Answer:
= - 4
Step-by-step explanation:
Note the common ratio r between consecutive terms in the sequence, that is
- 16 ÷ - 4 = - 64 ÷ - 16 = - 256 ÷ - 64 = 4
This indicates the sequence is geometric with n th term ( explicit formula )
= a
where a is the first term and r the common ratio
Here a = - 4 and r = 4, thus
= - 4 ← explicit formula
Answer:
B = 70
Step-by-step explanation:
Supplementary angles add to 180
5x+25 + 3x+19 = 180
Combine like terms
8x+ 44 =180
Subtract 44 from each side
8x+44-44 =180-44
8x= 136
Divide by 8
8x/8 = 136/8
x = 17
We want to find B
B = 3x+19 = 3(17)+19 = 51+19 = 70
Answer:
inches
Step-by-step explanation:
Let x inches be the length of one side of the frame. The frame is the square, so all sides have the same lengths.
Use formula connecting the area of the square and the side length of the square.
Since the area ofthe square is 55 square inches, we have
Answer:
n¹³
Step-by-step explanation:
Division and multiplication have the same priority in pemdas, so you can solve this by dividing/multiplying from left to right.
Also remember that when dividing exponents of the same base, you subtract them, and when multiplying, you add them.
n⁶· n⁵ · n⁴ ÷ n³ · n² ÷ n
= (n⁶· n⁵) · n⁴ ÷ n³ · n² ÷ n
= (n¹¹ · n⁴) ÷ n³ · n² ÷ n
= (n¹⁵ ÷ n³) · n² ÷ n
= (n¹² · n²) ÷ n
= n¹⁴ ÷ n
= n¹³
Ultimately you just have to calculate
6 + 5 + 4 - 3 + 2 - 1 = 13