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Consider the area A of the triangle with vertices [a1 a2]^T [b1 b2]^T [c1 c2]^T. Express A in terms of:
det[a1 b1 c1; a2 b2 c2; 1 1 1]
Find three consecutive even integers such that the sum of twice the smallest and four times the largest is 304.
there are 6 more fifth-grade students than third-grade students. There are an equal number of third and fourth-grade students. How many thirdgrade students are in the band?
A firefighter aim a fire hose from 4 feet above the ground at a window that is 26 feet above the ground. The equation h=-0.01d^2+1.06d+4 models the path of the water when h equals height in feet
A chef wants to make 1 gallon (128 ounces) of a 35% vinegar-to-oil salad dressing. He only has pure vinegar and a mild 4% vinegar-to-oil salad dressing on hand. How many ounces of each should he mix to make the desired dressing?
a paint mixture contains 14 gallons of base for every gallon of color. in 510 gallons of paint, how many gallons of color are there?
Suppose the current is 3 amps and increasing at 10-2 amp/sec and R1 is 3 ohms and increasing at 0.5 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing. Give your answer to 4 decimal place..
Determine the population mean
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
determine the extreme value of f(x,y) on 0
how many seconds after the rock is thrown will it reach maximum height, and what is that height in meters? how many seconds after the rock is thrown will it reach the ground?
How much wire should be used for the circle in order to minimize the total area?
A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 186 square feet?
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