A stationary $165 \mathrm{~kg}$ football player is tackled by a $178 \mathrm{~kg}$ player running at $8 \mathrm{~m} / \mathrm{s}$
a. How fast are they moving after the collision?
b. What is the impulse imparted on the stationary player?
c. What is the impulse imparted on the moving player?

Is $f(x)=0$ in the range of the function $f(x)=\log (x)$ ?
If so, for what value of $x$ ? Verify the result.

Graph the function. Then state its domain and range. $y=-\sqrt[3]{x-1}$

A man finds that he has a mass of 100.6 kg. He goes on a diet, and several months later he finds that he has a mass of 96.4 kg. Express each number in scientific notation, and calculate the number of kilograms the man has lost by dieting.

Determine without graphing whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. \

$$2 x-4 y=8$$

$$-2 x+y=6$$

Consider the system of equations $\\$$\ \ x-\ \ y+\ \ 3z =-8$,$2x+3 y-\ \ \ \ z=5$,$3x+2y+2kz=-3k$.For what value(s) of$k$, if any, will the system havea) no solution?b) exactly one solution? c) infinitely many solutions?

Is it possible for the range of the function to be all real numbers? Why or why not?

Find the energy needed to raise the temperature of a 2.0-kg chunk of aluminum by 18 degree Celsius.

Find the domain and range of the function

$$g(x)=\sin ^{-1}(3 x+1)$$

Find the volume of a pyramid with square base of side length a and height h.

Graph and state the domain and the range of each function. $\\$$g(x)=\ln (x+1)$

Graph the functions $f(x)=a^{x}, x \in[0, \infty),$ and $N_{t}=R^{t}, t \in \mathbf{N},$ together in one coordinate system for the indicated values of a and R. a = R = 2

A patient weighs 65 kg. How many pounds does she weigh?

Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.
x + y = 2
-3x + 4y = 36