Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ 
=
t=2. That means after 2 sec. the arrow reach the maximum height
Answer: 4 years
Step-by-step explanation:
A(0) has to be amount at start. Assume that's 5mg
Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),
(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).
We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.
Answer:
Step-by-step explanation:
Expand:
Add 27 to both sides:
Add 12x to both sides:
Divide both sides by 4:
Find two "dots" where the line crosses the X and Y axis at real numbers.
(0,3) and (6,-1)
Now find the slope which is the difference in Y over the difference in x.
Slope = (-1 - 3) / (6-0) = -4 / 6 = -2/3
The answer is D.
Step-by-step explanation:
The graph is shown in the image above.
