Is calcium carbonate a compound or mixture?

For the function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.

$f(x)=\sqrt{-x+3}$

Sketch the graphs of the given functions by determining the appropriate information and points from the first and second derivatives. Use a calculator to check the graph.

$$y = x^3 - 12x + 12$$

A mountain bike tire has a diameter of 26 inches. To the nearest foot, how far does the tire travel when it makes 32 revolutions?

What united the scholars of different cultures who worked in the House of Wisdom?

In a recent study of the hourly wages of maintenance crew members for major airlines, the mean hourly wage was found to be $20.50, with a standard deviation of$3.50. Assuming the distribution of hourly wages follows the normal probability distribution, if we select a crew member at random, what is the probability the crew member earns between $20.50 and$24.00 per hour?

Write the ratio as a fraction in simplest form. 28. 18 girls to 27 boys

Find a unit vector that has:

(a) The same direction as $\textbf{a}$; and

(b) A direction opposite to that of $\textbf{a}$.

$$\textbf{a}=\left<1,2,2\right>$$

When making a location decision at the country level, which of these would be considered?

A) corporate desires

B) land/construction costs

C) air, rail, highway, and waterway systems

D) zoning restrictions

E) location of markets

Write the linear function $f$ such that it has the indicated function values. Then sketch the graph of the function.

$$f(0)=-5, f(4)=-8$$

Find the direction cosines and angles of u, and demonstrate that the sum of the squares of the direction cosines is 1. u = -4i + 3j + 5k

For the following problem, find the direction cosines and direction angles for the position vector to the given point.

(5,7,-1)

Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.

Determine each estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? If a person who works 40 hours per week earns $61,500 per year, estimate that person's hourly wage.