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In Utah, a license plate consists of 3 digits followed by 3 letters. The letters I, O, and Q are not used, and each digit or letter may be used more than once. How many different license plates are possible?
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet.
I need assistance in solving the following linear system for x using Cramer's rule and must show the work:
Type your question herA population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000,000 bacteria? Round your answer to the nearest integer. Do not include ..
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
Three congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?
A manufacture has been selling 1500 television sets a week at 360 each. A market survey indicates that for each 15 rebate offered to a buyer, the number of sets sold will increase by 150 per week.
Use a graphing utility to graph A(x) and determine the dimensions of an open box with the smallest surface area possible.
Complex problems
a grain of silo has the shape of a right circular cylinder topped by a hemisphere, as shown below. if the silo is to have a capacity of 504(pie) ft^3, determine the radius and height of the silo that requires the least amount of area to construct.
A gun has a muzzle speed 120 m/s. Find two angles of elevation that can be used to hit a target 600 m away. (assume that the gun and the target are at the same height)
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
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