A population of 400 beetles grows by 5% each week. How can the beetle population be determined after a number of weeks, w?
2 answers:
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Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.
Let Sam can change the bulbs in the office alone in 'r' hours
Per hour work done by Sam alone =
Let Sam takes he time to change the same bulbs in the office alone = 8 hours
Per hour work done by Sam =
Since, Sam and Charlie complete the work together in time = 3 hours
Therefore, per hour work done by both =
Equation for per work done by both will be,
Per hour work done by both = Per hour work done by Sam alone + Per hour work done by Charlie
Therefore, equation for the rate 'r' will be,
Answer:
If , the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
Where is the altitude of the cone, measured in inches. If
, then:
And:
Given that , the following second-order polynomial is obtained:
Roots can be found by the Quadratic Formula:
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.