Answer: 78
Step-by-step explanation:
just add the time all together then this will be your answer.
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
Answer:
-12
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Factorize numbers 42 and 56:

These two numbers have common factors 2 and 7. So,
A. Mr. Ellis can divide the group into
- 1 team = 42 ten-year-olds and 56 nine-year-olds (actually this is not dividing only completing 1 team);
- 2 teams = 21 ten=year-olds and 28 nine-year-olds in each team;
- 7 teams = 6 ten-year-olds and 8 nine-year-olds in each team;
- 14 teams = 3 ten-year-olds and 4 nine-year-olds in each team.
So, there are 3 different ways to divide the group of students into teams.
B. The greatest number of teams Mr. Ellis can make so each team has the same number of 9-year-olds and the same number of 10-year-olds is 14 teams.
C. If Mr. Ellis gives a snack to each winner, then he is interested to give the smallest number of snacks, the smallest number of snacks will be when the number of students in the team is the smallest, the smallest number of students will be when the greatest number of teams are created.