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patriot [66]
3 years ago
14

Solve 1/2cot(x)>=1/2 over 0<=x<=2pi

Mathematics
1 answer:
RSB [31]3 years ago
3 0

9514 1404 393

Answer:

  (0, π/4] ∪ (π, 5π/4]

Step-by-step explanation:

Multiplying by 2 gives ...

  cot(x) ≥ 1

The cotangent function decreases from ∞ to 1 in the domain (0, π/4], and again in the domain (π, 5π/4]. The solution is the union of these two intervals.

  x ∈ (0, π/4] ∪ (π, 5π/4]

_____

(a, b] is interval notation for a < x ≤ b

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Sophia owns a clothing store that sells graphic T-shirts. n is the number of
goldenfox [79]

Answer:

n = 150

Step-by-step explanation:

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8 0
3 years ago
Solve each equation. Be sure to check for extraneous solution -7= |a-3|/-2
stepan [7]

Answer:

a = -11, 17.

Step-by-step explanation:

-7 =  |a-3| / -2

Multiply both sides by -2:

|a - 3| = 14

So a - 3 = 14

Giving a = 17

or

a - 3 =- -14

giving a = -11.

Checking these values:

-7 = |17-3| / -2 = 14/-2 = -7  

- so a = 17 is a solution.

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so a = -11 is also a solution.

4 0
3 years ago
You want to put $2,500 in a simple interest account.It has a 4% annual interest rate.How long will it take you to earn $200 in i
prohojiy [21]
It will take 2 years.

Year 1 :
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Year 2 :
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$100 + $104 = $204 > $200

There may be a simpler way to solve this using a formula for example, but I just solved this step by step. Please feel free to ask if you have any questions
7 0
3 years ago
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