Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:
In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So
The radius of a sphere is increasing at a rate of 4 mm/s.
This means that 
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is 
when 
. So
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Well, since we are using the Pythagorean theorem, i would suppose that the other side length of the triangle would be 4 centimeters, because of the 3, 4, 5 rule.
This is a word problem so translate to math so this is asking 6+(4/2) which is 8
Answer:
4. Think of one major difference in the beliefs of Judaism and Christianity. How could this difference impact the everyday lives of followers of these religions?
Answer: 7 inches
Step-by-step explanation:
If x is the first piece, and the second piece is twice as long, then the second piece is 2x.
If the third piece is three times as long as the first piece, x, then the third piece is 3x.
The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.
42 = x + 2x + 3x
42 = 6x
42 = 6x
7 = x
The first piece is 7 inches long.
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