Mathematics
If x +1/x = 5
Find x2 + 1/x2
Car accelerates from 10m/s to 30m/s in 5 seconds
What is its acceleration?
4m/s2
An element has atomic number 17 and mass number 37. How many protons neutrons and electrons does a neutral atom have?
17 protons, 20 neutrons, 17 electrons
Why does the temperature generally decrease as altitude increases in the troposphere?
Air pressure decreases with altitude, so rising air expands and cools; additionally, the troposphere is primarily heated from Earth’s surface.
Which ancient civilization built the pyramids at Giza?
Ancient Egyptians
A quadratic has roots 2 and 7 and passes through (0,14)
Find its equation
y = x2 - 9x + 14
10kg object is pushed with a net force of 50 N
What is its acceleration?
5m/s2
10g of calcium carbonate is completely decomposed
CaCO3 -> CaO + CO2
Approximately how many grams of CO2 are produced.
Ca atomic number = 204.4g
Which desert is the largest desert* in the world?
Antartic Desert
Who was the first emperor of the Roman Empire?
Augustus
Solve: √(2x+3) = x-1
x = 4
A ball is thrown straight upward. Ignoring air resistance, what is its acceleration at the highest point?
9.8m/s2 downward
A solution has a pH of 3. Another solution has a pH of 5. How times greater is the hydrogen-ion concentration of the first solution?
100
Which country is home to Mount Kilimanjaro?
(Half points for right continent)
Tanzania
Africa
Which empire became the largest contiguous land empire in history and who was its ruler?
Mongol Empire, Genghis Khan
sin(theta) = 3/5 when theta is in quadrant II
Find cos(2theta)7/25
2kg object moving at 6m/s has what kinetic energy?
36J
4g of H reacts with 36g of O.
What mass of water can theoretically be produced and how much if any grams of reactants will be remaining?
36g of H2O with 4 grams of excess O
Which river flows through the cities of Vienna, Budapest, and Belgrade?
(Half points for their respective countries)Danube River
Austria Hungary Serbia
What treaty officially ended World War I between Germany and the Allied Powers?
Treaty of Versailles
For what value of k does
x2 + (k-3)x + k = 0
have two distinct real solutions
k<1 or k>9
5kg object is lifted 4 meters. How much gravitational potential energy does it gain?
196J
What is the only sea in the world with no coastline?
Sargasso Sea
Which West African empire became famous for its enormous wealth under the rule of Mansa Musa?
Mali Empire