Bina kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have l
2 answers:
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Keep in mind that you can gather only like terms. Two terms can be summed/subtracted if they involve the same powers of the same variables.
So, going point by point:
- We can subtract the terms, because they both involve the variable
, and we have
- We can sum the terms, because they all involve the variable
, and we have
- We can't sum this terms: 3 is a pure number, while 3r involves the variable r.
- We can only sum the two terms: we have
- We can't sum this terms: -20 is a pure number, while -15p involves the variable p.
- We can sum the terms, because they all involve the variable
, and we have
Answer:
Step-by-step explanation:
This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!
The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.
If:
, then the velocity function, the first derivative is:
v(t) = -32t + 112 and solve for t:
-112 = -32t so
t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.
Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:
and
s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.