Answer:
The answer would the third option "Yes, because there is enough water in the cooler for about 81 cups total."
Step-by-step explanation:
The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
Answer:
D. Lines coincide
Step-by-step explanation:
On dividing y/2y and 4/8 and x/2x you get 1/2. Since 1/2 is common answer for all the parts, lines will coincide.
Since the diagram represents parallel lines cut by a transversal line, the angles formed by these lines follow a series of rules. One of them is that corresponding angles are equal. Corresponding angles can be identified because they are located in the same position on different "crosses" formed by lines. In this case, angle x and the angle labeled 83° are corresponding angles and are therefore equal. We then know that angle x is 83° so choice B is correct.
I hope this helps.
Answer:
The work done to pump all of the kerosene from the tank to an outlet is 
Step-by-step explanation:
The work is defined by:
(1)
The force here will be the product between the volume and the kerosene weighing, so we have :
This force will be in-lbs.
Where R is the radius (3 feet)
Then using (1), we have:
Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.
Therefore, the work done to pump all of the kerosene from the tank to an outlet is
I hope it helps you!
