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1) One morning, Justin drove 3 hours before stopping to eat lunch. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 8 hours of driving time, how fast (in miles per hour) did he drive in the morning?
2) A high-speed train makes a 320 mile nonstop run between two major cities in 512 hours. The train travels 80 mph in the country, but safety regulations require that it travel only 20 mph when passing through smaller, intermediate cities. How many hours are spent traveling through the smaller cities?
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
Telephone rate. A second long-distance telephone service charges $0.09 per minute or fraction thereof for calls lasting 10 minutes or more and $0.18 per minute or fraction thereof for calls lasting less than 10 minutes.
A 2 mile cab ride costs $1.70. A 7 mile cab ride cost $3.70. Find a linear equation that models cost as a function of distance.
A correlation has been calculated as r = -0.8, what does this mean? How does it compare to a correlation of r = 0.8?
What is Olter's beta coefficient and how does the beta coefficient influence the firm's stock value and what is the required rate of return for Olter?
The world's population was 5.51 billion on January 1, 1993 and 5.88 billion on January 1, 1998. Assume that at any time the population grows at a rate proportional to the population at that time. In what year should the world's population reach 7 ..
Problem 1 Below is part of the graph of 5x3y - 3xy2 +y3 = 6. Verify that (1,2) is a point on this curve. There's a nearby point on the curve whose coordinates are (1.07, u). What is an approximate value for u? There's a nearby point on the curve whos..
A wire lies along the piecewise linear curve extending from the point (2,4) to the point (10,6) to the point (10,9). If the density of the wire is given by p(xy)=2xy+4x , use a line integral to find the mass of the wire. p=rho
the scale of a model car is 1 inch 2.5 feet. the length of the model car is 6 inches. the width of the model car is
a test has twenty questions worth 100 points. The test consists of True/False questions worth 3 pointS each and multiple choice questions wrth 11 points. How many multiple choice questions are on the test? Solve algebraically.
A machine produces widgets at a defective rate of 6%. A sample of 6 widgets is taken, What is the probability that less than 2 of them are defective?
A wrench 0.2 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to ..
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