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svetoff [14.1K]
3 years ago
10

Find the period of the function y=3/2 tan(1/3^x) A) π/3 B) π/6 C) 3 π D) π

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0
C is the right answer because the period should be pi/(1/3), so the answer is 3pi
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Prove that 1/1+sinA -1/1+sinA =2tanAsinA​
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Step-by-step explanation:

\frac{1}{1 +  \sin( \alpha ) }  \frac{1}{1 -  \sin( \alpha ) }  \\  \frac{1 -  \sin( \alpha ) + 1 +  \sin( \alpha )  }{(1 +  \sin( \alpha ))(1 -  \sin( \alpha ))  }  \\  =  \frac{2}{1 -  {sin}^{2} \alpha }  \\  \frac{2}{ {cos}^{2} \alpha  } = 2  \:  {sec}^{2}  \alpha

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What is the domain of f(x)=
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Answer: All real numbers

Step-by-step explanation:

The domain is the set of inputs.

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What is the relationship between angle axd and angle abx?<br><br> please help!!
vivado [14]

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Step-by-step explanation:

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4 0
3 years ago
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The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units
Juliette [100K]

Answer:

Option B  13 units is correct.

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x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

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=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13

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6 0
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The table shows the price for different numbers of board games:
zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

   = 17.5 / 5

   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0
2 years ago
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