Simplify: -3433{“version”:”1.1″,”math”:”-3433″}

The motion detector used in a physics lab sends and receives 26 kHz ultrasonic pulses of sound waves. A pulse goes out, reflects off the object being measured, and returns to the detector. The lab is at normal room temperature. What is the wavelength of the sound waves emitted by the motion detector? Show your work or explain your reasoning.

Simplify 44-23{“version”:”1.1″,”math”:”44-23″} by rationalizing the denominator. Show your steps.

    A metal rod A and a metal sphere B, on insulating stands, touch each other as shown. They are originally neutral. First, a positively charged rod is brought near (but not touching) the far end of A. Then, while the charged rod is still close, A and B are separated. Finally, the charged rod is then withdrawn. At the end, the charge on the rod and sphere are _______________. It is NOT necessary to show work or reasoning for this problem. 

Simplify: 1241z{“version”:”1.1″,”math”:”1241z”} Show your steps.

A test consists of 10 true/false questions. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

The table shows the distribution of family size in a certain U.S. city.   Family Size Probability 2 0.427 3 0.230 4 0.194 5 0.093 6 0.039 7+ 0.017   A family is selected at random from the city. Find the probability that the size of the family is less than 5. Round to three decimal places, if needed.

Find the number of subsets of the set.    {4, 6, 8}

Evaluate the factorial.  

How many ways can a president, vice-president and secretary be chosen from a club with 12 members?