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A belt connects two pulleys with radii 2 in and 4 in.. The velocity of point A on the belt is 25 ft/sec.
What is the linear velocity and angular velocity for point B?
What is the linear velocity and angular velocity for point C?
The price of a notebook was$3.10 yesterday. Today, the price rose to $3.60 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Calculate the breakeven point
In your computer store you make $1012 per computer sold. Your costs are given by the equation C(x) = 4x^2+4x-80, where x is the number of computers sold. How many computers should you sell to maximize the profit?
A rectangular garden plot has dimensions of 15 ft. by 12 ft. A uniform path around the garden increases the total area to 270 sq. ft. What is the width of the larger rectangle?
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
Joseph decided to test the numbers by seeing how much money he would accumulate by a retirement age of 65 if he put one paycheck away at the end of each year.
change all trig functions to sines and cosines and simplify. write the answer using s for sinx and c for cosx.cos
Give an example of a nonlinear system of two equations in two unknowns having: Based on your work, how would you devise a method for finding such a system having exactly n solutions?
A bacterial colony intially has 340 individuals. after 12 hours there are 1000 individuals.
Let X be the number of random numbers selected from {0,1,2,...,9} independently until 0 is chosen. Find the probability mass functions of X and Y = 2X + 1.
A computer manufacturer assigns serial numbers to its computers. The first symbol of a serial number is either A, B, or C, indicating the manufacturing plant. The second and third symbols taken together are one of the numbers 01, 02,...,12, indica..
the goal of any mathematics course is to introduce you to a variety of methods used to solve real-world problems. in
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