There are 24 cans of soda and they are arranged in 4 rows of 6. Each can has a radius of 4 cm and a height of 15 cm. These cans are to be packed snuggly into a case with no extra space on the top, bottom, or sides. Calculate how much empty space will not be occupied by the cans in the box.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

can you take a photo of the screen?