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If a quadratic function can be used as a model, we can find such maximums or minimums by finding coordinates of the vertex. EXAMPLE 1 Fenced-In Land. A farmer has 64 yd of fencing. What are the dimensions of the largest rectangular pen that the farmer can enclose?
The body of a murder victim was discovered at 11:00 AM. The medical examiner arrived at 11:30 AM and found the temperature of the body was 94.6o F. The room temperature was 70o F. One hour later the body temperature was 93.4o F. Estimate the time..
Find the demand function p(x), where x is the number of the spectators. (assume that p(x) is linear)
a supply and a demand function are, respectively, p=100+4q and p=180-5q here q= the number of items and p= $ per item. find the equilibrium demand and the equilibrium price.
what are the three consecutive even numbers that have a product of 480? I know it's 6, 8, 10. But how can you solve it using factoring. x(x+2)(x+4) = 480 simplifies down to x^3 + 6x^2 + 8x - 480 = 0. Then what do you do?
How good is the fit provided by the estimated regression equation? (Excellent, moderate, or not a good fit)
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
on three consecutive passes a football team gain 9 yard, loses 15 yards and gain 25 yards. what number represents the total net yardage.
This select group has been asked to consider the Colorado City Convention and Visitors Bureau survey of 25 hotels in the local area. The survey is concerned with the current availability of rooms.
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Let A_0 be contained in A_1 contained in A_2 and so on be a nested sequence of subspaces of X such that the union of all A_n is X and such that An contained in the interior of A_(n+1).
Adams High School has 171 freshman, 189 sophomores, 212 juniors, and 238 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Probability : Drawing Cards and Sampling Without Replacement, 3 cards are drawn in succession from a regular straight deck of 52 playing cards. Find the probability that
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