Clipboard Math #5 Name: ______________________________ # _____ Please show all work when completing problems. Please do not use calculators when working on Clipboard Math. 1.Order from least to greatest: √10, √9, 9, 4, 3.75, √7 2. What is the value of x in the following equations? a. 𝑥 2 = 121 b. 𝑥 2 = Put a square around all irrational numbers. 5. One of the fastest supercomputers in the world is NEC's Earth Simulator, which operates at a top-end of 40 teraflops (forty trillion operations per second). How long would it take this computer to perform 250 million calculations? c. x3 = 3. Write the following numbers in scientific notation. a. 120030000000 4.Write in exponential form with positive exponents. a. 𝑥 15 𝑦 −5 𝑧 (𝑥 −2 )(𝑦 8 )(𝑧 −4 )(𝑥 7 )(𝑦 3 ) 9 49 125 216 6. Divide 2.4 108 by 1.2 105 by writing the numbers in standard form, then dividing. Write your answer in scientific notation b. 0.00450006 7. Seth made a small rectangular table for his workroom. The sides of the table are 36" and 18". If the diagonal of the table measures 43", is the table square? A table which is "square" has right angles at the corners. b. 𝑎−2 𝑏𝑐 7 𝑎−2 𝑏6 𝑐 4 𝑎𝑏20 𝑐 −15 8. Manchester Street and Allenville Avenue intersect. If Manchester Street is 12 meters wide and Allenville Avenue is 16 meters wide, what is the distance between two opposite corners of the intersection? Clipboard Math #5 Name: ______________________________ # _____ Please show all work when completing problems. Please do not use calculators when working on Clipboard Math. 9.How many solutions 10. A sphere has a diameter 11. Lebron James decides to 12. In the summers, Flo Rida runs an ice of 8 feet. What is its volume? start saving water by collecting cream parlor in Hull, MA. Flo Rida orders does the equation below rain in a barrel. Lebron James ice cream in cylindrical cartons that are have? Please show your buys a barrel 2 feet across and 10 centimeters in diameter and 15 work. Explain how you 3.5 feet tall, and fits it with a centimeters tall. Using a scoop that is 4 know your answer is funnel of the same width and centimeters in diameter, how many correct. half the height. What is the total (perfectly spherical) scoops will Flo Rida -2(-x + 3) + 4x = 3(2x + 7) + 8 volume of rain that Lebron get out of each carton? James can collect? 13. The following diagram shows parallel lines cut by a transversal. What is the measure of 2? 14. The following diagram shows parallel lines cut by a transversal. What is the value of x? 15. What is the measure of angle B? 16. Find the measures of angles 1 and 2. Clipboard Math #5 Name: ______________________________ # _____ Please show all work when completing problems. Please do not use calculators when working on Clipboard Math.