Answer:
The function notation of the provided function is .
Step-by-step explanation:
Consider the provided information.
We need to write in function notation.
It is given that y is the dependent variable.
To write the above equation in function notation, solve the above equation for y and replace y with f(x).
Subtract 5x from both the sides.
Now replace y with f(x).
Hence, the function notation of the provided function is .
Answer:
Step-by-step explanation:
In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.
For simplicity, lets see how many carrots each can make in 1 hour.
Janet can plant 36 feet of carrots in one hour
Amy can plant 34 feet of carrots in one hour
So, Janet can plant carrots more quickly
The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.
<h3>How to calculate the volume of a hemisphere?</h3>The volume of the hemisphere is calculated by using the formula,
= × π × r³ cubic units
where r is the radius of the hemisphere.
<h3>Calculation:</h3>It is given that,
A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.
So, the volume of the bowl is
V = × π × (1)³
= × π cubic feets
The volume of each smaller hemisphere-shaped mold = × π × r³ cubic units
So, for 27 molds, the volume = 27 × × π × r³ cubic units
All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.
Then,
× π = 27 ×
× π × r³
⇒ r³ = 1/27
⇒ r = 1/3 ft
Therefore, the required radius of each of the smaller molds is 1/3 foot.
Learn more about the volume of a hemisphere here:
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