Make a frequency table for the data, and find the mean. ages (in years) of members of the swim team: 14, 15, 17, 17, 18, 16, 15, 14, 16, 17, 17, 18, 17, 16, 16, 15, 14, 17 mean: ___________

$$\begin{matrix} \text{Age(years)} & \text{Tally} & \text{Frequency}\\ \text{14}\\ \text{15}\\ \text{16}\\ \text{17}\\ \text{18}\\ \end{matrix}$$

The population of River City in the year 1910 was 4200. Assume the population increased at a rate of 2.25% per year. Estimate the population in 1930 and 1945.

Solve each quadratic inequality by using a graph, a table, or algebraically.

$$-3x^2+10x<5$$

Solve. 5√x + 2 = 12

Find the angle between the diagonal of a cube and one of its edges.

For each pair of points, there are six points that could be the third vertex of an isosceles right triangle. Find the coordinates of each point.

A mass weighing 0.4 lb stretches a spring by 3 inches. Ignore damping. External vibrations create a force of $F(t)=2 \sin \omega t$ lb. Find the natural frequency, the value of $\omega$ that produces resonance and a value of $\omega$ that produces beats.

An expression that describes the relationship between each input and output

Solve the following initial value problem.

$$f^{\prime}(x)=\frac{2}{x^{2}}-\frac{x^{2}}{2}, f(1)=0$$

A typical flashlight battery will produce a $0.50-A$ current for about $3 \mathrm{h}$ before losing its charge. Determine the total number of electrons that have moved past a cross section of wire con necting the battery and lightbulb.

Use a calculator to help you solve each equation. Round each approximate answer to three decimal places.

$$0.25(2x-1.6)^2=(x-0.9)^2$$

Display each set of data in a frequency table and a line plot. test scores: 100 90 70 60 95 65 85 70 70 75 80 85 75 70 100 90

write the first five terms of the geometric sequence.a1 = 2, r = π

Write the standard form of the equation of the circle with the given center and radius. Center (-2 , 4) , r = 6