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2 years ago

What is the surface area of a sphere that has a radius of 5 units? Use 3.14 for π.

Mathematics

1 answer:

lozanna [386]2 years ago

8 0

A≈314.16 have a good day :)

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

Katen [24]

**Refresh page if you see [ tex ]**

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

WHO WANTS BRANLIEST???

kenny6666 [7]

Answer: ME

Step-by-step explanation:

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2 years ago

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Marianne is completing a 4 mile route for charity.Every 1/10 mile is marked along the route. For each mile,she runs 7/10 mile an

Dmitriy789 [7]

Seven tenths of every mile she goes she runs. So we would multiply 4 by seven tenths and get 2.8 miles. And to find out how many miles she walks, we would multiply 4 by three tenth and get 1.2

hope this helped!!

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3 years ago

A line is parallel to the line y = -x + 5 and passes through the point (4. - 1). Which of the following is an equation of the

MariettaO [177]

Answer:

y = -x + 3; could also be y + 1 = -(x - 4) or y = -(x - 4) - 1 or x + y = 3

Step-by-step explanation:

No options given, so I hope this helps.

1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.

2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b ==> 3 = b

3. Replace b in the equation y = -x + b with 3.

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9 months ago

What is the answer for 3/7 x 28

Dominik [7]

Answer:

The answer for 3/7 x 28 is 12.

Step-by-step explanation:

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3 years ago