Answer:
Let there were total x people at the conference
so 32%of x is 216
32/100×x=216
x=216×100/32
x=675
So total people present at the conference were 675
Answer:
1. y = f(8)
2. So for t which f'(t) > 0, the drug level in the bloodstream is increasing. And for t which f'(t) < 0, it is decreasing.
Step-by-step explanation:
The concentration of the drug in the bloodstream at t hours is:
y = f(t)
1. What is the concentration of the drug in the bloodstream at t= 8 hours?
At t hours, y = f(t)
So at 8 hours, y = f(8)
2. During what time interval is the drug level in the bloodstream increasing? Decreasing?
A function f(t) is increasing when
f'(t) > 0
And is decreasing when
f'(t) < 0
So for t which f'(t) > 0, the drug level in the bloodstream is increasing. And for t which f'(t) < 0, it is decreasing.
For this, we need to know the length of the base at the time of interest. It will be
... A = (1/2)bh
... b = (2A)/h = 2(81 cm²)/(10.5 cm) = 108/7 cm
Differentiate the formula for area and plug in the given numbers.
... A = (1/2)bh
... A' = (1/2)(b'h +bh')
... 3.5 cm²/min = (1/2)(b'·(10.5 cm) + (108/7 cm)·(2.5 cm/min))
... 7 cm²/min = 10.5b' cm + 38 4/7 cm²/min . . . . simplify a bit
... -31 3/7 cm²/min = 10.5b' cm . . . . . . . . . . . . . . . subtract 38 4/7 cm²/min
... (-220/7 cm²/min)/(10.5 cm) = b' ≈ -3.0068 cm/min
The base is changing at about -3 cm/min.
Answer:50-55
According to the trend
Step-by-step explanation: