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A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the instant the radius is 30 cm?
A 410-ft weather tower used to measure wind speed has a guy wire attached to it 175 ft above the ground. The angle between the wire and the vertical tower 57degrees. Determine the lengh of the guywire.
In isosceles , B is the vertex. The measure of B can be represented as (8x+2). The measure of A can be represented as (9x-2). Find the measure of all three angles of the triangle. Be sure to name the angle with it's measurement (ex: angle A= ).
You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get (a) a pair
the probability that she is either rich or beautiful is 0.5, what is the probability that she is both rich AND beautiful?
Griselda budgets 45 per month before sales tax for clothes. How much will she spend on clothes each month if she is charged 6 sales tax?
The average amount of evapotranspiration at Beowawe (water vapor being transferred to the atmosphere by evaporation and plant activity) is 51.17 inches per year. How many acre-feet of water are evapotranspirated at Beowawe on the average every yea..
What is the probability that the next ramdomly chosen score is less than 84? B) What score is the lowest score you can have and still
what is the probability that each challenge will be won by a different camper? what is the Probability that Hank, one of the Seniors, will win at least one challenge?
integral over gamma of e^(iz) / z^2 dz, where gamma(t) = e^(it), 0=
a lighthouse is set 10 meters back from the edge of the shoreline, and its beacon is 52 meters above sea level. Lucy can see the beacon from her ship,
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
The scale used to build the scale model of an airplane is 1:72. Find the wingspan of the model airplane to the model airplane to the nearest tenth of a meter. Check for reasonableness.
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