A 6 kg mass traveling at speed 10 m/s strikes a stationary 6 kg mass head-on, and the two masses stick together. What was the initial total kinetic energy?

For each equation, (a) write it in slope-intercept form, (b) give the slope of the line, (c) give the y-intercept, and (d) graph the line. 4x-5y=20

Summarize the main steps of the nebular hypothesis.

A ball whose mass is 0.2 kg hits the floor with a speed of 8 m/s and rebounds upward with a speed of 7 m/s. The ball was in contact with the floor for $0.5\ \mathrm{ms}\left(0.5 \times 10^{-3}\ \mathrm{s}\right).$ What was the average magnitude of the force exerted on the ball by the floor?

The function T(g) = 4675 + 0.25(g - 33,950) represents the 2009 federal income tax T (in dollars) due for a “single” filer whose modified adjusted gross income is g dollars, where $33,950 \leq g \leq 82,250.$ Find adjusted gross income g as a function of federal income tax T. What are the domain and the range of this function?

Use each of the following terms in a sentence that relates to either inflation or unemployment. Series

Graph each linear function. -2y=-3x+6

How did natural selection plays a role in the changing genetic traits that the Grants observed in the medium ground finch?

Evaluate the given expression with $\mathbf{u}=(-2 ;-1,4,5), \mathbf{v}=(3,1,-5,7)$, and $\mathbf{w}=(-6,2,1,1)$. (a) $\|3 \mathbf{u}-5 \mathbf{v}+\mathbf{w}\|$, (b) $\|3 \mathbf{u}\|-5\|\mathbf{v}\|+\|\mathbf{u}\|$, (c) $\|-\| \mathbf{u}\|\mathbf{v}\|$.

Express each hexadecimal number in decimal.

$$209D$$

The general form of a nonvertical line in slope-intercept form is y = mx + b. What is the general form of a line perpendicular to y = mx + b, in slope-intercept form?

A force acts on a $1.7-\mathrm{kg}$ object whose initial speed is $0.44 \mathrm{~m} / \mathrm{s}$ and initial position is $x=0.27 \mathrm{~m}$. Determine the speed of the object when it is at the location $x=0.99 \mathrm{~m}$.

The Density Property states that there is a point between any two points on the number line. Write a rational number in simplest form that is between each pair of numbers. $\frac { 4 } { 5 }$ and $\frac { 7 } { 12 }$

find values for b such that the triangle has two solutions. A = 60°, a = 10