For this case we have the following equation:
Where, we have the following variables:
x: time in seconds
y: speed in feet per seconds
For the initial velocity, we evaluate x = 0 in the given equation:
Therefore, the initial speed is 12 feet per second.
Answer:
The particle's initially velocity is 12.
The maximum possible area would have a length of 24 feet and width of 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length and y represent the width, hence:
Since beth has 48 ft fencing and cover 3 sides, hence:
x + 2y = 48
x = 48 - 2y (1)
Also:
Area (A) = xy
A = (48 - 2y)y
A = 48y - 2y²
The maximum area is at A' = 0, hence:
A' = 48 - 4y
48 - 4y = 0
y = 12 feet
x = 48 - 2(12) = 24
The maximum possible area would have a length of 24 feet and width of 12 feet.
Find out more on equation at: brainly.com/question/2972832
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The second to last one, looks like a really tall speed bump
Do $27.58 x .06 (for the sales tax) which equals in total $1.65.
Then do $27.58 x .18 (for the tip) which equals $4.96 in total.
Later add the tip and tax together which you get $6.61,add that to $27.58 and you'll get $34.19 total adding the tax and tip
