<u>T</u><u>h</u><u>e</u><u> </u><u>s</u><u>t</u><u>a</u><u>t</u><u>e</u><u>m</u><u>e</u><u>n</u><u>t</u><u>s</u><u> </u><u>t</u><u>r</u><u>u</u><u>e</u><u> </u><u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>f</u><u>u</u><u>n</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>a</u><u>r</u><u>e</u><u>:</u>
I tried them all and these two were correct, their solutions are as follows:
= f(x) = 1/2x + 3/2
= f(0) = 1/2 × 0 + 3/2
= f(0) = 0 + 3/2
= f(0) = 3/2
= f(x) = 1/2x + 3/2
= f(4) = 1/2 × 4 + 3/2
= f(4) = 2 + 3/2
= f(4) = 4+3/2
= f(4) = 7/2
So, that's how these two are correct.
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
The answer is p v q and some other one, I haven't done logic in 2 years already, so I don't know the other one. BUT, if p is true, then p v q HAS to be true because if one of the statements, p or q, is true, then p v q is true. For or statements to be true, at least one of the statements included has to be true.
Complete Question
A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?
Answer:

Step-by-step explanation:
From the question we are told that
Initial velocity 
Initial Height 
Final Height 
Generally the Newtons equation for motion is mathematically given by

Where

And

Therefore



Generally the equation for Time is mathematically Given as




Therefore the time spent on air by the ball is
