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Find the real solutions of each equation. $$ x+8 \sqrt{x}=0 $$

Elaine can complete a landscaping project in 2 hours with the help of either her husband Brian or both her two daughters. If Brian and one of his daughters work together, it would take them 4 hours to complete the project. Assuming the rate of work is constant for each person, and the two daughters work at the same rate, how long would it take Elaine, Brian, and one of their daughters to complete the project?

Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. $$ |3 x| \geq 0 $$

Critical Thinking You are the manager of a clothing store and have just purchased 100 dress shirts for $20.00 each. After 1 month of selling the shirts at the regular price, you plan to have a sale giving 40% off the original selling price. However, you still want to make a profit of 4 on each shirt at the sale price. What should you price the shirts at initially to ensure this? If, instead of 40% off at the sale, you give 50% off, by how much is your profit reduced?

Solve each equation in the complex number system. $$ x^{2}-6 x+13=0 $$

On a recent flight from Phoenix to Kansas City, a distance of 919 nautical miles, the plane arrived 20 minutes early. On leaving the aircraft, I asked the captain, "What was our tail wind?" He replied,"I don't know, but our ground speed was 550 knots." Has enough information been provided for you to find the tail wind? If possible, find the tail wind. \((1 \mathrm{knot}=1\) nautical mile per hour)

Use a calculator to solve each equation. Round the solution to two decimal places. $$ 6.2 x-\frac{19.1}{83.72}=0.195 $$

"Normal" human body temperature is \(98.6^{\circ} \mathrm{F}\). If a temperature \(x\) that differs from normal by at least \(1.5^{\circ}\) is considered unhealthy, write the condition for an unhealthy temperature \(x\) as an inequality involving an absolute value, and solve for \(x\).

Use a calculator to solve each equation. Round the solution to two decimal places. $$ 14.72-21.58 x=\frac{18}{2.11} x+2.4 $$

Specifications for a rod in an internal combustion engine call for a length of 5.375 inches. Lengths within 0.0025 inch of this length are acceptable. Express this situation as an inequality involving an absolute value. Use \(x\) as the actual rod length and solve for \(x\).