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joja [24]
3 years ago
9

if the rate of change of a population is given by dP/dt=3.1(P-2)(P-10), P>0, for what values of P is the population increasin

g
Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
You have to test dp/dt between these intervals
(-inf,2)
(2,10)
(10,inf)
if dp/dt is positive then the population is increasing with respect to time in that interval
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Solve for x in the equation x^2+10x+12=36.
Alexandra [31]
Solve for x:
x^2 + 10 x + 12 = 36

36 = 36:
x^2 + 10 x + 12 = 36

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x^2 + 10 x = 24

Add 25 to both sides:
x^2 + 10 x + 25 = 49

Write the left hand side as a square:
(x + 5)^2 = 49

Take the square root of both sides:
x + 5 = 7 or x + 5 = -7

Subtract 5 from both sides:
x = 2 or x + 5 = -7

Subtract 5 from both sides:
Answer:  x = 2 or x = -12 Thus the Answer is A.
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3 years ago
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. t
Zolol [24]
Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3

Side 2 and side 3 are the longer two congruent sides

Add up the three sides and set them equal to the given perimeter of 33. Solve for x

(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
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If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
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Answer: 13 inches
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4 years ago
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Olenka [21]
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry 
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C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry
7 0
3 years ago
A particular amuesment park ride will make 150 revolitions in 180 seconds at this rate how many revolutions will it make in 2 mi
ASHA 777 [7]

Answer:

100 revolitions

Step-by-step explanation:

180s = 3min

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7 0
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Nezavi [6.7K]

Answer:

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Step-by-step explanation:

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