3 En blå flytlina är 954 centimeter lång. Den ska klippas i tre lika långa bitar. Hur lång blir varje bit?

Find the values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point. \( (\sqrt{6},-\sqrt{2}) \) sin \( \alpha=\square \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Let \( \mathrm{b}>1 \) be a real number, \( f(\mathrm{x})=\log _{\mathrm{b}} \mathrm{x} \) and \( g(\mathrm{x})=\log _{\frac{1}{\mathrm{~b}}} \mathrm{x} \) Which of the following statements is true? A. For \( 0<\mathrm{x}<1, g(\mathrm{x})>0 \) B. For \( 0<\mathrm{x}<1, f(\mathrm{x})>0 \) C. For \( \mathrm{x}>1,01, f(\mathrm{x})<1 \)

Vlad is an attorney whose official duty is to conduct criminal proceedings on behalf of the state against those accused of having committed criminal offenses. Which of the following would be a title of Vlad's when working in this capacity? Solicitor general U.S. Attorney Defense Attorney District Attorney

12. Faced with a choice between fiscal and monetary policy to try and increase aggregate demand, Keynes believed that fiscal policy would have more effect. Which of the following was NOT one of his key reasons for holding this belief? A marks B Monetary expansion might have little effect because the demand for money is interest elastic. C If interest rates fell, consumer spending might not rise much, because it depends chiefly on incomes, not on D interest rates.

Simplify. \[ \frac{\frac{5 x^{3}}{2 x+6}}{\frac{x+5}{3 x+9}} \]