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Anna35 [415]
4 years ago
12

The area of a rectangular wall of a barn is 198 square feet Its length is 4 feet longer than twice its width

Mathematics
1 answer:
fgiga [73]4 years ago
5 0
<span>L=2W+4 L is the length and W is the width.
W(2W+4)=198

2W^2+4W-198=0

2(W^2+2W-99)=0

2(W+11)(W-9)=0

</span><span>W-9=0

W=9 feet is the width. 

L=2*9+4=18+4=22 and is the length.

Proof: 

9*22=198

198=198 -Jerry 
</span>
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Step-by-step explanation:

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What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth? Data Set 1: {85, 83, 90, 70, 8
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Here is what I got for the first one. MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|85-83|+|83-83|+|87-83|+|90-83|+|70-83|) =1/5(2+0+4+7+13)) =5.2 And for the second one I got, MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|75-76|+|74-76|+|68-76|+|83-76|+|80-76|) =1/5(1+2+8+7+4)) =4.4
6 0
4 years ago
If the world's population increased exponentially from 5.937 billion in 1998 to 7.238 billion in 2014 and continued to increase
horrorfan [7]

Answer: The world's population in 2015 would have been 7.333 billion.

Step-by-step explanation:

  • Since the increase in population is an exponential one. It then follows a geometric progression defined by, T_{n} = ar^{n - 1}

  • Where T_{n} is the nth term, <em>a</em> is the 1st term, <em>r</em> is the common ratio.

  •  Therefore, the population in <u>1998</u> is the <u>first term</u> <em>a</em> = 5.937 billion. The population in <u>2014</u> corresponds to the <u>17th term </u>(i.e., <em>n </em>= 17) = 7.238 billion.

Hence, T_{n} = ar^{n - 1}

7.238 billion = 5.937 billion × r^{17 - 1}

r^{16} = (7.238 billion) ÷ (5.937 billion)

= 1.219

<em>r</em> = \sqrt[16]{1.219}

<em>r</em> = 1.0125

To get the population in 2015, which is the 18th term. We use

T_{n} = ar^{n - 1}

T_{18} = 5.937 billion × 1.0125^{18 - 1}

= 5.937 billion × 1.0125^{17}  

= 5.937 billion × 1.235

T_{18} = 7.333 billion

4 0
4 years ago
Read 2 more answers
Please help me with this questions
zalisa [80]
He messed up step 2 he added instead of multiplying
4 0
3 years ago
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