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3 years ago

Helppppp pleaseeeeee

Mathematics

1 answer:

Rzqust [24]3 years ago

4 0

15) Yes, it is a function.

16)

A f(-4)=2

B F(3)= something around -1.75

C f(-5)=0

D f(-2)=4

E f(0)=0

F) -2

17)2(2a+5)=4a+10

a(a+5)=a^2+5a

18) 1

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Plzzz helpppppp nowwwww

snow_lady [41]

Answer:

x= 10

I hope i helped, best of luck!

4 0

3 years ago

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The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute. At the instant when the volume of

Inessa05 [86]

Using implicit differentiation, it is found that the rate of change of the surface area of the sphere -2201.293 square centimeters per second.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere, of radius r, is given by:

$V = \frac{4\pi r^3}{3}$

<h3>What is the surface area of a sphere?</h3>

The surface area of a sphere, of radius r, is given by:

$S = 4\pi r^2$

<h3>What is the rate of change?</h3>

Applying <em>implicit differentiation</em>, the rate of change of both the volume and the surface area can be found, as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$\frac{dS}{dt} = 8\pi r\frac{dr}{dt}$

Volume of 3131 cubic centimeters, hence:

$V = \frac{4\pi r^3}{3}$

$\frac{4\pi r^3}{3} = 3131$

$4\pi r^3 = 3(3131)$

$r = \sqrt[3]{\frac{3(3131)}{4\pi}}$

$r = 9.0754$

The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute, hence:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$-9988 = 4\pi (9.0754)^2\frac{dr}{dt}$

$\frac{dr}{dt} = -\frac{9988}{4\pi (9.0754)^2}$

$\frac{dr}{dt} = -9.651$

Then, the <u>rate of change of the surface area</u> of the sphere is given by:

$\frac{dS}{dt} = 8\pi (9.0754)(-9.651) = -2201.293$

The rate of change of the surface area of the sphere -2201.293 square centimeters per second.

To learn more about implicit differentiation, you can take a look at brainly.com/question/25608353

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3 years ago

Why is it practical to know standard diaviation?

nexus9112 [7]

To know how far your values differ apart from the mean of the records

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4 years ago

What is 33 over 60 in simplest form?

irinina [24]

33/60 in simplest form is 11/20.

7 0

3 years ago

If the length of a rectangle is 5y-7 and the width is 3y,represent the area of the rectangle

elena-14-01-66 [18.8K]

Answer:

15y^2 - 21y

Step-by-step explanation:

A = LW

A = (5y - 7)(3y)

A = 15y^2 - 21y

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3 years ago

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