Find the mode of the data of 10 12 11 10 7 6 7
1 answer:
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From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
<h3>What is a linear function?</h3>A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The initial height is the intercept.
- The melting rate, as a negative, is the slope.
Hence the functions are given as follows:
- A(t) = 51 - 6t.
- B(t) = 36 - 3t.
The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.
Step-by-step explanation:
A gallon equals 0.134 cubic feet. First, we determine the amount of water (), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:
(1)
Where:
- Volume rate, measured in feet per minute.
- Time, measured in minutes.
If we know that and
, then the amount of water is:
And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:
(2)
Where:
- Diameter, measured in feet.
- Height, measured in feet.
If we know that and
, then the minimum diameter is:
The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.