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1. Analyze the graph of the function
F(x)= x2+x-56/x+7
a) What is the domain of F(x)?
b) What is the equation of the vertical asymptote(s) of F(x)?
A regular hexagon is inscribed in a circle with a radius of 10 meters. What is the length of each side of the hexagon?
a 3kg mass with an initial velocity of 5.00i m/s collides with a sticks to 2.00 kg mass with a initial velocity of -3.00m/s find the final velocity of the composite mass.
Among those taking the Graduate Record Exam , 18 people are randomly selected. This group had a mean score of 550 and a population standard deviation of 140. What is the 95% confidence interval for the population mean for the GRE test. Identify th..
A large ladder leans against a house with the base of the ladder 4.5 horizontal feet from the base of the house. If the ladder has a slope of 3.1 feet per foot, at what height does the top of the ladder meet the house? (Round your answer to two de..
The number of dimes is 1 less than twice the number of quarters. How many of each denomination are there?
Suppose the depreciation is exponential. Find a formula for the value of the car at time t
A consumer is trying to decide between two long-distance calling plans. The first charges a flat rate of 10¢ ($0.10) per minute,
A worker on scaffolding 75 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 20 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
A volcano fills the volume between the graphs z=0 and z=1(x2+y2)10, and outside the cylinder x2+y2=1. Find the volume of this volcano.
You invested $10,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was $860, how much was invested at each rate?
Find an equation in the form y=ms +b (where possible) for each line. Solve each system of equation. Let z be the parameter.
If you have 248 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
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