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Wal-Mart sells thermometers ($2) and hot-water bottles ($6). In December, Wal-Mart's total sales were $1,200. Customers bought 7 times as many thermometers as hot-water bottles. How many of each did Wal-Mart sell? Check your answer.
In rectangle ABDF above, C and E are midpoints of sides BD and DF , respectively. What fraction of the area of the rectangle is shaded?
A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
Rate of change occurs in a side of a triangle with respect to the change occurs in another side - Find the rate it is dropping?
The cost C to produce x number of tennis rackets is C=160+12x. The tennis rackets are sold wholesale for $17 each, so revenue R is given by R=17x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.
Write a compound inequality to describe tha range of possible measures for side c in terms of a and b.
An efficiency study of the morning shift at a certain factory indicates than an average worker who arrives on the job at 8:00a.m. would have assembled f(x) = - x3 + 6x2 + 15x units x hours later.
What is the length of a ramp with a 12-ft horizontal leg and a 1-ft vertical leg? Give an exact answer and an approximation to three decimal places.
The force exerted by the wind on the sails of a sailboat is Fsail = 340 N north. The water exerts a force of Fkeel = 150 N east. If the boat (including its crew) has a mass of 320 kg, what are the magnitude and direction of its acceleration?
Inside a semicircular tunnel of diameter 24 feet, a vertical support beam is placed 5 feet from the side of the tunnel. How tall is the beam?
What route will take the least amount of time?
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the outward flux of F = (-x2 - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is this maximum flux?
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