Determine, for vectors u = i + 2j - k, v = - i + j + k, w = i + k (a) a unit vector in the direction u + 2v - 3w

The price, x, of a hat was first reduced by 20%, and then the new price was further reduced by 30%. What expression identifies the price of the hat after the two reductions?

A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?

Edward bikes the same route to and from school each day. After 28 school days he bikes a total distance of 389.2 miles. Edward bikes 13 mile each day.

A number has exactly eight factors. Two of the factors are 10 and 14. what is the number, and what are all of the factors?

If each necklace chain is 18 inches long, how many necklaces can be made from 137.16 centimeters of silver chain?

A company estimates its total profit (profit = total revenue minus total cost) as P (x) = 2x5 - 3x4 - 5x2 - 2, where P is in thousands of dollars and x is the number of years elapsed since the company was founded.

On a number line, the surface of a river is marked at - 225 feet and the top of a building is marked at + 18 feet, where 0 represents sea level.

The length of a rectangle is 3 inches more than its width, and its perimeter is 22 inches. Find the width of the rectangle. 4 in. 5 in. 7 in.

In 2017, the world's population was 7.451 billion people. Tge world growth rate is 1.13% annually, (a) what the projected world's population in 2035? (b) how long will it take for world's population to double?

What multiplies to 105 and adds to 16