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Anayah Jordan

Anayah J.

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DATA ANALYSIS: BOTTLED WATER The table shows the per capita consumption of bottled water $y$ (in gallons) in the United States from 2000 through 2007.(Source: Economic Research Service, U.S.Department of Agriculture) (a) Use the technique demonstrated in Exercises 77-80 in Section 7.3 to create a system of linear equations for the data. Let $t$ represent the year, with $t = 0$ corresponding to 2000. (b) Use Cramer's Rule to solve the system from part (a)and find the least squares regression parabola $y = at^2 + bt + c$. (c) Use a graphing utility to graph the parabola from part (b). (d) Use the graph from part (c) to estimate when the per capita consumption of bottled water will exceed 35 gallons

DATA ANALYSIS: BOTTLED WATER The table shows the per capita consumption of bottled water $y$ (in gallons) in the United States from 2000 through 2007.(Source: Economic Research Service, U.S.Department of Agriculture) (a) Use the technique demonstrated in Exercises 77-80 in Section 7.3 to create a system of linear equations for the data. Let $t$ represent the year, with $t = 0$ corresponding to 2000. (b) Use Cramer's Rule to solve the system from part (a)and find the least squares regression parabola $y = at^2 + bt + c$. (c) Use a graphing utility to graph the parabola from part (b). (d) Use the graph from part (c) to estimate when the per capita consumption of bottled water will exceed 35 gallons

Precalculus with Limits

Matrices and Determinants

Applications of Matrices and…

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Manisha Sarker verified

Numerade educator

Find the slope of a line parallel to the line whose equation is 5x−3y=18. Fully simplify your answer.

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Danielle Fairburn verified

Numerade educator

Use the information given to answer the question. Two friends join separate gyms at the beginning of January that differ in cost, in dollars, for an annual gym membership. Friend 1 joins Gym M, which costs $30 per month in addition to an annual fee of $65 . Friend 2 joins Gym N, which costs $45 per month, and there is no annual fee. A third friend is deciding on whether to join Gym M or Gym N. Which statement is true? Responses The friend will save $115 per year by joining Gym M. The friend will save $ $ 115 per year by joining Gym M. The friend will save $115 per year by joining Gym N. The friend will save $ 115 per year by joining Gym N. The friend will save $180 per year by joining Gym M. The friend will save $ $ 180 per year by joining Gym M. The friend will save $180 per year by joining Gym N.

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Matthew Wagner verified

Numerade educator

Use the information given to answer the question. Two friends join separate gyms at the beginning of January that differ in cost, in dollars, for an annual gym membership. Friend 1 joins Gym M, which costs $30 per month in addition to an annual fee of $65 . Friend 2 joins Gym N, which costs $45 per month, and there is no annual fee. If Friend 1 ’s gym memberships for the year is $245 , which equation could be used to determine the number of months, x , since Friend 1 joined the gym? Responses 65x+30=245 65 x + 30 = 245 45x=245 45 x = 245 30x+65=245 30 x + 65 = 245 x+45=245 x + 45 = 245

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Danielle Fairburn verified

Numerade educator

Consider the two data sets, which represent the total number of sales two salespeople make each week for four weeks. Salesperson 1 Salesperson 2 Week 1 12 16 Week 2 22 7 Week 3 13 20 Week 4 8 13 Which statement is true? Responses Salesperson 1 has a greater mean and a smaller standard deviation than Salesperson 2 . Salesperson 1 has a greater mean and a smaller standard deviation than Salesperson 2 . Salesperson 1 has a greater mean and standard deviation than Salesperson 2 . Salesperson 1 has a greater mean and standard deviation than Salesperson 2 . Salesperson 1 has a smaller mean and a greater standard deviation than Salesperson 2 . Salesperson 1 has a smaller mean and a greater standard deviation than Salesperson 2 . Salesperson 1 has a smaller mean and standard deviation than Salesperson 2 .

