There are 56 sheep in a paddock. Each sheep is either white or black. There are 6 times as many white sheep as there are black sheep. How many black sheep are in the paddock?

Convert the following expression to exponential form: \( \sqrt{a} \)

3 Multiple Choice 10 points Simplify the expression below using rational exponents in simplest form: \( \sqrt[6]{64 x^{4} y^{2}} \) \( 2 x^{2} y^{4} \) \( 2 x^{24} y^{12} \) \( 2 x^{(3 / 2)} y^{3} \) \( 2 x^{(2 / 3)} v^{(1 / 3)} \)

(a) \( 15^{\circ} \) If the straight line \( y=k x+1 \) is parallel to the straight line \( 2 y-x=5 \), then \( k= \) \( \begin{array}{llll}\text { (a) } 1 & \text { (b) } \frac{1}{2} & \text { (c) } 2 & \text { (d) }-2\end{array} \)

Part 1 of 7 Determine the graph's end behavior. Find the \( x \)-intercepts and \( y \)-intercept. Determine whether the graph has symmetry. Determine the graph of the function. \( f(x)=x^{3}+3 x^{2}-x-3 \)

Rationalize the denominator and simplify \( \frac{\sqrt{14}-\sqrt{3}}{2 \sqrt{7}-\sqrt{6}} \)