Rank the following nonmetals from lowest number of electrons in the outer level to highest: $Cl^-, H^+, He, H.$

On a separate sheet of paper, answer the questions below. Make sure you read carefully and answer all parts of the questions. What was the oldest major city in the Americas? What notable buildings did it have?

A private investment club has $200,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 15% year; medium-risk stocks, 10% year; and low-risk stocks, 6%/y yar. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of$20,000 yyear on the total investment. (Assume that all the money available for investment is invested.)

The graph of any equation of the form x = a is a _____ line. The graph of any equation of the form y = b is a ______ line.

Solve the system using Cramer’s rule, or show that the rule, or show that the rule does not apply because the matrix of coefficients is singular.

$$\begin{aligned} 6 x_{1}+4 x_{2}-x_{3}+3 x_{4}-x_{5} &=7 \\ x_{1}-4 x_{2} + x_{5} &=-5 \\ x_{1}-3 x_{2}+x_{3}-4 x_{5} &=0 \\-2 x_{1}+x_{3}-2 x_{5} &=4 \\ x_{3}-x_{4}-x_{5} &=8 \end{aligned}$$

Find the general antiderivative. $\int \frac{e^{x}+3}{e^{x}} d x$

Give answers correct to 3 sf. Consider the line $L_{1}$ with equation y = -2x + 6. a. The point (a, 4) lies on $L_1$. Find the value of a. b. The point (12.5, b) lies on $L_{1}$. Find the value of b. Line $L_{2}$ has equation 3x - y + 1 = 0. c. Find the point of intersection between $L_{1}$ and $L_{2}$.

¿Cómo se llama el primero trofeo de la Copa Mundial y por qué?

Find the equations of the lines that pass through the following points: (a) (1, -1), (2, 2) (b) (0, 1), (1, -1).

True or False. $\ln (x+3)-\ln (2 x)=\frac{\ln (x+3)}{\ln (2 x)}$

A baseball is a spherical ball. The hide of a baseball covers the outside of the ball. If the ball has a radius of 4 centimeters, what area of material is needed for the hide to the nearest tenth?

Find the values of x for which $\frac{\mathrm{d} y}{\mathrm{d} x}=0$. Verify your answers by using your GDC. $y=x^{2}+10 x$

The production manager of Rordan Corporation has submitted the following forecast of units to be produced by quarter for the upcoming fiscal year:

$$\begin{matrix} \text{ } & \text{1st Quarter} & \text{2nd Quarter} & \text{3rd Quarter} & \text{4th Quarter}\\ \text{Units to be produced} & \text{8.000} & \text{6.500} & \text{7.000} & \text{7.500}\\ \end{matrix}$$

Each unit requires 0.35 direct labor-hours, and direct laborers are paid $12.00 per hour. 1. Construct the company's direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. Construct the company's direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. Instead, assume that the company' s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,600 hours of work each quarter. If the number of required direct labor-hours is less than this number, the workers are paid for 2,600 hours anyway. Any hours worked in excess of 2,600 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

Graph the inequality.

$$x - 2 y \geq 4$$