Write two goals that you think would benefit society, and describe an incentive that will accomplish each goal. Goal: ________ Incentive: _________

A satellite will travel indefinitely in a circular orbit around a planet if the normal component of the acceleration of the satellite is equal to $g(R / r)^{2}$, where g is the acceleration of gravity at the surface of the planet, R is the radius of the planet, and r is the distance from the center of the planet to the satellite. Knowing that the diameter of the sun is 1.39 Gm and that the acceleration of gravity at its surface is 274 $m/s^2$, determine the radius of the orbit of the indicated planet around the sun assuming that the orbit is circular.

Determine the absolute value of the number. |-4|

A physics student measures the speed of sound in air as $352 \mathrm{m} \cdot \mathrm{s}^{-1}$. A reference source lists the speed as being $344 \mathrm{m} \cdot \mathrm{s}^{-1}$. Calculate the percentage error in the student’s experimental result.

Find the cofactor of each element in the second row of each matrix.

$$\left[\begin{array}{rrr} -2 & 0 & 1 \\ 1 & 2 & 0 \\ 4 & 2 & 1 \end{array}\right]$$

Suppose you have the equation $\frac{1}{2} x=10$. a. Use the Multiplication Property of Equality to write at least 3 equations that have the same solution. b. Use the Division Property of Equality to write at least 3 equations that have the same solution.

Create a description for an algebraic expression and swap descriptions with a classmate.

Find all values of $\theta$ in the interval $0 \leqslant \theta \leqslant 360$ for which (a) $\sin 2 \theta^{\circ}=\cos 36^{\circ}$, (b) $\cos 5 \theta^{\circ}=\sin 70^{\circ}$, (c) $\tan 3 \theta^{\circ}=\tan 60^{\circ}$.

Analyse the key features of the function $f(x)=\frac{\sqrt{x}}{\sqrt{x}-1}$ and sketch its graph. How does it compare to the graph of $f(x)=\frac{x}{x-1}$?

Compare your sort with your classmates' sorts. Create a list of the different ways your class grouped the numbers.

Evaluate. a) $\log _{2} 16^{3}$ b) $\log _{4} 8^{2}$ c) $\log 100^{-4}$ d) $\log 0.1^{\frac{1}{2}}$

a) Perform some research on the carbon fusion cycle. Describe the steps of the cycle and how energy is produced. b) Pose and solve two problems related to the carbon fusion cycle that involve exponential equations.

Solve for the variable to two decimal places. $6,000=5,000 e^{0.0325 t}$

a) Determine the exact radian measure of $100^{\circ}$. b) Determine the exact degree measure of $\frac{7 \pi}{12}$.