The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.A 2-column table with 5 rows. Column 1 is labeled x with entries 12 a m, 3 a m, 6 a m, 9 a m, 12 p m. Column 2 is labeled y with entries 6, 10, 6, 2, 6.
Which equation models the data in the table?
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10
Answers
Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.
What is a cyclic pattern?
Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.
Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.
Table:
12 AM 6
3 AM 10
6 AM 6
9 AM 2
12 PM 6
from the general formula of wave
y = A sin(bx + c)
Substituting values in the equation from the graph attached below:
6 = A sin(0*b + c)......(1)
10 = A sin3b + c...(2)
6 = A sin6b + c......(3)
2 = A sin9b +c........(4)
Since -c/b is a phase shift of the graph
Thus
-c/b = 6
c = -6b
from equations 2 and 1
2* 6 = Asin(-3b) = -Asin3b
2 * 6 = Asin(-6b) = -Asin6b
2* 6/6 =sin6b/sin3b
1 = Cos3b
Thus b = π/6
from substitution in equations 3
6 = A sin6b + c
=> 6 = Asin 6* pi/6 + c
=> c = 6
from substitution in equations 2
10 = A sin3b + c
A = 4
therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.
Learn more about cyclic patterns here:
#SPJ3
Answer:
c
Step-by-step explanation:
Related Questions
Hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x
I NEED HELP!!Select correct answer
The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as which of the following? cosine of 7 times pi over 10 cosine of 3 times pi over 10 sine of 7 times pi over 10 sine of 3 times pi over 10 (The clear version of the question is in the picture below)
I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, mymiddle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. Whatnumber am I?
Answers
Answer:
6:1
Step-by-step explanation:
48:( 4+4 )
= 48:8
= 6:1
Answers
Answer:
P=633/800
Step-by-step explanation:
The total number of integers from 1 to 2400 is 2400.
As understand we are looking for the numbers which can be divided at least by one of the numbers 6 or 8. Lets call all integers which can be divided by 6 or by 8 " black" integers and others " white" integers.
For example 6 can be divided by 6, however can not be divided by 8. However it is divided by 6 so we have to 6 belongs to " black" untegers.
The number of integers which can be divided by 6 is
2400:6=400 (1st sheet of black integers)
The number of integers which can be divided by 8 is 2400:8=300 (2nd shhet of black numbers).
So total amount of " black" integers= 400+300=700. However some of these integers can be divided both as by 6 as by 8.
These integers heve been included as to sheet 1 as to sheet 2. ANother words these integers have been included twice. SO we have to find the
total number of such integers and deduct them from 700.
These are the integers as follows:
3*4*2=24
3*4*3=36
3*4*4=48
3*4*5=60
3*4*6=72 ...
So these is any integer from 1 to 2400 which can be divided by 12 but own 12.
The number of such integers is:
2400:12-1=200-1=199
So the number of black integers is 700-199=501
That means that the number of white integers is 2400-501 = 1899
The required probability is P=1899/2400=633/800
Answers
Answer:
25
Step-by-step explanation:
Answer:
the answer is 25
Step-by-step explanation:
Answers
Formula:
Interior + Interior=exterior
Step 1:
75 + 64 =x
139=x
Mark brainliest if helpful
Answers
Answer:
$563.16
Step-by-step explanation:
741 x 24%=177.84
741-177.84
Answers
answer:
I gotdas the answer