Solve the problem.In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table. Using a graphing utility, fit a logarithmic function y = a + b ln x to the data. Using the function you found, estimate how long will it take for the test scores to fall below 84%. Express your answer to the nearest month.

A. 8 months
B. 20 months
C. 12 months
D. 10 months


Answer: B

Mathematics

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Solve the problem.A dome in the shape of a spherical segment has a volume of exactly 2,000,000 ft3. If the radius of the dome is  what is its height? (The volume of a spherical segment is given by .)

A. 35.569 ft B. 31.569 ft C. 35.168 ft D. 31.570 ft

Mathematics

Solve. Assume the exercise describes a linear relationship.A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3935 gallons on a day that they charge $1.40 per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $1.21 per gallon.

A. 7307 gal B. 7294.7 gal C. 7302.1 gal D. 7298 gal

Mathematics

Tell if the square root is rational, irrational, or not a real number. If the square root is rational, find the exact value; if the square root is irrational, write the approximate value rounded to two decimal places.

A. irrational; 
B. rational; 
C. rational; 
D. not a real number

Mathematics

Find the distance between the points.(-3, -1) (-1, 7)

A. 60
B. 60
C. 6
D. 2

Mathematics