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2 years ago

14

Liam earns $12 for each hour of dog walking. How many hours in all will it take Liam to

2 answers:

Snowcat [4.5K]2 years ago

8 0

Answer: 4 hours

Step-by-step explanation you have to divide 48 and 12

48÷12=4

so he walked the dog for 4 hours

qaws [65]2 years ago

8 0

4 hours is the answer

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klasskru [66]

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8 0

3 years ago

3x-2y=6<br> 2x-y=5 <br><br> Solve the system by substitution

nalin [4]

The answer is

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7 0

3 years ago

For the graph shown, select the statement that best represents the given system of equations. Number graph ranging from negative

Bumek [7]

This system of equations is consistent and independent, because there is only one solution. the answer is C

7 0

3 years ago

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const2013 [10]

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2 years ago

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago