B) -15.6,-12.9,-10.2,-7.5,-4.8
This is an arithmetic sequence.
Answer:
n = 15
Step-by-step explanation:
6(1+n)=8n-3(n-7)
Distribute
6 +6n = 8n -3n +21
Combine like terms
6+6n = 5n +21
Subtract 5n from each side
6+6n-5n = 5n-5n +21
6 +n = 21
Subtract 6 from each side
6-6+n = 21-6
n = 15
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.
We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.
8×1/4 = 2 cm.
You can still find its volume by using the formula 1/3πr^2.
Answer:

Step-by-step explanation:
F(x) is a transformation from h(x).
So our starting equation is

F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.
There isn't a vertical or horizontal stretch, compressions.
There isn't a horizontal shift as the x values stay in the same place.
There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).
So our equation looks like.

Answer:
2520 patterns
Step-by-step explanation:
In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.
Therefore, for non identical arrangements:

= 2520
Therefore, the books can be arranged on a shelf in 2520 patterns