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A pool measuring 20 meters by 24 meters is surrounded by a path of uniform width. If the area of the pool and path combined is 1596 square meters, what is the width of the path?
color guard is making flags that must have a base of 18 inches for flagpoles. what is the maximum length of the triangular flags, if they want to use a maximum of 252in.^2 of cloth?
You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible?
q1. in this question we use the vectors of r5.u 1 0 1 1 1 v 3 2 1 1 1 and w 0 1 1 1 2.a calculate u vb calculate
The regular supplier, company y charges $150 for the first 100 microchips and $2 for each microchip over this amount. The minimum order is 100 microchips. how much will it cost company x to purchase 2,0000 microchips from company y.
Which of the following is not an ethical concern for the statistical researcher?
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts 4 and 0, lowest point has y-coordinate -12.
explain the difference between the results in part a and part b.
The angle of elevation to the top of a building changes from 20 degrees to 40 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
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