Answer:
Step-by-step explanation:
Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for 
(even terms) , while the odd terms 
are negative. (so most likely there should be a factor (-1) in the common ratio.
We can then represent it with the following summation expression:
given that each of its first four terms are:
Answer:
We conclude that the equivalent expression is:
Step-by-step explanation:
Given the expression
Remove parentheses: (a) = a
Multiply the numbers: 3 × 2 = 6
Multiply the numbers: 4 × 5 = 20
Multiply the numbers: 4 × 2 = 8
Thus, we conclude that the equivalent expression is:
Answer:
216 + 9i
Step-by-step explanation:
Given: f(x) = 3x² + 3
+ 3x
When x = -9, f(x) equals to;
3(-9)² + 3(-9
+ 3(-9)
243 + 3(3i) - 27
243 + 9i - 27
216 + 9i
Answer:
2
Step-by-step explanation:
38 total students
5 like neither one, so 38 - 5 = 33
22 plus 13 is 35, but only 33 students like one of them, so 35 - 33 = 2 extra votes, which means 2 like both.
Step-by-step explanation:
Multiply the amount of feet in one mile by the amount of miles in the question(5,280 x 50 = 264,000)
Divide the amount of feet in 50 miles by the amount of minutes in 1 hour to get the amount of feet per mile (264,000 ÷ 60 = 4,400)
Divide the amount of feet per mile to get by the amount of seconds in a minute to get the amount of feet per second (4,400 ÷ 60 = 73.33)
Your answer rounded to the nearest whole number is 73
