For this case we have the following equation:
h = -16t2 + 64t + 80
To find the maximum height, we derive the equation:
h = -32t + 64
We match zero:
-32t + 64 = 0
We clear t:
t = 64/32
t = 2
We substitute the value of t in the given equation:
h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
h (2) = 144
Answer:
The maximum height is 144 feet and the time to reach this height is 2 seconds.
The steps to use to construct a frequency distribution table using sturge’s approximation is as below.
<h3>How to construct a frequency distribution table?</h3>
The steps to construct a frequency distribution table using Sturge's approximation are as follows;
Step 1: Find the range of the data: This is simply finding the difference between the largest and the smallest values.
Step 2; Take a decision on the approximate number of classes in which the given data are to be grouped. The formula for this is;
K = 1 + 3.322logN
where;
K= Number of classes
logN = Logarithm of the total number of observations.
Step 3; Determine the approximate class interval size: This is obtained by dividing the range of data by the number of classes and is denoted by h class interval size
Step 4; Locate the starting point: The lower class limit should take care of the smallest value in the raw data.
Step 5; Identify the remaining class boundaries: When you have gotten the lowest class boundary, then you can add the class interval size to the lower class boundary to get the upper class boundary.
Step 6; Distribute the data into respective classes:
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Answer:
y = 6
Step-by-step explanation:
To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.
