Julie used data from 2017 to create this function to model the amount of daylight in New York Citythroughout any year. The variable t represents the number of days beginning with the springequinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes.1. According to Julie's function, what are the dates in 2017 with the greatest amount and leastamount of daylight time? What is the amount of daylight time during each of these days, in hoursand minutes? Explain your reasoning.JanuaryMTWTFS2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D.a. Explain how your responses to Question 1 relate to the A-value in this context.b. What is the meaning of the B-value and D-value in this context.20178 9 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31MaySMTWTFS1 2 3 4 5 678 9 10 11 12 1314 15 16 17 18 19 2021 22 23 24 25 26 2729 30 31SeptemberSMTWTFSD(t) = 175.5 sin 365t123 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 30Your DoononcOOLFebruaryt + 732AprilTWTFSSMTWTFSS MTWTF5 78912 13 14 15 16 17 1819 20 21 22 23 24 2526 27 281 2 3 411 5 6 7 8 9 10 1112 13 14 15 16 17 1819 20 21 22 23 24 2526 27 28 29 30 31JuneSMTWTFS1 2 34 5 6 7 8 9 1011 12 13 14 15 16 1718 19 20 21 22 23 2425 26 27 28 29 30MarchOctoberSMTWTFS1 2 3 4 5 6 78 9 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31JulySMTWTFS2 3 4 5 6 7 89 10 11 12 13 14 1516 17 18 19 20 21 2223 24 25 26 27 28 2930 31NovemberSMTWTFS5 6 7 8 9 10 1112 13 14 15 16 17 1819 20 21 22 23 24 2526 27 28 29 302 3 4 5 6 7 89 10 11 12 13 14 1516 17 18 19 20 21 2223 24 25 26 27 28 2930AugustSMTWTFS6 7 8 9 10 11 1213 14 15 16 17 18 1920 21 22 23 24 25 2627 28 29 30 31DecemberSMTWTFS123 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 3031

Answered: Image /qna-images/answer/1722d659-cde4-4d8e-a7fd-85d54ccc1718.jpg

Julie used data from 2017 to create this function to model the amount of daylight in New York City throughout any year. The variable t represents the number of days beginning with the spring equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes. D(t) = 175.5 sint + 732 1. According to Julie's function, what are the dates in 2017 with the greatest amount and least amount of daylight time? What is the amount of daylight time during each of these days, in hours and minutes? Explain your reasoning. 2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D. a. Explain how your responses to Question 1 relate to the A-value in this context. b. What is the meaning of the B-value and D-value in this context.

Julie used data from 2017 to create this function to model the amount of daylight in New York City throughout any year. The variable t represents the number of days beginning with the spring equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes. D(t) = 175.5 sint + 732 1. According to Julie's function, what are the dates in 2017 with the greatest amount and least amount of daylight time? What is the amount of daylight time during each of these days, in hours and minutes? Explain your reasoning. 2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D. a. Explain how your responses to Question 1 relate to the A-value in this context. b. What is the meaning of the B-value and D-value in this context.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A projectile is launched from a tower into the air with initial velocity of 48 feet per second. Its…

A: A projectile is an object falling freely under the influence of gravity alone. Such an object has a…

Q: Determine a function using x and y that models the relationship above. Part B What is the…

A: here use basic of regression line

Q: 4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount…

Q: Solve. log,(a) = 3 54

Q: 1. Sketch a graph of the function y = 4 log(3x + 6) + 5. Then identify the key features of the…

Q: The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and…

A: As the price of 1 gallon of unleaded gasoline is decreasing 4 cents per month starting from…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Let, l = the length of one side of the rectangular field w = the length of the other side.

Q: Graph the three functions y = xa, y = ax and y = loga x together on the same screen for a = 2, 10,…

A: It is given that the three function are y = xa, y = ax and y = logax.Sketch the three function as…

Q: Write equations from the following below that can be used to create an animated design on desmos…

A: Given:The animated design must meet the following:It must have a minimum of 10 functions.It includes…

Q: It is time to clean the water tank. The process requires draining a 75-gallon tank. To siphon the…

A: The objective of this question is to understand the relationship between the elapsed time and the…

Q: Use your calculator to find the x-coordinate of the point of intersection of the two lines. Input…

A: Solve the following

Q: A $2500 investment earns 8% interest, compounded quarterly (4 times a year). a) Write an equation…

A: Given- A $2500 investment earns 8% interest, compounded quarterly (4 times a year). To find- Write…

