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olganol [36]
3 years ago
9

Which sequence is modeled by the graph below?

Mathematics
2 answers:
djverab [1.8K]3 years ago
5 0

Answer:

an=27(one third) - 1

thanks

Alika [10]3 years ago
4 0
<h2>Answer:</h2>

The correct answer is:

                Option: B

   B.\ a_n=27(\dfrac{1}{3})^{n-1}

<h2>Step-by-step explanation:</h2>

We are given that the graph passes through (2,9) , (3,3) and (4,1)

Now, the function which models the graph is given by:

a_n=27(\dfrac{1}{3})^{n-1}

when n=2 we have:

a_2=27(\dfrac{1}{3})^{2-1}\\\\i.e.\\\\a_2=27(\dfrac{1}{3})^1\\\\i.e.\\\\a_2=9

when n=3 we have:

a_3=27(\dfrac{1}{3})^{3-1}\\\\i.e.\\\\a_3=27(\dfrac{1}{3})^2\\\\i.e.\\\\a_3=3

when n=4 we have:

a_3=27(\dfrac{1}{3})^{4-1}\\\\i.e.\\\\a_3=27(\dfrac{1}{3})^3\\\\i.e.\\\\a_4=1

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Answer:

x=0.75 \pm 2.47067i

Step-by-step explanation:

Quadratic Formula: x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}

x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}

x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}

x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}

x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}

x=\frac{4.5 \pm i14.824 }{6}

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Step-by-step explanation:

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REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
aivan3 [116]

Answer:

It can hold up to 1.256ft^3 of waste

<em></em>

Step-by-step explanation:

Given

D = 1.5ft -- Diameter

h = 1.6ft -- height

Required

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This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

Volume = \pi r^2h

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\pi = 3.14

and

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r = \frac{1.5}{2}

r = 0.75

So, we have:

Volume = 3.14 * 0.5^2 * 1.6

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