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Questions in mathematics

[Done] Type the correct answer in the box. Use numerals instead of words. Consider this expression: [tex]$\left|m^2+n^2\right|$[/tex] When [tex]$m=-5$[/tex] and [tex]$n=3$[/tex], the value of the expression is $\boxed{}$ .

[Done] In this equation, find the value of $y$ when $x=1/5$. [tex]y=7-5x[/tex]

[Done] What are the center and radius of the circle defined by the equation $x^2+y^2-6 x+10 y+25=0$? A. Center $(-3,5)$; radius 3 B. Center $(-3,5)$; radius 9 C. Center $(3,-5)$; radius 9 D. Center $(3,-5)$; radius 3

[Done] $\log _{\frac{1}{5}} 5=$

[Done] Which equation represents a line which is parallel to the line [tex]y=-\frac{2}{3} x+1[/tex]? A. [tex]2 y-3 x=-4[/tex] B. [tex]2 x+3 y=-18[/tex] C. [tex]3 x+2 y=16[/tex] D. [tex]2 x-3 y=6[/tex]

[Done] When circle P is plotted on a coordinate plane, the equation of the diameter that passes through point Q on the circle is $y=4 x+2$. Which statement describes the equation of a line that is tangent to circle $P$ at point $Q$? A. The slope of the tangent line is $\frac{1}{4}$. B. The slope of the tangent line is $-\frac{1}{4}$. C. The slope of the tangent line is 4 D. The slope of the tangent line is $- 4$

[Done] Which of the following could not be points on the unit circle? A. $\left(\frac{\sqrt{3}}{2}, \frac{1}{3}\right)$ B. $\left(-\frac{2}{3}, \frac{\sqrt{5}}{3}\right)$ C. $(0.8,-0.6)$ D. $(1,1)$

[Done] Four departments of a company need to order the following amounts of the same products. \begin{tabular}{|c|c|c|c|c|c|} \hline Department & Paper & Tape & Binders & \begin{tabular}{c} Memo \nPads \end{tabular} & Pens \\ \hline 1 & 0 & 4 & 3 & 5 & 6 \\ \hline 2 & 6 & 3 & 2 & 2 & 8 \\ \hline 3 & 5 & 6 & 2 & 0 & 0 \\ \hline 4 & 0 & 2 & 4 & 0 & 6 \\ \hline \end{tabular} The unit price (in dollars) of each product is given below for two suppliers. \begin{tabular}{|l|c|c|} \hline & Supplier A & Supplier B \\ \hline Paper & 3 & 4 \\ \hline Tape & 1 & 1 \\ \hline Binders & 5 & 4 \\ \hline Memo & 3 & 3 \\ \hline Pads & & 1 \\ \hline Pens & 1 & 1 \\ \hline \end{tabular} (a) Use matrix multiplication to get a matrix showing the comparative costs for each department for the products from the two suppliers. $\left.\begin{array}{lcc} & \text { A } & \text { B } \\ \text { Dept. 1 } & \square & \square \\ \text { Dept. 2 } & \square & \square \\ \text { Dept. 3 } & \square & \square \\ \text { Dept. 4 } & \square & \square \\ \square & \square & \square \end{array}\right]$ (b) Find the total cost over all departments to buy products from each supplier. From which supplier should the company make the purchase? A. The total cost for supplier $A$ is $$\square$ and the total cost for supplier B is $$\square$ , so the company should make the purchase from supplier B. B. The total cost for supplier A is $$\square$ and the total cost for supplier B is $$\square$ . so the company should make the purchase from supplier A.

[Done] B. Solve the following worded problems. 1. A call center tracks the number of calls handled per hour. The average is 60 calls with a standard deviation of 5 calls. If a representative has a z-score of 1.4, what was their actual number of calls handled during that hour? Given (3pts) Requirements (1pt) Equation (1pt) Solution (7pts) Answer/Conclusion (3pts) 2. A university records the scores of students on a final Statistics exam. The scores are normally distributed with a mean of 72 and a standard deviation of 10. Find the standard score (z-score) for a student who scored 85 on the exam. Given (3pts) Requirements (1pt) Equation (1pt) Solution (7pts) Answer/Conclusion (3pts)

[Done] Directions: Find the measures of central tendency for each data set. 1. The number of vegetable sales (in kilograms) imported from Baguio City: 104, 107, 109, 104, 109, 111, 104, 109, 112, 104, 109, 111, 104, 110, 109