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Kryger [21]
2 years ago
5

Which of the following is equivalent to the complex number i^36? 1 i -1 -i

Mathematics
1 answer:
Masja [62]2 years ago
5 0

Answer:

1

Step-by-step explanation:

i^4=1\\\\i^{36}=(i^{4})^9=(1)^9=1

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Thomas invested $40,000. He put part of the money in an account paying 2% interest and the remainder
Rainbow [258]

Answer:

18,000 at 2%

22,000 at 3%

Step-by-step explanation:

x: the amount in account paying 2% interest

y: the amount in stock paying 3% interest

x + y = 40,000

2%. x + 3%. y = 1020

⇒ x = 18,000

y = 22,000

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3 years ago
At the beginning of a basketball season, the panthers won 20 games out of 50 games. At this rate, how many games will they win i
Anton [14]

Answer:

They will win 48 games in a 120 game season.

Step-by-step explanation:

The team won 20 games out of 50; that is a 20:50 ratio, that is equal to x:120.  x is the amount of games won in the 120 game season.

Set up the ratios like this:

\frac{20}{50} = \frac{x}{120}

cross multiply the numerators and denominators to get this:

20*120 = 50x

solve for x:

2,400 = 50x

x = 48

8 0
3 years ago
4(x+6)≤−56 it says Solve the inequality.
vlabodo [156]

\tt \: 4(x + 6) \leqslant  - 56

Divide both sides of the inequality by 4

\sf \: x + 6 \leqslant  - 14

Move the constant to the right-hand side and change its sign

\bf \: x \leqslant  - 14 - 6

Calculate the difference

\rm \: x \leqslant  - 20

And we are done solving!!~

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3 years ago
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Someone please help with this question please​
natima [27]

Step-by-step explanation:

Since Angle DAE = Angle BCE, lines AD amd BC are parallel (by Z-angles).

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You just do 120 divided by 8 which is about 15 newspapers
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