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spin [16.1K]
3 years ago
14

If the radius of a sphere is increasing at the rate of 2 inches per second how fast

Mathematics
1 answer:
pogonyaev3 years ago
3 0
You haven't shared all of the question, so I'll guess that you want to find "how fast is the area of the sphere increasing?"

Area of a sphere = 4*pi*r^2

Rate of change of area of a sphere with respect to radius r:

               dA/dr = 8*pi*r*(dr/dt)

Here, that would come out to    

           dA/dr = 8*pi*r*(2 inches / sec)


If you meant, "how fast is the volume of the sphere increasing?" you'd need to use a different equation:


V = (4/3)*pi)*r^3

and go through a similar process.


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On 8(x - 2) + 3 = -61?
DochEvi [55]

Answer:

Hey there!

8(x-2)+3=-61

8(x-2)=-64

x-2=-8

x=-6

Let  me know if this helps :)

3 0
2 years ago
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8. what is the graph of the inequality in the coordinate plane? <br><br> y&lt;-2
LekaFEV [45]
1) Draw the coordinate plane

2) Draw the line y = - 2

It is a line parallel to the y axis, two units below the origin

3) The solution (graph of the inequality y < - 2) is all the area below the line y = - 2.
4 0
3 years ago
Write equations for the vertical and horizontal lines passing through the point (-3,-8).​
Gelneren [198K]

Answer:

Horizontal: y=-8

Vertical: x=-3

Step-by-step explanation:

8 0
1 year ago
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At the movie theatre, child admission is S5.20 and adult admission is $8.30. On Tuesday, 156 tickets were sold for a total sales
Annette [7]

Answer:

So, 89 Adult tickets were sold.

Step-by-step explanation:

So, we first name our variables, say, a for number of adult tickets, and c for child tickets.

Then we write our system of equations, first the total $ sale:

5.2c + 8.3a = 1087.10

Then we write the 2nd equation, the total number of tickets:

c + a = 156

Now, we can solve the system:

We do have different methods, let's to by subsitution.

make some change to the 2nd equation, to make c the subject: c = 156 - a

Now we plug that into the 1st equation:

5.2(156 - a) + 8.3a = 1087.10

811.2 - 5.2a + 8.3a = 1087.10

811.2 + 3.1a = 1087.10

3.1a = 275.9

a = 89

8 0
3 years ago
Find the quadratic function that has a vertex at (3,4) and goes through the point (0,13).​
vladimir2022 [97]

Answer:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Step-by-step explanation:

PLZ MARK ME BRAINLYIST

4 0
3 years ago
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