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3 years ago

What is the common ratio of the sequence below? 2/3, 1/6, 1/24, 1/96..

Mathematics

2 answers:

Andru [333]3 years ago

6 0

The first five terms are found by plugging in 1, 2, 3, 4, and 5 for n.

konstantin123 [22]3 years ago

6 0

Answer:

Step-by-step explanation:

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Write 337,060 in expanded form using exponents

Agata [3.3K]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0

Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

000 = 0 * 10^2

60 = 6 * 10

0 = 0 * 10^0

then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0

Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10

3 0

3 years ago

Write an equation of the line that has a slope of 2 and y-intercept 1 in slope-intercept form.

Vlada [557]

Y = mx + b

in this case m = 2 and b = 1 so
equation
y =2x + 1

hope this helps

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3 years ago

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The weight of

neonofarm [45]

10 move the decimal point over 3 spots

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3 years ago

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Inverse laplace of [(1/s^2)-(48/s^5)]

Katen [24]

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I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform $F(s)$ and $G(s)$ , then $\mathcal{L}^{-1}\{aF(s)+bG(s)\} = a\mathcal{L}^{-1}\{F(s)\}+b\mathcal{L}^{-1}\{G(s)\}$

Given that $\dfrac{1}{s^2} = \dfrac{1!}{s^2}$ and $-\dfrac{48}{s^5} = -2\cdot\dfrac{4!}{s^5}$

So you have $\mathcal{L}^{-1}\left\{\dfrac{1}{s^2} - 2\cdot\dfrac{4!}{s^5}\right\} = \mathcal{L}^{-1}\left\{\dfrac{1}{s^2}\right\} - 2\mathcal{L}^{-1}\left\{\dfrac{4!}{s^5}\right\}$

From Table of Laplace Transform, you have $\mathcal{L}\{t^n\} = \dfrac{n!}{s^{n+1}}$ and hence $\mathcal{L}^{-1}\left\{\dfrac{n!}{s^{n+1}}\right\} = t^n$

So you have $\mathcal{L}^{-1}\left\{\dfrac{1}{s^2}\right\} - 2\mathcal{L}^{-1}\left\{\dfrac{4!}{s^5}\right\} = \boxed{t-2t^4}$ .

Hope this helps...

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3 years ago

What is 21/11 as a mixed fraction

castortr0y [4]

Answer:

the answer is

1 10/11

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3 years ago

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