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muminat
3 years ago
6

The volume of the sphere is 500/3 pie cubic units . what is the value of X?

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
Volume=4/3 pi r^3. so 4/3 pi r^3 = 500/3 pi. Therefore, divide by pi, and multiply by 3, you get 4r^3=500. Divide by 4 to get r^3=125, and cube root to result in 25. r=25.
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For the functions f(x) = 5x − 3 and g(x) = x + 4, which composition produces the greatest output?
Zina [86]
You could actually find the compositions and thus have something to compare.  You haven't shared the list of possible answer choices.

(f+g)(x) = 5x - 3 + x + 4 = 6x + 1

(f-g)(x) = 5x - 3 - x - 4 = 4x - 7

(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12

There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).

WRite them out.

Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.

7 0
4 years ago
(2p + 4) + 5 (p-1) - (p+7)
jonny [76]

<em>Your answer will be, </em><em>"6p - 8"</em>

Thanks,

<em>Deku ❤</em>

6 0
3 years ago
Simplify x^2+xy-yx+y^2 + y^2+yz-zy+z^2 + z^2+zx-xz+x^2
Artemon [7]

Answer:

2x^2 + 2y^2 + 2z^2

Step-by-step explanation:

x^2+xy-yx+y^2 + y^2+yz-zy+z^2 + z^2+zx-xz+x^2

First step is to put all the same ones together

( FYI, xy and yx is the same thing, just like how

2 x 3 and 3 x 2 is the same thing) this time I'll bracket the groups to make it easier on the eyes

(x^2 +x^2) + (xy - xy) +( y^2 + y^2) + (yz - yz) +

(z^2 +z^2) + (zx - zx)

2x^2 + 2y^2 + 2z^2

All the others just cancel themselves out, for example, xy-xy

When anything minus themselves it will become 0

7 0
3 years ago
32 - 5x is greater than or equal to 7 - 5(x - 5)
Damm [24]

Answer:

True 32≥32

Step-by-step explanation:

32-5x≥7-5(x-5)

32-5x≥7-5x+25

32-5x≥32-5x

+5x +5x

32≥32

6 0
3 years ago
Solve the system of equations by elimination.<br> 2x - 9y = 23<br> 5x - 3y = -1
lbvjy [14]

Answer:

Step-by-step explanation:

2x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -1

6 0
3 years ago
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