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natali 33 [55]
3 years ago
5

Which expression gives the volume of a sphere with radius 17?

Mathematics
2 answers:
Ludmilka [50]3 years ago
8 0

The formula for volume of a sphere is:

V = 4/3 * PI * r^3

Replace r with with given radius:

V = 4/3 * pi * 17^3

V = 4/3 * PI * 4913

You don't give the choices, but anything like the two equations I gave could be correct. Might even multiply the 4/3 by r^3?

If you list the choices I can tell you which one.

erik [133]3 years ago
4 0

Answer: volume=20587.80952

Step-by-step explanation:

Volume of a sphere=4/3×π×r^3

Volume=4/3×22/7×17^3

Volume=432344/21

Volume=432344/21

Volume=20587.80952

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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
(URGENT) need this answer today​
Vlad [161]

Answer: 19.5

Step-by-step explanation:

Use Pythagorean theorem to find the diagonal as it is a right triangle.

6 0
2 years ago
Can someone explain how to solve this and the solution? Please and thank you :)
Verizon [17]
25 > 2x + 8 - 66

first simplify all numbers

25 > 2x + (8  - 66)
25 > 2x - 58

Then add 58 to both sides

25 (+58) > 2x - 58 (+58)
83 > 2x

Finally divide 2 from both sides to isolate the x

83/2 > 2x/2

41.5 > x

hope this helps
3 0
3 years ago
I need the equation for this ASAP!
Sindrei [870]

Answer:

5.714 liters of the 5% solution and 4.286 of the 40%.

Step-by-step explanation:

Let x be the volume of 40% solution and y = volume of the 5% solution.

x + y = 10

0.40x + 0.05y = 0.20(x + y)

From the first equation x = 10 -y so we have:

0.40(10 - y) + 0.05y = 0.20( 10 - y + y)

4 - 0.40y + 0.05y = 2

-0.35y = -2

y = 5.714 liters of the 5%.

and x =  10 - 5.714 = 4.286  liters of the 40% solution.

Step-by-step explanation:

8 0
3 years ago
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WILL NAME BRAINLIEST
ehidna [41]

Answer:

The answer for a different question is 5x

Step-by-step explanation:

DONT CHOOSE THIS. youll get wrong

7 0
3 years ago
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