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Vesnalui [34]
3 years ago
7

What expression gives the height, h, of the triangle?

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0
ABD its ABD Please please
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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
What element has 6 protons and 9 neutrons
insens350 [35]

Answer:

A carbon atom.

Step-by-step explanation:

All carbon atoms have 6 protons however the amount of neutrons can vary but doesnt change the element.

7 0
3 years ago
Whats -5/3+ 2 1/3 please help i dont wanna failPLWASEEE
Softa [21]

Step-by-step explanation:

=  -  \frac{5}{3}  + 2 \frac{1}{3}

= - \frac{5}{3} +  \frac{7}{3}

=  \frac{2}{3}

7 0
3 years ago
socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is th
just olya [345]

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

6 0
2 years ago
Help me out. Solving equations!!!
Dmitry [639]
First one would be 11:
11 x 3 = 33
33 - 5 = 28
7 0
3 years ago
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