Alice's magical cake in the shape of a half-sphere was placed in a box as shown. When she took her pill that night the cake and box grew at rates to maintain tangency. Find the rate at which the space between the cake and the box is growing when the top of the cake box has an area of 100ft2 and the perimeter of the top of the cake box is growing at 32ft/min. (Vsphere = 3 4 π r 3 )

differnt varibles efect the range

step-by-step explanation:

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

probability for j is 1/4

while

a is 1/6