The maximum height of the function is 9
<h3>How to determine the maximum height?</h3>
The equation of the function is given as:
n=-1t^2 + 2t + 8
Differentiate the function
n' = -2t + 2
Set to 0
-2t + 2 = 0
Subtract 2 from both sides
-2t = -2
Divide both sides by -2
t = 1
Substitute t = 1 in n=-1t^2 + 2t + 8
n=-1(1)^2 + 2(1) + 8
Evaluate
n=9
Hence, the maximum height of the function is 9
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Answer: 95/144
Explanation:
There are 12 light bulbs.
There are 5 defective bulbs.
There are 7 not defective bulbs.
P (at least one defective) = first one defective or second one defective or both defective.
P (at least one defective) = (5/12)(7/12) + (7/12)(5/12) + (5/12)(5/12) = 95/144
To convert radians to degrees, multiply by <span><span>180π</span><span>180π</span></span>, since a full circle is <span><span>360°</span><span>360°</span></span> or <span><span>2π</span><span>2π</span></span> radians.<span><span><span>(<span><span>9π</span>4</span>)</span>⋅<span><span>180°</span>π</span></span><span><span>(<span><span>9π</span>4</span>)</span>⋅<span><span>180°</span>π</span></span></span>Cancel the common factor of <span>ππ</span>.Tap for more steps...<span><span><span>94</span>⋅<span>1801</span></span><span><span>94</span>⋅<span>1801</span></span></span>Cancel the common factor of <span>44</span>.Tap for more steps...<span><span><span>91</span>⋅<span>451</span></span><span><span>91</span>⋅<span>451</span></span></span>Simplify.Tap for more steps...<span>405405</span>Convert to a decimal.<span><span>405°</span><span>405°</span></span>For angles greater than <span><span>360°</span><span>360°</span></span>, subtract <span><span>360°</span><span>360°</span></span> from the angle until the angle is less than <span><span>360°</span><span>360°</span></span>.<span>4545</span>The angle is in the first quadrant.Quadrant <span>1</span>
11 1/2 is your answer good luck!
40% of 120 is 48
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