Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is
.
Note that the fourth term is 54.
i.e., 
.
Similarly,
.
Also,
.
Hence, OPTION B is the answer.
Answer:
where was the first water filter made
Step-by-step explanation:
Answer:
9x+7y+13
Step-by-step explanation:
5x+4x=9x
3y+3y+y=7y
5+8=13
Answer: Yes. The area is 1089 square feet.
Step-by-step explanation:
For a square, all the sides are equal: L = W
Hence, the perimeter of a square = 4 × L
Perimeter = 4L
132 = 4L
132 ÷ 4 = L
33 = L = W
Area of a square with 33 feet sides = L × L = 33 × 33 = 1089
1089 > 1000
Answer:
simplified: 
unsimplified: 
Step-by-step explanation:
Since the fractions have the same denominator, all we have to do is subtract the numbers in the numerator:
15 - 3 = 12
The difference of the two fractions is
. To simplify this answer, divide both the numerator and the denominator by 4:
12/4 = 3
20/4 = 5
The difference in simplified form is
.
I hope this helps. :)