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A major league pitcher can throw a baseball in excess of 48.8 m/s. if a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 15.7 m away from the point of release?
Suppose a retiree wants to buy an ordinary annuity that pays her $2,000 per month for 20 years. If the annuity earns interest at 3.5% interest compounded monthly, what is the present value of this annuity?
Conduct the appropriate analysis of these data and determine whether there are any significant differences.
The normal body temperature measured by placing the thermometer under the tongue is assumed to be normally distributed with a standard deviation of 0.7oC. Body temperatures of 52 subjects were recorded and the average is 36.83oC.
a horizontal,rectanular tank is 10' long,9'wide,8'high it is filled wiyh mud to a height of 5', how many barrels of mud is in the tank?
a woman 6ft tall walks away from a light 10 ft above the ground. if her shadow lengthens at the rate of 2ft per sec, how fast is she walking?
Find the probability distribution, & the cumulative probability distribution of car arrivals.
detail the process of polynomial division when the divisor is a monomial. Demonstrate the process with an example. How does this process change when the divisor is not a monomial?
Solve the logarithmic equations
A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
Calculate the critical value
Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
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