A toboggan having a mass of 10 kg starts from rest at A and carries a girl and boy having a mass of 40 kg and 45 kg, respectively. When the toboggan reaches the bottom of the slope at B , the boy is pushed off from the back with a horizontal velocity of $v_{b / t}$=2 m/s , measured relative to the toboggan. Determine the velocity of the toboggan afterwards. Neglect friction in the calculation.

Graph the function. State the domain and range. $f(x)=2 e^{x-1}+1$

Compute the homology groups of the space consisting of two tangent 2-spheres.

Graph the function. State the domain and range. $f(x)=\frac{4 x}{2 x-1}$

Graph the function. Describe the domain and range. $y=-2 x^{2}+16 x-18$

Determine the domain and range of the inverse of each function. $and=0.25 e^{x 2}$

Why do you think the government considers as unemployed only those who are without employment but are looking for work?

Describe how ethnic groups have influenced population patterns in the subregion.

How did the legacy of Aksum shape later Ethiopian society?

Choose the correct term to complete each sentence. You can solve a system of equations by adding or subtracting the equations in such a way that one variable drops out. This is called the _____ method.

Graph the function. Describe the domain and range. $y=2 x^{2}-4 x-3$

Find the range of the functions. $g ( x , y ) = \sqrt { 16 - 4 x ^ { 2 } - y ^ { 2 } }$

Choose the word or term that best completes each statement or phrase.

If a system of three equations in three variables has one solution, the graphs of the equations intersect in a (point, plane).

About 1 in 3 students will be named to the local honor society. Simulate by using a number cube , and estimate the probability that from 4 randomly selected students , at least 2 will be named to the honor society.