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Ratling [72]
3 years ago
7

Find the volume of the sphere.

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

V≈904.78

Step-by-step explanation:

You have to multiply

6*3.14

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HELP ASAP PLZ i need help !<br>help me :((
kodGreya [7K]

Answer:

(1) g[f(x)]=\frac{8x-1}{12x-4}

(2)  g^{-1}(x)=\frac{x+1}{(3x-2)}

(3)    x=\frac{9+\sqrt{129} }{6},  \frac{9-\sqrt{129} }{6}

Step-by-step explanation:

Given functions f(x) = (4x-1)

are                     g(x)=\frac{2x+1}{3x-1}

(1)  g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}

                =\frac{8x-2+1}{12x-3-1}

                =\frac{8x-1}{12x-4}

(2) for g^{-1}(x), rewrite the function g(x) in terms of an equation

y=\frac{2x+1}{3x-1}

Substitute y in place of x and x in place of y, then solve for y.

x=\frac{2y+1}{3y-1}

(3y-1)x = 2y+1

3xy - x = 2y + 1

3xy - 2y = x + 1

y(3x-2) = x + 1

y=(\frac{x+1}{3x-2} )

⇒ g^{-1}(x)=\frac{x+1}{(3x-2)}

(3)    f[g(x)]=(x-1)

       f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)

⇒    \frac{(8x+4)-(3x-1)}{3x-1}=(x-1)

⇒    \frac{8x-3x+4+1}{3x-1}=(x-1)

⇒    \frac{5x+5}{(3x-1)}=(x-1)

⇒    5x+5=(3x-1)(x-1)

⇒    5x+5=3x^2-3x-x+1

⇒   5x+5=3x^2-4x+1

⇒   3x^2-9x-4=0

⇒    x=\frac{9\pm\sqrt{(-9)^2-4(-4)\times3} }{2\times3}

   x=\frac{9\pm\sqrt{81+48} }{6}

   x=\frac{9\pm\sqrt{129} }{6}

   x=\frac{9+\sqrt{129} }{6},  \frac{9-\sqrt{129} }{6}

4 0
3 years ago
Whats the last common multple of 2,5,6,9 and 9 is
blondinia [14]
"9 and 9?"  Did you possibly mean {2, 5, 6, 9}?

The least common multiple of a set of numbers is the smallest integer that can be divided evenly by all of the numbers.  In this case, when I saw the 9 and 5, I thought, "45!"  but 45 is not evenly divisible by 2 or 6.  

So, I tried 90.  90 is indeed divisible by {2, 5, 6, 9}, and is thus the LCM.

Look up and review "Least common multiple."

3 0
3 years ago
Evalua 6+x cuando x=3​
Gala2k [10]

Answer:

6+3=9

Step-by-step explanation:

Evaluando 6+3=9, porque tu tienes que intercambiar x por 3 porque x es 3. Después tu tienes que buscar tu repuesta. Disculpa mi español no es tan bueno escribiendo

6 0
3 years ago
Susan threw a softball 42 yards on her first try and 51 1/2 yards on her second try. How much farther did she throw the softball
kozerog [31]

9ft and 12 inches

That's the first answer of it


7 0
3 years ago
Please answer question for me ASAP!!!!!
antiseptic1488 [7]

Answer:

3

Step-by-step explanation:

Any number and variable combined is a term.

So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)

3 terms - B

5 0
3 years ago
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