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2 years ago

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The

Mathematics

1 answer:

slamgirl [31]2 years ago

5 0

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).

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)

c) d(41) = 10.34, so February 10 will have ...

12.13 -10.34 = 1.79

hours less daylight.

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andreyandreev [35.5K]

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The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.

Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days: 80-90=-10; 30-20=10; -10/10=-1
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Soloha48 [4]

Answer:

Step-by-step explanation:

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3 years ago

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jonny [76]

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3 years ago

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3 years ago

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postnew [5]

Answer: oh boi this is gonna take a long time to type. hang in there.

Step-by-step explanation:

#1: Soooooo. A rule is used to find the age of Cassandra's mother no matter the age of Cassandra. Therefore, the answer to #1 is 2C + 9 = M where C is equal to the age of Cassandra.

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#3: The rule IS the process that each student used to find her mother's age. This is how they are both related (the process and the rule).

#4: This is all you because I'm pretty sure this is from another problem you did or something.

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OH! MAKE SURE TO PUT THIS INTO YOUR OWN WORDS! (maybe you and i have a different way of speaking and this might get SUS)

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3 years ago