Answer:
Step-by-step explanation:
The given formula doesn't appear to match any of the answer choices.
W = (P/2) - L
A.) P(t) = P0e^(kt)
P(20/60) = 40 e^(20k/60)
80 = 40 e^(k/3)
e^(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = e^(8k) = e^(8(3ln(2))) = e^(24ln(2)) = e^(16.6355) = 16777216 cells/hour
e.) P(t) = 40(2)^(3t); t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours
Angles that are opposite to each other when two lines cross are equal, therefore angle 1 is equal to angle 4. This also implies that angle 1 = angle 5. When a line crosses two parallel lines, the angles corresponding to each other are equal. So, if r and s are parallel, the angles that are formed when line l intersects line r are equal to those when l intersects line s. Thus, we have angle 1 = angle 5, angle 2 = angle 6, and so on. Hence, since angle 1 is equal to angle 5, we deduce that lines r and s are parallel.
Answer:
91
Step-by-step explanation:
40/.44
Answer:
960 individuals
Detailed explanation:
Given that each side of the basketball arena measures 20 ft by 30 ft, the area for one side would be calculated as 20ft * 30ft = 600ft².
As the arena’s four sides are all filled with people, the cumulative area will be 4*600 = 2400ft²
Each person occupies an area of 2.5ft², therefore, the total number of individuals present in the arena can be determined by dividing the total area encompassed by the four sides by the area each person occupies.
Total number of individuals in the arena = area of all four sides divided by area occupied by each person.
Total number of individuals in the arena = 2400/2.5
Thus, the result is 960 people.
