The lowest value of sinα is -1.
When x=1, you get:
So the maximum value of the function is 15.
The number of visits Liam can make to earn his first free movie ticket is: 8.4.
<h3>
Number of visits Liam can make</h3>
Let x represent the number of visits
Formula
55+12.5×x=160
Re-arrange
12.5x=160-55
12.5x=105
Divide both side by 12.5x
x=105/12.5
x=8.4 visits
Therefore the number of visits Liam can make to earn his first free movie ticket is: 8.4.
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When you subtract and add what is in the parentheses you would get -15 so I’m guessing he didn’t go from left to right when working inside the parentheses but when you solve the whole problem out you would get the answer: -41.25 If I missed something or you need me to show the work just let me know but I hope this helps !
<span>The Volume of a Cylinder = </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume =
<span>
<span>
<span>
2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 =
<span>
<span>
<span>
28.625
</span>
</span>
</span>
hours
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The volume of the pool is:
volume = PI * 182.25 * 4.5
=
<span>
<span>
<span>
2,576.</span></span></span>5 cubic feet
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