Answer:
6 to the power of 2.
Step-by-step explanation:
Recall that whenever you divide exponents with the same base, you subtract the powers, but the base will still be the same. Therefore, 6 to the power of 12 divided by 6 to the power of 10 is 6 to the power of 2. Subtract the powers (exponents) or 12 minus 10, and you get 2. Since the base doesn't change, it is still 6. The solution to this expression is 6 to the power of 2. Hope this helps!
to find the hypotenuse (or the ramp in question 4) you can use the equation

with a and b being the 3 feet and 9 feet and c being the unknown (ramp).
So if you plug 3 and 9 into the equation, it looks like this.

then square them.

simplify.

take the square root of both sides.

is approx. 9.5 so the answer would be H.
216/343
1/2 = square root
= 6/7 then cube = the answer
Answer:
<u>Checkmark:</u>
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.
r = -3

= -2
Substitute the values in the equation:

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)
The recursive formula would be:

Checkmark:
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 