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As shown in the figure, AA' = 5, AB = 6, BB' = 3, the minimum value of A'M + MB' is (Figure is not to scale)
Key: 10
6.
If a polygon has the sum of its interior angles less than 2015 degrees. The maximum number of sides is...
Key: 13
Hard level
1. Let a, b, c be three positive integers with a ≤ b ≤ c such that (1 + (1 + 1/a) (1 + 1/b)(1 + 1/c) = 3. There are ... such triples.
Key: 3
Confidence interval for Population mean
the number of widgets sells can be modeled by -5p+100 where p is the price of a widget. Revenue from sales is the product of the price and the number sold. What price will maximize the revenue? What is the maximum revenue?
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
The componets of v=180i+450j represent the respective number of one-day and three day videos rented from a video store. the componets of w=3i+2j represent the prices to rent the one day and three day videos,respectively
If an arrow is shot upward on the moon with a velocity of 58 m/s, its height (in meters) after t seconds is given by H = 58t - 0.83t^2.
The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990
A boat leaves a dock at 2pm and travels due west at a speed of 15 km/h. Another boast has been heading due south at 12km/h and reaches the same dock at 3. at what time were the two boats closest together?
Solve the system with any method - Find which of the given two pairs are solutions for the following system
Assume that the average loan on a home is quoted to be $55,000.00. Calculate the monthly repayment necessary to have the loan repaid after 25 years if the interest rate is 7.5%.
1. Consider the piecewise function
Three hundred people apply for three jobs. 90 of the applicants are women.
Find the equation of the least-squares line for the given data. Draw a scatter diagram for the given data and graph the least-squares line.
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