Eve and Julian are making their own pizzas. Eve's crust weighs 18 ounces, and Julian's crust weighs 12 ounces. After Eve adds 4 spoonfuls of tornato sauce to her pizza and Julian adds 8 spoonfuls to his, the two pizzas weigh the same. Which equation can you use to find \( w \), the weight of a spoonful of tomato sauce in ounces? \[ 18+4 w=12 w+8 \quad 18+4 w=12+8 w \] How much does a spoonful of tomato sauce weigh? Simplify any fractions.

Given \( g \) and \( h \) as defined below, determine \( g+h, h-g, g h \), and \( \frac{h}{g} \). Using interval notation, report the domain of each result. \( g(x)=\frac{x+2}{x^{2}-36} \) and \( h(x)=\frac{-5 x+7}{x^{2}-36} \) (a) \( (g+h)(x)=\square \) Domain of \( (g+h)(x): \) (b) \( (h-g)(x)=\square \) Domain of \( (h-g)(x): \) (c) \( (g h)(x)=\square \) Domain of \( (g h)(x): \square \) (d) \( (x)=\square \) Domain of \( \left(\frac{h}{g}\right)(x): \)

\( A = \left[ \begin{array} { l l l } { 1 } & { 3 } & { 2 } \end{array} \right] , \quad B = \left[ \begin{array} { l } { 2 } \\ { 0 } \\ { 3 } \end{array} \right] \)

Simplify and write the trigonometric expression without any fractions: \( \tan u+\cot u \)

Given that \( f(x)=6 x-1 \) and \( g(x)=7-x^{2} \), calculate (a) \( f(g(0))=\square \) (b) \( g(f(0))=\square \)

(2.) \( \left(\frac{1}{4}\right)^{4}= \)