It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
1 times 108
I Hope this helps.
Answer:
(11, 0)
Step-by-step explanation:
to find the y intercept, set y to 0.
60x + 55y = 660
60x + 55 * 0 = 660
60x = 660
60x/60 = 660/60
x = 11
y intercept is (11, 0)
Given:
The function is:
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
.... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
...(ii)
On comparing (i) and (ii), we get
, it means the graph is vertically stretched by a factor of 2.
, it means the graph is shifted up 3 units.
Therefore, the correct option is D.
Answer:
<h2>Pass = $17.22</h2><h2>Lunch = $8.94</h2>
Step-by-step explanation:
People = 34 + 4 = 38
Pass price per person = 654.36 / 38 = $17.22
Lunch price per student = 303.96 / 34 =$8.94
Pass = $17.22
Lunch = $8.94
