Plz help me and explain it.

Mathematics

1 answer:

Schach [20]4 years ago

6 0

The second windsurfer is going faster cuz 5 meters = 16.4042.

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A 50-gal tank initially contains 20 gal of pure water. Salt- water solution containing 0.5 lb of salt for each gallon of water b

icang [17]

Answer:

x(15) = 21 lb

Step-by-step explanation:

Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing

dV/dt = 4 - 2 =2gal/min

So, the equation for volume at cetain time t at given conditions and values becomes,

V(t) = 2t + V

V(t) = 2t + 20 gal-------------------euqation (1)

Rate of change in amount of salt = rate of salt in - rate of salt out

dx/dt = {0.5*4} - {[x(t)/V(t)]*2}

dx/dt = 2-2[(x(t))/(2t+20)]

dx/dt = 2-[(x(t))/(v(t))] lb/min

Now, with integrating factor, we get

exp[∫(1/(1+10))dt)] = t+10

the equation becomes

(t + 10)*x' + x = 2*(t+10)

((t+10)*x') = 2*(t+10)

(t+10)*x = t² + 20t + C

As x(0) = 0,

x(t) = (t²+20t)/(t+10)

x(15) = (15²+20*15)/(15+10)

x(15) = 21 lb

4 0

3 years ago

The graph of a linear function intersects with the x axis at a point with an abscissa of 4 and with the y axis at a point with a

Leni [432]

We know that

points are
x intercept
A (4,0)

y intercept
B (0,11)

step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4

with m and the point B (0,11)
y-y1=m*(x-x1)
y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11

the answer is
<span>the formula of the function is
</span>y=-(11/4)x+11

see the attached figure