Horsepower is a unit of power; one horsepower (1 hp) is equivalent to 745 watts. The world record for climbing a 25-feet rope was set by Garvin Smith in Los Angeles in 1947, when he climbed the 25 feet in 4.7 seconds. Assuming that Mr. Smith has a mass of 65 kg, calculate the average power (in both watts and horsepower) that he generated during his climb.

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.

Which kind of energy is stored in a chemical bond? (1) potential energy (2) kinetic energy (3) activation energy (4) ionization energy

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.

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) $\tan 3 \theta^{\circ}=\tan 60^{\circ}$.

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

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 $\frac{7 \pi}{12}$.

The wings on an airplane are usually angled upward relative to the body, or fuselage, of the aircraft. This is known as a dihedral, and makes the aircraft more stable in flight, especially during turbulence. a) An aircraft wing is 12 ft long and has a dihedral angle x. Determine an expression for the vertical displacement, $h_1$, above the bottom of the fuselage, in terms of x. b) Some aircraft have a double dihedral. Suppose that a wing is designed as shown, with an initial dihedral angle of x for the first 6 ft, and an additional angle x for the next 6 ft. Show that $h_{2}=6 \sin x(1+2 \cos x)$.