Answer:
3) 
, 
Step-by-step explanation:
Given that the explicit rule for a sequence is 
.
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1) 
,
2) 
, 
3) ,
4) 
,
Plug n=1 into given formula to get first term
base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3) ,
Answer:
112in²
Step-by-step explanation:
Formulas: V = 
, V = lwh
Sub: v = 
Solve: 32
Sub: v = 4 x 4 x 5
Solve: 80
V = 80 + 32
V = 112
<u>The total volume of the figure is 112in²</u>
The inequalities that can be used to represent this problem are x < 0 or x > 5. On the number line, you will want to place an open circle on both 0 and 5. The open circle signifies that x is not equal to these values, but is greater or less than. On the open circle on 0, draw an arrow pointing left, toward the negative values. On the open circle on 5, draw an arrow pointing right, toward the positive values.
Hope this helps!! :)
94.2 in would be your answer
Find the change
the change is 63-21=42
42 degrees in 12 hours
we want to find xdegrees/1hour
42/12=3.5 degrees per hour
