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.
Let C be the total charge and t be the rental time in hours.
C = ht + 43
Plugging the given values into the equation, we get:
64 = 7h + 43
7h = 21
h = 3
The hourly fee is $3.00 per hour.
Say 36% of 100 is 36. so knowing half of 36 is 18, take half of 100, 50.
so 18/50 = 36
The answer is 50.
Answer:
20
Step-by-step explanation:
20 is divisible by 4, 5 and 10
ANSWER: 60 female lions
In the ratio there are 21 male lions and 20 female lions, in total 41 lions. Create a proportion relating the total number of lions in the ratio (41) and in the problem (123), and the number of female lions in the ratio (20) and in the problem (unknown).
20/41 = x/123
Cross multiply and solve
20(123)=41x
2460=41x
60=x
