Solve the equation below for x and report the answer to the correct number of significant figures. Show the steps in your calculations and write your answer in the box provided below. Justify the number of significant figures in the final answer. -4.8500 × 104 log10x (8.314) (298.15) =

A solution of 5.00% glucose (C6,H12,O6) solution is used in many medical settings. If you are given 75.0 g of this solution, how many grams of glucose did you receive? Write the value to the correct significant figures.

The quadratic formula is used to solve for x in equations taking the form of a quadratic equation, ax? + bx + c = 0. -b ± b2 – 4ac quadratic formula: x = 2a Solve for x in the following expression using the quadratic formula. 2x2 + 21x – 7.1 = 0 Use at least three significant figures in each answer. x = and x =

Aqueous hydrochloric acid  HCl  will react with solid sodium hydroxide  NaOH  to produce aqueous sodium chloride  NaCl  and liquid water  H2O . Suppose 28. g of hydrochloric acid is mixed with 53.0 g of sodium hydroxide. Calculate the minimum mass of hydrochloric acid that could be left over by the chemical reaction. Be sure your answer has the correct number of significant digits.

A certain chemical plant produces 7.46 × 108 kg of polyethylene in one year. Express this amount in decimal form

In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 8×103 suns and a radius equal to one-half the radius of our moon. What is its density in grams per cubic centimeter? The mass of the sun is 2.0×1030kg and the radius of the moon is 2.16×103mi. (Volume of a sphere =43πr3.)

A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (84. cm )· 0= ? m² 3 3

In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun, but occupying less space than our moon. Suppose that one of these black holes has a mass of 1×10^3 suns and a radius equal to one-half the radius of our moon. What is its density in grams per cubic centimeter? The mass of the sun is 2.0×10^30 kg and the radius of the moon is 2.16×10^3 mi (Volume of a sphere =4/3πr^3)

Perform the calculations below and give the results with correct significant figures. 31.816 g + 4.23 g + 0.097 g = 3.48 m × 5.916 m × 19.27 m = (0.0451 × 2.007 × 104) − (28.16 ÷ 0.874) =  g  m3

A thief plans to steal a gold sphere with a radius of 28.4 cm from a museum. If the gold has a density of 19.3 g/cm^3, what is the mass of the sphere in pounds? [The volume of a sphere is V=(4/3)πr^3]. Express your answer in pounds to 3 significant figures.