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A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P=-25x^2+300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
Multiple regression equation
An integer is called squarefree if it is not divisible by the square of a positive integer greater than 1. Find the number of squarefree positive integers less than 100.
The law of cosines and Pythagoras theorem.
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
Linear programming - What are the sensitivity limits for the constraints
Estimating the value of a function using 3rd Taylor polynomial and use our error guarantee to give a Plus- or-minus error to your estimate
Suppose the velocity v (in m/s) of a some moving object can be computed by the formula v=10t+4, where t (in s) is the time elapsed. What is the biggest possible error (worst case) of v if the error in the measurement of t is known to be less than 0..
How can you represent a pedigree for a mixed breed of dog (a Schnoodle, for example) using set theory? Create (describe) a Venn diagram and a numeric sentence to describe the set.
It would normally follow on from work on sequences and fractions-Ruth was investigating fraction differences. She wrote down this sequence of fractions:
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
What are the cylindrical coordinates of the point whose rectangular coordinates are x = - 4 , y= 2, and z = 4?
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