Hello,
g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32
h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0
==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s
25=-16*1.25²+v*1.25
==>v=50/1.25=40
Equation h=-16t²+40*t
There is a pattern. Each number is added by 5. So take 22 and add 5 to get 27. Just repeat until you find your answer, which would be 42.
Answer:
4 units by 12 units
Step-by-step explanation:
one side of the rectangle is x, the other side is 3x.
3x(x)=48
3x²=48
x²=48/3
x²=16
√x²=√16
x=4
substitute 4 into the original dimensions
Answer:
The solution to the differential equation y'(y + 7)y'' = (y')²
y = Ae^(Kx) - 7
Step-by-step explanation:
Given the differential equation
y'(y + 7)y'' = (y')² ..................(1)
We want to solve using the substitution u = y'.
Let u = y'
The u' = y''
Using these, (1) becomes
u(y + 7)u' = u²
u' = u²/u(y + 7)
u' = u/(y + 7)
But u' = du/dy
So
du/dy = u/(y + 7)
Separating the variables, we have
du/u = dy/(y + 7)
Integrating both sides, we have
ln|u| = ln|y + 7| + ln|C|
u = e^(ln|y + 7| + ln|C|)
= K(y + 7)
But u = y' = dy/dx
dy/dx = K(y + 7)
Separating the variables, we have
dy/(y + 7) = Kdx
Integrating both sides
ln|y + 7| = Kx + C1
y + 7 = e^(Kx + C1) = Ae^(Kx)
y = Ae^(Kx) - 7
Answer:
ga = 14
gb = 17
Explanation:
It's just simply replacing the empty spaces (let's call those x) and doing the necessary operations. If I gave you T = 10 + x, T would be equal to 10x. Similarly, in the first problem we replace x with the given number g and then do all our operations (T = 10 + g(4)), in the second one, we also have to remember that the formula to calculate T is T = 10 + g. Knowing that, we replace the first blank (y) with 10, and the second blank with our given number g. I hope you do well :D
