Answer:
0.9
Step-by-step explanation:
plz brainliest
Answer:
f(- 2) = 21
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = - 5(2(- 2) + 1) + 6 = - 5(- 4 + 1) + 6 = - 5(- 3) + 6 = 15 + 6 = 21
Answer: Two strong parties that win most elections.
Step-by-step explanation: “ The modern two-party system consists of the "Democratic" Party and the "Republican" Party. ... These two parties have won every United States presidential election since 1852 and have controlled the United States Congress since at least 1856.”
This means that the two strong parties are Democrats and the Republicans, those of which who wins most/all elections.
Its an exponential growth
(a) Let denote the amount of sugar in the tank at time . The tank starts with only pure water, so .
(b) Sugar flows in at a rate of
(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min
and flows out at a rate of
(<em>A(t)</em>/1080 kg/L) * (7 L/min) = 7<em>A(t)</em>/1080 kg/min
so that the net rate of change of is governed by the ODE,
or
Multiply both sides by the integrating factor to condense the left side into the derivative of a product:
Integrate both sides:
Solve for :
Given that , we find
so that the amount of sugar at any time is
(c) As , the exponential term converges to 0 and we're left with
or 75.6 kg of sugar.