Answer:

Step-by-step explanation:
If the radius of the algae was approximately 13.29 mm, substitute f(d)=13.29 and solve for d to determine the domain:

B. The y-intercept is obtained when d=0, hence;

Therefore, the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.
C. Now, to determine the rate of change of a function, use the following equation:

Then, determine the value of f(4):

Hence, the rate of change on that interval of the function:

This means that on average the algae grows 0.64mm per day.
Arrange from smallest to largest
-25, -12/4, 1/5, 18/5, 10
chose the middle number
1/5
Answer: The answer is 5.472
Step-by-step explanation:
-0.84 ÷ 2.1 = -0.4
-0.4 + 5.872 = <em>5.472</em>
Answer:
80 mm
Step-by-step explanation:
the same amount (and that means the same volume) of pepper is in each shaker.
the volume of a cylinder is
base area × height = pi×r² × height
with r being the radius (which is always half of the diameter).
the volume of the filled in pepper in the first shaker is then
pi×(32/2)²×45 = pi×16²×45 = pi×256×45 = 11,520pi mm³ =
= 36,191.14737... mm³
now let's see what height in the second shaker we will reach by filling the same 11,520pi mm³ of pepper into it.
so, we have
pi×(24/2)²×height = 11,520pi
12²×height = 11,520
144×height = 11,520
height = 11,520/144 = 80 mm
so, the shaker on the right is filled up to 80 mm with pepper.