(So sorry I answered late, btw.. I got this from the web)
Answer:
Step-by-step explanation:
Given that In the coordinate plane line p had slope 8 and y intercept (0,5).
Hence equation of line p is
y = 8x+5 (slope intercept form)
When we dilate p by a factor of 3, we have
we find that slope would remain the same but the y intercept would become 3 times.
Hence new line would be
y = 8x+15
Slope = 8 and y intercept = 15
This line will be parallel to original line.
Given:
Fabric required for each chair = 10 yards
Fabric required for each sofa = 20 yards.
Total available fabric = 300 yards.
The number of sofas must be at least twice the number of chairs.
Profit on each chair = $50
Profit on each sofa = $80.
To find:
The function that represents the manufacturer's profit, P.
Solution:
Let P represents the manufacturer's profit, x represent the number of chairs and y represent the number of sofas.
Profit on 1 chair = $50
Profit on x chairs = $50x
Profit on 1 sofa = $80
Profit on y sofas = $80y
Total profit = Profit on x chairs + Profit on y sofas
Therefore, the required profit function is .
Answer:
a) Specific volume of the air in balloon is
b)The weight of the air within the balloon is 1,126.09 lbf.
Step-by-step explanation:
Mass of air, m = 35 lbm
Volume of the air = V
Diameter of balloon = d = 10 ft
radius of the balloon = r= 0.5 d = 5 ft
Volume of balloon = V
Specific volume of the air in balloon = S
Specific volume of the air in balloon is
Weight of the air = W
Acceleration due to gravity =
Weight = m\times g[/tex]
The weight of the air within the balloon is 1,126.09 lbf.