For the function \( g(x)=\frac{x-5}{x+5} \), solve the following inequality. \( g(x)>0 \) Select the correct choice below and fill in the answer box wit A. The solution is

(iii) \( \sec ^{2} \theta-\cos ^{2} \beta=\sin ^{2} \beta+\tan ^{2} \theta \)

21. Water flows into a tank at a rate of 3 litres per minute. (a) If the tank fills completely in 450 seconds, what is the capacity of the tank in ml ? A hole is drilled in the bottom of the tank. Water flows out of the hole at a rate of 60 ml per second. (b) How long will the tank take to drain completely if the flow of water in continues at the same rate?

Find (a) the distance between \( P \) and \( Q \) and (b) the coordinates of the midpoint of the line segment \( P Q \). \( P(6,1), Q(7,5) \) (a) The distance between \( P \) and \( Q \) is \( \sqrt{17} \). (Simplify your answer. Type an exact answer, using radicals as needed.) (b) The coordinates of the midpoint of the line segment \( P Q \) are (Type an ordered pair, using integers or decimals.)

regards to this experiment: A. Sketch a sample standard curve (with 3 data points) that has a poor (low) \( R^{2} \) value, but still provides an accurate density determination. B. Should you be confident when using equations with low \( R^{2} \) values? How cou you improve the \( R^{2} \) value without redoing any previous data points. C. Will a high \( R^{2} \) value always provide an accurate answer? Explain with a plotted example.

Divide. If the divisor contains 2 or more terms, use long division. \( \frac{y^{3}+3 y^{2}+6}{y-2} \)