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Answer: 13.722 km ; or, write as: 13 13/18 km .
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Explanation:
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Area = Length * width ;
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or, write as: A = L * w ;
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Given: A = 247 km² ;
L = 18 km ;
w = "y" ;
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Find: "y"
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A = L * w ;
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Plug in our values:
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247 km² = 18 km * "y" ; solve for "y" (in units of "km") ;
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18 y = 247 ;
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Divide each side of the equation by "18"; to isolate "y" on one side of the equation; and to solve for "y" :
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18 y / 18 = 247 / 18 ;
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to get:
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y = 13.7222222222222222...... km ; round to: 13.722 km
or; y = 13 13/18 km .
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$20.70
Eighteen dollars
Fifteen percent of eighteen is 2.7
(.15 X 18)+18
5 meters. The area of the sidewalk has to be 10 meters and has to contain the 20 meter sandbox. The total area is thirty meters, so the length and width of the sidewalk is 6x5
Answer: Choice B
a_n = 10(1/2)^(n-2) is the nth term
average rate of change = -35/3
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Explanation:
Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.
If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.
Use the slope formula to find the slope of the line through (0,40) and (3,5)
m = (y2-y1)/(x2-x1)
m = (5-40)/(3-0)
m = -35/3
The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3
The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.
In other words, 20(1/2)^(n-1) is equivalent to 10(1/2)^(n-2) when n starts at n = 1.
