4 years ago

Simplify: 39b8 - (-19b8)

1 answer:

S_A_V [24]4 years ago

5 0

58b8 subtracting a negative is adding a positive

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kow [346]

Given:

$\dfrac{dr}{dt}=1.4\text{ in/s}$

$\dfrac{dh}{dt}=-2.1\text{ in/s}$

To find:

The rate of change in volume at $r=120\text{ in. and }175\text{ in.}$

Solution:

We know that, volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

Differentiate with respect to t.

$\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]$

Substitute the given values.

$\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560$

$\dfrac{dV}{dt}=29920$

Therefore, the volume of decreased by 29920 cubic inches per second.

6 0

3 years ago

ruslelena [56]

The answer is b. Y=0.7x

4 0

3 years ago

slega [8]

Here is u answer -5a4b8

8 0

4 years ago

Deffense [45]

Well the quadratic formula is just:
x = -b + and - the square root of b^2 - 4ac all divided by 2a. You just plug in numbers and get an answer for x.

8 0

3 years ago

BaLLatris [955]

30,000 divided by 30 is 1,000

4 0

3 years ago