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Arte-miy333 [17]
3 years ago
9

Find the first, fourth, and eighth terms of the sequence. A(n) = −2 ∙ 2x − 1

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

A(n)=-2\cdot2^{n-1}\\\\\text{Find the first, fourth, and eighth terms}\\\text{It means}\ A(1),\ A(4)\ \text{and}\ A(8).\\\\\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{in}\ A(n):\\\\A(1)=-2\cdot2^{1-1}=-2\cdot2^0=-2\cdot1=-2\\\\A(4)=-2\cdot2^{4-1}=-2\cdot2^3=-2\cdot8=-16\\\\A(8)=-2\cdot2^{8-1}=-2\cdot2^7=-2\cdot128=-256\\\\\boxed{Answer:\ -2,\ -16,\ -256}

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TEA [102]

The answer to this would be A: -9/10. Hope this helps!

5 0
3 years ago
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vivado [14]

Answer:

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Step-by-step explanation:

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3 years ago
6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that
Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² -  161² = OE²

OE²  =  226² -  161²

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4 0
3 years ago
Which simplified fraction is equal to 0.53 (3 repeated)?
Morgarella [4.7K]
Hello there!

Okay, I don't know if this is a "select all that apply", but I believe that answers 1, 2, and 3 are all equivalent to 0.53.

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24/45=0.533...
8/15=0.533...
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As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556

I hope this helps you out!
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3 years ago
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m_a_m_a [10]

Given:

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4 0
2 years ago
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