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A balloon is rising vertically above a level, straight road at a constant rate of 3 feet/sec. Just when the balloon is 134 feet above the ground, a bicycle moving at a constant rate of 19 feet/sec. passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 6 seconds later?
What is the greatest number of poster boards Adam can make if he uses all of the stamps?
Find a vector in R5 which is not a linear combination and find a vector equation for the line through the points
A cable 16 m long runs from the top of a utility pole to a point on the ground 4 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a king, what is the probability that the second card that you select is a heart?
Write a system of 5 equations in standard form to represent this problem. Write the matrix equation in the form AX=B.
Assuming the company uses a safety stock of 20 units resulting in a reorder point of 60 units, what is the expected lead-time for delivery?
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
The perimeter of a rectangle is 56 feet. Describe the possible lenghts of a side if the area of the rectangle is not to exceed 115 square feet.
Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
How far should its base set away from the building wall? Explain your answers and show your calculation. NOTE: You may need to apply the Pythagorean Theorem when solving this question.
Use the distance formula to find the set of points S satisfying the condition that every point P(x,y) in the set is an equal distance from the line y=-2 and the point (0,2).
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