Use a proportion to answer the question. What percent of 70 is 21?

Two blocks with different masses are attached to either end of a light rope that passes over a light, frictionless pulley suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended 1.20 m, its speed is 3.00 m/s. If the total mass of the two blocks is 15.0 kg, what is the mass of each block?

True/False. Web pages are usually formatted using the HyperText Markup Language (HTML).

Find the interval of absolute convergence for the given power series. $\sum_{n=0}^{\infty}(3 x)^{n}$

Choose the more precise measurement. 1.9 kg or 1.87 kg

Find each difference 36-88.

How are step functions related to piecewise functions?

Graph the solution set of each system of linear inequalities.

$$\left\{ \begin{array} { l } { 4 x + 6 y \leq 24 } \\ { y > 2 } \end{array} \right.$$

The number of bacteria, N, present in an agar culture dish is growing exponentially with time, t, as shown in the table. Which of the following equations correctly models the data for the number of bacteria N present at time t?

$$\begin{matrix} \text{t} & \text{N}\\ \text{0} & \text{1000}\\ \text{10} & \text{2000}\\ \text{20} & \text{4000}\\ \text{30} & \text{8000}\\ \end{matrix}$$

A. $N=1000+2^{10 t}$ B. $N=1000 \cdot 2^{\frac{t}{10}}$ C. $N=2000^{\frac{t}{10}}$ D. $N=2000 \cdot 2^{\frac{t}{10}}$

Use a graphing calculator to find the range of the given functions. Use the maximum or minimum feature when needed.

$$Y(y)=\frac{y+1}{\sqrt{y-2}}$$

The flash unit in a camera uses a special circuit to "step up" the 3.0 V from the batteries to 300 V, which charges a capacitor. The capacitor is then discharged through a flashlamp. The discharge takes $10 \mu s$, and the average power dissipated in the flashlamp is $10 ^ { 5 } \mathrm { w }$. What is the capacitance of the capacitor?

Consider the functions $f(x)=3 x+1$ and $g(x)=\frac{2}{x}$. Find $(g \circ f)(x)$.

Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. $9 x^{2}-24 x y+16 y^{2}+80 x+60 y=0$

Graph

$$y = - x + 5$$

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