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musickatia [10]
3 years ago
7

A

Mathematics
1 answer:
kramer3 years ago
3 0

Step-by-step explanation:

the sum of a number and 2 is no less than the product of 9 and the same number

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For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po
9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)

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

\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}

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

hence, the answer is:

\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}

answer b

7 0
3 years ago
An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night.
8090 [49]

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.
4 0
3 years ago
1/2x=14<br> Help please I’ve been stuck on this how do I check it?
n200080 [17]
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
7 0
3 years ago
A certain natural number is not divisible by 7. Can it be divisible by 14, explain why or why not
Elanso [62]
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.
3 0
4 years ago
The following question has two parts. First, answer part A. Then, answer part B.
Dmitriy789 [7]

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      

8 0
4 years ago
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