Which expression represents 12 times a number, n, minus 6? A. 12n – 6 B. 12 – 6n C. 12 + n – 6 D. 12n – 6n
2 answers:
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Answer:
A
B
C
A year has (4 × 12) weeks
= 48 weeks.
In 1 week = 9,568,000 movies
48 weeks = (48 × 9,568,000) movies
Average movies = 459.264 movies
D
<em>Since</em><em> </em><em>9</em><em>.</em><em>5</em><em>6</em><em>8</em><em> </em><em>million</em><em> </em><em>movies</em><em> </em><em>are</em><em> </em><em>rented</em><em>.</em>
<em>How</em><em> </em><em>about</em><em> </em><em>in</em><em> </em><em>one</em><em> </em><em>year</em><em> </em><em>(</em><em> </em><em>4</em><em>8</em><em> </em><em>weeks</em><em> </em><em>)</em>
<em>Convert</em><em> </em><em>1</em><em> </em><em>year</em><em> </em><em>to</em><em> </em><em>weeks</em><em> </em><em>and</em><em> </em><em>compare</em><em> </em><em>with</em><em> </em><em>1</em><em> </em><em>week</em>
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:
Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:
Substitute and simplify:
We can rewrite the second equation as:
Substitute:
Hence:
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:
In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.