Answer:
6 Total lemons
Step-by-step explanation:
1 1/2 lemons per 1 liter of lemonade
1 1/2 times 4
= 6 total lemons
ANSWER
On photo
EXPLANATION
Use the quadratic formula since the equation doesn't factorize not simplify by 3
5 liters = 5000ml
If they combine, they would have
5000 + 750 = 5750ml
one serving = 180ml
Number of serving = 5750 ÷ 180 = 31 serving with 170ml remaining
500 seconds is greater. Since there are 60 seconds in one minute you would multiply 60 and 8.
60x8= 480
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.