So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.
The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth is equal to

where
a is the initial value
r is the rate of growth
x is the time in hours
y is the value of the quantity
we have

substitute


For x=22 hours
substitute

Answer:
90°
i went on a whim and guessed it was a right angle, sorry I can't provide reasoning! but it is for sure 90°
Step-by-step explanation:
14x + 5 + 90 = 165
14x + 95 = 165
-95 -95
14x = 70
/14 /14
x = 5
14(5) + 5 +90 = 165
70 + 95 = 165
165 = 165
Answer:
(a) h^-1(x) = (x+6)/6
Step-by-step explanation:
The inverse relation can be found by solving for y: x = h(y).
<h3>Solution</h3>
x = h(y) . . . . . the inverse relation
x = 6y -6 . . . . . use the function definition
x +6 = 6y . . . . add 6
(x +6)/6 = y . . . . divide by 6
The inverse function is ...

Answer:
To draw the perpendicular bisector of any line segment, the compass opening should be the kept constant at any value a little more than half the length of the line segment. Then the compass point should be kept on one end and arcs drawn above and below and then keeping the same compass opening the same as mentioned before, the compass point should be placed on the other end and the arcs should be drawn above and below the segment touching the previous arcs.
Thus, out of the given options, the first option best suits the next step Herberto should take.
Step-by-step explanation: