Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
4 fiction to 1 nonfiction
(4 x 7 = 28) fiction to (1 x 7 = 7) nonfiction
Therefore, the required ratio is 28 to 7
Answer: 56 mph
Step-by-step explanation:
48 miles x 2 hours = 96 miles
60 miles x 4 hours = 240 miles
240 + 96 = 360 total miles
360 / 6 (hours) = 56 mph
1/23 = 0.043
I hope this helps :)
The LCD for 3/10,20/25,and 18/75 is 150
