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Paladinen [302]
3 years ago
15

What is the rate of change of the function?

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer:

rate of change = 3

Step-by-step explanation:

to find the rate of change \frac{y1 - y2}{x1 - x2}

(0,-4) (1,-1)

\frac{-4+1}{0-1} = \frac{-3}{-1} = 3

allochka39001 [22]3 years ago
5 0

Answer:

3

Step-by-step explanation:

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Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
Ronch [10]

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

6 0
3 years ago
1/5 multiplied by what number will result in a product of 1/10
34kurt

Answer:

1/2

Step-by-step explanation:

6 0
3 years ago
What number is missing in the pattern?<br> 324 108 ___ 12 4
Vlad [161]

Answer:

36 is missing.

Step-by-step explanation:

multiply 4 by 3, you get 12

12 by 3 you get 36

36 by 3 you get 108 and then 108 by 3 is 324

7 0
3 years ago
What is the perimeter of rhombus wxyz?
VikaD [51]
One of the properties of rhombus is its sides are congruent. Therefore, we will only need to find the length of one side using the distance formula. At line YZ, the distance is \sqrt{ (x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2}}

D = \sqrt{ (5 -3 )^{2} +(5 -2) ^{2}  }  = √13

To get the perimeter, multiply one side to 4. Hence, the perimeter is 4√13 (C)
4 0
4 years ago
Read 2 more answers
A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?
satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

R^2=r^2+(\frac{h}{2})^2

r^2=R^2-(\frac{h}{2})^2

Volume of cylinder is

V=\pi \times r^2\times h

V=\pi \times (R^2-(\frac{h}{2})^2)\times h

V=\pi (R^2\cdot h-\frac{h^3}{4})

differentiate V w.r.t to h we get

\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})

Putting \frac{\mathrm{d} V}{\mathrm{d} h} to get maxima/minima

R^2=\frac{3h^2}{4}

h=\frac{2R}{\sqrt{3}}

therefore radius r is given by

r=\sqrt{\frac{2R}{3}}

therefore volume is given by

V=\frac{4}{3\sqrt{3}}\pi R^3

5 0
3 years ago
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