Answer:
145 ounces
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Step-by-step explanation:
Answer:
No, it's not.
Step-by-step explanation:
2b + y = 15 is not an expression because it's an equation containing an equal sign. An expression cannot include inequality signs or equal signs.
Answer:
- given
- addition property of equality
- addition property of equality
- division property of equality
- symmetric property of equality
Step-by-step explanation:
In step 2, -3x was added to both sides in accordance with the addition property of equality.
The same property lets you add 18 to both sides, as in step 3.
The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)
Swapping sides of the equal sign is allowed by the symmetric property of equality.
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
