Answer:
the rate of change of the water depth when the water depth is 10 ft is; 
Step-by-step explanation:
Given that:
the inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.
We are meant to find the rate of change of the water depth when the water depth is 10 ft.
The diagrammatic expression below clearly interprets the question.
From the image below, assuming h = the depth of the tank at a time t and r = radius of the cone shaped at a time t
Then the similar triangles ΔOCD and ΔOAB is as follows:
( similar triangle property)


h = 2.5r

The volume of the water in the tank is represented by the equation:



The rate of change of the water depth is :

Since the water is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec
Then,

Therefore,

the rate of change of the water at depth h = 10 ft is:




Thus, the rate of change of the water depth when the water depth is 10 ft is; 
Answer:
it is not factorable
Step-by-step explanation:
it is not factorable
3.05 x 10³ is already written in scientific notation.
The same number written in standard form is 3,050 .
Answer:
The number is 8.
Step-by-step explanation:
Write an equation then solve by isolating the variable.
let x be the number
4x + 15 = 47 Subtract 15 from both sides
4x = 47 - 15
4x = 32 Divide both sides by 4
x = 32/4
x = 8
Therefore the number is 8.
Answer:
7/8
Step-by-step explanation:
The fraction closest to 1 is 7/8 because it is only 1/8 piece away from one.