Malloy solved the equation −5x − 16 = 8; his work is shown below. identify the error and where it was made. −5x − 16 = 8 step 1: −5x − 16 + 16 = 8 + 16 step 2: −5x = 24 step 3: negative five times x over five = twenty-four over five step 4: x = twenty-four over five

Initially 100 milligrams of a radioactive substance was present. after 6 hours the mass had decreased by 4%. if the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (round your answer to one decimal place.)

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.

Two lines intersect and two of the vertical angles measure 115°. what is the measure of the other two vertical angles? 65° 85° 90° 245°