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ValentinkaMS [17]
2 years ago
12

I need awnsers please

Mathematics
1 answer:
romanna [79]2 years ago
5 0

y=f(x) =12\sqrt x\\\\\text{Replace x with y and then solve for y:}\\ \\~~~~~~~x = 12\sqrt y\\\\\implies \sqrt y  = \dfrac{x}{12}\\ \\\implies y = \dfrac{x^2}{144}\\\\\implies f^{-1} (x) = \dfrac{x^2}{144} \\\\\text{Hence the inverse of the function is}~ \dfrac{x^2}{144}

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EXERC
eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0
3 years ago
How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
3 years ago
Can someone please help me on the second on please thanks:)
eimsori [14]
Since she spent $9.72 and deposited $9.72 her bank balance did not change at all. She basically paid off how much she spent on lunch on Wednesday.
7 0
3 years ago
Read 2 more answers
Help me with this please!?!?!?!?!
I am Lyosha [343]

Answer:

17/4

Step-by-step explanation:

add the fractions

5 0
2 years ago
there are 1,560 students at a school. 85% of them ride the bus, how many students do not ride the bus?
Alja [10]

Answer:i think its 183

Step-by-step explanation

1560 devided by 85= 18.3 but just take away the decimal

3 0
3 years ago
Read 2 more answers
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