Unit #4 - Lesson #12 Exit Ticket: A population of bacteria can be modeled by P(t)= 540e^0.12t where t is the number of hours since 540 bacteria were recorded.

(a) How many bacteria does the model predict will

be present after 5 hours. Round to the nearest

whole number.

(b) Algebraically determine how many hours, to the

nearest tenth, it will take for the population to

reach 2000.

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

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step-by-step explanation:

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c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.