Write a recursive sequence for the following: 27, 33.5, 40, 46.5

where p0 is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 14.7 lb/in.2 at sea level

balu736 [363]

Answer:

The value of pressure at an altitude of 10000 ft = 10 $\frac{lb}{in^{2} }$

Step-by-step explanation:

Given data

Atmospheric pressure $P_{0}$ = 14.7 $\frac{lb}{in^{2} }$

Pressure at 4000 ft = 12.6 $\frac{lb}{in^{2} }$

If temperature is constant then the atmospheric pressure is varies with the altitude according to law

P (h) = $P_{0}$ $e^{- kh}$ ------ (1)

where k= constant & h = height

12.6 = 14.7 $e^{- 4000k}$

0.857 = $e^{- 4000k}$

㏑ 0.857 = - 4000 k

-0.154 = - 4000 k

k = 3.85 × $10^{-5}$

Thus the atmospheric pressure at an altitude of 10,000 ft is

$P_{10000} =$ 14.7 × $e^{- kh}$ ----- (2)

Product of k & h is

k h = 3.85 × $10^{-5}$ × 10000

k h = 0.385

Put his value of k h = 0.385 in equation (2) we get

$P_{10000} =$ 14.7 × $e^{-0.385 }$

$P_{10000} =$ 10 $\frac{lb}{in^{2} }$

This is the value of pressure at an altitude of 10000 ft.

7 0

3 years ago

Riley has 3 5/9 gallons of fuel left in his car. He uses 7/16 of the fuel to drive to the bank. Then, he uses 2/5 of the remaini

nevsk [136]

He has 2 8/9
Gallons left

7 0

3 years ago

Read 2 more answers

3 2/5 time 5. Show work

xenn [34]

let's firstly convert the mixed fraction to improper fraction and then multiply.

$\bf \stackrel{mixed}{3\frac{2}{5}}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\implies 17$