The sequence given is 2, 6, 10, 14
Noticing this sequence, we will find that the sequence increases by 4 each time. This means that:
The next number = the current number + 4
In other words:
2
2+4 = 6
6+4 = 10
10+4 = 14
14+4 = 18
Therefore, the next number in the sequence would be 18
B
First you have to change 2 1/2 into 5/2
To multiply fractions use the method
Keep Change Flip
5/2 x 3/1 =15/2
Which simplifies to 7 1/2
<em>Answer: h = 120 ft; w = 80 ft </em>
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<em>A = 9600 ft^2</em>
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<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>
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<em>A = h*w (eq1)</em>
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<em>The total amount of fence used is:</em>
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<em>L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)</em>
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<em>Solving for w:</em>
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<em>w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:</em>
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<em>We derive this and equal zero to find its maximum:</em>
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<em> Solving for h:</em>
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<em>h = 120 ft. Replacing this into eq3:</em>
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<em>w = 80ft</em>
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<em>Therefore the maximum area is:</em>
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<em>A = 9600 ft^2</em>
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80, -160, 320, and so on. You just multiply by -2 each time!
Answer:
x= -31
Step-by-step explanation:
