Answer:
Kinetic theory explains why the volume of a container must expand when the temperature of the gas inside increases in order for the pressure to remain constant.
Step-by-step explanation:
Charles' law: for a fixed mass of gas at constant pressure the volume is directly proportional to the temperature.
Analysis of a gas when its temperature increases according to kinetic theory:
The temperature has increased therefore the molecules have more kinetic energy, so they move with a greater velocity.¹
If the container's dimensions do not change the molecules will travel across the container between the walls in less time (because they are moving faster and covering the same distance between the container walls). This will increase the rate of collisions, which would increase the pressure.²
But if the dimensions of the container increased then the molecules would cover a larger distance faster thereby maintaining a constant rate of collisions. This would maintain a constant pressure.
Answer:
$12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
12 + 0.60 = 12.60
Answer:
See below.
Step-by-step explanation:
Let the side have a length x units .
The triangle formed by an altitude is a 30-69-90 triangle so the sides are in the ratio 2:1:√3 where √3 is the altitude. Therefore if the side of the triangle = x then altitude = √3 * x / 2 = √3x/2.
So we need to prove that 3x^2 = 4 (√3x/2)^2.
Simplifying:-
4 (√3x/2)^2 = 4 *( 3x^2/ 4) = 3x^2. This completes the proof,
In order to add or subtract fractions, they must have the
same denominator. You need to change both of these
fractions to have the same denominator ... without changing
their values, of course.
The smallest common denominator for these fractions is 20 .
3/4 is the same amount as 15/20 .
3/5 is the same amount as 12/20 .
Now that they have the same denominator, you can do
the subtraction.
Answer:
f is a quadratic function whose value changes depending on the value of x.
g is a constant function, that is, no matter the value of x, g always has the same value.
Step-by-step explanation:
f(x)
This is a quadratic function, that is, a parabola. For example
g(x)
This is a constant function, that is, no matter the value of x, we have that g(x) = 0.04. So