If you are in college, this question is likely done with calculus.
a = 12
k = 0.2
v(x) = 0 at the maximum after differentiation
V(x) = kx(a - x)
The easiest way to do this is to remove the brackets.
V(x) = akx - kx^2 Substitute the constants
V(x) = 12*0.2*x - 0.2x^2
V(x)/dx = 2.4 - 0.4x = 0 at the maximum
2.4 - 0.4x = 0
0.4x = 2.4
x = 2.4/0.4
x = 6
If you don't know any calculus yet, you can do this by completing the square.
Answer:
the answer is fairly simple just look at the table and analyze the data.
Step-by-step explanation:
question 1 asks for the "reference point", id say the reference point is at 3 seconds when the dog begins moving.
question 2 is asking if the dog was in motion for the first 3 seconds, the answer is "no" because if you take a look at the table the distance is the same for the first 3 seconds.
question 3 is asking when the dog was in motion the correct answer is at 4 seconds when the dog moves from 10 meters to 20 meters, and that'll be your evidence. hope this helps!!
Answer:
B) 0, 4, 8, 12
Step-by-step explanation:
If you buy no pumpkins is costs $0. If you buy one pumpkin it costs $4. If you buy two pumpkins it costs $8. If you buy three pumpkins it costs $12.
Answer:like fractions
Step-by-step explanation:
To solve both questions, we need to use the following two properties of the logarithm function.
In our case,
The answer to part 1) is log(24).
On the other hand,
The answer to part 2) is log(1296)