Answer:
(A) 5.47 km
(B) 1.38 km
Step-by-step explanation:
The relationship between Pressure (mmHg) and Height (km) is given by the equation below:
p =760 e⁻ 0.145h----------------------------------------------------- (1)
(a) The height of the aircraft can be calculated by making 'h' the subject of equation (1)
In (p/760) = -0.145 h
h = -In (p/760) /0.145
h= In (760/p)/ 0.145------------------------------------------------- (2)
For the aircraft, p =344 mmHg; substituting into (2)
h = In (760/344)/0.145
= 0.7926/0.145
= 5.4662 km
≈ 5.47 km
(b) p= 622 mmHg at the mountain top. Substituting into equation (2) we have:
h = In (760/622)/0.145
= 0.2003 / 0.145
= 1.3813 km
≈ 1.38 km
12 is 20% of 60 because 12/60 = 0.2.
What I would do for this problem, is move all the terms that don't contain m to the right side, and then solve.
m = 4/5.
It opens up
axis of symmetry is x=1
vertex is 1,0
x intercepts is -1,0,1,2,3,
y intercepts is 4, 1,0,1,4
3.14=7x-2y
move 7x to the other side
sign changes from +7x to -7x
3.14-7x=7x-7x-2y
3.14-7x=-2y
Divide both sides by -2
3.14/-2-7x/-2=-2y/-2
3.14/-2=-1.57
-7x/-2=7x/2
Answer:
y=-1.57+7x/2