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
Answer:
See explanation
Step-by-step explanation:
You forgot to give the coordinates of C.
Note that, the mapping for 90° clockwise rotation around the origin is given by:
Assuming the coordinates of C were (-6,6), then the coordinates of C after a 90° clockwise rotation
around the origin is (-6,-6)
Step-by-step explanation:
If Q is the midpoint of PR
Then PQ + QR = PR
(6x + 25) + (16 - 3x)
group the same terms and add them
(6x - 3x) + (25 + 16)
Hence PR = (3x + 41)
But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;
; 6x + 25 = 16 - 3x
; 6x + 3x = 16 - 25...;9x = -9
Hence the value of...x = -1
Then substitute the value of x into the equation of PR....3x + 41
;3(-1) + 41
;-3 + 41
Hence PR = 38
Answer:
the irrational numbers are all the real numbers which are not rational numbers.
Step-by-step explanation:
Answer:
h = 5t
Step-by-step explanation:
So basically, its a slope problem again. You are trying to find the equation that equals hits. So you can cross off t = 5h and t = h + 5. So now, you need to find the most reasonable answer by calculating the slope.
If you try h = t + 5,
Put in 3 - you get 8
Put in 7 - you get 12
But on the table you get 15, 36 respectively.
If you try h = 5t,
Put in 3 - you get 15
Put in 7 - you get 35
Which is much closer to the numbers in the table, therefore it is the answer.