Answer:
Step-by-step explanation:
To find the values of the angle which makes maximum r you use the derivative of r

If you equals this derivative to zero you obtain the value of the angle:

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.
hence, the answer is:

answer b
Answer:
C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
Step-by-step explanation:
- Population is the total units of study for the research.
- Sample is the selected units, chosen for conducting the research study.
- Parameter of interest is the characteristic or variable, that is studied related to the population or sample
Research of average hours of sleep in a school; on the basis of 120 students selected for the study; are :-
- Population is the total number of students in the school, i.e = 1200 students
- Sample is the selected number of students, chosen (enquired) for the study, i.e = 120 students
- The parameter of interest is the variable of students, that needs to be studied, i.e average sleep hours.
Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28
For a number to be divisible by 14 it needs to be both divisible by 7 and 2 which are factors of 14. Every time you have a number (x) to check if it is divisible by some larger number you find the factor of that larger number and check is the x divisible by both.
Answer: it cannot be divisible by 14.
Answer:
Her estimate is reasonable.She can make 25 completed centerpieces
Step-by-step explanation:
Estimate 20 flowers per centerpiece. 430 flowers divided by 20 flowers per centerpiece.
430 /20 is approximately 21 centerpieces. Her estimate is reasonable.
430/20 Divide the top and bottom by 10
43/2 is 21*2 = 42 with 1 left over 21 1/2
We know we underestimated when we rounded 17 to 20. Se we are a little under with 21.5
Exact answer:
430÷17
17 goes into 43 2 times (17*2 = 34 43-34 = 9 left over)
17 goes into 90 5 time (17*5 = 85 90-85 = 5 left over)
She can make 25 completed center pieces