Global online music sales have exploded. It was expected that music lovers would spend 2 billion for online music in 2007, in sc
1 answer:
Answer:
Step-by-step explanation:
we know that
One billion is equal to one thousand million
1 billion is equal to 1,000,000,000
so
Multiply by 2
2 billion is equal to 2,000,000,000
Remember that
In scientific notation, a number is rewritten as a simple decimal multiplied by 10 raised to some power, n
n is simply the number of zeroes in the full written-out form of the number
In this problem n=9
so
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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;
