I think the 4th one but Im not too sure please forgive me if I'm wrong.
Answer:
11. 600
12. 1,200
13. 600
14. 800
15. 1,100
Step-by-step explanation:
look at the number in the 'tens' column. if the number is between 1-4, you round down, if the number is between 5-9, you round up.
Answer:
1/a²⁷
Step-by-step explanation:
Given: 
We know that when the bases are same the powers can be added. i.,e.,
(xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾
⇒ 
Also, 
This is nothing but,
.
Note that
cannot be zero here. The condition is provided in the question as well.
Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

Now, if you multiply the first equation by 2, the system becomes

Subtract the second equation from the first:

Plug this value into the first equation to get

Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that
and
.
Thus:


Let's do the first part first: (Recall how to divide fractions)

For the second term:

So, all together: (same denominator; combine terms)

Note the numerator; it can be derived from the Pythagorean Identity:

Thus, we can substitute the numerator:

Everything simplifies to 1.