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Kathleen Carty verified

Numerade educator

A server at Restaurant 1 makes $115 on average in tips each day plus an hourly wage of $3.25, while a server at Restaurant 2 makes $60 on average in tips each day plus an hourly wage of $8.75. Which statement is true? On average, the server at Restaurant 1 makes less money than the server at Restaurant 2 for 8 hours of work. On average, the server at Restaurant 1 makes less money than the server at Restaurant 2 for 10 hours of work. On average, the server at Restaurant 1 makes more money than the server at Restaurant 2 for 8 hours of work. On average, the server at Restaurant 1 makes more money than the server at Restaurant 2 for 10 hours of work.

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Maria Dearborn verified

Numerade educator

A student is solving the equation 15+3(x−1)=12x+9 . Which describes a first step the student could use to solve the equation correctly? Responses The student can distribute 3 on the left side of the equation, resulting in 15+3x−3=12x+9 . The student can distribute 3 on the left side of the equation, resulting in 15 + 3 x − − 3 = 12 x + 9 . The student can distribute 3 on the left side of the equation, resulting in 15x+3x+3=12x+9 . The student can distribute 3 on the left side of the equation, resulting in 15 x + 3 x + 3 = 12 x + 9 . The student can subtract 15 on both sides of the equation, resulting in 3(x−1)=−3x+9 . The student can subtract 15 on both sides of the equation, resulting in 3 ( x − − 1 ) = − − 3 x + 9 . The student can subtract 15 on both sides of the equation, resulting in 3(x−1)=12x+24

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Keondre Parker verified

Numerade educator

A student purchases a binder and p pencils for school. The binder costs $7.25, and each pencil costs $0.35. If the student spends a total of $11.80, which statement is true? The equation 0.35p+7.25=11.80 can be used to find that the student purchases exactly 1 pencil. The equation 0.35 p + 7.25 = 11.80 can be used to find that the student purchases exactly 1 pencil. The equation 0.35p+7.25=11.80 can be used to find that the student purchases exactly 13 pencils. The equation 0.35 p + 7.25 = 11.80 can be used to find that the student purchases exactly 13 pencils. The equation p0.35+7.25=11.80 can be used to find that the student purchases exactly 1 pencil. The equation p 0.35 + 7.25 = 11.80 can be used to find that the student purchases exactly 1 pencil. The equation p0.35+7.25=11.80 can be used to find that the student purchases exactly 13 pencils.

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Keondre Parker verified

Numerade educator

A student works a part-time job and earns $9.50 per hour. The student plans to spend some of the earnings to buy a new pair of shoes that costs $72 . Which inequality represents the possible number of hours, h , the student would need to work to have at least $350 of the earnings remaining after buying the new pair of shoes? Responses 9.50h−72≥350 9.50 h − − 72 ≥ 350 9.50h−72≤350 9.50 h − − 72 ≤ 350 350h−72≥9.50 350 h − − 72 ≥ 9.50 350h−72≤9.50

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Keondre Parker verified

Numerade educator

A student solves the equation 3(2x+1)=6−5(−x−2) . The table shows the student’s work. Step Equation Given 3(2x+1)=6−5(−x−2) 1 6x+3=6+5x+10 2 6x+9=5x+10 3 x=1 Which statement is true? Responses The student makes a mistake between the Given and Step 1 , and the correct answer is x=3 . The student makes a mistake between the Given and Step 1 , and the correct answer is x = 3 . The student makes a mistake between Step 1 and Step 2 , and the correct answer is x=13 . The student makes a mistake between Step 1 and Step 2 , and the correct answer is x = 13 . The student makes a mistake between Step 2 and Step 3 , and the correct answer is x=19 . The student makes a mistake between Step 2 and Step 3 , and the correct answer is x = 19 . The student makes no mistakes when solving the equation and finds the correct answer. The student makes no mistakes when solving the equation and finds the correct answer.

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ANSWERED

Keondre Parker verified

Numerade educator

Find the slope of a line parallel to the line whose equation is 5x-3y=18. Fully simplify your answer.

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