Help Plz. A 6 inch tall plant grew 3/4 of an inch one week and twice as much the following week. How tall is the plant now?
1 answer:
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The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Step-by-step explanation:
Let us revise the rule of surface area and volume of a cylinder
- S.A = 2π r h + 2π r²
- V = π r² h
Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume
∵ S.A = 40 inches²
∵ S.A = 2π r h + 2π r²
∴ 2π r h + 2π r² = 40
Let us use this rule to find h in terms of r
- Subtract 2π r² from both sides
∵ 2π r h = 40 - 2 π r²
- Divide both sides by 2π r
∴
∴
∴
∵ V = π r² h
- Substitute h by its value above
∴
∴ V = 20 r - π r³
To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r
∵ = 20 - 3π r²
∵ = 0
∴ 20 - 3π r² = 0
- Add 3π r² to both sides
∴ 20 = 3π r²
- Divide both sides by 3π
∴ r² = 2.122
- Take √ for both sides
∴ r = 1.457 inches
To find h substitute the value of r in the expression of h
∵
∴
∴ h = 2.913 inches
The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
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Answer:
For this case the population is described as:
All the college students
And the political have a list of 3456 undergraduates at her college for the sampling frame.
The sample would be the 104 students who return the survey.
Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.
Step-by-step explanation:
For this case the population is described as:
All the college students
And the political have a list of 3456 undergraduates at her college for the sampling frame.
The sample would be the 104 students who return the survey.
Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.
For this case we can also find the non reponse rate since we know that the total of questionnaires are 250 and she got back just 104 answered
So we have a non response rate of 58.4 %