Answer: The sequence is geometric
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.
Common difference = given term - the term before it
In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.
Common ratio = given term/the term before it
Looking at the given sequence,
1) d = 6 - - 2 is not equal to - 18 - 6
Therefore, it is not an arithmetic sequence
2) r = 6/- 2 = - 18/6 = - 3
Therefore, it is a geometric sequence.
Using the shortcut for binomial expansion, which still took 45 minutes, I got 23-26. The coefficient on the x^6 term is 34,020; the coefficient on the x^4 term is -495; on the x^7 term it's 1800; on the x^3 term it's 337,920. I'm pooped. The rest is factorial notation, kinda the same thing, but...
Answer:
6
Step-by-step explanation:
=>root(2) x root(3) x root(6)
=>root(2x3) x root(6)
=>root(6) x root(6)
=>6
Answer:
4 feets = 48 inches
2 miles = 10,560 feets
1 2/3 yards = 5 feets
3 1/2 yards = 126 inches
Step-by-step explanation:
Recall :
1 Feet = 12 inches
1 MILE = 5280 feets
1 yard = 36 inches
1 yard = 3 feets
If 1 feet = 12 inches
4 feets will be ; (12 * 4) inches = 48 inches
If 1 mile = 5280 feets
2 miles will be ; (5280 * 2) = 10,560 feets
If 1 yard = 3 feets
1 2/3 yards will be ; (5 /3) * 3 = 5 feets
If 1 yard = 36 inches
3 1/2 yards will be ; (7 /2 ) * 36 = 126 inches
The answer is D.
We know that a rectangle has two widths that are equal and two lengths that are equal. One width is 22, so the other one is also 22.
If you wanted to find the lengths, you would add both widths together (same as multiplying a width by two) and add that to the two lengths equaled to the perimeter.
So, 22 * 2 + 2x = perimeter of rectangle. We added all four sides together.
We know that the perimeter is at least 165, so 22 * 2 + 2x = 165. Here's the twist. They want the most minimum possible length. So, what answer choice gives you 165 or less for the most minimum or smallest length while still getting to 165?
That is D.
22 * 2 + 2x < = 165.
Hope this helped!
