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1 answer:
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Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the measurement of the roof is 5 m by 9 m on both sides. Hence:
Area of roof = 2 (5 * 9) = 90 m²
Since solar panels cost $4.00 per square meter, therefore:
Cost of solar panels = $4.00 per square meter * 90 m² = $360
The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²
The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²
Area of each side wall of barn = 9 m * 7 m = 63 m²
Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²
Cost of shingles = $2.50 for each square meter * 246 m² = $615
Total cost of project = $615 + $360 = $975
