a. Calcular la longitud de la hipotenusa del triángulo rectángulo utilizando teorema de Pitágoras \( \mathbf{b}=12 \mathrm{~m} \)

Jimmy decides to mow lawns to earn money. The initial cost of his electric lawnmower is \( \$ 350 \). Electricity and maintenance costs are \( \$ 6 \) per lawn. Complete parts (a) through (c) a) Formulate a function \( C(x) \) for the total cost of mowing \( x \) lawns. \( C(x)=350+6 x \) b) Jimmy determines that the total-profit function for the lawn mowing business is given by \( P(x)=9 x-350 \). Find a function for the total revenue from mowing \( x \) lawns. \( R(x)=15 x \) How much does Jimmy charge per lawn? \( \$ \square \)

A) eroans la norauia N.C a. 936000000

Assume that there is a \( 10 \% \) rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four decimal places as needed.)

12) through: \( (0,3) \) and \( (4,-3) \)

3.1.2 4. Calculate \( x \) if \( 2 \sin \left(x-30^{\circ}\right)=\cot 150^{\circ} a n d 0^{\circ} \leq x \leq 360^{\circ} \) 3.1 \( \cos \left(\phi+10^{\circ}\right)=\frac{1}{2} ; \) if \( 0^{\circ}<\phi+10^{\circ}<10^{\circ}<360^{\circ} \) 3.2 Sketch the graphs \( y=\tan x \) and \( y=2 \sin x \) on the same set of axes for the domain \( 10^{\circ} ; 360^{\circ} \). Show clearly on your sketch how to Obtain the values of \( x \) where: 3.2.1 \( \frac{1}{2} \tan x=\sin x \)