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Ganezh [65]
3 years ago
5

Simplify: (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
The trigonometric equation <span> (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:

</span>Using x for Θ: 

<span>(sinx - cosx)^2 - (sinx + cosx)^2 </span>
<span>= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) </span>
<span>= - 2 sinx cosx - 2 sinx cosx </span>
<span>= - 4 sinx cosx </span>
<span>= - 2sin(2x) 
</span>
I hope it has come to your help.
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Answer: $20,780.10

Step-by-step explanation:

You need the Compound Interest Formula

A = P(1 + r/n)^nt

Step 1: Create the equation.

12,000(1 + 0.08/2)¹⁴

Step 2: Solve the equation.

Follow PEMDAS (parenthesis, exponents, multiplication...)

Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)

Exponents: (1.04)¹⁴ = (1.73168)

Multiplication: 12,000(1.73168) = 20,780.1

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Answer:

x=5

Step-by-step explanation:

Alright you will need to use PEMDAS for this

  • Parenthesis
  • Exponent
  • Multiplication
  • Division
  • Addition
  • Subtraction ( Take note of this )

Step 1

9(3x – 16) + 15 = 6x – 24 You will remove parenthesis here

27x-129=6x-24

Step 2

Then subtract 6x,

27x-129=6x-24

21x-129=-24

Step 3

Then you add 129 to the sides,

21x-129=-24

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After that, you divide the sides by 21  so that you can get your answer

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