Answer:
This sum is the sum of an arithmetic sequence. There is a formula for the sum of an arithmetic sequence which can be looked up or derived by a variety of means.
A nice approach for this sequence is the following. Notice that the sum of first and last number in the sequence is the same as the sum of the second and second last, and also the same as the sum of the third and third last, and so on.
There are n of these pairs. So the desired sum is n x (first number + last number). But the first number is 1 and the last on is 2n. Thus the desired sum is n(1 + 2n).
Hope this helps!!
Mark Brainleast!!!!!!!!!!!
<h3>
Answer: 4/13</h3>
Explanation:
There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.
There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13
Answer:
28.108 K.
Step-by-step explanation:
Given: Pressure (P)= 1.2atm
Number of moles (n)= 2.6 moles
Volume (V)= 5.00-L
Now finding the temperature (T).
Formula; T= 
R is a constant factor which makes other factors work together.
There is a numerical value for R which we use is 
∴ Temperature (T)= 
⇒ Temperature (T)= 
∴ Temperature is 28.108 K
Answer:

Step-by-step explanation:
we know that
In the right triangle of the figure XYZ
Applying the Pythagorean Theorem

substitute the given values



square root both sides

Answer:
= -√6
Step-by-step explanation:
1) collect like terms by subtracting coefficients:
3√6 - 4√6
(3-4)√6
2) calculate (3-4):
(3-4)√6
-1√6
3) the coefficient of -1 does not have to be written, but the negative sign remains:
-1√6
-√6
so therefore:
-√6 is your answer