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A hot metal bar is submerged in a large reservoir of water whose temperature is 60 degrees F. The temperature of the bar 20s after submersion is 100 degrees F. After 1 minute, the temp has cooled to 80 degrees F.
a. Determine the cooling constant k.c. what is the formula for F(t)?d. Determine the temperature of the bar at the moment it is submerged.
a steep mountain is inclined 79 degrees to the horizontal and rises 3100 ft. above the surrounding plain. a cable car is to be installed from a point 900ft from the base of the mountain. find the shortest length of cable needed?
Amanda Thomas buys a house for $206,400 with a down payment of 20% of the price. If she takes out a 30-year mortgage at 6% compounded monthly, how much is her monthly mortgage payment?
If the snowfall from 36 randomly selected years are chosen, determine the probability that the snowfall would be less than 95 inches?
The set of bit strings that end with 00; the set of bit strings that end with 01; the set of bit strings that end with 10; and the set of bit strings that end with 11.
Find the number b such that the line y = b divides the region bounded by the curves y = 9x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The obtuse angles formed are each 145°. What is the measurement of each acute angle formed?
Use the binomial series to expand the function as a power series. Find the radius of convergence :
How many mare gallons of water will it take to fill the tank?
Where did the 2.65 come from? Almost all calculators will calculate the value of a number raised to a power. If you don't know how to do it on your calculator, get out the instruction book. Or find a scientific calculator online -- there are plent..
Choose the equation for the hyperbola centered at the origin with the given characteristics:
Find the supply and demand for particular value when supply and demand functions are given and How many videotapes are demanded at a price of $20?
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