2. messages can be transmitted through a communication channel using two types of signals. the first type of signal, s, takes 1 microsecond to transmit. the second type of signal, l, takes 2 microseconds to transmit. there are three different messages that could be sent using exactly 3 microseconds: s- s - s, s- l and l - s (a) how many different messages can be sent in exactly 4 microseconds, and what are they? (b) if there are fn-2 messages that can be sent in exactly n - 2 microseconds, and fn-1 message that can be sent in exactly n 1 microseconds, then how any messages can be sent in exactly n microseconds? explain your answer

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2