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ahrayia [7]
3 years ago
5

There are 22 chairs in the classroom. 7 of the chairs are wood. The rest are plastic. How many chairs are plastic

Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

15

Step-by-step explanation:

22-7=15

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3 years ago
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}

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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
Functions 1 and 2 are shown below: Function 1: f(x) = −3x2 + 2 A graph of a parabola with x intercepts of negative 0.5, 0 and 2,
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Step-by-step explanation:

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xeze [42]
Yes -5/0 is undefined because having 0 of something means you cannot split that 0 into any number so the answer is undefined.
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3 years ago
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