Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a 
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
= 
= 9
r² = 9 ⇒ r = 
= 3 → C
Let’s condense the original expression and see if that’s one of the answers
-1/2(-3/2 x + 6x + 1) - 3x
First we distribute the -1/2
((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x
3/4x - 3x - 1/2 -3x
Combine like terms
(3/4 x - 3x - 3x) -1/2
-21/4 x - 1/2
We could make this a mixed number
-5 1/4 x - 1/2
(Mixed number: 5 times 4 plus one gets the numerator)
So the answer is D
Answer:
Size 50
Step-by-step explanation:
You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.
Answer:
56
Step-by-step explanation:
V=lwh/3
im guessing its a square pyramid?
14(12)/3
=56
Answer: x < -1 or x ≥ 3
Step-by-step explanation:
First we will look at the left part. The circle is open (not "equal to), arrow is pointing to the left (showing "less than" in this case), and the value is on -1;
x < -1
Second, we will look at the right part. The circle is closed (showing "equal to"), the arrow is pointing to the right (showing "greater than" in this case). and the value is on 3;
x ≥ 3
Lastly, we will write the final compound inequality. In this case, we use the word "or" because the solution value is either less than -1 or greater than and equal to 3.
<em>Note: The word "and" is only used when the "arrows point towards each other" creating a segment, so to say. In this case, they "point away" so we use the word or.</em>
