Yes 0.034 is the correct answer
Answer:
170 miles apart
Step-by-step explanation:
1 inch is 17 miles, so 10 inches will represent 170 miles.
![1x=17y\\10x=17y*10\\10x=170y](https://tex.z-dn.net/?f=1x%3D17y%5C%5C10x%3D17y%2A10%5C%5C10x%3D170y)
x stands for inches, y for miles, and * for multiplication.
First we multiply both sides by 10, then we simplify.
Answer:
The roots are
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![x = - 3 + \frac{1}{3} i \: \: \: or \: \: \: x = - 3 - \frac{1}{3} i \\](https://tex.z-dn.net/?f=x%20%3D%20%20-%203%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20%20i%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%203%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20i%20%5C%5C%20)
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Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
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![x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac} }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20b%5Cpm%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%20-%204ac%7D%20%7D%7B2a%7D%20)
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From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
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![x = \frac{ - 54\pm \sqrt{ {54}^{2} - 4(9)(82)} }{2(9)} \\ x = \frac{ - 54\pm \sqrt{2916 - 2952} }{18} \\ x = \frac{ - 54\pm \sqrt{ - 36} }{18} \\ x = \frac{ - 54\pm 6i}{18}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%2054%5Cpm%20%5Csqrt%7B%20%7B54%7D%5E%7B2%7D%20%20-%204%289%29%2882%29%7D%20%7D%7B2%289%29%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%2054%5Cpm%20%5Csqrt%7B2916%20-%202952%7D%20%7D%7B18%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%2054%5Cpm%20%5Csqrt%7B%20-%2036%7D%20%7D%7B18%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%2054%5Cpm%206i%7D%7B18%7D%20)
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Separate the real and imaginary parts
That's
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![x = - \frac{54}{18} \pm \frac{6}{18} \: i \\ x = - 3\pm \frac{1}{3} i](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B54%7D%7B18%7D%20%5Cpm%20%5Cfrac%7B6%7D%7B18%7D%20%20%5C%3A%20i%20%5C%5C%20x%20%3D%20%20-%203%5Cpm%20%5Cfrac%7B1%7D%7B3%7D%20i)
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We have the final answer as
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![x = - 3 + \frac{1}{3} i \: \: \: or \: \: \: x = - 3 - \frac{1}{3} i \\](https://tex.z-dn.net/?f=x%20%3D%20%20-%203%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20%20i%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%203%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20i%20%5C%5C%20)
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Hope this helps you
I think it would be 1225000 because:
$7,500 each to the govt each comes out to $37,500 total given
237,500 each to the kids comes out to 41,187,500 total given
so adding both totals, you get $1,225,000 total money in Great Uncle Wilbert's inheritance
apparently he was rich xD
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Answer:
N(4) = 4
Step-by-step explanation:
The given function is N(u) = 4, where N is the function and u is the independent variable.
Now, the value of the function N(u) is a constant and independent of u variable.
Therefore, for each and every value of the variable u the N(u) will be 4 and this is a constant function.
Hence, N(4) = 4 ( Answer )