Which relationships would most likely be causal? Check all that apply. A.) a positive correlation between time spent exercising and the number of calories burned B.) a negative correlation between temperature and coat sales C.)a positive correlation between time spent practicing free throws and free throw percentage D.)a positive correlation between time spent on the phone with friends and the number of friends E.) a negative correlation between temperature and the number of speeding tickets

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general 11 months ago 4865

F(x) =(x+3)2−1 G(x) =−2x2+8x+3 H (t) =−16t2+28t Part A: What are the x- and y-intercepts of the graph of the function f(x)? Identify the coordinates of any maxima or minima of the function. Explain your answers. Part B: Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer. Part C: The function h(t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time, in seconds. What is the total length of time, in seconds, it took the dolphin to complete one jump? Show your work.

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general 11 months ago 1364

2 arithmetic sequences and series find the indicated term of each arithmetic sequence. 1. find the sixtieth term of the arithmetic sequence if a1 = 418 and d = 12. 2. find a23 in the sequence, –18, –34, –50, –66, .... write an equation for the nth term of each arithmetic sequence. 3. 45, 30, 15, 0, ... 4. –87, –73, –59, –45, ... find the sum of each arithmetic series. 5. 5 + 7 + 9 + 11 + ... + 27 6. –4 + 1 + 6 + 11 + ... + 91 7. 13 + 20 + 27 + ... + 272 8. 89 + 86 + 83 + 80 + ... + 20 9. ∑ (1 − 2n) 4 n=1 10. ∑ (5 + 3j) 6 j=1 11. ∑ (9 − 4n) 5 n=1 12. ∑ (2k + 1) 10 k=4 13. ∑ (5n − 10) 8 n=3 14. ∑ (4 − 4n) 101 n=1 find the first three terms of each arithmetic series described. 15. a1 = 14, an = –85, sn = –1207 16. a1 = 1, an = 19, sn = 100 17. n = 16, an = 15, sn = –120 18. n = 15, an = 54 5 , sn = 45 name _____________________________________________ date_____________________________ period _____________ 19. stacking a health club rolls its towels and stacks them in layers on a shelf. each layer of towels has one less towel than the layer below it. if there are 20 towels on the bottom layer and one towel on the top layer, how many towels are stacked on the shelf? 20. windows a side of an apartment building is shaped like a steep staircase. the windows are arranged in columns. the first column has 2 windows, the next has 4, then 6, and so on. how many windows are on the side of the apartment building if it has 15 columns? 21. training more than 380,000 people run in u.s. marathons each year. matthew is training to run a marathon. he runs 20 miles his first week of training. each week, he increases the number of miles he runs by 4 miles. how many total miles did he run in 8 weeks of training?

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general 11 months ago 5434

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.Which statements are true based on the model?Select each correct answer.A) The store earns about $19,500 in profits on its best days.B) The store loses money when 20 or more clerks are working.C) The store earns profits when no clerks are working.D) Maximum profits are earned when there are 19 clerks working.E) Maximum profits are earned when there are 10 clerks working.

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general 11 months ago 9102

There is a 70% chance that a person eats dinner, a 50% chance a person eats dessert and a 35% chance the person will eat dinner and dessert. Which of the following is true?A. Eating dinner and eating dessert are dependent events because P(dinner)*P(dessert)=0.7*0.5=0.35 which is equal to P(dinner and dessert)=0.35.B. Eating dinner and eating dessert are independent events becauseP(dinner)-P(dessert)=0.7-0.5=0.2 which is less than P(dinner and dessert)=0.35.C. Eating dinner and eating dessert are dependent events because P(dinner)-P(dessert)=0.7-0.5=0.2 which is less than P(dinnerand dessert)=0.35.D. Eating dinner and eating dessert are independent events because P(dinner)*P(dessert)=0.7*0.5=0.35 which is equal to P(dinnerand dessert)=0.35.

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general 11 months ago 3747