Answer:
Step-by-step explanation:
Solution:-
- We are to model a sinusoidal function for the number of hours of daylight measured in one year in Ellenville.
- We will express a general form of a sinusoidal function [ f ( t ) ] as follows:
Where,
A: The amplitude of the hours of daylight
w: The angular frequency of occurring event
c: The mean hours of daylight
t: The time taken from reference ( days )
- We are given that the longest day [ 
] occurred on June 21st and the shortest day [ 
] on December 21st.
- The mean hours of daylight ( c ) is the average of the maximum and minimum hours of daylight as follows:
- The amplitude ( A ) of the sinusoidal function is given by the difference of either maximum or minimum value of the function from the mean value ( c ):
- The frequency of occurrence ( w ) is defined by the periodicity of the function. In other words how frequently does two maximum hours of daylight occur or how frequently does two minimum hours of daylight occur.
- The time period ( T ) is the time taken between two successive maximum duration of daylight hours. We were given the longest day occurred on June 21st and the shortest day occurred on December 21st. The number of days between the longest and shortest day will correspond to half of the time period ( 0.5*T ):
![0.5*T = 7 + 31 + 31 + 30 +31 +30 +21\\\\T = 2* [ 181 ] \\\\T = 362 days](https://tex.z-dn.net/?f=0.5%2AT%20%3D%207%20%2B%2031%20%2B%2031%20%2B%2030%20%2B31%20%2B30%20%2B21%5C%5C%5C%5CT%20%3D%202%2A%20%5B%20181%20%5D%20%5C%5C%5C%5CT%20%3D%20362%20days)
- The angular frequency ( w ) is then defined as:
- We will now express the model for the duration of daylight each day as function of each day:
Answer:
A
Step-by-step explanation:
its the only negative whilst others are positive
Answer:
1.) In biology, <u>cell theory is the historic scientific theory that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.</u> Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.
Part 2-<u>Hans and Zacharias Jansen, Robert Hooke, Matthias Schleiden, Theodor Schwann, Robert Brown;</u> were all the scientists that contributed to the cell theory.
2.) <u>Prokaryotic and Eukaryotic.</u> Prokaryotic cells lack a nucleus and other membrane-bound organelles. Eukaryotic cells have a nucleus and other membrane-bound organelles. This allows these cells to have complex functions.
3.) <u>Homeostasis is the state of steady internal, physical, and chemical conditions maintained by living systems.</u> This is the condition of optimal functioning for the organism and includes many variables, such as body temperature and fluid balance, being kept within certain pre-set limits (homeostatic range).
4.) I can't help you here, sorry.
8.) <u>Step 1: DNA Replication</u>
<u>Step 2: Chromosome Segregation</u>
<u>Step 3: Separation</u>
Part 2- <u>Mitosis</u>
Part 3- <u>Meiosis</u>
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Have a great day! ^^
The answer would be 0.1432
Answer: 20 child tickets were sold that day.
Step-by-step explanation:
Let x represent the number of child tickets that were sold that day.
Let y represent the number of adult tickets that were sold that day.
On Sunday, twice as many adult tickets as child tickets were sold. It means that
y = 2x
At the city museum, child admission is $6.30 and adult admission is $9.60. The total sales for that day was $510.00. It means that
6.3x + 9.6y = 510- - - - - - - - - - - -1
Substituting y = 2x into equation 1, it becomes
6.3x + 9.6 × 2x = 510
6.3x + 19.2x = 510
25.5x = 510
x = 510/25.5
x = 20
y = 2x = 2 × 20
y = 40
