Write tan in terms of sin and cos.
Recall that
Rewrite and expand the given limand as the product
Then using the known limit above, it follows that
Answer:
A and B are correct
Step-by-step explanation:
Student C is wrong because they broke up 3/4 into
2/2 + 1/2
but 2/2 + 1/2 = 3/2, which is not equal to 3/4
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.
Add together the time it takes to put on the four wheels and the hood.
2.054s +3.652s = 5.704s
multiple this answer by 42
5.706s times 42= 239.652s
answer number two is correct
Answer:
There are 1500 non fiction books and 500 fiction books currently in the store.
Step-by-step explanation:
Given:
Total Number of books = 2000
Let the number of fiction books be 'x'.
Now given:
There are 3 times as many non-fiction books as fiction books.
Number of non fiction books = 
We need to find the number of non-fiction and fiction books.
Solution:
Now we know that;
Total Number of books is equal to sum of the number of non-fiction and fiction books.
framing in equation form we get;
Dividing both side by 4 we get;
Number of fiction books = 500
Number of non fiction books = 
Hence There are 1500 non fiction books and 500 fiction books currently in the store.
