A company finds that if they price their product at \( \$ 25 \), they can sell 516 items of it. For every dollar increase in the price, the number of items sold will decrease by 12 . What is the maximum revenue possible in this situation? (Do not use commas when entering the answer) \( \$ \) What price will guarantee the maximum revenue? \( \$ \)

have been given 5.00 L of well water and asked to analyze for the presenc arsenic. You test a 75.00 mL aliquot of the water and determine a ncentration of \( 1.45 \times 10^{-5} \mathrm{M} \) (in the 75 mL ). How many moles of As are present in the entire 5.00 L of water?

Section 09.5 : Problem 14 Previous Problem Problemlist Next Problem (1 point) Find all exact solutions on the interval \( [0,2 \pi) \). If there is more than one answer, enter them as a comma separated list. \( 2 \cos ^{2}(t)-\cos (t)=1 \) \( t=\square \) help (angles)

Solve the inequality (algebraically). \( x(x+3)(5-x) \geq 0 \) A. \( [-3,0] \cup[5, \infty) \) B. \( [0,5] \) C. \( (-\infty,-3] \cup[0,5] \) D. \( (-\infty,-3) \cup(0,5) \) An answer without workstown is only worth ponit. Show vour work on vour paper. OA OB OC

Sebidang tanah berbentuk segi empat tepat mempunyai panjang 25.7 km dan lebar 18 km . Hitung luas tanah itu A rectangular plot of land has length 25.7 km and width 18 km . Calculate the area of the land (i) dalam/ in \( \mathrm{m}^{2} \).

5. Dados \( \vec{u} \) y \( \vec{v} \) vectores de \( \mathbb{R}^{n} \) tales que \( \|\vec{u}\|=13,\|\vec{v}\|=19,\|\vec{u}+\vec{v}\|=24 \), calcular: \( \|\vec{u}-\vec{v}\| \) 6. Demostrar que si \( \vec{v} \) es ortogonal a \( \vec{w}_{1} \) y a \( \vec{w}_{2} \),'eentonces \( \vec{v} \) es ortogonal a \( k_{1} \overrightarrow{w_{1}}+k_{2} \overrightarrow{w_{2}} \) cualesquiera sean \( k_{1}, k_{2} \) reales. 7. Dados los siguientes pares de vectores, hallar gráfica y algebraicamente, la proyección escalar y vectorial de \( \vec{u} \) sobre \( \vec{v} \) y de \( \vec{v} \) sobre \( \vec{u} \). a) \( \vec{u}=\breve{i}+\breve{j}, \vec{v}=\breve{i}-\breve{j} \) b) \( \vec{u}=(2 ;-3), \vec{v}=(1 ; 1) \) c) \( \vec{u}=-5 \breve{i}+4 \breve{j}, \vec{v}=-\breve{i} \) 8. Sean \( P=(2 ; 3), Q=(5 ; 7), R=(2 ;-3) \) y \( S=(1 ; 2) \). Calcular la proyección de \( \overrightarrow{R S} \) sobre \( \overrightarrow{P Q} \) y la proyección de \( \overrightarrow{P Q} \) sobre \( \overrightarrow{R S} \)