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) ,
measure of angle CED is 80
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 200% of 112
112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224
now we have:
200% of 112=224
●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
If you would like to solve (n^3 - n^4) - (3n^3 - 7n^4), you can do this using the following steps:
(n^3 - n^4) - (3n^3 - 7n^4) = <span>n^3 - n^4 - 3n^3 + 7n^4 = n^3 - 3n^3 - n^4 + 7n^4 = -2n^3 + 6n^4
</span>
The correct result would be <span>-2n^3 + 6n^4.</span>
<span>When flipping two standard American quarters, there are four independent possible outcomes:
-Tails, tails
-Heads, heads
-Heads, tails
-Tails, heads
Looking, then, at these four outcomes, there are three of those that include at least one head. As such, the answer to this question is three possibly different ways for her to achieve the desired outcome.</span>
