(1) \( 9 \&-3 \) (3 \( -\frac{3}{4} \& \frac{1}{3} \) (3) \( 4-\sqrt{3} \& 4+\sqrt{3} \)

El maestro sanguchero del "Café del Rey", ıede hacer un sándwich especiales con uno estos insumos: pan frica, pan de molde, an bagel, pan italiano y pan amasado y para acompañamiento con las carnes, dispone mo de cerdo. ¿Cuántos tipos de sándwich uede ofrecer el "Café del Rey"?

Let \( f(x)=\frac{g(x)}{2 x^{2}-32} \), where \( g(x) \) is a polynomial. Which of the following is a possible graph of \( y=f(x) ? \) Dashed lines indicate asymptotes.

When studying radioactive material, a nuclear engineer found that over 365 days, \( 1,000,000 \) radioactive atoms decayed to 973,521 radioactive atoms, so 26,479 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day b. Find the probability that on a given day, 51 radioactive atoms decayed. a. The mean number of radioactive atoms that decay per day is 72.545 (Round to three decimal places as needed.) b. The probability that on a given day, 51 radioactive atoms decayed, is (Round to six decimal places as needed.)

(5) En la lormación del ácido niltico tiene lugar la siguiente reación \( \mathrm{N}_{2} \mathrm{O}_{5}+\mathrm{H}_{2} \mathrm{O} \) Para formar 630 g del ádido se necesitan 540 g del ódodo. Calcula. a) La cantidad de agua necesaria para que se complete la reacción anterior

A company decides to begin making and selling computers. The price function is given as follows: \[ p=-50 x+2300 \] where \( x \) is the number of computers that can be sold at a price of \( p \) dollars per unit. Additionally, the financial department has determined that the weekd) fixed cost of production will be 7000 dollars with an additional cost of 100 dollars per unit. (A) Find the revenue function in terms of \( x \). \( R(x)=\square \) (B) Use the financial department's estimates to determine the cost function in terms of \( x \). \( C(x)=\square \) (C) Find the profit function in terms of \( x \). \( P(x)=\square \) (D) Evaluate \( P^{\prime}(x) \) at \( x=250 \). \( P^{\prime}(250)=\square \)