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A particle is moving along the curve y=35x+1 . As the particle passes through the point (312) , its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
a person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going.
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Crown Honda purchased one of its most popular motorcycle models for 965,000 yen. The FX rate for the yen was 142 yen per dollar at the time of purchase, but then rose to 171.8 yen by the time payment was made. What was the dealer's gain or loss on..
The cost of renting tuxes for the Choral Society's formal is $20 down, plus $88 per tux.
Allen Young has always been proud of his personal investment strategies and has done very well over the past several years. He invests primarily in the stock market.
A car dealer, at a year-end clearance sale, reduces the list price of last year's models by 15%. If a certain model has a discounted price of $8000, what was the list price? How much can be saved by purchasing last year's model?
Find the largest possible total area of the four pens.
A machinist can produce 114 parts in 6 minutes .At this rate , how many parts can the machinist produce in 15 minutes.
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
A surveyor wishes to find the height of a mountain. From where he is standing, the angle of elevation to the top of the mountain is 30.0°. He walks 100m closer to the mountain and finds that the angle of elevation is now 30.3°. How many meters hig..
Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain ..
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