\( x+4 x=394 \) (Type an equation using \( x \) as the variable. Do not simplify.) The first tank holds \( \square \) gal and the second tank holds \( \square \) gal. (Simplify your answer. Type an integer, proper fraction, or mixed

Resolve la desigualdad \( 3 x^{2}+4 x-\frac{5}{3}>0 \)

Rationalize the denominator. (4 Points Each) \#8: \( \sqrt{\frac{3}{x}} \quad \# 9: \frac{a}{\sqrt[4]{b^{3}}} \)

Nimm an, das flexible Schwimmbecken unten sei im Inneren quaderförmig. (Innenmasse des Beckens: \( 400 \times 200 \times 90 \mathrm{~cm} \) ) Bei extremen Niederschlägen sind innerhalb von 30 Stunden schon 150 Liter pro Quadratmeter gefallen. Wie lange müsste es mit der gleichen Intensität weiterregnen, um das anfänglich leere Becken vollständig zu füllen?

Four 3-megawatt wind turbines can supply enough electricity to power 3,000 homes. How many turbines would be required to power 55,000 homes?

3. Let \( R \) be a commutative ring with unity, where \( a, b \in R, 0_{R} \) be the zero element in \( R \) such that \( a \in R \) is a unit and \( b^{2}=0_{R} \). Then show that \( a+b \in R \) is also a unit in \( R \).