Response:
240- 360
Step-by-step breakdown:
First, determine how many minutes are in an hour, which is 60. Multiply that by 2 to find the total for 2 hours, resulting in 120 minutes. Next, you calculate the total for 2 hours by multiplying 2 by 120, yielding 240. Then, multiply 3 by 120 for a total of 360.
I'm unsure if this answer is accurate, but that's my approach.:)
The mistake is present in step 3. According to the product rule, we find
(meaning that a factor of 
is overlooked)
Then
3 feet equals 1 yard. This simplifies to 12/3 = 4 and 15/3 = 5. Therefore, by multiplying these together, you find that each room requires 20 square yards, leading to a total of 40 square yards for both rooms.
<span>The system of equations that can determine if the commuter jet’s flight path crosses the restricted airspace is:
y = \frac{1}{4}(x - 10)^2 + 6 (i)
y = \frac{-27}{34}x - \frac{5}{17} (ii)
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Here's why:
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The closed airspace boundary is defined by points (10, 6) and (12, 7).
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The commuter jet’s linear path runs from (-18, 14) to (16, -13).
Equation (i) describes the boundary since it fits both (10, 6) and (12, 7):
For (10, 6):
\frac{1}{4}(10-10)^2 + 6 = 6 (true)
For (12, 7):
\frac{1}{4}(12-10)^2 + 6 = 1 + 6 = 7 (true)
Equation (ii) represents the commuter jet’s path as it fits both (-18, 14) and (16, -13):
For (16, -13):
-13 = \frac{-27}{34} \times 16 - \frac{5}{17} = -13 (true)
For (-18, 14):
14 = \frac{-27}{34} \times (-18) - \frac{5}{17} = 14 (true)
By solving this system, we can confirm that the jet’s flight path intersects the closed airspace.
Total: 737.38 + 618.57 equals 1,355.95, which is Choice A.
