<span>Since: v =sqrt(3)/2 s^2h
6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft
but by proportion s/h = 10/25
s = 10/25 h
and v = sqrt(3)/2 (10/25 h)^2 h
239.299 = 0.139 h^3
h = (239.299/0.139)^(1/3) = 11.985 ft</span>
Answer:
240/(v+40) + 1 > 240/v
Step-by-step explanation:
Both parties traveled a distance of 240 km.
Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1
Jacksons took off at average speed of v km/h: 240/v
Answer:
12 is the answer.
Step-by-step explanation:
The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.
Now we will try to factorize
x² - 8x -48 = 0
Now we multiply coefficient of highest degree term and constant term
48×1 = 48 which may be factored in 12×4. 8×6, 24×2.
Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.
Now its simple.
x²-12x + 4x -48 = 0
x(x -12) + 4(x-12) = 0
(x +4)(x-12) = 0
Therefore roots are x + 4 = 0
x = -4
and x - 12 = 0
x = 12
So the answer is 12.
Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82
To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
4x = 44
x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
Answer: 300ft
Step-by-step explanation: