# A model for the length of daylight (in hours) in Philadelphia on the tth day of the year is L(t) = 12 + 2.8 sin 2π/365(t − 80) . Use this model to compare how the number of hours of

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1. ## Calculus Help

A model for the length of daylight (in hours) in Philadelphia on the tth day of the year is L(t) = 12 + 2.8 sin[(2π/365)(t − 80)]. Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and April 21.

2. ## The Graphical Method

A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the

3. ## trig

A city averages 14 hours of daylight in June, 10 in December, 12 in both March and September. Assume that the number of hours of daylight varies sinusoidally over a period of one year. Write an expression for n, the number of hours of daylight, as a cosine

4. ## Math

Soundex produces x Model A radios and y Model B radios. Model A requires 15 min of work on Assembly Line I and 10 min of work on Assembly Line II. Model B requires 10 min of work on Assembly Line I and 12 min of work on Assembly Line II. At most, 25

5. ## calculus

A model for the length of daylight (in hours) in Philadelphia on the tth day of the year is L(t) = 12 + 2.8 sin 2π/365(t − 80) . Use this model to compare how the number of hours of daylight is increasing in Philadelphia on April 21 and June 5. (Assume

6. ## finite math

Kane Manufacturing has a division that produces two models of hibachis, model A and model B. To produce each model-A hibachi requires 3 lb of cast iron and 6 min of labor. To produce each model-B hibachi requires 4 lb of cast iron and 3 min of labor. The

7. ## Earth's Dynamic Atmosphere

Which one of the following statements is true about the equinoxes? A. They occur in June and December. B. Days and nights are equal in length everywhere. C. The length of daylight at the Arctic and Antarctic Circles is 24 hours. D. The Sun's vertical rays

8. ## Trignometry

In Philadelphia the number of hours of daylight on day t (t is the number of days after january 1) is modeled by the function L(t)= 12+2.83sin((2*Pi)/365(t-800) a. Which day have about 10 hours of daylight? b. How many days of the year have more than 10

9. ## math

In Philadelphia the number of hours of daylight on day t (where t is the number of days after Jan. 1) is modeled by the function L(t)= 12+2.83sin(2pi/365(t-365)) A) Which days of the year have about 10 hours of daylight? B) Which days of the year have more

10. ## Math:)

The data in the table represents the average number of daylight ours each month in Springfield in 2015, rounded to the nearest quarter-hour. Jan~9.5 hrs Feb~10.5 hrs Mar~12 hrs Apr~13.25 hrs May~14.5 hrs Jun~15 hrs Jul~14.75 hrs Aug~13.75 hrs Sep~12.5 hrs

11. ## Math

Brian was training to run a marathon. During the three day period before the race he decided he would train for 11 hours. If he trained for 2 3/5 hours first day and 2 9/10 second day, how many hours would he need to train third day. This is the question I

12. ## HISTORY

What impact did the Industrial Revolution have on Philadelphia? A. Philadelphia's population shrank, which increased the need for farmers. B. There was increased agricultural production around Philadelphia, justifying slavery. C. The population in

13. ## math

The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours

14. ## MATH

Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A grate requires 3 lb of cast iron and 6 min of labor. To produce each model B grate requires 4 lb of cast iron

15. ## Trigonometry

The number of hours of daylight in a city in the northern hemisphere shows periodic behavior over time. - The average number of daylight hours is 12 - The maximum number of daylight hours is 14.4 - The period is 365 days - The day with the least sunlight

16. ## Math- Trigonometry

The flowering of many commercially grown plants in greenhouses depends on the duration of natural darkness and daylight. Short-day plants, such as chrysanthemums, need 12 or more hours of darkness before they will start to bloom. Long day plants, such as

17. ## math

Ace Rubber company manufacture three types of tires: Model P, the premium, Model S, the second line, and Model E, the economy. Model P sells for Birr 95 per tire and costs Birr 85 per tire to make, Model S sells for Birr 78 per tire and costs Birr 72 per

18. ## science

The diagram shows when Summer is occurring in the Northern Hemisphere. At which position will the day with the shortest amount of daylight hours occur for the Northern Hemipshere? Diagram : A B sun D C I think D

19. ## Math

Ramundus is making a xylophone. So far, he has bars that are 1 3/4 feet 1 7/12 feet and 1 2/3 feet long. What is the length of the longest bar 3/4? Alana practiced dancing for 11/4 hours on Monday 19/8 hours on Wednesday and 2 3/5 hours on Friday. On which

20. ## Trigonometry

Needing a little help with this one: The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. January - 9.5 February - 10.5 March - 12 April - 13.25 May - 14.5 June - 15

21. ## Math

14. a. A Restaurant is open 24 hours a day. The manager wants to divide the day into work shifts of equal length. The shifts should not overlap, and all shift durations should be a whole number of hours. Describe the different ways this can be done.

22. ## Math

The number of daylight hours in a day is harmonic. Suppose that in a particular location, the shortest day of the year has 7 hours of daylight and the longest day of the year has 18 hours. Then, we can model its motion with the function N=Asin(Bt) + C

23. ## Physics

Solar heating takes advantage of solar collectors such as the type shown in the figure . During daylight hours, the average intensity of solar radiation at the top of the atmosphere is about 1400 W/m^2. About 50% of this radiation reaches the Earth during

24. ## math

Soundex produces x Model A radios and y Model B radios. Model A requires 15 min of work on Assembly Line I and 10 min of work on Assembly Line II. Model B requires 10 min of work on Assembly Line I and 12 min of work on Assembly Line II. At most, 25

25. ## Math - Linear Inequalities

The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours

26. ## science

Which of these locations on Earth experiences the least change in the number of daylight hours throughout the year?

27. ## math

Can hours of daylight data be modeled as a sinusoidal function for every location on earth? Explain

28. ## pHYSIC

Now let us consider the length of time that the Sun is visible. Wait until the planet is at the summer solstice (12:00am). a) How many hours of daylight are there on the summer solstice with the inclination at 45 degrees? To estimate the length of day,

29. ## Algebra 2

A bicycle builder makes two models. The basic model requires 2 hours of frame construction, 4 hours of assembly, and 1 hour of finishing. The deluxe model requires 3 hours of frame construction, 3 hours of assembly, and 2 hours of finishing. Each day 36

30. ## Physics

Because Earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century. In 72 centuries, what is the total (in hours) of the daily increases in time (that

31. ## Programming

Write pseudocode to represent the logic of a program that allows the user to enter a value for hours worked in a day. The program calculates the hours worked in a five day week and the hours worked in a 252 day work year. The program outputs all the

32. ## science

It is Summer for a city located in the Northern Hemisphere. Each day the amount of daylight varies slightly, but it is about 12 hours and 30 minutes. Which latitude is this city located at? 90 50 70 20

33. ## Math

The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours

34. ## math

a resturant is open 24 hours a day. T he manager wants to divide the day into work shifts of equal length. The shifts should not overlap. All shift durattions should be a whole number of hours. Describe the different ways this can be done.

35. ## Math

Ace Rubber company manufacture three types of tires: Model P, the premium, Model S, the second line, and Model E, the economy. Model P sells for Birr 95 per tire and costs Birr 85 per tire to make, Model S sells for Birr 78 per tire and costs Birr 72 per

36. ## Math

Grade 7 students were surveyed to determine how many hours per day they spent on various activities. The results are shown in the circle graph below. About how many hours per day altogether were spent on watching TV and homework? The percentage for

37. ## Pre Calculus HELP!?

The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(t)= 10+2.8sin(2pi/365)*(t-1.35). How many hours of daylight are there on the 100th day of

38. ## Pre-Calculus HELP!!

The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(x)=11+2.2sin(2pi/365)t-1.25).How many hours of daylight are there on the twelfth day of

39. ## Trigonometry

Can someone please explain this to me?? I'm really stuck on it. First of all, i don't know if I should use cosine or sine for the function because it only says to make a sinusoidal function that models the data, and a sinusoidal function could be either

40. ## Math

The hours of daylight in LA oscillates from a low of 10 hours in Jan to 14 hours in July. How many months of the year are there more than 13 hours of daylight?

41. ## Math 1324

A manufacturer produces two models of elliptical cross-training exercise machines. The times for assembling, finishing, and packaging model A are 3 hours, 3 hours, and 0.8 hour, respectively. The times for model B are 4 hours, 2.5 hours, and 0.4 hour. The

42. ## Algebra 2 (Linear Programming)

A bicycle builder makes two models. The basic model requires 2 hours of frame construction, 4 hours of assembly, and 1 hour of finishing. The deluxe model requires 3 hours of frame construction, 3 hours of assembly, and 2 hours of finishing. Each day 36

43. ## science

How long is day and how long is night? PLEASE HELP ME! thanks PLEASE HELP ME!! We usually think, in the United States, of a day being 12 hours and night being 12 hours; however, as you well know, the actual hours of daylight and night time change daily.

44. ## Math

Everyday I practice the drums for the same length of time. By the end of the 15th week, I have practiced a total of 37 1/2 weekday hours. How many hours do I practice a day? I did 15 x 5 to get 75 days then divided by 37 1/2 hours to get how many hours per

45. ## math word problem

Here's the latest from the UMW math department: Andy drove from Richmond to Boston at an average speed of 50 miles per hour. If it took 5 hours to drive from Richmond to Philadelphia at an average speed of 70 miles per hour and if the whole trip took 13

46. ## Math

The Table shows some common scales used in a model railroading.For each scale,find the length of a model of an 82-foot long boxcar.Give the length of each model in inches. Scale Name/Scale N 1:160, S 1:64, O 1:48

47. ## earth

3. Show how the length of day changes with latitude by plotting the following points. Use the table below as a graph and place an X in the box where you want to plot a data point. For example, if you find that a day is 10 hours long at 30° N latitude,

48. ## Calculus

I'm having a little trouble with this problem...it would be great if you could point out where I'm going wrong. Hours of Daylight as a Function of Latitude. Let S(x) be the number of sunlight hours on a cloudless June 21st, as a function of latitude, x,

A model for the length of daylight (in hours) in Philadelphia on the t th day of the year is L(t)= 12+2.8 sin[2pi/365(t-80)] Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and May 21. (Assume there

50. ## Pre-Calculus

At 34 degrees north latitude, the longest day of the year has 14.273 hours of daylight, and the shortest day 9.726 hours. If the equinox falls on march 21(day 80), model the hours of the daylight by day?

51. ## Trigonometry

Someone please help me!!! I think I've found the correct formula for this but I don't understand exactly why this is a sine function and how to find the days of the year when Portland has 11 and 15 hours of daylight. PLEASE HELP!! The equation I got was: D

The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation : D(t)=12+Asin(((2pi)/(365))(t-80)) where A depends only on the latitude (and not t). for latitude 30 degress, A is about 2.3 1. When is the

53. ## calculus

The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation : D(t)=12+Asin(((2pi)/(365))(t-80)) where A depends only on the latitude (and not t). for latitude 30 degress, A is about 2.3 1. When is the

54. ## Trigonometry

The number of daylight hours in a day is harmonic. Suppose that in a particular location, the shortest day of the year has 7 hours of daylight and the longest day of the year has 18 hours. Then, we can model its motion with the function N=Asin(Bt) + C

55. ## Precalculus II

1. The number of hours of daylight D(t) in Halifax at day t can be approximated by the function D(t) = a sin(bt + c) + d, where t = 1 on January 1, and t = 365 on December 31. The period is one year, and the cycle starts on the vernal equinox, March 21,

56. ## Trigonometry

Someone please help me!!! I think I've found the correct formula for this but I don't understand exactly why this is a sine function and how to find the days of the year when Portland has 11 and 15 hours of daylight. PLEASE HELP!! The equation I got was: D

57. ## Astronomy - Physics

Now, wait until the planet is at the winter solstice (12:00am). a) How many hours of daylight are there on the winter solstice with the inclination at 45 degrees? Use the same criteria for the length of day that you used for the previous question.

58. ## Astronomy - Physics

Now let us consider the length of time that the Sun is visible. Wait until the planet is at the summer solstice (12:00am). a) How many hours of daylight are there on the summer solstice with the inclination at 45 degrees? To estimate the length of day,

59. ## math

In 2001, Windsor, Ontario received its maximum amount of sunlight, 15.28 hrs, on June 21, and its least amount of sunlight, 9.08 hrs on December 21. a. Due to the earth’s revolution about the sun, the hours of daylight function is periodic. Determine an

60. ## math

In 2001 Windsor Ontario will receive its maximum amount of sunlight 15.28 hrs on Jun 21 and its least amount of sunlight 9.08 hrs on Dec 21? a. Due to the earth's revolution about the sun, the hours of daylight function is periodic. Determine an equation

In 2001, Windsor, Ontario received its maximum amount of sunlight, 15.28 hrs, on June 21, and its least amount of sunlight, 9.08 hrs, on December 21. 1) Due to the earth's revolution about the sun, the hours of daylight function is periodic. Determine an

62. ## pHYSIC

5. Now, wait until the planet is at the winter solstice (12:00am). a) How many hours of daylight are there on the winter solstice with the inclination at 45 degrees? Use the same criteria for the length of day that you used for the previous question. b)

63. ## math

In 2001, Windsor, Ontario will receive its maximum amount of sunlight, 15.28 hrs, on June 21, and its least amount of sunlight, 9.08 hrs, on December 21. Due to the earth's revolution about the sun, the hours of daylight function is periodic. Determine an

64. ## homework

which locations have the greatest number of hours of daylight on june 21? the fewest hours of daylight?

65. ## Math, Trigonometry

daylight in Calgary, AB each month is show in the table below.? Month Daylight (hrs) Jan 8.50 Feb 10.03 March 11.91 April 13.87 May 15.57 June 16.48 July 16.03 Aug 14.51 Sept 12.63 Oct 10.68 Nov 9.20 Dec 7.99 a) Determine the regression equation that

66. ## Chemistry

Nitrogen Oxides, NOx (mixture of NO and NO2). The NOx in the atmosphere is slowly broken down to N2 and O2 in a first-order reaction. The average half-life of NOx in the smokestack emissions in a large city during daylight is 3.9 hours. (a) Starting with

67. ## physics

Estimate the time difference between the longest amount of daylight in one day and the shortest amount of daylight on one day in seconds over the course of a year if you lived on the Earth's equator

68. ## Algerba

would you expect a positive, a negative, or no association between the number of hours of daylight during a day and the number of hours of darkeness?

69. ## pre calc

Over the course of a year, the number of hours of daylight in Australia is modelled by H=12+3 cos(2pi/365 *t) where t is the time in days and T is the number of daylight.

70. ## Math

n 2001, Windsor, Ontario will receive its maximum amount of sunlight, 15.28 hrs, on June 21, and its least amount of sunlight, 9.08 hrs, on December 21. a. Determine an equation that can model the hours of daylight function for Windsor, Ontario. b. On what

71. ## Algebra 2

Mario took a 17 day trip around the U.S. He visited Boston, Miami, Philadelphia and New York. In Boston he spent \$200 per day, in Miami \$225 per day, in Philadelphia \$175 per day and in New York he spent \$150 a day for a total of \$3400. The number of days

72. ## Astronomy - Physics

Finally, we will look at a system that is in an orbit comparable to the Earth to see how the angle that the light strikes the surface and the length of day contribute to the total amount of energy that we receive from the Sun at the two solstices. Recall

73. ## math

Hi, I had an SAT question of the day that I cannot figure out. The question is: If it is now 4:00 p.m. Saturday, in 253 hours from now, what time and day will it be? (Assume no daylight saving time changes in the period.) The answer choices are: 1. 5:00

74. ## Maths

The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours

75. ## astronomy

2. We ultimately want to find the amount of solar energy that hits the observer on the planet. Energy is usually measured in Joules, but there are other appropriate units of energy as well; kilowatt-hours for example, are used to measure the amount of

76. ## Algebra

If some one can get me started, I should be able to graph this. MONTGOMERY COUNTY COMMUNITY COLLEGE MAT106 SUMMER, 2007 ASSIGNMENT #1 NAME______________________________ The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The

77. ## math

A company produces three types of color TVs: Models X, Y and Z. Each model X requires 2 hours of electronic work and 2 hours of assembly work. Each Y model requires 1 hour of electronic work and 3 hours of assembly work. Each model Z requires 3 hours of

78. ## math

A company produces three types of color TVs: Models X, Y and Z. Each model X requires 2 hours of electronic work and 2 hours of assembly work. Each Y model requires 1 hour of electronic work and 3 hours of assembly work. Each model Z requires 3 hours of

79. ## Earth Science

Can you help me find how many hours are received by these degrees of latitude during the winter (see details)? North Pole = 0 hrs of daylight Equator = 12 hrs of daylight South Pole = 24 hrs of daylight 66.5 degrees north = ? 23.5 degrees north = ? 23.5

80. ## Algebra

On a summer day in Cape Cod, the depth of the water at a dock was 4ft at low tide at 2:00 AM. At high tide 5 hours later, the heist of the water at the dock rose to 14 feet. Write a cosine function to model the height of the water at the dock x hours after

81. ## PHYSICS

Because Earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century. In 93 centuries, what is the total (in hours) of the daily increases in time (that

82. ## physics

Because Earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century. In 58 centuries, what is the total (in hours) of the daily increases in time (that

83. ## Science

How do you find the hours of daylight ?

