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:
They bought 5 trophies total
1st trophy cost $37.50
($18.50+$12.50+$4+$2.50=$37.50)
Each additional trophy cost $15
($12.50+$2.50=$15)
They spent $97.50 total
$97.50-$37.50=$60
Additional trophies $15
$15*X=$60
4 trophies=$60+$37.50 for 1st trophy
$60+$37.50=$97.50
- The area of the club stickers is 112 square inches.
- We know this because...
1. The calculations of a triangle is... 1/2 x b(h)
2. So first, lets calculate the b(h) first, which is 16 x 14 = 224 square inches.
- This isn't the correct answer because it is the area of a rectangle.
3. Second, lets calculate 1/2 x 224 = 112 square inches.
- We did this calculation because we are talking about a triangle.
- So, the total square inches of the club sticker is 112 square inches.
Hope this helps! :)
Answer:
a rule to know: a median divides the side into equal parts.
we know:
PR = -2a + 34
SR = 2a + 26
- based on the rule, SR is half of PR. in other words, PR is two times greater than SR.
so,
2SR = PR (now simply pluggin the expressions we have)
2(2a + 26) = -2a + 34 (solve the equation like any other equation prob.)
4a + 52 = -2a + 34
6a + 52 = 34
6a = -18
a = -3
- inorder to check if this is correct, simply reverse what we did. so pluggin the value of a to see if its correct.
2x2 + 7x + 3 -answer
(2x + 1) (x + 3)
(2x * x) + (2x * 3) + (1 * x) + (1 * 3)
2x2 + 6x + x+3
2x2 + 7x + 3
