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Find the area of the triangle POR with vertices P(-2,4,1),Q(3,1,-1),R(-1,2,-2).
Explain, in complete sentences, whether or not the expression x2 - 121 fits one of the special patterns and, if so, which one. Explain how the polynomial is factored.
question the plane passes through the point 151 and is perpendicular to the planes 2x y - 2z 2 and x 3z 4 what is
The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.44° F. What temperature represents the 95th percentile?
For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
A chemist needs to mix a 75% saltwater solution with a 50% saltwater solution to obtain 10 gallons of a 60% saltwater solution.
A theater ticket for adults is a dollars and the price of a child's ticket is C dollars. If 29 adults and 45 children attend the theater one night, how much money did the theater make?
details a partner company to american intellectual union aiu universal credit inc. would like to examine the required
a rectangular garden is 80 meters by 60 meters. part of the garden is torn up to install a strip of lawn of equal width around the garden. the new area of the garden is 800 m^2. how wide is the strip of lawn.
if the price elasticity of demand for cigarette is -0.03 then find the percentage in the quantity demanded when the price increases by 10 percent?
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
a new fence is constructed on three sides of a housing block with area 240m^2 the fourth side facing the road is left open. if 52 of fencing is used, what are the dimensions of the block?
let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders.
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