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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?
Give the focus, directrix, and axis for each parabola:
A firm estimates its cubic production function of the following form: Q = AL3 + BL2 and obtains the following results:
State the product law for logarithms. Is it possible to use the product law for logarithms to evaluate the expression log(-7) + log(-4)?
Explain why this is no good as a definition of continuity at a point a (either by giving an example of a continuous function that does not satisfy
Define a system of equations.Solve systems of equations with two and three variables.
Possible system of equations.Consider the set of points (x, y, z) defined by the set of equations below:
Solutions of a System of Nonlinear Equations.Give an example of a nonlinear system of two equations in two unknowns having:
Helen has 1/5 of her portfolio in US stocks, 1/8 of her portfolio in European stocks, and 1/10 of her portfolio in Japanese stocks.