Math 30-1(B) NUMERICAL RESPONSEBrooks Composite High SchoolMrs. S. McKinneyUse the following information to answer the next question.A computer-generated partial graph of the air pressure variation of a piano'slowest note is illustrated below. The intercepts shown are at0,150-75.and 50-Air pressured tinabi o viney bluco soy word alatead0.01+JAATime1307510-0.01+x'nie-1Numerical ResponseGiven that pitch, which is measured in Hertz (Hz), is the reciprocal of the period, the pitch ofthis note, correct to the nearest tenth, isHz.Numerical Response2. The flight pattern of a certain bee can be represented by the function f(x) = cos²x - sin x +4.The range of the graph that represents this flight pattern is a ≤ y ≤b. The value of b, correct to thenearest hundredth, is

According to Bartleby guidelines I can only answer the first question of the given two.

Answered: Use the following information to answer…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 58E

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The maximum heart rate, in beats per minute, that you shouldachieve during exercise is 220 minus your age, 220 - a, where 'a' is the age. The bar graph shows the target heart rate ranges for four types of exercise goals. The lower and upper limits of these ranges are fractions of the maximum heart rate, 220 - a. If your exercise goal is to improve cardiovascular conditioning, the graph shows the following range for target heart rate, H, in beats per minute, for lower limit of range H = 7/10 (220 − a), for upper limit of range H = 4/5 (220 − a). Solve, a. What is the lower limit of the heart rate range, in beats per minute, for a 20-year-old with this exercise goal? b. What is the upper limit of the heart rate range, in beats per minute, for a 20-year-old with this exercise goal?
The short-term demand for crude oil in Country A in 2008 can be approximated by g = ((p) = 1,881,968p- 0.07 where p represents the price of crude oll in dollars per barrel and g represents the per capita consumption of crude oll. Calculate and interpret the elastcity of demand when the price is $97 per barrel.
The bar graph shows the percentage of U.S.college freshmen with an average grade of A in high school.The data displayed by the bar graph can be described by the mathematical modelwhere x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school. a. According to the formula, in 2000, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much?b. If trends shown by the formula continue, project when 65% of U.S. college freshmen will have had an average grade of A in high school.
A firms production function is Q(L) = 15L2 - 1L3 , where output (Q) is a function of a single input labour (L). Find the number of workers required to maximize total For what number of workers is average product maximum? *The symbols are not clear, can this please be redone? Please complete using Microsoft word
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The graphs show the percentage of high school seniors who hadever used alcohol or marijuana. a. Use the line graph to estimate the percentage of seniors who used marijuana in 2010. b. Use the formula to determine the percentage of seniors who used marijuana in 2010. How does this compare with your estimate in part(a)? c. Use the line graph to estimate the percentage of seniors who used alcohol in 2010. d. Use the formula to determine the percentage of seniors who used alcohol in 2010. How does this compare with your estimate in part (c)? e. For the period from 1990 through 2014, in which year was marijuana use by seniors at a maximum? Estimate the percentage of seniors who used marijuana in that year.
Anna operates a consignment shop where she sells clothes for women and children. The average consignments sold per month is 1000. The average material cost and the selling price of each consignment is $8 and $20, respectively. The monthly fixed cost to run this business is given below: Rental cost: $750Utilities: $150Advertising: $35Insurance: $100Labor cost: $4000 a. Build an influence diagram that illustrates how to calculate profit.b. Using mathematical notation, give a mathematical model for calculating profit.c. Implement your model from part (b) in Excel using the principles of good spreadsheet design.
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Time spent running (minutes) 0 15 30 45 60 75 Speed (mph) 13 11 10 9 8 0 Draw rectangles on this graph to help you underestimate the total distance traveled by the runner during the whole time. What underestimate did you obtain? Draw rectangles on this graph to help you overestimate the total distance traveled by the runner during the whole time. What overestimate did you obtain?
Part A: 1. y=12f(−x) Domain: Range: Part B: 2. y=−f(3x) Domain: Range:

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