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Apples sell for $2 per pound and oranges for $3 per pound. suppose Ben bought 5 pounds of fruit at the cost of $12. how many pounds of each kind of fruit did ben buy.
A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'. Further, we can specify that T take any 3 points on R onto any 3 points of R'. If we do specify Tz_j for j=2,3,4 (distinct z_j in R), then T is unique.
To find the interval of definition look for points where the intergral curve has a vertical tangent.
Calculate the energy required to produce 7.00 mol Cl2O7 on the basis of the following balanced equation.
A building is 50m high and its shadow on the ground is 92m long, find the angle of elevation of the building from the ground.
A wooden artifact from an ancient tomb contains 20 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.)
What Increase in the objective function coefficients in this model would change the optimal solution point? Explain your answer.
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
A circular swimming pool has a diameter of 30 ft, the sides are 5 ft high, and the depth of the water is 2 ft. How much work is required to pump all of the water out over the side? Use the fact that the water weighs 62.5 lb/ft3.
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
An automobile manufacturer finds that 80,000 cars can be sold if each is priced at $12,000. However, the number sold increases by 25 for every $2 decrease in the price. The manufacturer has fixed costs of $45,000,000; in addition, it costs $5,500 ..
Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. INTERPRET the answer.
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