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A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks AT ALL TIMES directly at the dog with a speed of s>1 miles per hour.
1. Find the equation (in the form y = f(x)) that describes the path of the master.
2. When and where does the master overtake the dog if s=1.5?
3. Find the function that gives the meeting time in terms of s.
If each loaf of bread is sold for $2.50, and each muffin is sold for $1.15, define an equation to represent the baker's revenue (his sales) based on the number of loaves and muffins he makes. How many of each should he make for maximum revenue?
The mean of 40 scores is -29. If each score had 5 added to it, and then divided by 4, what would the mean of these new scores be?
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
Convert to base hex, octal, decimal and binary the Mayan number (base 20) J7GE.I8H (all done in arithmetic in decimal)
Find a quadratic function that models the data shown as a function of x, the number of weeks.
Find the equation of the rational function that passes through (0,2), has a Horizontal Asymptote at y=3, a hole at x=1 and only one Vertical Asymptote at x=-2.
The plan for a 20ft-by-12ft patio has a square garden in the middle of it. If each side of the garden is x ft, the function y = 240-x^2 gives the area of the patio without the garden in square feet.
Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
The mass of Saturn is about 5.688 10^23 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Saturn is the mass of the sun?
What would be the missing piece of information given the following information: Find the slope of the line that passes through the points
Place the following set of numbers in ascending order. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9
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