Q: When a piece of paper has zero folds it has one rectangle. When folded in half once it has two…

A: Let x denote the number of folds and y denote the number of rectangles.Given that when there is no…

Q: Solve. log ? + log(? + 21) = 2

Q: Ahmed is skiing down a steep hill. Ahmed’s elevation, E(t), in feet after t seconds is given by…

Q: The number of milligrams D (h) of a drug in a patient's bloodstream h hours after the drug is…

A: The given equation is D(h)=25e-0.45h The initial amount injected is D(0)=25e-0.45(0)=25e0=25(1)=25…

Question

Julie used data from 2017 to create this function to model the amount of daylight in New York City
throughout any year. The variable t represents the number of days beginning with the spring
equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes.
1. According to Julie's function, what are the dates in 2017 with the greatest amount and least
amount of daylight time? What is the amount of daylight time during each of these days, in hours
and minutes? Explain your reasoning.
January
MTWTFS
2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D.
a. Explain how your responses to Question 1 relate to the A-value in this context.
b. What is the meaning of the B-value and D-value in this context.
2017
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31
May
SMTWTFS
1 2 3 4 5 6
7
8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
29 30 31
September
SMTWTFS
D(t) = 175.5 sin 365t
12
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
Your DoononcOOL
February
t + 732
April
TWTFSSMTWTFSS MTWTF
5 789
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28
1 2 3 4
11 5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31
June
SMTWTFS
1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30
March
October
SMTWTFS
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31
July
SMTWTFS
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30 31
November
SMTWTFS
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30
August
SMTWTFS
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
December
SMTWTFS
12
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The following graph shows the amount of power obtained from wind power in years since 2000. Use the equation to determine the projected GWh that will be generated by wind power in 2025. If you don't have the 'e' key on your calculator use the number 2.718 Round to one decimal. Power generated from Wind Energy in GWh 550,000 500,000 450,000 400,000 350,000 300,000 y = 6,910.7669e0.2240x 250,000 200,000 150,000 100,000 50,000 8. 10 12 14 16 18 20 Years since 2000 1,081,589.1 GWh 12,592.3 GWh 1,868,853.9 GWh 897,657.5 GWh Giga Watt Hours
In the 1980s, it became possible to measure optical events in nanoseconds and picoseconds. Express 1 ps as a decimal.
Solve. log, x = 3 - log,(x - 2)
Solve. 4 log:(21 - 7) = 8
7 + log, 3 = log, 8. 8.
Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as shown in the graph below. The engineers measure the depth adter 1 hour to be 64 feet and after 4 hours to be 28 feet. Develop an exponential equation in y=a(b)^2 to predict the depth as a function of hours draining. Round a to the nearest integer and b to the nearest hundredth. The, graph the horizontal line y = 10 and find its intersection to determine the time, to the nearest tenth of an hour, when will the reservoir reach a depth of 10 feet?
If e5z 16, then x Round your answer to at least three decimal places.
At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is believed to have a carrying capacity of 12 grams. (6.1) Find a model for the weight of the bacterial culture as a function of time t. (6.2) If, after 4 hours, the culture weighs 8 grams, find the weight after 10 hours.
Estimate using the change of base formula.
Physicists using the radioactivity equation y = yo e - kt call the number 1 the mean life of a radioactive nucleus. Show that 95% of the radioactive nuclei originally present in a sample will disintegrate within three mean lifetimes, i.e., by time t=. Thus, the mean life of a k nucleus gives a quick way to estimate how long the radioactivity of a sample will last. ..... - kt If 95% of a sample has decayed, there is 5% remaining. How can you use the radioactivity equation y(t) = yo e to find when 5% of the sample is remaining? A. Set y(t) equal to 0.05 and solve for t. B. Evaluate y(0.05). C. Set y(t) equal to 0.05y, and solve for t. D. Evaluate y(5). Perform the operation determined in the previous step. Yo e - kt 0.05yo - kt e = 0.05 Divide both sides by yo: = In 0.05 Take the natural logarithm of each side. In 0.05 t = Solve for t. Approximate In 0.05. In 0.05 x (Round to three decimal places as needed.) Since this value is approximately equal to then 95% of a sample will…
A clock is hung on a wall so that the bottom of the clock is exactly 75 inches above the ground. The minute hand (the longest hand) is 7 inches long and touches the edge of the clock. Write a function h(t)that describes the height of the tip of the minute hand above the ground at any time, t. For ease, assume the scenario begins at noon. Recall: it takes 60 minutes for the minute hand to make a complete revolution around the clock.
Find