84. ## Cost accounting managment

Ace Rubber company manufacture three types of tires: Model P, the premium, Model S, the second line, and Model E, the economy. Model P sells for Birr 95 per tire and costs Birr 85 per tire to make, Model S sells for Birr 78 per tire and costs Birr 72 per

85. ## math

Ace Rubber company manufacture three types of tires: Model P, the premium, Model S, the second line, and Model E, the economy. Model P sells for Birr 95 per tire and costs Birr 85 per tire to make, Model S sells for Birr 78 per tire and costs Birr 72 per

86. ## Science

Are there more hours of daylight in the summer than in the winter

87. ## Math

Here is the instruction: Use the data from the table to calculate the number of hours of daylight for one day per week throughout the year (52 data points). Be sure to use the same day of the week so that your data points are evenly spaced 7 days apart.

88. ## math

Suppose the length of time cats sleep each day is normally distributed with a mean of 15 hours and a standard deviation of 2 hours. Which groups describe 34% of the cat population? I just need help on how to do it.

89. ## Finite Math

Kane Manufacturing has a division that produces two models of hibachis, model A and model B. To produce each model-A hibachi requires 3 lb of cast iron and 6 min of labor. To produce each model-B hibachi requires 4 lb of cast iron and 3 min of labor. The

90. ## Finite

Kane Manufacturing has a division that produces two models of hibachis, model A and model B. To produce each model-A hibachi requires 3 lb of cast iron and 6 min of labor. To produce each model-B hibachi requires 4 lb of cast iron and 3 min of labor. The

91. ## Math

1. Mackenzie spent a lot of time on her project for Columbus Day. On Monday she worked for 2 hours and 33 minutes on making a poster. On Tuesday she worked for 1 hour and 28 minutes drawing a picture of Columbus. On Wednesday she spent two hours building a

92. ## Math

1. Mackenzie spent a lot of time on her project for Columbus Day. On Monday she worked for 2 hours and 33 minutes on making a poster. On Tuesday she worked for 1 hour and 28 minutes drawing a picture of Columbus. On Wednesday she spent two hours building a

93. ## Geography

Why is there 12 hours of daylight all year at Quito? I think it's because it's on the equator, but I don't really get it

94. ## Finite Math

Kane Manufacturing has a division that produces two models of hibachis, model A and model B. To produce each model-A hibachi requires 3 lb of cast iron and 6 min of labor. To produce each model-B hibachi requires 4 lb of cast iron and 3 min of labor. The

95. ## math

this was emily's full day yesterday: she spent 8 hours sleeping, 1 hour in the shower, 6 hours in class, 2 hours eating and snacking, 4 hours studying, and 3 hiurs watching tv. What percent of her day was spent studying.

96. ## Math

Kristin worked a total of 10 1/2 hours over 2 days. She worked 6 3/4 hours the first day and h hours the second day. Which equation represents how to find the number of hours Kristin worked the second day? A. 6 3/4h=10 1/2 B. h-6 3/4=10 1/2 C.10 1/2h= 6

97. ## math

Luke build a model train to a scale of 1:25.calculate a copy of the table below using his scale. length of engine on the real x and on the model is 16cm. length of train on the real 20m and x on the model. height of train is x and 12cm on the model.

98. ## Science

Read the following "For the Polar Regions (the areas at the top and bottom of the Earth) and the temperate zones (the area around the middle), seasons change the amount of daylight and darkness they experience more than the temperature." What does the word

99. ## math

ms. gries is an athlete. she is skis every day for 5 days. she skis for 1 1/2 hours for her first day and increases her time by 1 1/4 hours for her next four days. how many hours will she ski on the fifth day? show you work

100. ## math

Can hours of daylight data be modeled as a sinusoidal function for every location on earth? Explain.