18 slices that are half’s
1/2*18= 9
meaning there are 9 whole slices
No, Marina does not have more since Samuel has the whole pie.
Answer:
because the length is 4 feet more than the width
=> the length is x + 4 (feet)
because the base has an area of 21 square feet
=> x(x + 4) = 21
<=> x² + 4x = 21
The difference between set of whole numbers and a set of integers is that:
Whole numbers = {0, 1, 2, 3, 4, 5...}
Integers = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...}
If we name contents of the first set as n, in the second set you can have 2n-1 numbers (because we count 0 only once in both sets).
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.
