Answer:
<em>Answer: D</em>
Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the arithmetic sequence:
10, 12, 14, 16, ...
Where a1=10 and
r = 12 - 10 = 2
Thus the general term is:

Operating:


Answer: D
Answer:
65.57 should be the correct answer!
Step-by-step explanation:
Here is the whole work I did, hope this helps!
100 - 17 = 83
79 x 0.83 = 65.57
Answer:
B. MN, NO, OM
Step-by-step explanation:
Recall: In any triangle, the sides and the angles are related in the following way:
*The largest angle and the longest side are opposite each other
*The medium angle and the mid-sized side are opposite each other
*The smallest angle and the shortest side are opposite each other
In ∆MNO, we are given that
m<M = 57° which is opposite to side NO
m<N = 75° which is opposite to side OM
m<O = 180° - (75° + 57°) (sum of triangle)
m<O = 48° which is opposite to side MN
Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:
MN, NO, OM
The general and correct rule in order of operations is PEMDAS which is parentheses, exponents, multiplication, division, addition then subtraction.
Given the expression <span>2 + (3 + 5)2 ÷ 4 ⋅(1/2)^4
P : </span><span>2 + (8)2 ÷ 4 ⋅(1/2)^4
E : </span><span>2 + (8)2 ÷ 4 ⋅ 0.0625
M: </span><span>2 + 16 ÷ 0.25
D: 2 + 64
A: 66
S: -
The final answer is then 66.</span>