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:
Option b is correct
Step-by-step explanation:
In order to check the end behavior of a polynomial function we just check the leading term and its coefficient and the procedure is as follows:
Here we can see that highest exponent of the polynomial function is 4
therefore degree of the polynomial is 4. and therefore 
is leading term.
because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of leading is negative therefore it falls at both ends. that is falls to the left and falls to the right.
therefore option b is correct.
Answer:
(b) 0
Step-by-step explanation:
Assuming a typo in the last term:
5 (1728)^(1/3) + 100(81)^(1/4) - ( 6(10)^(1/2) )^2
=5(12) + 100(3) -36(10)
=60+300-360
=0
Answer:
hope this helps
Step-by-step explanation:
five more: 5 +
three times the number q: 3q
Now put it together
Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
