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iren [92.7K]
3 years ago
15

Compare the exponential model of population growth with the logistic model.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0
No picture of graph no answer sorry
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An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
A dinner plate has a circumference of 106.76 cm. What is the area of the dinner plate? Use = 3.14.
Sphinxa [80]
C=2pr,  r=c/(2p)

a=pr^2, using r found above we get:

a=p(c^2/(4p^2))

a=(c^2)/(4p), since c=106.76 and we approximate pi as 3.14

a=(106.76^2)/(4*3.14)

a=11612.2176/12.56 cm^2

a≈924.54 cm^2  (to nearest one-hundredth of a square cm)
3 0
2 years ago
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
Leto [7]
2x-4=3-x +1
<span>Simplifying 2x + -4 = 3 + -1x + 1
 Reorder the terms: -4 + 2x = 3 + -1x + 1
 Reorder the terms: -4 + 2x = 3 + 1 + -1x
 Combine like terms: 3 + 1 = 4 -4 + 2x = 4 + -1x
 Solving -4 + 2x = 4 + -1x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right.
 Add 'x' to each side of the equation. -4 + 2x + x = 4 + -1x + x
 Combine like terms: 2x + x = 3x -4 + 3x = 4 + -1x + x
 Combine like terms: -1x + x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4
 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4
 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4
Combine like terms: 4 + 4 = 8 3x = 8
 Divide each side by '3'. x = 2.666666667
 Simplifying x = 2.666666667</span>
8 0
3 years ago
Read 2 more answers
A _____ is the amount you pay for the purchase of a house that decreases the amount of the loan.
tatyana61 [14]
A) down payment .....
4 0
3 years ago
Andre bake some pieces he puts 24 mushrooms on veggie pizza veggie pizza has three times as many mushrooms as a sausage pizza ho
GenaCL600 [577]

Answer:

the sausage pizza has 12 mushrooms on it.

7 0
3 years ago
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