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).
2+4a=-10
First, subtract 2 from both sides.
4a=-12
Then divide 4 from both sides.
a=-3
hope it helps!
I got:
-2(2f-3g)
explanation:
used communicative property
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So,
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
There are 60 students. The winner got 70% of the 60 students votes. Let's work this one out to get the answer.
First, you need to figure out what 70% of 60 is, by using this equation.
60 x .70 = 42.
Now that you know the answer is 42, you now know that 70 percent of 60 is 42.
So, the class president got 42 winning votes!
Hope I could help!
Ossashi(づᵔᗜᵔ)づ