The height of a cylinder is twice its radius. a sphere whose radius is 2 inches less than the radius of the cylinder is carved out of the cylinder. if the volume of the remaining portion of the cylinder is 214π cubic inches, which statements about the cylinder’s radius, x, are true? the equation x3 + 12x2 − 24x − 305 = 0 can be used to find the cylinder’s radius. the equation x3 + 12x2 − 24x − 336 = 0 can be used to find the cylinder’s radius. the radius of the cylinder is 7 inches. the radius of the cylinder is 6 inches. the radius of the cylinder is 5 inches. nextreset

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)