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Fed [463]
2 years ago
7

The sum of three consecutive is -120. What are the three integers?

Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Answer:

-30 -40 -50

are the integers...

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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
The area of a triangle is 24sq inches. If the base of the triangle is 6 inches, what is the height?
Helen [10]

Answer:

8 inches

Step-by-step explanation:

To find the area of a triangle, we use the formula

A = 1/2 bh where b is the length of the base and h is the height

A = 24 and b = 6

24 = 1/2 (6) * h

24 =3h

Divide each side by 3

24/3 = 3h/3

8 =h

The height is 8 inches

4 0
3 years ago
Read 2 more answers
DO NOW
klasskru [66]

Answer:

slope is the rate at which a function progresses. y intercept a point that passes through they x axis when it is 0. ex) (0,9)

equation written as y=ax +b

b = y intercept

ax = slope

ax = y2-y1/x2-x1

take 2 random points

(0,3) (-2,0)

slope : 0-3/-2=0 = -3/-2 = 3/2

y intercept = 3 because x = 0 and y =3

<u>equation = y =3/2x + 3</u>

Step-by-step explanation:

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3 years ago
Please help, will mark brainliest
Delicious77 [7]
Sorry it took so long, here is your answer:

5 0
3 years ago
Which relation is a function
SVETLANKA909090 [29]
The first one, the other graphs do not pass the Vertical line Test. they intersect at more than one point on the graph
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