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A building is 479 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 21 inches tall. Which scale will allow her to make the tallest model that will fit in the display case?
A conical tank (with vertex down) is 12 feet across the top and 14 feet deep. Water is flowing into the tank at the rate of 11 cubic feet per minute, find the rate of change of depth of water when the water is 6ft deep.
Probability problems based on Poisson & Normal distribution
From the top of a building 70 meters high, the angles of depression of two objects that are directly east of the observation position are 38° and 25° respectively. find the distance between the objects.
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Calculate the mean of each sample
Let C be the line segment form P(1,0,2) to Q(-2,3,1), and let F be the force given by F(x,y,z)= 2zi - yj + 2xk. Find the work done by F in moving a particle along C.
the passport card charges a customer 1.5% per month on the customer's unpaid balance find the interest owed to the credit card company when the customers's unpaid balance for the month is $8.00.
If the fund earns interest at the rate of 10% year compounded quarterly, determine the size of each (equal) quarterly installment that should be deposited in the fund.
A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. How many years has it gone? (use 22/7 for pi)
detail the process of polynomial division when the divisor is a monomial. Demonstrate the process with an example. How does this process change when the divisor is not a monomial?
Calculate the yield of a wafer with a 15 cm diameter, a cost of 12, contains 84 dies and has a 0.020 defects/cm^2
A satellite dish, is the shape of a parabola. Signals coming from a satellite strike the surface of the dish and are reflected to the focus where the receiver is located.
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