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A particle is moving along the curve y= 5sqrt(5 x + 11). As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?
A flagpole casts a shadow of 20 ft long. If a man 6ft tall casts a shadow 4.3 ft long at the same time, how tall is the flagpole?
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
How much wire should be used for the circle in order to minimize the total area?
Nate built a skateboard ramp that covers a horizontal distance of 10ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.
the transamerica pyramid in san francisco is 853 ft tall with a squre base that is 149 ft on each side. what is the volume to the nearest thousand cubic foot?
The slope of the tangent line.
Give the critical region, test statistic value, & conclusion for the F test.
Find the dimensions of a rectangle with area 1000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
The General Social Survey asked the following question: If your party nominated a woman for President, would you vote for her if she were qualified for the job? 23,257 people said YES and 3,531 people said NO.
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
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