Answer:

Step-by-step explanation:
Using the rule of exponents
with n > m
=
, thus
=
=
= 
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
Answer:
the equation of the line in slope-intercept form would be y=5/2x-5
Step-by-step explanation:
hope this helped!! :D
6 boxes of blueberry muffins and 8 boxes of corn muffins
Since we know that each box has 18 muffins, we can multiply both 6 and 8 to determine the amount of muffins present
6 • 18 = 108 blueberry muffins
8 • 18 = 144 corn muffins
To determine the price, you multiply each type of muffin by 0.50 as each muffin is worth $0.50
108 • 0.50 = 54
144 • 0.50 = 72
You add these two together to get the price
54 + 72 = $126
If you explain what the estimate is, if I didn’t answer that along the way, I can help answer it for you.