Answer:
The rate rate of change of radius is 
inches per second when the diameter is 12 inches.
The radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Consider the provided information.
A spherical balloon is being inflated at a rate of 3 cubic inches per second.
The volume of sphere is 
Differentiate the above formula with respect to time.
Substitute the respective values in the above formula,
The rate rate of change of radius is inches per second when the diameter is 12 inches.
When d=16
Thus, the radius is changing more rapidly when the diameter is 12 inches.
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<span>Use a proportion:
x/(5 1/2) = 50/4
--------
x = (11/2)(50/4)
--------
x = 550/8
----
x = $68.75</span>
Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.
Answer:
Step-by-step explanation:
we know that
The expression Subtract 
from 
is equivalent to the algebraic equation
Group terms that contain the same variable
Combine like terms
