The period of a pendulum is the time the pendulum takes to swing back and forth. The function L=0.81t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 110 feet long. Find the period.

11.73seconds

Step-by-step explanation:

Given the expression of length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth modeled as;

L = 0.81t²

Given

Length of the pendulum = 110feet

Required

Time (period)

Substitute the given value into the formula

L = 0.81t²

110 = 0.8t²

t² = 110/0.8

t² =137.5

t = √137.5

t = 11.73seconds

Hence the period is 11.73seconds

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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!