Answer:
AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.
<span>7n + 4 - 5n <= 2(n+2)
Let's simplify these expression first
2n + 4 <= 2(n + 2)
2(n +4) = 2n + 4
The LHS and RHS expressions are the same but the inequality says contrary
Hence 2n + 4 is not less than but equal to 2(n + 2).
7+ 6a >= -4(2-a) - 2a
-4(2-a) - 2a = -8 + 4a - 2a = -8 + 2a. It should be obvious that 7 +6a is greater than the RHS expression.
Suppose a= 2 then we have 7 + 6(2) = 19 while -8 + 2(2) = - 8 + 4 = -4 So it follows that 7 + 6a >= -4(2-4) -2a
4x >= 8. The expression is always true so the equal to option is out.</span>
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:
Instead of distributing 2, we can actually divide both sides by 2:
x - 1 = 2x - 11
Isolate x:
x = 10
Answer:
Now thats you've had time to think about it.
- They rotate and then move down!
- C
