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3 years ago

8

CAN SOMEONE PLEASE CHECK :)

1 answer:

monitta3 years ago

7 0

Yes I do believe that is correct!

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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.

emmainna [20.7K]

The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment

4 0

3 years ago

ASAP! find the inverse of the function y=2x^2+2

jeka57 [31]

Answer:

$\displaystyle y=\sqrt{\frac{1}{2}x -1}$

Step-by-step explanation:

We want to find the inverse of the function:

$y=2x^2+2$

To find the inverse of a function, we will flip the variables and solve for <em>y</em>. So:

$x=2y^2+2$

Solve for <em>y</em>. Subtract two from both sides:

$x-2=2y^2$

Divide both sides by two:

$\displaystyle y^2=\frac{1}{2}x-1$

And take the principal square root of both sides. Therefore:

$\displaystyle y=\sqrt{\frac{1}{2}x -1}$

3 0

3 years ago

Select the correct answer.

Nat2105 [25]

Answer:

cndjxnn

Step-by-step explanation:

vncnfxjdncnnxxjjxnxxnjxxjdnxnxjxj, x

7 0

3 years ago

Write the fraction 9/50 as a decimal if needed round to the nearest hundredth

Marysya12 [62]

0.18 I didn't round it tho lol

8 0

3 years ago

Read 2 more answers

PLEASE HELP and Show your work please!!

bazaltina [42]

9514 1404 393

Answer:

2) 3 pages per hour

3) 4/29 km per minute

Step-by-step explanation:

Division by a fraction is the same as multiplication by the inverse of that fraction.

<h3>2) </h3>

$\dfrac{\ \dfrac{9}{4}\ }{\dfrac{3}{4}}=\dfrac{9}{4}\times\dfrac{4}{3}=\dfrac{36}{12}=\boxed{3\text{ pages per hour}}$

__

<h3>3) </h3>

$\dfrac{2\text{ km}}{\dfrac{29}{2}\text{ min}}=2\times\dfrac{2}{29}\text{ km/min}=\boxed{\dfrac{4}{29}\text{ km/min}}$

8 0

2 years ago