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A gun has a muzzle speed of 90 meters per second. Find two angles of elevation that should be used to hit an object 160 meters away? Neglect air resistance and use g = 9.8, textrm{m}/textrm{sec}^{2} as the acceleration of gravity.
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
Finding formulas for the volume enclosed by a hypersphere in n-dimensional space.
The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
a motorboat travels 332 in 4 hoursgoing upstream 555 and in 5 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?
the vertices of the trapezoid ar ethe origin along with A (4m, 4n), B (4q, 4n), and C (4p, 0). Find the midpoint of the midsegment of the trapezoid.
A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 70 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings:
Using the appropriate substitution method and the quotient rule find the integral of: Integral: 1+tanx/1-tanx dx
From the top of a 165 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse?
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age, to the nearest year.
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