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A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is
Malik popped a ball straight up with an initial upward velocity of 45 feet per second. The hight h, in feet, of the ball above the ground is modeled by the equation h=2+48t-16t2. How long was the ball in the air if the catcher catches the ball whe..
A stone is dropped from a high cliff and falls with velocity v = 32t feet per second. How many feet does the stone travel during the first 3 seconds?
A gun has a muzzle speed of 90 meters per second. Find two angles of elevation that should be used to hit an object 160 meters away? Neglect air resistance and use g = 9.8, textrm{m}/textrm{sec}^{2} as the acceleration of gravity.
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
A production run of toothpaste requires a fixed cost of $100,000. The variable cost per unit is $3.00. If 50,000 units of toothpaste will be sold during the next month, what sale price must be chosen in order to break even at the end of the month?
Important information about Working with conditional probability. The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind".
What is the standard deviation of this sampling distribution? (Round your answer to two decimal places.)
Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that quali..
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
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