Answer:
independent: day number; dependent: hours of daylight
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
1.79 fewer hours on Feb 10
Step-by-step explanation:
a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).
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b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,
March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...
d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
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c) d(41) = 10.34, so February 10 will have ...
12.13 -10.34 = 1.79
hours less daylight.
9y-10 would be 17. 9x3=27, -10 is 17. hope this helped :)
Morse's monthly expenses are:
* $2,704 for fixed expenses.
* $687 for living expenses.
* $454 for annual expenses.
His total monthly expenses are:
$2,704 + $687 + $454 = $3,845
His annual total expenses are:
12 × $3,845 = $46,140
His annual net income is $46,752. Thus his annual balance is:
$46,752 - $46,140 = $612
His monthly balance is $612/12 = $51.
There is a surplus of $51
Answer:
The interior angles will remain the same.
(if i helped can i please have brainliest?)
Answer:
104
Step-by-step explanation:
Subtract 10 from 114