If you use the Fundamental Counting Principle, you can figure out the answer.
4*3*9=108
There are 108 unique combinations
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:
Exactly 50% of the votes were in favor of a new speed limit.
Step-by-step explanation:
We are given that 16 votes were in favor of a new speed limit and 16 votes were not. From this, we can determine the total amount of votes.
![16 + 16 = 32 \ \text{total votes}](https://tex.z-dn.net/?f=16%20%2B%2016%20%3D%2032%20%5C%20%5Ctext%7Btotal%20votes%7D)
Then, using this information we can find the percentage of how many were in favor of the vote.
If 16 of the votes were in favor, we can divide these votes by the total votes to get a percentage.
![\displaystyle \frac{16}{32}=\frac{8}{16}=\frac{4}{8}=\frac{2}{4}=\frac{1}{2}=0.5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B16%7D%7B32%7D%3D%5Cfrac%7B8%7D%7B16%7D%3D%5Cfrac%7B4%7D%7B8%7D%3D%5Cfrac%7B2%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B2%7D%3D0.5)
Then, we multiply this decimal by 100 in order to convert our answer to a percentage form.
![\displaystyle 0.5 \times 100 = 50\%](https://tex.z-dn.net/?f=%5Cdisplaystyle%200.5%20%5Ctimes%20100%20%3D%2050%5C%25)
Therefore, 50%, or half of the voters, were in favor of a new speed limit.
The equation for a sequence is
an=a1+(n-1)d
Replace the variable with what you were given you get
37=-13+(n-1)5
Simplify
37=-13+5n-5
Combine like terms
37=5n-18
Reverse operations
55=5n
Simplify
n=11
Answer:
V = (18 in²)x, where x is the unknown third dimension
Step-by-step explanation:
What was the third dimension? I'll call it x and you can assign a value to x:
Volume of box = V = (length)(width)(height)
Here, we have V = (6 in)(3 in)( x ), so the formula for the volume is
V = (18 in²)x