Answer
14 degrees
Step-by-step explanation:
<u>Understanding:</u>
The sum of a geometric series is, 
, with a being the start point and r is the common ratio. We can also use the following formula to make life easier 
, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
<u>Solution:</u>
Our start point is 1, 
,
The common ratio is 5, 
,
And finally, the number of terms is 7, 
.
The answer is [A] 19531.
Answer:
(D) There are probably more blue marbles than red marbles in the bag.
Step-by-step explanation:
There are a total of 100 marbles in the bag.
In the experiment of 50 trials, Sam had the following outcome:
Blue=35
Red=15
Relative Frequency of Blue Marbles =35/50=0.7
Relative Frequency of Red Marbles =15/50=0.3
Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, <u>there are probably more blue marbles than red marbles in the bag.</u>
The correct option is D.
tan(3θ + 17) = cot(θ + 7)
(3θ + 17) + (θ + 7) = 90
(3θ + θ) + (17 + 7) = 90
4θ + 24 = 90
- 24 - 24
4θ = 66
4 4
θ = 16.5
