Solve the equation. Write all proposed solutions. Cross out those that are extraneous.

$$\sqrt { 9 - a } - a = 3$$

Find a parametric description of the line segment from the point P to the point Q. Solutions are not unique. P(0, 0), Q(2, 8)

The formula

$$A \approx 3.14 r ^ { 2 }$$

can be used to determine the area of a circle where A is the area and r is the distance from the center of the circle to the outside edge. If the area of a circular garden is 700 square feet, about how far is the distance from the center of the garden to the outside edge? Round to the nearest tenth.

Use rational exponents to simplify the radical. All variables represent positive real numbers.

$$\sqrt [ 6 ] { p ^ { 3 } }$$

Summarize the agricultural revolution's effects on how people obtained food and on human population growth.

In the exponential growth model

$$y = a ( 1 + r ) ^ { t }$$

, the quantity 1 + r is called the ____.

A pendant is in the shape of an isosceles triangle. One leg of the triangle is fastened to a stick and forms an 84° angle with the stick. What is the measure of each remote interior angle?

Suppose $y_1, y_2, \dots, y_k$ are $k$ nontrivial solutions of a homogeneous linear $n$th-order differential equation with constant coefficients and that $k=n+1$. Is the set of solutions $y_1, y_2, \dots, y_k$ linearly independent on $(-\infty,\infty)$ ? Discuss.

Which of the following could be a solution to help reverse a loss of biodiversity? A. habitat fragmentation B. reducing the size of the ozone layer C. increased use of monocultures D. reforestation E. invasive species

Find

$$\sin \theta$$

using the given trigonometric ratio.

$$\tan \theta = \frac { 5 } { 12 }$$

Describe a real-world situation in which you would use a division equation to solve a problem. Write your equation and then solve your problem.

Solve p(x + q) = r for x.

How does the principle of biogenesis pose a scientific question regarding the origin of life on Earth?

The dimensions of a sand volleyball court are represented by a width of 6y - 5 feet and a length of 3y + 4 feet. Write an expression that represents the area of the court.