.
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Which expression is equivalent 30 points
elixir [45]

Answer:

30b

Step-by-step explanation:

what you do is times 6 and 5 then add b

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3 years ago
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Nata [24]

Answer:

400,000km is represented as 8cm on the map!!!

Step-by-step explanation:

1cm=50000km

8cm=x

Criss cross

1cmx=8cm×50000km

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3 years ago
The sum of two numbers is odd. Can the quotient of the two numbers be an odd number?
Natalka [10]

Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

4 0
3 years ago
The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°. Vertical and parallel lines c, d, and e are cut b
Nikitich [7]

Answer:

95 degrees

Step-by-step explanation:

since angles 1 and 4 are vertical angles, they are congruent

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3x-4x=-15-10

-x=-25

x=25

x=25 degrees

angles 4 and 7 are supplementary due to them being alternate exterior angles

lets find the measure of angle 4:

4x-15

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100-15

85 degrees

Now, lets find the angle measure of angle 7:

85+x=180

x=180-85

x=95

So, the angle measure of angle 7 is 95 degrees

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3 years ago
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Write the equation of the line that passes through (6, 1), m = -3
JulijaS [17]

Answer:

y = - 3x + 19

Step-by-step explanation:

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y = - 3x + 19 ← equation of line

8 0
3 years ago
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