<span>We have the sequence that follows the pattern: a n = - 4 n + 13. If we want to calcelate the 14th term in this sequence ( or a 14 ), we have to substitute in this formula: n = 14. Then we will get: a 14 = - 4 * 14 + 13 a 14 = - 56 + 13, and finally: a 14 = - 43. Answer: The 14th term in the sequence is - 43.</span>
Answer:
x=10/3
Step-by-step explanation:
Vertical angles are congruent and therefore are equal. Just set up an equation where the two angle values are equal to one another and solve with basic algebra.
It would be written as:
5.65 *10^-4
Remember, when writing scientific notation for a decimal, the power of 10 is always negative. In this case, since we're basically moving the decimal point for places to the right, the power of 10 is -4
Hope this helped! :)
Answer:
16,460 gallons
Step-by-step explanation:
This is a differential equation problem, we have a constant flow of contaminant into the lake, but also we know that only a fraction of that quantity of contaminant remains because of the enzymes. For that reason, the differential equation of contaminant's flow into the lake would be:
Then, we have to integrate in order to find the equation for Q(t), as the quantity of contaminant in the lake, in function of time.
Now, we use the given conditions to replace them in the equation, in order to solve for 
Then, we reorganize the equation and we replace t for 17 hours, in order to determine the quantity of contaminant at that time:
in | out
100 | 51
4 | 3
6 | 4
30 | 16
60 | 31
rule: y = x/2+1
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