Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
Answer:
The required solution is (5.75,-0.5). It can be written as
.
Step-by-step explanation:
The given equations are
.... (1)
.... (2)
Multiply the equation (2) by 2.
.... (3)
Subtract equation (1) from equation (3).




Put this value in equation (1).




Therefore the required solution is (5.75,-0.5). It can be written as
.
Answer:
c=45
Step-by-step explanation:
36^2+27^2=c2
1296+729=c2
2095=c2
Then square root it to get
c=45
Answer:

Step-by-step explanation:
The pressure exerted by an object is given by:

where
F is the magnitude of the force
A is the area of the surface perpendicular to the force
In this problem, the force is the weight of the books + the shelf, which is given by

where
m = 262 kg is the total mass
is the acceleration of gravity
Substituting,

The area of the four legs is:

Therefore, the pressure exerted on them is:
