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A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 50 degrees. At what rate is the distance from the plane to the radar station increasing 4 minutes later?
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
two angles are complementary. The sum of the measure of the first and the one-fourth of the second angle is 62.25 degrees find the measures of the angle.
Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..
In a state of 10 million people, 25% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.
A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time. Xavia is at an angle of depression of 13 degree. Yelena is at an angle of depression of 13 degree.
At East Zone University (EZU) there are 575 students taking College Algebra or Calculus. 345 are taking College Algebra, 302 are taking Calculus, and 72 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
What do you feel are the advantages of using graphs to show the relationships between variables? Give examples that demonstrate your opinions.
There were 116 fewer blue balloons than white ones. How many balloons of each color did Marty inflate?
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
a grocer mixes together four pounds of peanuts costing $2 per pound with two pounds of walnuts costing $5 per pound. what should the price per pound of this mixture be?
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