Every morning I take either bus number 5 or bus number 8 to work. Every morning the waiting time for the number 5 is exponential

Step-by-step explanation:

I included the work done

Answer

(a) dy/dt = 68 - 3.72t

(b) 64.28 m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

The average speed describes the change in distance over time, represented by dy/dt.

To find dy/dt, we differentiate y with respect to t, resulting in:

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To determine the speed at t = 1, input t = 1 into dy/dt.

dy/dt at t = 1 is:

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 amounts to 64.28 m/s

Response:

In every coordinate plane, the baseline function f(x) = |x| is illustrated by a dashed line while a translation is denoted by a solid line. Which graph depicts the translation g(x) = |x + 2| as a solid line?

In a coordinate plane, the dashed line of the absolute value graph shows a vertex at (0, 0). Meanwhile, a solid line absolute value graph has a vertex at (2, 0).

In a coordinate plane, the dashed line of the absolute value graph has its vertex positioned at (0, 0) while the solid line graph shows a vertex at (0, negative 2).

In a coordinate plane, the dashed line for absolute value has a vertex at (0, 0) while a solid line has a vertex at (negative 2, 0).

In a coordinate plane, the dashed absolute value graph has its vertex at (0, 0) while the solid line version shows a vertex at (0, 2).

Detailed clarification:

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