Answer:
x= 5
Step-by-step explanation:
Answer:
y + 4 = 5(x - 3)
Step-by-step explanation:
In the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE terms of what they really are.
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
To fill in the first column =
Every day is 7 dollars, which you have already answered.
The second one would be =
day 0 = 30 dollars. And then it would be 4$ for days 1 through 10.
Hope this helps!
Answer:
1352
Step-by-step explanation:
Firstly, we get the percentage growth last year. This is calculated as:
(1300-1250)/1250 * 100
= 4%
Now, we are assuming the growth rate is constant. So let’s calculate a 4% growth rate for this year. That would be:
4/100 * 1,300 = 52
The population this year would thus be 1300 + 52 = 1352
