First, change 2/5 into a decimal by dividing 2 by 5. Decimal= .4. Now move the decimal 2 places to the right to find percentage. Answer is 40%
9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
Answer:
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Answer:
Part 1) ----->
Part 2) ---->
Part 3) ----> All real numbers
Part 4) ---->
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is
Part 2) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is
Part 3) we have
Applying the distributive property
This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have
we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero
Remember that
(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is
Answer: 2 feet below normal