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Let A be a 3 X 4 matrix, let v1 and v2 be vectors in R3, and let w = v1 + v2. Suppose v1 = Au1 and v2 = Au2 for some vectors u1 and u2 in R4. What fact allows you to conclude that the system Ax = w is consistent?
The graph on V in which two such sequences form an edge if and only if they differ in exactly one position is called the d-dimensional cube. Let G be a graph containing a cycle C, and assume that G contains a path of length at least k between two ver..
If a consol bond is priced to yield 5% and pays a dividend of $250 each year, what is its current value?
two identical firms have mc 1 and face a market demand function of p 6 - q.thus total quantity q q1 q2 the sum of
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.
The average speed of a vehicle on a stretch of Route 134 between 6 a.m. and 11 a.m. on a typical weekday is approximated by the function. Find the interval where f is decreasing and the interval where f is increasing.
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
Which of the following is a characteristic of every binomial distribution?
The John Hancock Center in Chicago has a rectangular base. The length of the base measures 65 feet less than twice the width. The perimeter of this base is 860 feet. What are the dimensions of the base?
Suppose that f(0)=20 cells and the population is increasing at a rate of 12 cells/hour at that point. Find the values of a and b. According to this model, what happens to the yeast population in the long r.
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
When dealing with probability using a dice, let's assume we have a two fair, 6-sided dice that are rolled together. What is the probability of the sum of the numbers on the dices to be 8 or larger?
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