The absolute value of a number can never be negative. That's because it represents the distance of a number from zero on a number line. The number
is
digits to the left of zero on a number line. So, the absolute value of
would be
.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
Answer:
None
Step-by-step explanation:
This doesn't really make sense, If the item is 629$ and Keith only gives 50$ Keith is the one who should pay.
Convert mixed number to improper fraction:
I believe it’s 12.5 miles
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.
