Answer:
The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.
explanation:
I'm bad with explaining things, but I'll try my best to explain why this is the right answer.
12 + 6n ≥ 30, so n ≤ 3
let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).
Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.
Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.
I hope this helps, and sorry if my explanation is hard to understand lol.
Answer: 
This is the same as writing 7*Ln( e^(2x) + 10) + C
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Explanation:
Start with the equation 
Apply the derivative and multiply both sides by 7 like so
The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)
This way we can do the following substitutions:
Integrating leads to
Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.
To verify the answer, you can apply the derivative to it and you should get back to the original integrand of 
Answer:
-37/100
Step-by-step explanation:
Here, we want to write -0.37 as a quotient of integers
What we are saying is that we want to write it as a fraction of two numbers
That would be;
-0.37 = -37/100
