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elena-s [515]
3 years ago
9

An object moves clockwise around a circle centered at the origin with radius 5 m beginning at the point ​(0,5​). a. Find a posit

ion function r that describes the motion of the object moves with a constant​ speed, completing 1 lap every 8 s. b. Find a position function r that describes the motion if it occurs with speed e Superscript negative t.
Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

a, r = A sin (ωt±Ф) =5 Sin (3.9 t ± 2π) b. A e^-ωt = 5 e^-3.9 t

Step-by-step explanation:

ω =2πr/t =2π*5/8 =3.9 rad/sec, amplitude will be 5 (0, 5 )

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16-5x

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Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

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a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

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Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

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Find the inverse y=3x+2
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Paul biked 55 miles in 10 hours . what is the unit rate of miles per hour
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Since he travels a total of 55 miles in 10 hours, you need to divide.

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total hours/total miles = miles per hour

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