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3 years ago

Explaining step by step the simplest form of the expression 9r(r+3)-2r(r-4)

1 answer:

6 0

For simplest form, the first thing you'll want to do is get rid of the parentheses:

9r(r + 3) - 2r(r - 4) = 9r^2 + 27r - 2r^2 + 8r

Now we want to combine like terms:

9r^2 + 27r - 2r^2 + 8r = 7r^2 + 35r

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

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

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

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

Applying implicit differentiation, the rate of change is given by:

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

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

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

$19600\pi\frac{dr}{dt} = 500$

$\frac{dr}{dt} = \frac{500}{19600\pi}$

$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

2 years ago

CAN ANYONE HELP ME ANSWER THIS

Lera25 [3.4K]

Answer: My best answer would be independent

Step-by-step explanation: because you would be the one rolling the dice but you don't know what it would be landing on

3 0

3 years ago

What does 3 9/10 + 4/5 equal?

andreyandreev [35.5K]

3 9/10 + 4/5

39/10 + 4/5

39/10 + 8/10

47/10= 4 7/10

4 0

3 years ago

Read 2 more answers

If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will

Tema [17]

Answer:

Hence after 3.98 sec i.e 4 sec Object will hit the ground .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec

To Find:

Time in seconds after which it will hit the ground?

Solution:

This problem is related to projectile motion for object

First calculate the Range for object and it is given by ,

$R=v^2Sin$ (2Ф)/ $g$

Here R= range g= acceleration due to gravity =9.8 m/sec^2

1m =3.2 feet

So 9.8 m, equals to 9.8 *3.2=31.36 ft

So g=31.36 ft/sec^2. and 2Ф=2(28)=56

$R=133^2*Sin(56)/31.36$

$R=14664.84/31.36$

$R=467.62$ fts

Now using Formula for time and range as

$R=VxT$

Vx is horizontal velocity

$Vx=V*cos$ Ф

$Vx=133*cos$ (28)

$Vx=117.43$ ft/sec

So above equation becomes as ,

$467.62=117.43*T$

$T=467.62/117.43$

$T=3.98 sec$

T is approximately equals to 4 sec.

4 0

3 years ago

Which classification describes the system of linear equations?

katen-ka-za [31]

Both equations are the same
y=−4x+4 ----> y+4x=4,
so consistent dependent

5 0

3 years ago