9514 1404 393
Answer:
x = 30
Step-by-step explanation:
In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...
2sin(3x) = (-11 +15)/2
sin(3x) = 1 . . . . . . . . . . simplify and divide by 2
Then the value of 3x must be 90°, so ...
x = 90/3 = 30
There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.
Answer:
The 4th term of the linear sequence = 3
Step-by-step explanation:
First term, a = -9
Common difference, d = -5 - (-9)
= -5 + 9
= 4
d = 4
The 4th term of the linear sequence = a + (n - 1)d
where,
n = 4
a + (n - 1)d
= -9 + (4 - 1)4
= -9 + (3)4
= -9 + 12
= 3
The 4th term of the linear sequence = 3
1) 8^-24 = 1 / 8^24
2) 6^-1 = 1/6
3) 5^-8 = 1 / 5^8
4) -3^1 = -3
5) 4^-4 = 1 / 4^4
6) 5^9
7) 8^-3 = 1 / 8^3
8) 9^4
9) 7^1 = 7
10) 2^-4 = 1 / 2^4
Answer: spencer left after 14 days
Step-by-step explanation: