Answer:
5/12
Step-by-step explanation:
You have to make it a common denomator and then subract until equeal.
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 
Distance=speed times time
distance=30mi
speed=15mph
t=t
so
30=15 times t
divide both sides by 15
2=t
2 hours
Answer:
Step-by-step explanation:
P(green) is asking what are the chances that if your stuck your hand into the bag and grabbed a marble that it would be green. There are 3 green, 2 blue, 1 red, and 1 white marble for a total of 7 marbles. If you pull out a marble without looking you have 3 chances of 7 that it will be green. So
10. 3/7 or 3:7
Do we even have any yellow marbles? Not that I can see, so if there isn't a yellow to pull out, your chances of pulling one out is 0. So
11. 0/7 or 0
Since there are 3 green and 1 red, which is a total of 4 marbles, we have 4 out of 7 chances that the marble we pull is red or green. So
12. 4/7 or 4:7
Floyd's contract consists of
(i) $200 per month fixed.
(i) $12 per album sold.
Let x = number of albums sold last month.
Because total earnings is $644, therefore
200 + 12x = 644
To find x, do the following:
Subtract 200 from each side.
12x = 644 - 200 = 444
Divide each side by 12.
x = 444/12 = 37
Answer:
The equation is 12x + 200 = 644.
The solution for x (number of albums sold) is 37.
