Answer:
The absolute value of 7 is 7
Step-by-step explanation:
Brainliest?
(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.
297 L = 0.297 kl
just multiply by 0.001, the ones place should go to the thousandths place.
Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a