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Hello! The sum of the two quotients are 5x+8x=13x
Hope this helps. Any questions please ask. Thank u kindly.
Answer:
The proportionality constant is 2/5
Step-by-step explanation:
Here, we want to get the proportionality constant
Let us view the two points as being points on a line
The constant of proportionality will be the slope of the line that connects the two points
Mathematically, we can use the formula for the slope of a line
We have this as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (20,8)
(x2,y2)= (25,10)
m = (10-8)/(25-20) = 2/5
1) Johnson's profit is
... net profit = selling price - costs = $155 - 35.00 - 39.17 - 36.43 = $44.40
His net earnings per hour are then
... earnings/hours = $44.40 / (4.5 h) = $9.87/h
2) net profit = selling price - overhead - cost
... net profit = selling price - 0.45 × selling price - cost . . . . substitute for overhead
... net profit = 0.55 × selling price - cost
Given that overhead = 0.45 × selling price, we can find selling price by dividing by 0.45:
... selling price = overhead/0.45
Using this in the profit equation, we have
... net profit = 0.55×(overhead/0.45) - cost
... = (0.55/0.45) × $65.34 - 49.32 . . . . . . substitute given numbers
... net profit = $30.54
9514 1404 393
Answer:
1094 ft
Step-by-step explanation:
The initial kinetic energy of the rocket will have been completely converted to potential energy when ...
1/2v^2 = gh
where v is the initial vertical velocity, g is the acceleration due to gravity, and h is the height attained. Solving for h gives ...
v^2/(2g) = h
(256 ft/s)²/(2(32 ft/s²)) = 1024 ft
The rocket will attain a height of 1024 feet above the building, or ...
1024 ft + 70 ft = 1094 ft . . . . height above the ground