Answer C. The pattern is that each number in sequence 1 is being doubled to get the number in sequence 2, and 40*2=80
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.
Answer:
Step-by-step explanation:
This what you can do unless you are solving for either variable.
I am joyous to assist you anytime.
Answer:
x ≥ 9 and x < 5
Step-by-step explanation:
See the line graph of a compound inequality shown in the attached photo.
Inequality has two parts. The right-hand part is shown by an arrow that is more than 9 and including 9.
So, the equation of inequality for this part is x ≥ 9.
Again, the left-hand part of the inequality graph shows another arrow which is less than 5 but not including 5.
So, the equation of inequality for this part is x < 5
Therefore, compound inequality is x ≥ 9 and x < 5 (Answer)
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
