Answer:
he would need to make 11 bags of scones.
Step-by-step explanation:
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Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
Step-by-step explanation:
1. Radius=3cm, diameter=6cm
Circumference=3.14×6cm=18.84cm
2. Radius=6in, diameter=12in
Circumference=3.14×12in=37.68in
3. Radius=9mm, diameter=18mm
Circumference=3.14×18mm=56.52mm
Answer:
slope is -3 and y intercept is 1
Step-by-step explanation:
The slope is the difference between two points on a graph. The y intersept is where the line touches the y axis. That majes the y intersept 1.