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4 years ago

Find the volume of each sphere. Round to nearest tenth.

Mathematics

1 answer:

lions [1.4K]4 years ago

6 0

2.
V ≈<span> 904.78
4.</span>
V ≈<span> 1288.25</span>

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Given that (-9,8) is on the graph of f(x), find the

rodikova [14]

Answer:

the corresponding point for function f(x) + 2 would be (12, -8)

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2 years ago

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

vampirchik [111]

The length is 10
The width is 4
4 + 6 = 10
4 x 10 = 40

6 0

3 years ago

Read 2 more answers

PLEASE HELP

arsen [322]

I think it is D. not sure tho

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3 years ago

Read 2 more answers

Consider the initial value problem yâ€²+2y=4t,y(0)=8.

Xelga [282]

Answer:

Please read the complete procedure below:

Step-by-step explanation:

You have the following initial value problem:

$y'+2y=4t\\\\y(0)=8$

a) The algebraic equation obtain by using the Laplace transform is:

$L[y']+2L[y]=4L[t]\\\\L[y']=sY(s)-y(0)\ \ \ \ (1)\\\\L[t]=\frac{1}{s^2}\ \ \ \ \ (2)\\\\$

next, you replace (1) and (2):

$sY(s)-y(0)+2Y(s)=\frac{4}{s^2}\\\\sY(s)+2Y(s)-8=\frac{4}{s^2}$ (this is the algebraic equation)

$sY(s)+2Y(s)-8=\frac{4}{s^2}\\\\Y(s)[s+2]=\frac{4}{s^2}+8\\\\Y(s)=\frac{4+8s^2}{s^2(s+2)}$ (this is the solution for Y(s))

$y(t)=L^{-1}Y(s)=L^{-1}[\frac{4}{s^2(s+2)}+\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+L^{-1}[\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}$

To find the inverse Laplace transform of the first term you use partial fractions:

$\frac{4}{s^2(s+2)}=\frac{-s+2}{s^2}+\frac{1}{s+2}\\\\=(\frac{-1}{s}+\frac{2}{s^2})+\frac{1}{s+2}$

Thus, you have:

$y(t)=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}\\\\y(t)=L^{-1}[\frac{-1}{s}+\frac{2}{s^2}]+L^{-1}[\frac{1}{s+2}]+8e^{-2t}\\\\y(t)=-1+2t+e^{-2t}+8e^{-2t}=-1+2t+9e^{-2t}$

(this is the solution to the differential equation)

5 0

3 years ago

Which is the measure of angle C ?

zubka84 [21]

Answer:

Step-by-step explanation:

if the triangles are similar the ange B and E are the same, A and D are the same and C and F are the same.

B=77 and E=77

F=31 and C=31

A=72 and D=72

8 0

3 years ago