3 years ago

Can you please help me with these three for my timed test I have rn. And maybe show your work too please!! Thank you :)

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

Answer:

HI ITS NOT AB BECUSAEW SHE IS NOT HERE TODAY

Step-by-step explanation:

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1 year ago

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

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

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0

2 years ago

EDIT// answer below thank for the help -.-

HACTEHA [7]

Step-by-step explanation:

Move it it up 4 and then find your x intercepts.

Find the x intercepts.

$-x^2 + 4 = 0$

Move the 4 over to the right

$-x^2 = -4$

Divide out the -

$\frac{-x^2}{-} = \frac{-4}{-}$

$x^2 = 4$

Take the square root of each side

$\sqrt{x^2} = \pm \sqrt{4}$

$x = \pm \sqrt 2$

Our x intercepts are at (-2,0) (2,0)

8 0

3 years ago