A carpenter saws a board that is 22 feet long into two pieces. One piece is to be 1 foot longer than twice the length of the shorter piece. Find the length of each piece.

A rainbow ordinarily shows a range of colors. But if the water droplets that form the rainbow are small enough, the rainbow will appear white. Explain why, using diffraction ideas. How small do you think the raindrops would have to be for this to occur?

William earns $4,000 per month in salary. If his deductions total$1,350 per month, what percent of his gross pay, rounded to the nearest percent, does William take home?

Each pass through a lumber plane shaves off 0.015 inch of thickness from a board. How many times must a board, originally 0.875 inch thick, be run through the planer if a board of thickness 0.74 inch is desired?

A bedroom set regularly sells for $983. If it is on sale for$737.25, what is the percent of markdown?

How many pounds of red licorice bits that sell for $1.90 per pound should be mixed with 5 pounds of lemon gumdrops that sell for$2.20 per pound to make a candy mixture that could be sold for $2 per pound?

The Statue of Liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch. Isla is building a model of the statue. The model will be one-hundredth times as tall as the actual statue. How tall will the model be?

A bedroom set regularly sells for $983. If it is on sale for$737.25, what is the percent of markdown?

Determine whether each statement is true or false. If the statement is false, make the necessary change (s) to produce a true statement. The equation

$$( \sin x - 3 ) ( \cos x + 2 ) = 0$$

has no solution.

How can the sentence be rewritten with the noun in parenthesis replaced with the appropriate direct object pronoun? Modelo: Ayuda a (Marta). Ayúdala.

Deja (el coche) en el garaje. __________

Saturn has an equatorial radius of

$$6.00 \times 10 ^ { 7 } \mathrm { m }$$

and a mass of

$$5.67 \times 10 ^ { 26 } \mathrm { kg }$$

(a) Compute the acceleration of gravity at the equator of Saturn. (b) What is the ratio of a person's weight on Saturn to that on earth?

If the statement is true, write true. If it is false, change the underlined word or words to make the statement true. -Vaccination produces

$$\underline{\text{active immunity}}$$

.

Calculate the following limits using the factorization formula $x ^ { n } - a ^ { n } = ( x - a ) \left( x ^ { n - 1 } + x ^ { n - 2 } a + x ^ { n - 3 } a ^ { 2 } + \cdots + x a ^ { n - 2 } + a ^ { n - 1 } \right)$, where n is a positive integer and a is a real number. $\lim _ { x \rightarrow a } \frac { x ^ { 5 } - a ^ { 5 } } { x - a }$

A laptop computer that costs $1150 new has a book value of$550 after 2 years.Find the book values of the computer after 1 year and after 3 years using each model.