6 - 8a + 5a - 35
1 answer:
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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 (1)
where t = 0 corresponds to 1980.
Then , for 2009
t= 2009-1980=29
a. ⇒The population of Phoenix in 2009 =
Hence, the population of Orlando in 2009 was about 236,000.
b) Substitute p= 300 in (1) , we get
(Divide both sides by 130)
Taking Natural log on both sides,
Hence, The year Orlando will have a population of 300,000 =1980+41 =2021
Answer:
Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .
Q -14 The glide runway path is 24,752.47 feet .
Step-by-step explanation:
Q - 12
Given as :
The diagonal length of the elevator = e = 1.2 meters
The vertical length of the top part of elevator to ground = x meters
The angle made by elevator with ground = Ф = 45°
<u>Now, According to figure</u>
Sin angle =
Or, Sin Ф =
Or, Sin 45° =
Or, 0.707 × 1.2 meters = x
∴ x = 0.8484 meters
So, The vertical length of the top part of elevator to ground = x = 0.8484 meters
Hence,The vertical length of the top part of elevator to ground is 0.8484 meters . Answer
Q-14
Given as:
The altitude of decent of plane = H = 10,000 feet
The angle of descend = Ф = 22°
Let the glide runway path = y feet
<u>Now, According to question</u>
Tan angle =
Or, Tan Ф =
Or, Tan 22° =
Or, 0.4040 =
Or, y =
∴ y = 24,752.47
So,The glide runway path = y = 24,752.47 feet
Hence, The glide runway path is 24,752.47 feet . Answer