Answer:
Part A
5yr old boy.
Y=-(1/8)x+113/8 x=5
Y=-5/8+113/8=(113-5)/8=108/8
Y=13.5 hrs
Yes the estimated value of sleep by this function is reasonable as it is close to childhood more sleep is likely.
Part B
20yr old boy.
Y=-(1/8)x+113/8 x=20
Y=-20/8+113/8=(113-20)/8=93/8
Y=11.63 hrs
No the estimated value of sleep by this function is not reasonable as the normal sleep of 7-8 hrs is enough for adults.
Step-by-step explanation:
Answer with Step-by-step explanation:
Let a mass weighing 16 pounds stretches a spring
feet.
Mass=
Mass=

Mass,m=
Slug
By hook's law




A damping force is numerically equal to 1/2 the instantaneous velocity

Equation of motion :

Using this equation



Auxillary equation





Complementary function

To find the particular solution using undetermined coefficient method



This solution satisfied the equation therefore, substitute the values in the differential equation


Comparing on both sides


Adding both equation then, we get


Substitute the value of B in any equation



Particular solution, 
Now, the general solution

From initial condition
x(0)=2 ft
x'(0)=0
Substitute the values t=0 and x(0)=2




Substitute x'(0)=0




Substitute the values then we get

Answer:
12 mph and 16 mph
Step-by-step explanation:
distance = speed * time
56 = s * 2 + (s - 4) * 2
56 = 2s + 2s - 8
56 = 4s - 8
64 = 4s
16 = s
s = 16
s - 4 = 12
Lake Erie
Step-by-step explanation:
Answer:
B. Y-axis
Step-by-step explanation:
I calculated it logically