Answer:
Inverse Laplace of 
will be 
Step-by-step explanation:
We have to find the inverse Laplace transform of 
We know that of 
is 
As in H(s) there is square of 
So i inverse Laplace there will be multiplication of t
So the inverse Laplace of 
will be
Answer:
is it all of them
Step-by-step explanation:
Answer:
53.13°
Step-by-step explanation:
Using Sine rule
b / Sin B = a / Sin A
5/ Sin90 = 4 /Sin A
5/1 = 4 /SinA
Sin A = 4/5
A = arc sin(0.8)
A = 53.13010
A = 53.13 °
Answer:
30% constituents=20 mL
10% constituents=180 mL
Step-by-step explanation:
x= 30% volume
y=10% volume
For our first equation, we know the total volume is 200 mL and is the sum
x+y=200
y=200-x (1)
For our second equation, we do a mass balance for 200 mL of final solution.
12% w/v = 0.12 g/mL
This means that in 1 mL of solution, we have 0.12 g of NaCl.
For any solution, concentration multiplied by volume will give the mass of NaCl:
Mass in x mL= C*V (g/mL) (mL)
So in 200 mL, we have
0.12*200 (g/mL) (mL)
=24g of NaCl
Cx*Vx + Cy*Vy=24
0.3x+0.1y=24 (2)
Substitute y=200-x into (2)
0.3x+0.1(200-x)=24
0.3x+20-0.1x=24
0.2x=24-20
0.2x=4
Divide both sides by 0.2
0.2x/0.2=4/0.2
x=20
Substitute x=20 into (1)
y=200-x
y=200-20
y=180
30% constituents=20 mL
10% constituents=180 mL
Answer:
90 bikes.
Step-by-step explanation:
The bike store earns:
(120-80) = 40 dollars per bike sold.
Hence, to break even, the store must sell:
3600/40 = 90 bikes per month.
Hope this helped!
