the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of
1 answer:
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Answer:
See explanation
Step-by-step explanation:
1 step:
n=1, then
So, for j=1 this statement is true
2 step:
Assume that for n=k the following statement is true
3 step:
Check for n=k+1 whether the statement
is true.
Start with the left side:
According to the 2nd step,
Substitute it into the
So, you have proved the initial statement
Answers and Step-by-step explanations:
1. We need to plug in values of x into the functions f(x) and g(x):
f(2) = 2.5 * 2 - 10.5 = -5.5 g(2) = = 16
f(3) = 2.5 * 3 - 10.5 = -3 g(3) = = 8
f(4) = 2.5 * 4 - 10.5 = -0.5 g(4) = = 4
f(5) = 2.5 * 5 - 10.5 = 2 g(5) = = 2
f(6) = 2.5 * 6 - 10.5 = 4.5 g(6) = = 1
2.
(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.
(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.
3.
(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).
(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.
(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.