A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 260 tons of regular-grade and 480 tons of low-grade ore per week. The first mine produces 4 tons of regular-grade and 16 tons of low-grade ore per hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is \( \$ 17,000 \) per hour, and the operating cost of the second mine is \( \$ 11,500 \) per hour. The first mine can be operated no more than 35 hours a week, and the second mine can be operated no more than 24 hours a week. How many hours per week should each mine be operated to minimize the cost? Note that the ALEKS graphing calculator can be used to make computations easier. First mine: \( \square \) hour(s)

déduire que \( \overrightarrow{A^{\prime} B^{\prime}}=k \overrightarrow{C^{\prime} D^{\prime}} \)

Question(5): Find the conjugate of the number: \( \frac{1}{\sqrt{5}-2} \)

7. What the number that measures an object's resistance to being deformed elastically when stress is applied to it? a) Elastic modulus b) Plastic modulus c) Poisson's ratio d) Stress modulus 8. The law which states that within elastic limits strain produced is proportional the stress producing it is known as a) Bernoulli's law b) Hooke's law d) Poisson's law 9. What is Hooke's law? b) The relation between normal stress and corresponding strain b) The relation between shear stress and corresponding strain d) None of the mentioned.

On the interval \( [0,2 \pi) \) determine which angles are not in the domain of the tangent function, \( f(\theta)=\tan (\theta) \) What angles are NOT in the domain of the tangent function on the given interval?

24 Consider the equation of the second degree in \( x: x^{2}-(m+3) x+m=0 \), where \( m \) is a real parameter. Show that there is between the roots, when they exist, an independent relation from \( m \). (Eliminate \( m \) between \( S \) and \( P) \).