Answer:10
Step-by-step explanation:
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Answer:
5x^5
Step-by-step explanation:
45x/9x = 5x
15 - 10 = 5
5x^5
Answer:
(B)
Step-by-step explanation:
Volume of fluid in the tank =1000 gallons
Initial Amount of Salt in the tank, A(0)= 30 pounds
Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.
Rate In=(concentration of salt in inflow)(input rate of brine)
The resulting mixture is pumped out at the same rate, therefore:
Rate Out =(concentration of salt in outflow)(output rate of brine)
Therefore:
The rate of change of amount of salt in the tank,
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
Answer:
-15 and -2
Step-by-step explanation:
Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.
Negative Factors of 30:
-30 + -1 = -31
-15 + -2 = -17
-10 + -3 = -13
-6 + -5 = -11
The two factors of 30 that add up to -17 are -15 and -2.
Hope this helps. Have a nice day.
