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Use strong induction to show that when a convex polygon P with consecutive vertices VI, V2, ... , Vn is triangulated into n - 2 triangles.
On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
The population of a city is 50,000 in 2008 and is growing at a continuous yearly rate of 4.5%. Give the population of the city as a function of the number
Prove that if f is continuous at all values of x then so is kf where k is a constant.
Short Answer. The length of the side of a rectangular desk is given by 5x - 8y cm. The length of the front is given by 5x + 8y cm.
Graph the equation by plotting points Graph the equation by plotting points
Given the exponential function; y=100(1.5)^x, determine by the numerical method the average rate of change by calculating the slope at several arbitrarily
In May, total sales were $42000. Customers bought 5 times as many boxes of light bulbs as switch plates. How many of each did Light Bright Warehouse sell?
Mrs. Thomas also has a garden in her yard and wants to put a 50-meter rectangular fence around it.
Consider the following function f: R R defined by f(x) = x3 - 8 .
The number of bacteria present in a certain culture at time t (measured in hours) is given by P(t)=P02(0.2t). Time t=0 corresponds to 8.00 A.M.
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
The length of a rectangle is 5 meters more than its width. If the area is 66 square meters, what are the length and width?
Let A = {a, b, c, d} and the set B = { 1, 2, 3}
There exist a connected n-vertex simple graph with n+1 edges that contains exactly two cycles.
Find out the number of items sold, in each case, to achieve the annual profit value of 4000.
The relation {(5,0),(1,9),(2,4)} is not a function when ordered pair is added to the set.
Ride the Peaks. Penny’s bicycle trip from Colorado Springs to Pikes Peak took 1.5 hours longer than the return trip to Colorado Springs.
Find the equation of the line through (3,5) and (8,15). Write answer in standard form using only integers.
You are given two points representing the number of items sold at a particular price. From these two points, a linear demand function is constructed
Staring with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 400 feet of fencing
Solve by the substitution method. Determine whether the equations are independent, dependent, or inconsistent.
A rigid body is spinning with an angular speed of 60pie radians per second (1800 rpm). The axis of rotation lies in the direction of the vector 2i + 2j -k
Is there a relationship between the sign (positive or negative) of the slope of a line and the angle the line makes with the x-axis?
Let f: X--> Y and g: Y-->Z be functions. Show that if g o f is injective, then f must be injective. Is it true that g must also be injective?