Answer:
n2^3 bacteria, n being the initial population.
Step-by-step explanation:
compound growth equation: P=n2^t
P is total population
n is initial population
t is time
since it doubles every second hour, and there are 6 hours
6hours/2hours= doubles 3 times, thats why t=3.
Answer:
21.424
Step-by-step explanation:
22.1 - 0.676 = 21.424
im not sure if it is correct but i think its like this
8/21,13/21 because .16/42=x/100 and then cross multiply and simplify
Answer:
The answer is below
Step-by-step explanation:
a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.
the perimeter of a rectangle is given as:
Perimeter = 2(length + width) = 2(l + w)
Hence;
400 = 2(l + w)
200 = l + w
l = 200 - w
The area of a rectangle is given as:
Area = length × width
Area = (200 - w) × w
Area = 200w - w²
b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a
Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:
w = -b/2a = -200/2(-1) = -200/-2 = 100
A width of 100 yard has the largest area
c) l = 200 - w = 200 - 100 = 100 yards
Area = l × w = 100 × 100 = 10000 yd²
The maximum area is 10000 yd²
A square can be a rectangle but a rectangle can't be a square so seperate rectangles from triangles. since squares are special types of rectangles, they can go in the box of rectangles
