The number of hours of daylight, H, on day t of any given year (on January 1, tequals1) in a particular city can be modeled by the function : H(t)=11+8.5 sin⁡[2π/365 (t-83)]

Required:
a. On March 24, the 83rd day of the year, is the spring equinox. Find the number of hours of daylight in the city on this day. (Round to one decimal place as needed.)
b. On June 24, the 175th day of the year, is the summer solstice, the day with the maximum number of hours of daylight. Find the number of hours of daylight in the city on this day. (Round to one decimal place as needed.)
c. On December 24, the 358 day of the year, is the winter solstice, the day with a minimum number of hours of daylight. Find the number of hours of daylight in the city on this day. (Round to one decimal place as needed.)

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Cone a has a surface area of 384 ft2 and cone b has a surface area of 96 ft? . what is the ratio of their volume?

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?