When does adolescence end?

Relaciona cada palabra con un elemento numerado en el dibujo. __el banco __el paso de cebra __el semáforo __la calle __la plaza __la acera __la avenida __la señal de pare

For each equation, state the number of complex roots, the possible number of real roots, and the possible rational roots. 4x + 8 = 0

A pump is needed for 10 years at a remote location. The pump can be driven by an electric motor if a power line is extended to the site. Otherwise, a gasoline engine will be used. Use an annual cash flow analysis and an 6% interest rate. How should the pump be powered?

$$\begin{matrix} \text{ } & \text{Gasoline} & \text{Electric}\\ \text{First cost} & \text{\$2400} & \text{\$9000}\\ \text{Annual operating cost} & \text{ 1200} & \text{ 250}\\\text{Annual maintenance} & \text{ 300} & \text{ 50}\\ \text{Salvage value} & \text{ 300} & \text{ 600}\\ \text{Life, in years} & \text{ 5} & \text{ 10}\\ \end{matrix}$$

The management of a private hospital is considering automating some back office functions. This would replace five personnel that currently cover three shifts per day, 365 days per year. Each person earns $35,000 per year. Company-paid benefits and overhead are 45$$$\frac{1}{2}$ and 4% of investment, respectively. Depreciation is 15-year straight-line. Disregarding inflation, how large an investment in the automation project can be economically justified?

Find the vector v with the given magnitude and the same direction as u. Magnitude $\|\mathbf{v}\|=3$, Direction $\mathbf{u}=\langle- 12,-5\rangle$

Given the following functions F(s), find the inverse Laplace transform of each function. (a) $\mathbf{F}(s)=\frac{10(s+1)}{s^{2}+2 s+2}$. (b) $\mathbf{F}(s)=\frac{s+1}{s\left(s^{2}+4 s+5\right)}$

$$x ^ { 2 } = ( - 1 ) ^ { 2 }$$

Describe the combined variation that is modeled by each formula. $A=\pi r^{2}$

Use a graph of the function

$$f ( x ) = \frac { 1 } { 2 } x - 2$$

to find the value of y when x=2. Check your answer.

Amelia's bank account earns interest annually. The equation shows her starting balance of $200 and her balance at the end of four years,$220.82. At what rate, r, did Amelia earn interest?

$$220.82 = 200(1+r)^4$$

(a) create a scatter plot of the data, (b) draw a line of fit that passes through two of the points, and (c) use the two points to find an equation of the line. $(3, 2), (2, 3), (1, 5), (4, 0), (5, 0)$

Show that

$$f ( x ) = \frac { x - 2 } { x + 3 }$$

is invertible and find its inverse. (a) What is the domain of f? The range of

$$f^{-1}?$$

(b) What is the domain of

$$f^{-1}?$$

The range of f?

Determine whether the statement is true or false. The columns of any matrix form a basis for its column space.