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Find an example to show that the convexity of S is necessary in Exercise 19.
Exercise 19
If c ? R and S is a set, define cS = {cx : x ? S}. Let S be a convex set and suppose c > 0 and d > 0. Prove that cS + dS = (c + d)S
Martin just finished working on a job in which he spent 7 hours on Monday doing prep-work and 8.5 hours on Wednesday painting. How much money does John owe him?
write the related multiplication or division sentence. draw a quik picture that shows the sentence.
You have to perform a reliability analysis of the downtime data.
What is a mathematical model? Explain in your own words. What are some examples of mathematical models that we can use when working with quadratic functions? (Minimum 300 words).
The coliform levels were assumed to vary according to a normal distribution with a mean of 10 organisms per liter and a standard deviation of 2 organisms per liter. what is the 90th percentile on this.
at the instant of take-off a long jumper has a forward velocity of 32 ms and a vertical velocity of 12 ms. find the
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
A random sample of 11 patients using the drug is selected. Find the probability that exactly two will have this mild side effect
A nuclear tower is a hyperboloid that is a hyperbola rotated around its conjugate axis. The equation of hyperbola is X^2/100^2 - y^2/150^2 = 1. The tower is 500 feet tall, the top is 150 feet above the center of the hyperbola and the base is 350 f..
Select an ordered pair from the choices below that is a solution to the following system of inequalities.
a motell clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 66 bills having a combined monetary value of $228. find the number of bills of each denomination that he has.
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