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
Answer:
$284.60
Step-by-step explanation:
7.3% of $265.24 = 19.36252,
So the tax is $19.36.
19.36 + 265.24 = 284.60
So the total grocery bill is $284.60.
X² + 11x - 26 = 0
x² - 25 = 0
(x + 13)(x - 2) = 0
(x + 5)(x - 5) = 0
x = -13
x = 2
x = -5
x = 5
By 10s, 100s, 5s, 15s, 20s, 30s,
6,12,24,48,96... when we multiply by 2
-6,12,-24,48,-96.... when we multiply by -2
a) q can be 24 or -24
b)p/r=6/96 =-6/-96= 2/32=1/16
c) a(n)=6*2^(n-1)
386=6*2^(n-1), 386/6=2^(n-1), 64,333(3)=2^(n-1),
we will not be able to find whole number n for number 386, so 386 is not a term in this sequence, because it does not follow the rule of this sequence