Answer:

Step-by-step explanation:
Circumference of the column 
Circumference of a circle
Therefore:

Area of a Circle 
Since radius of the cross section of the column =9 meters
Area of the cross section of the column

Answer:
3/2
Step-by-step explanation:
move the 3x to the other side and divide it by 2
Answer:

So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ

We can reorder the expression like this:

We can use the substitution
and
so then we have:

IF we integrate both sides we got:

If we apply exponential in both sides we got:

And if we replace w = u-T we got:

We can also express the solution in the following terms:

For this case we know that
since w ehave a cooloing,
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:



If we apply natural logs on both sides we got:


So it would takes approximately 6.9 hours to reach 32 F.
Answer: 150 pounds
Step-by-step explanation:
Let the the astronaut weight on Earth be represented by x.
Based on the information given in the question, thus can be formed into an equation as:
16.5% of x = 24.75
16.5% × x = 24.75
16.5/100 × x = 24.75
0.165x = 24.75
x = 24.75/0.165
x = 150 pounds
The astronaut weigh 150 pounds on Earth.
Answer:
27
Step-by-step explanation:
x + y = 30
0.05x + 0.15y = 1.80
x = 30 - y
1.5 - 0.05y + 0.15y = 1.80
0.10y = 0.30
y = 3 (bottles)
x = 27 (cans)