1) -1 = x – 5 2) -5x + 2 = 17 PLS ANSWER PLS PLS PLS

The volume of sphere is increaseing

Artemon [7]

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

4 0

3 years ago

What is the answer to this question ?

Arisa [49]

Answer:

4

Step-by-step explanation:

h(7)= 7²-1= 49-1= 48

f(h(7))= 48/3 -12

= 16-12

= 4

7 0

4 years ago

Which figure shows an example of symmetry?

damaskus [11]

Answer:

It looks like B would be the correct answer.

Step-by-step explanation:

Hope this helps:)

4 0

3 years ago

Simplify. 8(12 - p) 20 - (8+p) 96 - 8p 96 - p 96p

Romashka [77]

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

6 0

3 years ago

Find all values of x in the interval [0, 2π] that satisfy the equation. 6sin²(x) = 3

34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

${ \sin}^{2} (x) = \frac{1}{2}$

This implies that;

$\sin(x) = \pm \frac{ \sqrt{2} }{2}$

If

$\sin(x) = \frac{ \sqrt{2} }{2}$

$x = \frac{\pi}{4}$

in the first quadrant

$x = \frac{3\pi}{4}$

in the second quadrant.

If

$\sin(x) = - \frac{ \sqrt{2} }{2}$

$x = \frac{5\pi}{4}$

in the third quadrant

$x = \frac{7\pi}{4}$

5 0

3 years ago