How much has each side grown if a square's area has expanded by a factor of 16?

To calculate area, multiply a surface's length by its breadth. How many square centimetres does a floor with a measurement of  $5.28 \mathrm{~m}^2$ represent? In $1 \mathrm{~m}^2$, how many square centimetres are there?

How many yards are there in a mile if a mile is $5280 \mathrm{ft}$ long and a yard contains $3 \mathrm{ft}$?

Assume a recipe for pancakes that serves five people asks for 310 grammes of flour. If you were to alter the recipe to make it serve only two people, how many grammes of flour would you use?

Assume a recipe for pancakes that serves five people asks for 310 grammes of flour. If you were to alter the recipe to make it serve only two people, how many grammes of flour would you use?

Tell whether the following expression is equivalent to $(1.5)^7$. Explain your reasoning.

$$1.5^5 \times 1.5^2$$

For this inequality: (1) sketch a graph of the function involved in the inequality, (2) use algebraic reasoning to locate x-intercepts of the graph, (3) combine what you learn from your sketch and algebraic reasoning to solve the inequality, and (4) record the solution using symbols and a number line graph. $k^{2}-3 k-4>0$

Determine each limit.

$$\lim\limits_{x \rightarrow-4^{-}} x^3$$

The current through a 0.1 H coil is given. What is the sinusoidal expression for the voltage? a. $10 \sin 100 t$ b. $5 \times 10^{-6} \sin \left(400 t+20^{\circ}\right)$

The current through a. $0.1 \mathrm{H}$ coil is given. What is the sinusoidal expression for the voltage? (a). $10 \sin 100 t$ (b). $6 \times 10^{-3} \sin 377 t$ ($c$). $5 \times 10^{-6} \sin \left(400 t+20^{\circ}\right)$ (d). $-4 \cos \left(20 t-70^{\circ}\right)$

Find the limit.

$$\lim\limits_{x \rightarrow 6} \ln (6-x)$$

a. Write the expanded form of the series $\sum_{n=1}^{5} \frac{1}{2}(3)^{n-1}$. What is the sum? b. Write the series $-2+\left(\frac{-2}{3}\right)+\ldots+\left(\frac{-2}{243}\right)$ using sigma notation. What is the sum?

Suppose that a longitudinal wave moves along a Slinky at a speed of 5 m/s. Does one coil of the Slinky move through a distance of 5 min one second? Justify your answer.

Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning.

$$5, -3, -12, -22, -33 ...$$