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How many revolutions will a car wheel of diameter 32 inches make as the car travels a distance of eight miles? (Round your answer to the nearest whole number.)
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
a box contains 3 yellow,2 blue,and 4 red pencils.suppose you choose a pencil,replace,then choose another.find the probabnility of chooing yelllow,then red.
The Blue Party promises to give Jane Jr. a tax credit after she graduates. At the end of the first year after she graduates, and continuing each year afterwards, her income taxes will be reduced by $200. What is the value today of the Blue Party's..
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.10 hours per week playing organized sports. The population's standard deviation is 2.00 hours per week.
Find the solution of the differential equation
A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted.
Consider the parabola y=(x^2)/100. FInd another point on the parabola with a tangent line that goes through (100, 50).
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
Use shells to find the volume of the solid formed by revolving the region bounded by the x-axis and y=4x-x^2 about the y-axis. Sketch the area. Include a typical rectangle.
A trough is 20 ft long and its ends have the shape of isosceles triangles that are 1.5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wa..
On what bearing and at what speed should the ship travel to arrive back at its starting point 24 hours after the voyage began? (Assume that one knot is a speed of one nautical mile per hour).
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