What is the volume of the sphere?
2 answers:
Answer: 113.1
Step-by-step explanation:
The formula is
The radius is 3, and 3 cubed is 27.
Then, 27 x is about 84.82
Finally, 84.82 x is about 113.1
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Answer:
Step-by-step explanation:
Remember the equation for the sphere is...
First step:
Second step:
Third step: Don't do 27 times 3 first. Make sure to cross out the dominator of 4/3, which is 3, and the 27.
Fourth step: Change the 27 to 9.
Fifth step: Multiply 4 times 9, which is 36.
Sixth step: Final answer is
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Given:
The increase in pressure P is the linear function of the depth d.
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
Therefore, the required cost function is .