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VashaNatasha [74]
3 years ago
15

Explain what is the better buy. 1 litre of milk for 75p or 2 pints of milk for 75p. make sure to explain why.

Mathematics
2 answers:
Soloha48 [4]3 years ago
7 0

Answer:

1 litre of milk for 75p

Step-by-step explanation:

1 pint ≈ 473 ml

2 pints = 2×473ml =  946 ml

1 l = 1000 ml

pantera1 [17]3 years ago
5 0

Answer:

1 liter of milk in the US.

2 pints of milk in the UK.

Step-by-step explanation:

1 liter = 1.76  UK pints.

So 2 pints of milk is the best buy if you are in the UK.

In the US:

1 liter = 2.11 pints

So 1 liter is the best buy in the US.

I'm guessing you're from the UK because you spell litre this way.

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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.
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a) y(t) = y_{0}e^{4t} + 2. It does not have a steady state

b) y(t) = y_{0}e^{-4t} + 2. It has a steady state.

Step-by-step explanation:

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Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

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C is a constant, so (C)' = 0.

-4C = -8

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y(t) = y_{n}(t) + y_{p}(t)

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b) y' +4y = 8

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y' + 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r + 4 =

r = -4

So:

y_{n}(t) = y_{0}e^{-4t}

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' +4(y_{p}) = 8

(C)' + 4C = 8

C is a constant, so (C)' = 0.

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{-4t} + 2

6 0
3 years ago
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