Answer: 5.872
Step-by-step explanation:
Two thirds of twelve is eight and three sevenths of five is around 2.14 so subtract 2.14 from eight and you get the answer above
Answer:
Formula for circumference;
C = 2πr
replace those values
C = 2 x 3.14 x 9
C = 56.52 inches, C
Answer:
Your answer is 105km travelled in 7 hours.
Step-by-step explanation:
Divide 150km by 10 to find the amount of km travelled in 1 hour. Then multiply that answer by 7.
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
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.